Top 200 Maths Questions
Two hundred quantitative aptitude questions with worked answers.
200 questions. Each answer is hidden until you open it.
- Q1MediumNumber System
What is the smallest four-digit number that is exactly divisible by 18?
- a1008
- b1000
- c1026
- d1080
Show the answer
Answer: a — 1008
Dividing 1000 by 18 leaves a remainder, and the next multiple is 56 times 18, which is 1008.
Source: SSC CGL / RRB NTPC exam pattern
- Q2HardNumber System
What is the digit in the unit place of the product of 3 raised to the power 65, 6 raised to the power 59 and 7 raised to the power 71?
- a2
- b6
- c8
- d4
Show the answer
Answer: d — 4
Unit digits of powers of 3 repeat every four steps giving 3, powers of 6 always end in 6, and powers of 7 repeat every four steps giving 3. Then 3 × 6 × 3 ends in 4.
Source: SSC CGL / State PSC exam pattern
- Q3MediumNumber System
A number leaves a remainder of 7 when divided by 15. What remainder does it leave when divided by 5?
- a7
- b3
- c1
- d2
Show the answer
Answer: d — 2
The number is 15k plus 7. Since 15k is a multiple of 5, only the 7 matters, and 7 divided by 5 leaves 2.
Source: SSC CHSL / RRB NTPC exam pattern
- Q4EasyNumber System
How many prime numbers lie between 1 and 30?
- a10
- b9
- c11
- d12
Show the answer
Answer: a — 10
They are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29, which makes ten in all. The number 1 is not prime.
Source: SSC CHSL / RRB Group D exam pattern
- Q5EasySimplification
Find the value of 25 × 25 - 24 × 24.
- a1
- b50
- c49
- d48
Show the answer
Answer: c — 49
This is the difference of two squares, which equals the sum times the difference: 49 multiplied by 1 is 49.
Source: SSC CHSL / RRB Group D exam pattern
- Q6MediumSimplification
Find the value of 12 + (18 / 3) × 2 - 5.
- a13
- b19
- c7
- d25
Show the answer
Answer: b — 19
The bracket is worked first, giving 6, then 6 times 2 is 12, so the expression is 12 plus 12 minus 5.
Source: SSC CHSL / RRB NTPC exam pattern
- Q7MediumSimplification
Find the value of (0.75 × 0.75 × 0.75 + 0.25 × 0.25 × 0.25) divided by (0.75 × 0.75 - 0.75 × 0.25 + 0.25 × 0.25).
- a0.5
- b2
- c1
- d0.25
Show the answer
Answer: c — 1
The expression has the form of a sum of cubes divided by the quadratic factor, which reduces to the sum of the two numbers, and 0.75 plus 0.25 is 1.
Source: SSC CGL / RRB NTPC exam pattern
- Q8EasyLCM and HCF
What is the LCM of 24, 36 and 60?
- a360
- b180
- c720
- d120
Show the answer
Answer: a — 360
Taking the highest power of each prime gives 8 times 9 times 5, which is 360.
Source: SSC CHSL / RRB Group D exam pattern
- Q9MediumLCM and HCF
What is the HCF of 108, 288 and 360?
- a36
- b18
- c72
- d12
Show the answer
Answer: a — 36
Taking the lowest power of each common prime gives 4 times 9, which is 36.
Source: SSC CHSL / RRB NTPC exam pattern
- Q10HardLCM and HCF
The product of two numbers is 2028 and their HCF is 13. How many different pairs of such numbers are possible?
- a1
- b3
- c2
- d6
Show the answer
Answer: c — 2
Writing the numbers as 13a and 13b gives ab equal to 12, and the coprime pairs are 1 with 12 and 3 with 4, so two pairs exist.
Source: SSC CGL / State PSC exam pattern
- Q11EasyPercentage
If 30 per cent of a number is 90, what is the number?
- a270
- b300
- c117
- d63
Show the answer
Answer: b — 300
If three tenths of the number is 90, one tenth is 30, so the whole number is 300.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q12MediumPercentage
The price of an article is first increased by 20 per cent and then decreased by 20 per cent. What is the net change?
- aA decrease of 4 per cent
- bNo change
- cA decrease of 2 per cent
- dAn increase of 4 per cent
Show the answer
Answer: a — A decrease of 4 per cent
Multiplying by 1.2 and then by 0.8 gives 0.96 of the original price, which is a fall of 4 per cent.
Source: SSC CGL / RRB NTPC exam pattern
- Q13MediumPercentage
A student scored 60 per cent of the total marks and got 30 marks more than the pass mark. If the pass mark is 45 per cent of the total, what is the total?
- a150
- b250
- c180
- d200
Show the answer
Answer: d — 200
The 30 marks represent the gap between 60 and 45 per cent, which is 15 per cent of the total, so the total is 30 divided by 0.15.
Source: SSC CGL / State PSC exam pattern
- Q14EasyPercentage
A number increased by 25 per cent becomes 350. What was the original number?
- a300
- b262.5
- c325
- d280
Show the answer
Answer: d — 280
The new value is 1.25 times the original, so dividing 350 by 1.25 gives 280.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q15EasyProfit and Loss
A shopkeeper buys an article for Rs 400 and sells it for Rs 460. What is his profit per cent?
- a12 per cent
- b15 per cent
- c20 per cent
- d13 per cent
Show the answer
Answer: b — 15 per cent
The profit is Rs 60 on a cost of Rs 400, and 60 divided by 400 is 15 per cent.
Source: SSC CHSL / RRB Group D exam pattern
- Q16MediumProfit and Loss
By selling an article for Rs 720 a man loses 10 per cent. At what price should he sell it to gain 10 per cent?
- aRs 800
- bRs 792
- cRs 900
- dRs 880
Show the answer
Answer: d — Rs 880
A 10 per cent loss means Rs 720 is nine tenths of the cost, so the cost is Rs 800, and a 10 per cent gain on that is Rs 880.
Source: SSC CGL / RRB NTPC exam pattern
- Q17EasyProfit and Loss
The marked price of an article is Rs 1200 and a discount of 15 per cent is allowed. What is the selling price?
- aRs 1080
- bRs 1050
- cRs 1020
- dRs 1000
Show the answer
Answer: c — Rs 1020
A discount of 15 per cent leaves 85 per cent of the marked price, and 85 per cent of Rs 1200 is Rs 1020.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q18MediumProfit and Loss
A man sells two articles at Rs 990 each. On one he gains 10 per cent and on the other he loses 10 per cent. What is his overall result?
- aNo profit and no loss
- bA gain of 1 per cent
- cA loss of 2 per cent
- dA loss of 1 per cent
Show the answer
Answer: d — A loss of 1 per cent
When two articles sell for the same price at equal gain and loss percentages, the result is always a loss equal to the square of that percentage divided by 100.
Source: SSC CGL / State PSC exam pattern
- Q19MediumProfit and Loss
If the cost price of 15 articles equals the selling price of 12 articles, what is the gain per cent?
- a25 per cent
- b20 per cent
- c15 per cent
- d30 per cent
Show the answer
Answer: a — 25 per cent
Twelve articles sell for what fifteen cost, so the gain on twelve is the cost of three, which is 3 divided by 12 or 25 per cent.
Source: SSC CGL / RRB NTPC exam pattern
- Q20EasySimple and Compound Interest
Find the simple interest on Rs 5000 at 8 per cent per annum for 3 years.
- aRs 1000
- bRs 1400
- cRs 1200
- dRs 800
Show the answer
Answer: c — Rs 1200
Simple interest is principal times rate times time divided by 100, which is 5000 times 8 times 3 divided by 100.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q21MediumSimple and Compound Interest
At what rate per cent per annum will Rs 2400 amount to Rs 3000 in 5 years at simple interest?
- a6 per cent
- b5 per cent
- c4 per cent
- d8 per cent
Show the answer
Answer: b — 5 per cent
The interest earned is Rs 600, and the rate is 100 times 600 divided by 2400 times 5.
Source: SSC CHSL / RRB NTPC exam pattern
- Q22MediumSimple and Compound Interest
What is the compound interest on Rs 8000 at 10 per cent per annum for 2 years?
- aRs 1600
- bRs 1680
- cRs 800
- dRs 2648
Show the answer
Answer: b — Rs 1680
The amount is 8000 times 1.1 twice, which is Rs 9680, and the interest is the amount less the principal.
Source: IBPS PO / SBI PO exam pattern
- Q23MediumSimple and Compound Interest
A sum of money doubles itself in 8 years at simple interest. In how many years will it become four times itself?
- a16 years
- b32 years
- c20 years
- d24 years
Show the answer
Answer: d — 24 years
Doubling means the interest equals the principal in 8 years, so becoming four times needs interest of three times the principal, taking three such periods.
Source: SSC CGL / State PSC exam pattern
- Q24MediumRatio and Proportion
If a is to b as 3 is to 4, and b is to c as 8 is to 9, then a is to c as:
- a2 is to 3
- b1 is to 2
- c3 is to 5
- d4 is to 9
Show the answer
Answer: a — 2 is to 3
Making b the same in both ratios gives a to b to c as 6 to 8 to 9, so a to c is 6 to 9, which reduces to 2 to 3.
Source: SSC CHSL / RRB NTPC exam pattern
- Q25EasyRatio and Proportion
Divide Rs 1350 between A and B in the ratio 4 to 5. What is B's share?
- aRs 750
- bRs 600
- cRs 700
- dRs 800
Show the answer
Answer: a — Rs 750
The total has nine parts, so one part is Rs 150 and B receives five of them.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q26MediumRatio and Proportion
The ratio of two numbers is 5 to 8 and their difference is 39. What is the smaller number?
- a39
- b65
- c104
- d45
Show the answer
Answer: b — 65
The difference is 3 parts, so one part is 13, and the smaller number is five parts.
Source: SSC CHSL / RRB Group D exam pattern
- Q27EasyPartnership
A and B invest Rs 5000 and Rs 7000 respectively for one year. Out of a profit of Rs 3600, what is A's share?
- aRs 1800
- bRs 2100
- cRs 1500
- dRs 1200
Show the answer
Answer: c — Rs 1500
The capitals are in the ratio 5 to 7, so A receives five twelfths of the profit.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q28MediumPartnership
A invests Rs 6000 for 8 months and B invests Rs 8000 for 9 months. Out of a profit of Rs 4800, what is B's share?
- aRs 1920
- bRs 2880
- cRs 2400
- dRs 3000
Show the answer
Answer: b — Rs 2880
Each partner's claim is capital times months, giving 48000 against 72000, a ratio of 2 to 3, so B takes three fifths.
Source: IBPS PO / SBI PO exam pattern
- Q29EasyAverage
What is the average of the first ten natural numbers?
- a5.5
- b5
- c6
- d6.5
Show the answer
Answer: a — 5.5
For consecutive numbers the average is the mean of the first and the last, which is 1 plus 10 divided by 2.
Source: SSC CHSL / RRB Group D exam pattern
- Q30EasyAverage
The average age of 5 boys is 12 years. A sixth boy aged 18 years joins them. What is the new average?
- a14 years
- b12.5 years
- c13 years
- d15 years
Show the answer
Answer: c — 13 years
The five boys total 60 years, adding 18 makes 78, and dividing by six gives 13.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q31MediumAverage
The average of 20 numbers is 15. If the number 34 is removed, what is the average of the remaining numbers?
- a15
- b13
- c14
- d16
Show the answer
Answer: c — 14
The twenty numbers total 300, removing 34 leaves 266, and dividing by the remaining 19 gives 14.
Source: SSC CGL / RRB NTPC exam pattern
- Q32MediumTime and Work
A can do a piece of work in 15 days and B can do it in 10 days. Working together, in how many days will they finish it?
- a5 days
- b12.5 days
- c25 days
- d6 days
Show the answer
Answer: d — 6 days
In one day they finish one fifteenth plus one tenth, which is one sixth of the work, so six days are needed.
Source: SSC CHSL / RRB NTPC exam pattern
- Q33MediumTime and Work
A can complete a work in 20 days. He works for 5 days and leaves, and B completes the rest in 15 days. In how many days can B alone do the whole work?
- a15 days
- b20 days
- c25 days
- d30 days
Show the answer
Answer: b — 20 days
A finishes a quarter of the work, so B does three quarters in 15 days, which means the whole work would take him 20 days.
Source: SSC CGL / State PSC exam pattern
- Q34EasyTime and Work
12 men can build a wall in 15 days. How many days will 20 men take to build the same wall?
- a9 days
- b10 days
- c12 days
- d8 days
Show the answer
Answer: a — 9 days
The work is 180 man-days, and dividing that among 20 men gives 9 days.
Source: SSC CHSL / RRB Group D exam pattern
- Q35EasyTime and Work
Two pipes can fill a tank in 20 minutes and 30 minutes respectively. If both are opened together, how long will the tank take to fill?
- a12 minutes
- b15 minutes
- c10 minutes
- d25 minutes
Show the answer
Answer: a — 12 minutes
In one minute they fill one twentieth plus one thirtieth, which is one twelfth of the tank.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q36EasyTime Speed and Distance
A car covers 240 km in 4 hours. What is its speed?
- a50 km per hour
- b70 km per hour
- c60 km per hour
- d80 km per hour
Show the answer
Answer: c — 60 km per hour
Speed is distance divided by time, which is 240 divided by 4.
Source: SSC CHSL / RRB Group D exam pattern
- Q37MediumTime Speed and Distance
A train 150 metres long crosses a pole in 15 seconds. What is its speed in km per hour?
- a36 km per hour
- b40 km per hour
- c30 km per hour
- d45 km per hour
Show the answer
Answer: a — 36 km per hour
The train covers its own length, so the speed is 10 metres per second, and multiplying by 18 divided by 5 converts it to 36 km per hour.
Source: SSC CHSL / RRB NTPC exam pattern
- Q38MediumTime Speed and Distance
A boat goes 20 km downstream in 2 hours and returns the same distance in 4 hours. What is the speed of the stream?
- a5 km per hour
- b2.5 km per hour
- c7.5 km per hour
- d2 km per hour
Show the answer
Answer: b — 2.5 km per hour
Downstream speed is 10 and upstream speed is 5, and the speed of the stream is half their difference.
Source: SSC CGL / RRB NTPC exam pattern
- Q39EasyTime Speed and Distance
A man walking at 5 km per hour covers a distance in 6 hours. How long will the same distance take at 6 km per hour?
- a4 hours
- b5.5 hours
- c6 hours
- d5 hours
Show the answer
Answer: d — 5 hours
The distance is 30 km, and dividing it by the new speed of 6 gives 5 hours.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q40EasyMensuration
What is the area of a rectangle 15 cm long and 8 cm wide?
- a46 square cm
- b23 square cm
- c120 square cm
- d240 square cm
Show the answer
Answer: c — 120 square cm
The area of a rectangle is its length times its breadth.
Source: SSC CHSL / RRB Group D exam pattern
- Q41EasyMensuration
The perimeter of a square is 48 cm. What is its area?
- a12 square cm
- b576 square cm
- c48 square cm
- d144 square cm
Show the answer
Answer: d — 144 square cm
A perimeter of 48 cm means each side is 12 cm, and the area is the side squared.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q42HardMensuration
The diagonal of a square is 12 cm. What is its area?
- a144 square cm
- b72 square cm
- c36 square cm
- d48 square cm
Show the answer
Answer: b — 72 square cm
For a square the area is half the square of the diagonal, which is 144 divided by 2.
Source: SSC CGL / State PSC exam pattern
- Q43MediumMensuration
What is the area of a circle of radius 14 cm, taking pi as 22 divided by 7?
- a88 square cm
- b308 square cm
- c154 square cm
- d616 square cm
Show the answer
Answer: d — 616 square cm
The area is pi times the radius squared, which is 22 divided by 7, times 196.
Source: SSC CHSL / RRB NTPC exam pattern
- Q44MediumAlgebra
If x plus the reciprocal of x equals 5, what is the value of x squared plus the reciprocal of x squared?
- a25
- b27
- c24
- d23
Show the answer
Answer: d — 23
Squaring both sides gives the required expression plus 2, so subtracting 2 from 25 gives 23.
Source: SSC CGL / RRB NTPC exam pattern
- Q45MediumAlgebra
If a plus b equals 10 and ab equals 21, what is the value of a squared plus b squared?
- a79
- b42
- c58
- d16
Show the answer
Answer: c — 58
The square of the sum is a squared plus b squared plus twice ab, so subtract 42 from 100.
Source: SSC CHSL / RRB NTPC exam pattern
- Q46EasyAlgebra
Solve for x: 3x - 7 = 2x + 5.
- a2
- b12
- c-12
- d6
Show the answer
Answer: b — 12
Moving 2x to the left and 7 to the right leaves x equal to 12.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q47EasyGeometry
Two angles of a triangle measure 55 degrees and 65 degrees. What is the third angle?
- a60 degrees
- b70 degrees
- c50 degrees
- d65 degrees
Show the answer
Answer: a — 60 degrees
The three angles of a triangle add up to 180 degrees, so the third is 180 less 120.
Source: SSC CHSL / RRB Group D exam pattern
- Q48HardGeometry
In triangle ABC the bisectors of angles B and C meet at O. If angle A is 70 degrees, what is angle BOC?
- a110 degrees
- b135 degrees
- c125 degrees
- d145 degrees
Show the answer
Answer: c — 125 degrees
The angle formed at the meeting point of two internal bisectors is 90 degrees plus half of the third angle.
Source: SSC CGL / State PSC exam pattern
- Q49HardTrigonometry
If 5 tan A equals 4, what is the value of (5 sin A - 3 cos A) divided by (5 sin A + 2 cos A)?
- a13/33
- b1/6
- c2/7
- d17/22
Show the answer
Answer: b — 1/6
Dividing every term by cos A turns the expression into 5 tan A less 3 over 5 tan A plus 2, which is 1 over 6.
Source: SSC CGL / State PSC exam pattern
- Q50MediumTrigonometry
If tan A equals 3 divided by 4, what is the value of sin A?
- a4/5
- b3/4
- c3/5
- d4/3
Show the answer
Answer: c — 3/5
A right triangle with opposite side 3 and adjacent side 4 has hypotenuse 5, so sin A is 3 over 5.
Source: SSC CHSL / RRB NTPC exam pattern
- Q51MediumNumber System
What is the largest three-digit number that is exactly divisible by 12?
- a996
- b999
- c984
- d990
Show the answer
Answer: a — 996
Dividing 999 by 12 gives 83 with a remainder, so the largest multiple below it is 83 times 12.
Source: SSC CHSL / RRB NTPC exam pattern
- Q52HardNumber System
What is the remainder when 2 raised to the power 31 is divided by 5?
- a2
- b4
- c1
- d3
Show the answer
Answer: d — 3
The remainders of powers of 2 divided by 5 repeat as 2, 4, 3, 1. Since 31 leaves 3 on division by four, the remainder is the third in the cycle.
Source: SSC CGL / State PSC exam pattern
- Q53EasyNumber System
What is the sum of the first 20 natural numbers?
- a200
- b220
- c190
- d210
Show the answer
Answer: d — 210
The sum of the first n natural numbers is n times n plus 1, divided by 2, which is 20 times 21 divided by 2.
Source: SSC CHSL / RRB Group D exam pattern
- Q54HardSimplification
Find the value of 0.6 × 0.6 × 0.6 + 0.4 × 0.4 × 0.4 + 3 × 0.6 × 0.4.
- a1
- b0.5
- c1.5
- d2
Show the answer
Answer: a — 1
Because the two numbers add to 1, the expression is the full expansion of their sum cubed, which is 1 cubed.
Source: SSC CGL / State PSC exam pattern
- Q55EasySimplification
Find the value of 3.5 × 3.5 + 2 × 3.5 × 1.5 + 1.5 × 1.5.
- a14.5
- b12.25
- c25
- d10.5
Show the answer
Answer: c — 25
The expression is the expansion of a sum squared, so it equals 3.5 plus 1.5, all squared.
Source: SSC CHSL / RRB Group D exam pattern
- Q56MediumSimplification
Find the value of three quarters of 96, divided by 8.
- a12
- b9
- c8
- d6
Show the answer
Answer: b — 9
Three quarters of 96 is 72, and dividing that by 8 gives 9.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q57MediumLCM and HCF
The HCF of two numbers is 12 and their LCM is 180. If one number is 36, what is the other?
- a48
- b72
- c60
- d45
Show the answer
Answer: c — 60
The product of two numbers equals the product of their HCF and LCM, so the other number is 12 times 180 divided by 36.
Source: SSC CHSL / RRB NTPC exam pattern
- Q58MediumLCM and HCF
Find the least number greater than 12 which leaves a remainder of 3 when divided by 6, 8 or 12.
- a27
- b24
- c51
- d30
Show the answer
Answer: a — 27
The least number divisible by all three is their LCM, which is 24, and adding the remainder gives 27.
Source: SSC CGL / RRB NTPC exam pattern
- Q59EasyPercentage
What per cent of 250 is 40?
- a16 per cent
- b20 per cent
- c12 per cent
- d25 per cent
Show the answer
Answer: a — 16 per cent
Dividing 40 by 250 gives 0.16, which is 16 per cent.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q60MediumPercentage
The population of a town rises by 10 per cent each year. If it is 8000 now, what will it be after 2 years?
- a9600
- b9800
- c9680
- d8800
Show the answer
Answer: c — 9680
Each year multiplies the population by 1.1, so after two years it is 8000 times 1.1 twice.
Source: IBPS PO / SBI PO exam pattern
- Q61MediumPercentage
If A's salary is 25 per cent more than B's, by what per cent is B's salary less than A's?
- a25 per cent
- b20 per cent
- c16 per cent
- d22 per cent
Show the answer
Answer: b — 20 per cent
Taking B as 100, A is 125, so B is 25 less than A out of 125, which is 20 per cent.
Source: SSC CGL / RRB NTPC exam pattern
- Q62MediumPercentage
In an election between two candidates, the winner took 55 per cent of the valid votes and won by 800 votes. How many valid votes were there?
- a8000
- b6000
- c10000
- d16000
Show the answer
Answer: a — 8000
The winner led by 55 less 45, which is 10 per cent of the votes, and that 10 per cent is 800.
Source: SSC CGL / State PSC exam pattern
- Q63EasyProfit and Loss
An article bought for Rs 250 is sold at a loss of 12 per cent. What is the selling price?
- aRs 238
- bRs 230
- cRs 225
- dRs 220
Show the answer
Answer: d — Rs 220
A loss of 12 per cent leaves 88 per cent of the cost, and 88 per cent of Rs 250 is Rs 220.
Source: SSC CHSL / RRB Group D exam pattern
- Q64MediumProfit and Loss
A trader marks his goods 40 per cent above cost and then allows a discount of 25 per cent. What is his gain per cent?
- a15 per cent
- b10 per cent
- c12 per cent
- d5 per cent
Show the answer
Answer: d — 5 per cent
Multiplying the cost by 1.4 and then by 0.75 gives 1.05 times the cost, which is a gain of 5 per cent.
Source: SSC CGL / RRB NTPC exam pattern
- Q65MediumProfit and Loss
A shopkeeper allows a discount of 10 per cent on the marked price and still gains 8 per cent. If the cost price is Rs 450, what is the marked price?
- aRs 500
- bRs 540
- cRs 486
- dRs 495
Show the answer
Answer: b — Rs 540
A gain of 8 per cent makes the selling price Rs 486, and that is 90 per cent of the marked price after the discount.
Source: SSC CHSL / RRB NTPC exam pattern
- Q66HardProfit and Loss
A man sells an article at a gain of 20 per cent. Had he bought it for 10 per cent less and sold it for Rs 21 less, he would have gained 25 per cent. What is the cost price?
- aRs 300
- bRs 250
- cRs 320
- dRs 280
Show the answer
Answer: d — Rs 280
The new cost is 0.9 of the old and the new selling price is 1.125 of the old cost, so the Rs 21 gap is 0.075 of the cost price.
Source: SSC CGL / State PSC exam pattern
- Q67EasySimple and Compound Interest
A sum of Rs 9000 earns simple interest at 4 per cent per annum. How much interest does it earn in 6 months?
- aRs 360
- bRs 90
- cRs 180
- dRs 240
Show the answer
Answer: c — Rs 180
Six months is half a year, so the interest is 9000 times 4 divided by 100, halved.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q68MediumSimple and Compound Interest
In what time will Rs 4000 amount to Rs 4800 at 5 per cent per annum simple interest?
- a5 years
- b3 years
- c6 years
- d4 years
Show the answer
Answer: d — 4 years
The interest is Rs 800 and each year earns Rs 200, so four years are needed.
Source: SSC CHSL / RRB NTPC exam pattern
- Q69HardSimple and Compound Interest
The difference between the compound interest and the simple interest on a sum for 2 years at 10 per cent per annum is Rs 50. What is the sum?
- aRs 5000
- bRs 4000
- cRs 5500
- dRs 6000
Show the answer
Answer: a — Rs 5000
Over two years the difference is the sum times the rate squared divided by ten thousand, so the sum is 50 divided by 0.01.
Source: IBPS PO / SBI PO exam pattern
- Q70MediumSimple and Compound Interest
What will Rs 12000 amount to in 2 years at 10 per cent per annum compounded annually?
- aRs 14400
- bRs 14600
- cRs 14520
- dRs 13200
Show the answer
Answer: c — Rs 14520
Each year multiplies the amount by 1.1, so the total is 12000 times 1.1 twice.
Source: IBPS PO / SBI PO exam pattern
- Q71EasyRatio and Proportion
If 3 is to 5 as 12 is to x, what is the value of x?
- a18
- b20
- c15
- d24
Show the answer
Answer: b — 20
In a proportion the product of the extremes equals the product of the means, so x is 5 times 12 divided by 3.
Source: SSC CHSL / RRB Group D exam pattern
- Q72EasyRatio and Proportion
The ratio of boys to girls in a school is 7 to 5. If there are 350 boys, how many girls are there?
- a200
- b250
- c300
- d270
Show the answer
Answer: b — 250
Seven parts stand for 350 boys, so one part is 50 and the five parts of girls come to 250.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q73MediumRatio and Proportion
Two numbers are in the ratio 3 to 4. If 8 is added to each, the ratio becomes 4 to 5. What is the smaller number?
- a18
- b32
- c12
- d24
Show the answer
Answer: d — 24
Writing the numbers as 3k and 4k and cross multiplying the new ratio gives k equal to 8, so the smaller number is 24.
Source: SSC CGL / RRB NTPC exam pattern
- Q74MediumPartnership
A, B and C invest Rs 6000, Rs 8000 and Rs 10000 respectively. Out of a profit of Rs 7200, what is C's share?
- aRs 3000
- bRs 2400
- cRs 3600
- dRs 2800
Show the answer
Answer: a — Rs 3000
The capitals are in the ratio 3 to 4 to 5, making twelve parts in all, and C takes five of them.
Source: IBPS PO / SBI PO exam pattern
- Q75MediumAverage
The average of five consecutive odd numbers is 15. What is the largest of them?
- a19
- b17
- c21
- d23
Show the answer
Answer: a — 19
For consecutive numbers the average is the middle one, so the five numbers run from 11 to 19.
Source: SSC CHSL / RRB NTPC exam pattern
- Q76MediumAverage
The average weight of 8 men is 60 kg. When a man weighing 55 kg is replaced by a new man, the average becomes 61 kg. What is the new man's weight?
- a65 kg
- b63 kg
- c62 kg
- d68 kg
Show the answer
Answer: b — 63 kg
The total rises by 8 kg because the average rises by 1 kg across eight men, so the new man weighs 8 kg more than the one he replaced.
Source: SSC CGL / RRB NTPC exam pattern
- Q77EasyAverage
The average of four numbers is 20. If one of them is 26, what is the average of the other three?
- a16
- b19
- c18
- d20
Show the answer
Answer: c — 18
The four numbers total 80, and removing 26 leaves 54 to be shared among three.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q78MediumTime and Work
A and B together can do a work in 12 days, and A alone can do it in 20 days. In how many days can B alone do it?
- a24 days
- b30 days
- c32 days
- d36 days
Show the answer
Answer: b — 30 days
B's daily share is one twelfth less one twentieth, which is one thirtieth of the work.
Source: SSC CHSL / RRB NTPC exam pattern
- Q79EasyTime and Work
15 women can complete a work in 8 days. How many women are needed to complete it in 5 days?
- a24
- b20
- c25
- d30
Show the answer
Answer: a — 24
The work is 120 woman-days, and dividing that by 5 days gives 24 women.
Source: SSC CHSL / RRB Group D exam pattern
- Q80MediumTime and Work
One pipe fills a tank in 15 hours while another empties it in 20 hours. If both are opened together, how long will the tank take to fill?
- a45 hours
- b30 hours
- c60 hours
- d35 hours
Show the answer
Answer: c — 60 hours
In one hour the net filling is one fifteenth less one twentieth, which is one sixtieth of the tank.
Source: SSC CGL / State PSC exam pattern
- Q81MediumTime and Work
A can do a work in 10 days and B in 15 days. If they work together for 4 days, what fraction of the work is left?
- a2/3
- b5/6
- c1/6
- d1/3
Show the answer
Answer: d — 1/3
Together they finish one sixth of the work each day, so four days complete two thirds and one third remains.
Source: SSC CGL / RRB NTPC exam pattern
- Q82EasyTime Speed and Distance
A man covers 90 km in 1 hour and 30 minutes. What is his speed?
- a45 km per hour
- b50 km per hour
- c75 km per hour
- d60 km per hour
Show the answer
Answer: d — 60 km per hour
One hour and thirty minutes is 1.5 hours, and 90 divided by 1.5 is 60.
Source: SSC CHSL / RRB Group D exam pattern
- Q83HardTime Speed and Distance
Two trains 120 m and 180 m long run in opposite directions at 40 km per hour and 50 km per hour. How long do they take to cross each other?
- a15 seconds
- b12 seconds
- c10 seconds
- d18 seconds
Show the answer
Answer: b — 12 seconds
In opposite directions the speeds add to 90 km per hour, which is 25 metres per second, and the trains must cover their combined length of 300 metres.
Source: SSC CGL / State PSC exam pattern
- Q84MediumTime Speed and Distance
A train running at 60 km per hour crosses a platform 200 m long in 30 seconds. What is the length of the train?
- a300 m
- b250 m
- c400 m
- d350 m
Show the answer
Answer: a — 300 m
At 60 km per hour the train covers 500 metres in 30 seconds, and subtracting the platform leaves the train's own length.
Source: SSC CGL / RRB NTPC exam pattern
- Q85EasyTime Speed and Distance
A cyclist rides at 12 km per hour for 2 hours and 30 minutes. What distance does he cover?
- a24 km
- b30 km
- c36 km
- d25 km
Show the answer
Answer: b — 30 km
Distance is speed times time, which is 12 multiplied by 2.5 hours.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q86EasyMensuration
What is the area of a triangle whose base is 12 cm and height 9 cm?
- a54 square cm
- b108 square cm
- c27 square cm
- d21 square cm
Show the answer
Answer: a — 54 square cm
The area of a triangle is half the base times the height.
Source: SSC CHSL / RRB Group D exam pattern
- Q87EasyMensuration
What is the circumference of a circle of radius 21 cm, taking pi as 22 divided by 7?
- a66 cm
- b154 cm
- c132 cm
- d1386 cm
Show the answer
Answer: c — 132 cm
The circumference is twice pi times the radius, which is 2 times 22 divided by 7, times 21.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q88MediumMensuration
What is the volume of a cylinder of radius 7 cm and height 10 cm, taking pi as 22 divided by 7?
- a440 cubic cm
- b1540 cubic cm
- c1450 cubic cm
- d770 cubic cm
Show the answer
Answer: b — 1540 cubic cm
The volume is pi times the radius squared times the height, which is 22 divided by 7, times 49, times 10.
Source: SSC CHSL / RRB NTPC exam pattern
- Q89EasyMensuration
What is the total surface area of a cube of edge 5 cm?
- a125 square cm
- b100 square cm
- c25 square cm
- d150 square cm
Show the answer
Answer: d — 150 square cm
A cube has six equal square faces, so the total surface area is six times the edge squared.
Source: SSC CHSL / RRB Group D exam pattern
- Q90MediumMensuration
The diagonals of a rhombus are 16 cm and 12 cm. What is its area?
- a192 square cm
- b48 square cm
- c96 square cm
- d112 square cm
Show the answer
Answer: c — 96 square cm
The area of a rhombus is half the product of its diagonals.
Source: SSC CGL / RRB NTPC exam pattern
- Q91EasyAlgebra
If x is 3 and y is 2, what is the value of x squared plus y squared minus xy?
- a5
- b9
- c19
- d7
Show the answer
Answer: d — 7
Substituting gives 9 plus 4 minus 6, which is 7.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q92MediumAlgebra
If a and b are both positive, a squared plus b squared equals 29 and ab equals 10, what is the value of a plus b?
- a9
- b7
- c5
- d3
Show the answer
Answer: b — 7
The square of the sum is a squared plus b squared plus twice ab, which is 49, so the sum is 7.
Source: SSC CHSL / RRB NTPC exam pattern
- Q93MediumAlgebra
What is the value of (x + y) squared minus (x - y) squared?
- a2xy
- btwo times x squared plus two times y squared
- cxy
- d4xy
Show the answer
Answer: d — 4xy
Expanding both squares leaves twice xy plus twice xy, because the x squared and y squared terms cancel.
Source: SSC CGL / RRB NTPC exam pattern
- Q94EasyGeometry
What is the sum of the interior angles of a pentagon?
- a360 degrees
- b720 degrees
- c450 degrees
- d540 degrees
Show the answer
Answer: d — 540 degrees
For a polygon of n sides the interior angles add up to n less 2, times 180 degrees.
Source: SSC CHSL / RRB Group D exam pattern
- Q95EasyGeometry
What is the angle subtended by a diameter at any point on the circle?
- a60 degrees
- b180 degrees
- c90 degrees
- d45 degrees
Show the answer
Answer: c — 90 degrees
The angle subtended at the circumference by a diameter is always a right angle.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q96MediumGeometry
Two parallel lines are cut by a transversal. If one angle measures 70 degrees, what is its co-interior angle?
- a70 degrees
- b110 degrees
- c20 degrees
- d90 degrees
Show the answer
Answer: b — 110 degrees
Co-interior angles on the same side of the transversal add up to 180 degrees.
Source: SSC CHSL / RRB NTPC exam pattern
- Q97EasyTrigonometry
What is the value of cos 0 degrees + sin 90 degrees + tan 45 degrees?
- a3
- b2
- c1
- d0
Show the answer
Answer: a — 3
Each of cos 0 degrees, sin 90 degrees and tan 45 degrees equals 1, so the three add up to 3.
Source: SSC CHSL / RRB Group D exam pattern
- Q98EasyTrigonometry
If sin A equals one half and A is an acute angle, what is the measure of angle A?
- a45 degrees
- b60 degrees
- c30 degrees
- d90 degrees
Show the answer
Answer: c — 30 degrees
The sine of 30 degrees is one half, which is one of the standard values.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q99MediumTrigonometry
What is the value of tan 60 degrees divided by tan 30 degrees?
- a1
- b3
- c2
- d9
Show the answer
Answer: b — 3
Tan 60 degrees is the square root of 3 and tan 30 degrees is its reciprocal, so the quotient is 3.
Source: SSC CGL / RRB NTPC exam pattern
- Q100EasyTrigonometry
What is the value of (sin 30 degrees × sin 30 degrees) + (cos 30 degrees × cos 30 degrees)?
- a0
- b2
- c1
- d0.5
Show the answer
Answer: c — 1
The squares of the sine and cosine of any angle always add up to 1.
Source: SSC CHSL / RRB NTPC exam pattern
- Q101MediumNumber System
What is the sum of the first ten odd numbers?
- a100
- b90
- c110
- d81
Show the answer
Answer: a — 100
The sum of the first n odd numbers is always n squared, so ten of them add up to 100.
Source: SSC CHSL / RRB NTPC exam pattern
- Q102MediumNumber System
If the number 517*324 is exactly divisible by 3, what is the smallest digit that can replace the star?
- a1
- b0
- c3
- d2
Show the answer
Answer: d — 2
The known digits add up to 22, and the next multiple of 3 above it is 24, so the missing digit is 2.
Source: SSC CGL / RRB NTPC exam pattern
- Q103HardNumber System
What is the least number that must be subtracted from 1000 to make it exactly divisible by 23?
- a12
- b9
- c23
- d11
Show the answer
Answer: d — 11
Dividing 1000 by 23 gives 43 with a remainder of 11, and taking that remainder away leaves an exact multiple.
Source: SSC CGL / State PSC exam pattern
- Q104MediumSimplification
What is the square root of 1764?
- a42
- b44
- c38
- d48
Show the answer
Answer: a — 42
Splitting 1764 into 4 times 441 gives 2 times 21, which is 42.
Source: SSC CHSL / RRB Group D exam pattern
- Q105MediumSimplification
Find the value of 98 × 102.
- a10004
- b9998
- c9996
- d9994
Show the answer
Answer: c — 9996
The two numbers are 100 less 2 and 100 plus 2, so the product is 10000 less 4.
Source: SSC CHSL / RRB NTPC exam pattern
- Q106EasySimplification
Find the value of 7 + 7 / 7 + 7 × 7 - 7.
- a56
- b50
- c49
- d43
Show the answer
Answer: b — 50
Division and multiplication come first, giving 1 and 49, so the expression is 7 plus 1 plus 49 minus 7.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q107HardLCM and HCF
The LCM of two numbers is 48 and the numbers are in the ratio 2 to 3. What is their sum?
- a32
- b48
- c40
- d56
Show the answer
Answer: c — 40
Writing the numbers as 2x and 3x makes their LCM 6x, so x is 8 and the numbers are 16 and 24.
Source: SSC CGL / State PSC exam pattern
- Q108EasyLCM and HCF
What is the HCF of 12, 18 and 24?
- a6
- b4
- c12
- d3
Show the answer
Answer: a — 6
The largest number that divides all three exactly is 6.
Source: SSC CHSL / RRB Group D exam pattern
- Q109HardPercentage
The price of sugar rises from Rs 40 to Rs 50 per kg. By what per cent must a family cut its consumption to keep its expenditure unchanged?
- a20 per cent
- b25 per cent
- c10 per cent
- d15 per cent
Show the answer
Answer: a — 20 per cent
Expenditure stays the same only if consumption falls in the same proportion as the price rose, which is 10 out of the new price of 50.
Source: SSC CGL / State PSC exam pattern
- Q110EasyPercentage
A student scored 450 marks out of 600. What is his percentage?
- a70 per cent
- b80 per cent
- c75 per cent
- d72 per cent
Show the answer
Answer: c — 75 per cent
Dividing 450 by 600 gives 0.75, which is 75 per cent.
Source: SSC CHSL / RRB Group D exam pattern
- Q111MediumPercentage
The value of a machine falls by 10 per cent each year. If it is worth Rs 20000 now, what will it be worth after 2 years?
- aRs 16000
- bRs 16200
- cRs 18000
- dRs 16800
Show the answer
Answer: b — Rs 16200
Each year multiplies the value by 0.9, so after two years it is 20000 times 0.81.
Source: IBPS PO / SBI PO exam pattern
- Q112EasyProfit and Loss
A fruit seller buys 100 oranges for Rs 500 and sells them at Rs 6 each. What is his profit per cent?
- a20 per cent
- b16 per cent
- c25 per cent
- d10 per cent
Show the answer
Answer: a — 20 per cent
The oranges sell for Rs 600 against a cost of Rs 500, so the profit of Rs 100 is a fifth of the cost.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q113EasyProfit and Loss
A book sold for Rs 270 brings a loss of 10 per cent. What was its cost price?
- aRs 297
- bRs 280
- cRs 320
- dRs 300
Show the answer
Answer: d — Rs 300
The selling price is 90 per cent of the cost, so the cost is 270 divided by 0.9.
Source: SSC CHSL / RRB Group D exam pattern
- Q114EasyProfit and Loss
A shopkeeper gains 25 per cent on an article costing Rs 480. What is the selling price?
- aRs 580
- bRs 620
- cRs 560
- dRs 600
Show the answer
Answer: d — Rs 600
A gain of 25 per cent makes the selling price 1.25 times the cost.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q115MediumProfit and Loss
By selling a table for Rs 1140 a man gains 14 per cent. What should he sell it for to gain 20 per cent?
- aRs 1250
- bRs 1200
- cRs 1368
- dRs 1180
Show the answer
Answer: b — Rs 1200
A gain of 14 per cent means the cost is 1140 divided by 1.14, which is Rs 1000, and a gain of 20 per cent on that is Rs 1200.
Source: SSC CGL / RRB NTPC exam pattern
- Q116HardProfit and Loss
A man buys two chairs for Rs 900 in all. He sells one at a profit of 20 per cent and the other at a loss of 10 per cent, and breaks even overall. What did the chair sold at a profit cost?
- aRs 450
- bRs 180
- cRs 600
- dRs 300
Show the answer
Answer: d — Rs 300
The gain on the one must cancel the loss on the other, so 20 per cent of its cost equals 10 per cent of the rest of the Rs 900.
Source: SSC CGL / State PSC exam pattern
- Q117MediumSimple and Compound Interest
A sum of Rs 3000 becomes Rs 3900 in 5 years at simple interest. What is the rate per cent per annum?
- a5 per cent
- b8 per cent
- c6 per cent
- d7 per cent
Show the answer
Answer: c — 6 per cent
The interest is Rs 900 over five years, so the rate is 100 times 900 divided by 3000 times 5.
Source: SSC CHSL / RRB NTPC exam pattern
- Q118MediumSimple and Compound Interest
What is the compound interest on Rs 5000 at 20 per cent per annum for 2 years?
- aRs 2000
- bRs 2400
- cRs 1200
- dRs 2200
Show the answer
Answer: d — Rs 2200
The amount is 5000 times 1.2 twice, which is Rs 7200, and the interest is the amount less the principal.
Source: IBPS PO / SBI PO exam pattern
- Q119MediumSimple and Compound Interest
At what rate of compound interest will Rs 1000 amount to Rs 1210 in 2 years?
- a10 per cent
- b12 per cent
- c21 per cent
- d5 per cent
Show the answer
Answer: a — 10 per cent
The amount is 1.21 times the principal in two years, and the square root of 1.21 is 1.1.
Source: IBPS PO / SBI PO exam pattern
- Q120MediumRatio and Proportion
If x is to y as 2 is to 3, what is the ratio of 3x plus 2y to 2x plus 3y?
- a13 is to 12
- b5 is to 6
- c12 is to 13
- d6 is to 5
Show the answer
Answer: c — 12 is to 13
Taking x as 2 and y as 3 gives 6 plus 6 against 4 plus 9, which is 12 to 13.
Source: SSC CGL / RRB NTPC exam pattern
- Q121EasyRatio and Proportion
Rs 2400 is divided among A, B and C in the ratio 3 to 4 to 5. What is C's share?
- aRs 800
- bRs 1000
- cRs 900
- dRs 1200
Show the answer
Answer: b — Rs 1000
The twelve parts make one part Rs 200, and C takes five of them.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q122MediumRatio and Proportion
What is the mean proportional between 9 and 25?
- a17
- b15
- c12
- d18
Show the answer
Answer: b — 15
The mean proportional between two numbers is the square root of their product, which is the square root of 225.
Source: SSC CHSL / RRB NTPC exam pattern
- Q123EasyPartnership
A and B start a business with Rs 15000 and Rs 25000. A profit of Rs 16000 is shared in proportion to their investments. What is B's share?
- aRs 6000
- bRs 9000
- cRs 8000
- dRs 10000
Show the answer
Answer: d — Rs 10000
The capitals are in the ratio 3 to 5, so B takes five of the eight parts.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q124MediumPartnership
A starts a business with Rs 20000. Four months later B joins with Rs 30000. At the end of the year a profit of Rs 25000 is shared. What is B's share?
- aRs 12500
- bRs 15000
- cRs 10000
- dRs 14000
Show the answer
Answer: a — Rs 12500
Each claim is capital times months, and both come to 240000, so the profit is halved.
Source: IBPS PO / SBI PO exam pattern
- Q125EasyAverage
What is the average of 11, 13, 15, 17 and 19?
- a15
- b14
- c16
- d13
Show the answer
Answer: a — 15
The five numbers total 75, and dividing by 5 gives 15.
Source: SSC CHSL / RRB Group D exam pattern
- Q126MediumAverage
The average marks of 30 students is 45. One student's marks were entered as 75 instead of 45. What is the correct average?
- a43
- b44
- c46
- d44.5
Show the answer
Answer: b — 44
The recorded total is 30 too high, so the true total is 1320, which gives an average of 44.
Source: SSC CGL / RRB NTPC exam pattern
- Q127EasyAverage
What is the average of the first five positive multiples of 7?
- a14
- b28
- c21
- d17.5
Show the answer
Answer: c — 21
The multiples are 7, 14, 21, 28 and 35, which total 105.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q128EasyTime and Work
A can do a piece of work in 6 days and B in 12 days. Working together, in how many days will they finish it?
- a9 days
- b4 days
- c3 days
- d8 days
Show the answer
Answer: b — 4 days
In one day they finish one sixth plus one twelfth, which is a quarter of the work.
Source: SSC CHSL / RRB Group D exam pattern
- Q129EasyTime and Work
If 8 men can do a work in 12 days, how many days will 6 men take?
- a16 days
- b15 days
- c18 days
- d14 days
Show the answer
Answer: a — 16 days
The work is 96 man-days, and dividing that among 6 men gives 16 days.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q130HardTime and Work
A is twice as good a workman as B, and together they finish a work in 12 days. How long will B alone take?
- a24 days
- b18 days
- c36 days
- d30 days
Show the answer
Answer: c — 36 days
If B does one unit a day then A does two, so together they do three units, and B alone needs three times as long.
Source: SSC CGL / State PSC exam pattern
- Q131MediumTime and Work
A tap fills a cistern in 8 hours while a leak can empty the full cistern in 24 hours. With both working, how long does the cistern take to fill?
- a16 hours
- b10 hours
- c12 hours
- d6 hours
Show the answer
Answer: c — 12 hours
In one hour the net gain is one eighth less one twenty-fourth, which is one twelfth of the cistern.
Source: SSC CHSL / RRB NTPC exam pattern
- Q132MediumTime Speed and Distance
A train covers a distance in 6 hours at 50 km per hour. At what speed must it run to cover the same distance in 5 hours?
- a55 km per hour
- b65 km per hour
- c70 km per hour
- d60 km per hour
Show the answer
Answer: d — 60 km per hour
The distance is 300 km, and dividing that by 5 hours gives 60 km per hour.
Source: SSC CHSL / RRB NTPC exam pattern
- Q133EasyTime Speed and Distance
A man rows downstream at 12 km per hour and upstream at 8 km per hour. What is his speed in still water?
- a2 km per hour
- b10 km per hour
- c20 km per hour
- d4 km per hour
Show the answer
Answer: b — 10 km per hour
Speed in still water is the average of the downstream and upstream speeds.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q134EasyTime Speed and Distance
Two men start from the same point and walk in opposite directions at 4 km per hour and 5 km per hour. How far apart are they after 3 hours?
- a27 km
- b24 km
- c3 km
- d15 km
Show the answer
Answer: a — 27 km
Walking apart, their speeds add to 9 km per hour, and in three hours that opens a gap of 27 km.
Source: SSC CHSL / RRB Group D exam pattern
- Q135MediumTime Speed and Distance
A train 200 m long running at 72 km per hour crosses a bridge in 15 seconds. What is the length of the bridge?
- a100 m
- b300 m
- c150 m
- d200 m
Show the answer
Answer: a — 100 m
At 72 km per hour the train covers 300 metres in 15 seconds, and subtracting its own length leaves the bridge.
Source: SSC CGL / RRB NTPC exam pattern
- Q136EasyMensuration
What is the perimeter of a rectangle 18 cm long and 12 cm wide?
- a216 cm
- b30 cm
- c60 cm
- d48 cm
Show the answer
Answer: c — 60 cm
The perimeter is twice the sum of the length and the breadth.
Source: SSC CHSL / RRB Group D exam pattern
- Q137EasyMensuration
What is the volume of a cuboid measuring 8 cm by 5 cm by 4 cm?
- a160 cubic cm
- b104 cubic cm
- c184 cubic cm
- d120 cubic cm
Show the answer
Answer: a — 160 cubic cm
The volume of a cuboid is length times breadth times height.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q138MediumMensuration
What is the curved surface area of a cone of radius 7 cm and slant height 10 cm, taking pi as 22 divided by 7?
- a440 square cm
- b220 square cm
- c154 square cm
- d308 square cm
Show the answer
Answer: b — 220 square cm
The curved surface area of a cone is pi times the radius times the slant height.
Source: SSC CHSL / RRB NTPC exam pattern
- Q139MediumMensuration
The parallel sides of a trapezium are 14 cm and 10 cm and the distance between them is 8 cm. What is its area?
- a192 square cm
- b112 square cm
- c48 square cm
- d96 square cm
Show the answer
Answer: d — 96 square cm
The area of a trapezium is half the sum of the parallel sides times the height.
Source: SSC CGL / RRB NTPC exam pattern
- Q140MediumMensuration
What is the total surface area of a hemisphere of radius 7 cm, taking pi as 22 divided by 7?
- a308 square cm
- b616 square cm
- c462 square cm
- d154 square cm
Show the answer
Answer: c — 462 square cm
A hemisphere has a curved surface of twice pi r squared and a flat circular face of pi r squared, making three pi r squared in all.
Source: SSC CGL / State PSC exam pattern
- Q141EasyAlgebra
If 2x plus 3y equals 12 and x equals 3, what is the value of y?
- a3
- b1
- c4
- d2
Show the answer
Answer: d — 2
Substituting x as 3 leaves 3y equal to 6.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q142EasyAlgebra
What are the factors of x squared minus 9?
- a(x - 3)(x - 3)
- b(x + 3)(x - 3)
- c(x + 3)(x + 3)
- d(x + 9)(x - 1)
Show the answer
Answer: b — (x + 3)(x - 3)
This is a difference of two squares, which factorises as the sum times the difference.
Source: SSC CHSL / RRB Group D exam pattern
- Q143MediumAlgebra
What are the roots of the equation x squared minus 5x plus 6 equals 0?
- a1 and 6
- b-2 and -3
- c5 and 6
- d2 and 3
Show the answer
Answer: d — 2 and 3
The equation factorises into x less 2 times x less 3, so the roots make each bracket zero.
Source: SSC CHSL / RRB NTPC exam pattern
- Q144MediumGeometry
What is the measure of each interior angle of a regular hexagon?
- a108 degrees
- b135 degrees
- c144 degrees
- d120 degrees
Show the answer
Answer: d — 120 degrees
The interior angles of a hexagon total 720 degrees, shared equally among six angles.
Source: SSC CHSL / RRB NTPC exam pattern
- Q145MediumGeometry
How many diagonals does a hexagon have?
- a6
- b12
- c9
- d15
Show the answer
Answer: c — 9
A polygon of n sides has n times n less 3, divided by 2 diagonals, which is 6 times 3 divided by 2.
Source: SSC CGL / RRB NTPC exam pattern
- Q146EasyGeometry
The vertex angle of an isosceles triangle is 40 degrees. What is each base angle?
- a60 degrees
- b70 degrees
- c80 degrees
- d50 degrees
Show the answer
Answer: b — 70 degrees
The two equal base angles share the remaining 140 degrees.
Source: SSC CHSL / RRB Group D exam pattern
- Q147MediumGeometry
The exterior angle of a regular polygon is 45 degrees. How many sides does it have?
- a8
- b6
- c9
- d10
Show the answer
Answer: a — 8
The exterior angles of any polygon total 360 degrees, so the number of sides is 360 divided by 45.
Source: SSC CGL / State PSC exam pattern
- Q148MediumTrigonometry
What is the value of sin 60 degrees × cos 30 degrees?
- a1/2
- b1/4
- c3/4
- d1
Show the answer
Answer: c — 3/4
Both sin 60 degrees and cos 30 degrees equal the square root of 3 over 2, so the product is 3 over 4.
Source: SSC CHSL / RRB NTPC exam pattern
- Q149MediumTrigonometry
If sin A equals cos B and both A and B are acute angles, what is the value of A + B?
- a180 degrees
- b90 degrees
- c45 degrees
- d60 degrees
Show the answer
Answer: b — 90 degrees
The sine of an angle equals the cosine of its complement, so the two angles must add up to 90 degrees.
Source: SSC CGL / RRB NTPC exam pattern
- Q150EasyTrigonometry
If tan A equals 1 and A is an acute angle, what is the measure of angle A?
- a30 degrees
- b60 degrees
- c45 degrees
- d90 degrees
Show the answer
Answer: c — 45 degrees
The tangent of 45 degrees is 1, because the opposite and adjacent sides are then equal.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q151EasyNumber System
What is the place value of 7 in the number 45723?
- a700
- b7
- c70
- d7000
Show the answer
Answer: a — 700
The digit 7 stands in the hundreds column, so its place value is 7 multiplied by 100.
Source: SSC CHSL / RRB Group D exam pattern
- Q152MediumNumber System
What is the smallest number that must be added to 2497 to make it exactly divisible by 5?
- a2
- b5
- c7
- d3
Show the answer
Answer: d — 3
Dividing 2497 by 5 leaves a remainder of 2, so adding 3 carries it up to 2500.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q153HardNumber System
How many numbers between 200 and 300 are divisible by 7?
- a13
- b15
- c12
- d14
Show the answer
Answer: d — 14
The multiples run from 203 to 294, which are the 29th to the 42nd multiples of 7, making fourteen in all.
Source: SSC CGL / State PSC exam pattern
- Q154EasyNumber System
The sum of two consecutive even numbers is 46. What is the larger number?
- a24
- b22
- c26
- d20
Show the answer
Answer: a — 24
The two numbers are 22 and 24, since consecutive even numbers differ by 2.
Source: SSC CHSL / RRB Group D exam pattern
- Q155MediumSimplification
Find the value of 0.9 × 0.9 - 0.1 × 0.1.
- a0.08
- b8
- c0.8
- d0.64
Show the answer
Answer: c — 0.8
This is a difference of two squares, equal to the sum times the difference, which is 1 times 0.8.
Source: SSC CHSL / RRB NTPC exam pattern
- Q156EasySimplification
Find the value of three fifths of 250, plus 40.
- a150
- b190
- c200
- d175
Show the answer
Answer: b — 190
Three fifths of 250 is 150, and adding 40 gives 190.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q157MediumSimplification
Find the value of 2 raised to the power 5, multiplied by 5 raised to the power 2.
- a400
- b1000
- c800
- d320
Show the answer
Answer: c — 800
Two to the fifth power is 32 and five squared is 25, and 32 times 25 is 800.
Source: SSC CGL / RRB NTPC exam pattern
- Q158EasyLCM and HCF
What is the LCM of 15 and 20?
- a60
- b300
- c30
- d5
Show the answer
Answer: a — 60
The smallest number that both 15 and 20 divide exactly is 60.
Source: SSC CHSL / RRB Group D exam pattern
- Q159MediumLCM and HCF
What is the least number that is exactly divisible by 15, 20 and 25?
- a300
- b150
- c600
- d200
Show the answer
Answer: a — 300
Taking the highest power of each prime gives 4 times 3 times 25, which is 300.
Source: SSC CHSL / RRB NTPC exam pattern
- Q160HardLCM and HCF
Three bells ring at intervals of 12, 15 and 18 minutes. If they ring together at 9 am, when will they next ring together?
- a11 am
- b1 pm
- c12 noon
- d10.30 am
Show the answer
Answer: c — 12 noon
They coincide after the LCM of the three intervals, which is 180 minutes, or three hours.
Source: SSC CGL / State PSC exam pattern
- Q161EasyPercentage
What is 15 per cent of 400?
- a50
- b60
- c45
- d65
Show the answer
Answer: b — 60
Fifteen per cent means fifteen hundredths, so multiplying 400 by 0.15 gives 60.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q162MediumPercentage
In a class 60 per cent of the students are boys and there are 18 girls. How many students are there in all?
- a45
- b30
- c48
- d40
Show the answer
Answer: a — 45
The girls make up the remaining 40 per cent, so 18 is two fifths of the class.
Source: SSC CHSL / RRB NTPC exam pattern
- Q163MediumPercentage
A number is increased by 10 per cent and the result is then increased by 20 per cent. What is the total increase?
- a30 per cent
- b28 per cent
- c35 per cent
- d32 per cent
Show the answer
Answer: d — 32 per cent
Multiplying by 1.1 and then by 1.2 gives 1.32 times the original, which is a rise of 32 per cent.
Source: SSC CGL / RRB NTPC exam pattern
- Q164EasyPercentage
In a class of 50 students, 40 per cent failed an examination. How many passed?
- a20
- b25
- c35
- d30
Show the answer
Answer: d — 30
If 40 per cent failed then 60 per cent passed, and 60 per cent of 50 is 30.
Source: SSC CHSL / RRB Group D exam pattern
- Q165EasyProfit and Loss
A watch bought for Rs 800 is sold for Rs 1000. What is the gain per cent?
- a20 per cent
- b25 per cent
- c30 per cent
- d15 per cent
Show the answer
Answer: b — 25 per cent
The gain is Rs 200 on a cost of Rs 800, which is a quarter of the cost.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q166HardProfit and Loss
A dealer sells a radio at a loss of 15 per cent. Had he sold it for Rs 120 more he would have gained 5 per cent. What is the cost price?
- aRs 500
- bRs 800
- cRs 750
- dRs 600
Show the answer
Answer: d — Rs 600
The Rs 120 covers the swing from a 15 per cent loss to a 5 per cent gain, which is 20 per cent of the cost.
Source: SSC CGL / State PSC exam pattern
- Q167MediumProfit and Loss
The marked price of a shirt is Rs 800. What is the price after successive discounts of 10 per cent and 5 per cent?
- aRs 680
- bRs 720
- cRs 684
- dRs 700
Show the answer
Answer: c — Rs 684
The first discount leaves Rs 720, and taking 5 per cent off that leaves Rs 684.
Source: IBPS PO / SBI PO exam pattern
- Q168EasyProfit and Loss
A man sold an article for Rs 720 at a profit of 20 per cent. What was the cost price?
- aRs 576
- bRs 620
- cRs 650
- dRs 600
Show the answer
Answer: d — Rs 600
The selling price is 1.2 times the cost, so the cost is 720 divided by 1.2.
Source: SSC CHSL / RRB Group D exam pattern
- Q169EasySimple and Compound Interest
What is the simple interest on Rs 2500 for 2 years at 6 per cent per annum?
- aRs 300
- bRs 250
- cRs 360
- dRs 150
Show the answer
Answer: a — Rs 300
Simple interest is principal times rate times time divided by 100.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q170MediumSimple and Compound Interest
In how many years will a sum treble itself at 10 per cent per annum simple interest?
- a30 years
- b15 years
- c20 years
- d25 years
Show the answer
Answer: c — 20 years
Trebling means the interest must equal twice the principal, and each year adds a tenth of it.
Source: SSC CGL / RRB NTPC exam pattern
- Q171HardSimple and Compound Interest
What is the compound interest on Rs 10000 for 1 year at 12 per cent per annum, compounded half yearly?
- aRs 1200
- bRs 1236
- cRs 1250
- dRs 1272
Show the answer
Answer: b — Rs 1236
Half yearly compounding means two periods at 6 per cent each, so the amount is 10000 times 1.06 twice.
Source: IBPS PO / SBI PO exam pattern
- Q172HardSimple and Compound Interest
A sum at simple interest amounts to Rs 6600 in 3 years and Rs 7200 in 5 years. What is the sum?
- aRs 6000
- bRs 5700
- cRs 5400
- dRs 6300
Show the answer
Answer: b — Rs 5700
Two extra years add Rs 600, so a year earns Rs 300, and taking three years of interest off Rs 6600 leaves the principal.
Source: SSC CGL / State PSC exam pattern
- Q173EasyRatio and Proportion
What is the ratio of 45 minutes to 2 hours in its simplest form?
- a45 is to 2
- b3 is to 4
- c1 is to 3
- d3 is to 8
Show the answer
Answer: d — 3 is to 8
Both quantities must be in the same unit first, so the ratio is 45 minutes to 120 minutes, which reduces to 3 to 8.
Source: SSC CHSL / RRB Group D exam pattern
- Q174MediumRatio and Proportion
The ages of A and B are in the ratio 4 to 5 and add up to 45 years. What is A's age?
- a20 years
- b25 years
- c18 years
- d22 years
Show the answer
Answer: a — 20 years
The nine parts make one part 5 years, and A has four of them.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q175MediumRatio and Proportion
If A is to B as 2 is to 3, and B is to C as 4 is to 5, what is A is to B is to C?
- a8 is to 12 is to 15
- b2 is to 3 is to 5
- c2 is to 4 is to 5
- d8 is to 12 is to 20
Show the answer
Answer: a — 8 is to 12 is to 15
Making B the same in both ratios turns 2 to 3 into 8 to 12, and 4 to 5 into 12 to 15.
Source: SSC CHSL / RRB NTPC exam pattern
- Q176EasyPartnership
A and B share a profit of Rs 5400 in the ratio 4 to 5. What is A's share?
- aRs 3000
- bRs 2400
- cRs 2700
- dRs 2160
Show the answer
Answer: b — Rs 2400
The nine parts make one part Rs 600, and A takes four of them.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q177EasyAverage
What is the average of 20, 25, 30 and 45?
- a25
- b35
- c30
- d28
Show the answer
Answer: c — 30
The four numbers total 120, and dividing by 4 gives 30. They are not evenly spaced, so the middle-value shortcut does not apply.
Source: SSC CHSL / RRB Group D exam pattern
- Q178MediumAverage
The average temperature for Monday, Tuesday and Wednesday was 40 degrees, and for Tuesday, Wednesday and Thursday 41 degrees. If Thursday was 42 degrees, what was Monday's temperature?
- a38 degrees
- b39 degrees
- c40 degrees
- d41 degrees
Show the answer
Answer: b — 39 degrees
The first three total 120 and the last three 123, and removing Thursday's 42 leaves Tuesday and Wednesday at 81.
Source: SSC CGL / State PSC exam pattern
- Q179MediumAverage
The average of 9 numbers is 30. If the first four average 25 and the last four average 32, what is the fifth number?
- a42
- b40
- c38
- d45
Show the answer
Answer: a — 42
The nine numbers total 270, and the two groups of four account for 100 and 128 between them.
Source: IBPS PO / SBI PO exam pattern
- Q180EasyTime and Work
A can do a work in 9 days and B in 18 days. Working together, how long will they take?
- a13.5 days
- b4.5 days
- c6 days
- d9 days
Show the answer
Answer: c — 6 days
In one day they finish one ninth plus one eighteenth, which is a sixth of the work.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q181MediumTime and Work
10 men can finish a work in 20 days. After 5 days, 5 more men join them. In how many more days is the work finished?
- a12 days
- b15 days
- c9 days
- d10 days
Show the answer
Answer: d — 10 days
The job is 200 man-days, of which 50 are done, and the remaining 150 are shared among 15 men.
Source: SSC CGL / RRB NTPC exam pattern
- Q182MediumTime and Work
A can do a job in 24 days, B in 30 days and C in 40 days. Working together, how long will they take?
- a12 days
- b8 days
- c15 days
- d10 days
Show the answer
Answer: d — 10 days
Their daily shares are one twenty-fourth, one thirtieth and one fortieth, which add to one tenth of the job.
Source: SSC CHSL / RRB NTPC exam pattern
- Q183MediumTime and Work
If 6 men earn Rs 1800 in 5 days, how much will 9 men earn in 4 days at the same rate?
- aRs 2400
- bRs 2160
- cRs 1920
- dRs 2700
Show the answer
Answer: b — Rs 2160
One man earns Rs 60 a day, so nine men working four days earn 36 man-days of wages.
Source: IBPS PO / SBI PO exam pattern
- Q184EasyTime Speed and Distance
How long does a train take to cover 240 km at a speed of 80 km per hour?
- a3 hours
- b4 hours
- c2.5 hours
- d3.5 hours
Show the answer
Answer: a — 3 hours
Time is distance divided by speed, which is 240 divided by 80.
Source: SSC CHSL / RRB Group D exam pattern
- Q185MediumTime Speed and Distance
A man covers half a journey at 30 km per hour and the other half at 60 km per hour. What is his average speed for the whole journey?
- a45 km per hour
- b40 km per hour
- c50 km per hour
- d35 km per hour
Show the answer
Answer: b — 40 km per hour
Equal distances at different speeds take unequal times, so the average is twice the product divided by the sum, not the plain mean.
Source: SSC CGL / State PSC exam pattern
- Q186MediumTime Speed and Distance
A train 180 m long passes a man standing on the platform in 12 seconds. What is its speed?
- a54 km per hour
- b60 km per hour
- c45 km per hour
- d50 km per hour
Show the answer
Answer: a — 54 km per hour
The train covers its own length in 12 seconds, giving 15 metres per second, which is 54 km per hour.
Source: SSC CHSL / RRB NTPC exam pattern
- Q187EasyTime Speed and Distance
A boat's speed in still water is 15 km per hour and the stream flows at 3 km per hour. How long does the boat take to go 36 km downstream?
- a3 hours
- b2.5 hours
- c2 hours
- d1.5 hours
Show the answer
Answer: c — 2 hours
Downstream the speeds add to 18 km per hour, and 36 divided by 18 is 2.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q188MediumMensuration
The area of a circle is 154 square cm. What is its radius, taking pi as 22 divided by 7?
- a14 cm
- b7 cm
- c10.5 cm
- d3.5 cm
Show the answer
Answer: b — 7 cm
Dividing 154 by 22 over 7 gives 49 for the radius squared.
Source: SSC CHSL / RRB NTPC exam pattern
- Q189MediumMensuration
The length of a rectangle is twice its breadth and its perimeter is 60 cm. What is its area?
- a150 square cm
- b180 square cm
- c225 square cm
- d200 square cm
Show the answer
Answer: d — 200 square cm
The perimeter is six times the breadth, so the breadth is 10 cm and the length 20 cm.
Source: SSC CGL / RRB NTPC exam pattern
- Q190EasyMensuration
The volume of a cube is 216 cubic cm. What is the length of its edge?
- a8 cm
- b12 cm
- c6 cm
- d36 cm
Show the answer
Answer: c — 6 cm
The edge is the cube root of the volume, and 6 cubed is 216.
Source: SSC CHSL / RRB Group D exam pattern
- Q191MediumMensuration
What is the perimeter of a semicircle of radius 7 cm, counting the curved edge together with the diameter, taking pi as 22 divided by 7?
- a22 cm
- b44 cm
- c29 cm
- d36 cm
Show the answer
Answer: d — 36 cm
The perimeter is the curved half, which is pi times the radius, plus the diameter across the flat side.
Source: SSC CGL / State PSC exam pattern
- Q192MediumAlgebra
If a is 2 and b is 3, what is the value of a cubed plus b cubed?
- a30
- b35
- c125
- d17
Show the answer
Answer: b — 35
Two cubed is 8 and three cubed is 27, and their sum is 35.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q193EasyAlgebra
Solve for x: 2(x - 3) = 10.
- a5
- b2
- c6.5
- d8
Show the answer
Answer: d — 8
Dividing both sides by 2 leaves x less 3 equal to 5.
Source: SSC CHSL / RRB Group D exam pattern
- Q194MediumAlgebra
If x plus y equals 7 and x minus y equals 3, what is the value of x?
- a4
- b2
- c3.5
- d5
Show the answer
Answer: d — 5
Adding the two equations removes y and leaves twice x equal to 10.
Source: SSC CHSL / RRB NTPC exam pattern
- Q195MediumGeometry
The angles of a triangle are in the ratio 1 to 2 to 3. What is the largest angle?
- a60 degrees
- b120 degrees
- c90 degrees
- d100 degrees
Show the answer
Answer: c — 90 degrees
The six parts share 180 degrees, so one part is 30 degrees and the largest angle is three of them.
Source: SSC CGL / RRB NTPC exam pattern
- Q196MediumGeometry
Two complementary angles differ by 20 degrees. What is the smaller angle?
- a45 degrees
- b35 degrees
- c30 degrees
- d40 degrees
Show the answer
Answer: b — 35 degrees
Complementary angles add to 90 degrees, so the smaller one is 90 less 20, halved.
Source: SSC CHSL / RRB NTPC exam pattern
- Q197EasyGeometry
What is the sum of the exterior angles, one at each vertex, of any convex polygon?
- a360 degrees
- b180 degrees
- c540 degrees
- d720 degrees
Show the answer
Answer: a — 360 degrees
The exterior angles of any polygon always add up to 360 degrees, whatever the number of sides.
Source: SSC CHSL / RRB Group D exam pattern
- Q198EasyTrigonometry
What is the value of 2 × sin 30 degrees × cos 60 degrees?
- a0.25
- b1
- c0.5
- d2
Show the answer
Answer: c — 0.5
Both sin 30 degrees and cos 60 degrees equal one half, so the product is a quarter, and twice that is one half.
Source: IBPS Clerk / SBI Clerk exam pattern
- Q199MediumTrigonometry
If A is an acute angle and sin A equals 5 divided by 13, what is the value of cos A?
- a13/12
- b12/13
- c5/12
- d12/5
Show the answer
Answer: b — 12/13
A right triangle with opposite side 5 and hypotenuse 13 has an adjacent side of 12.
Source: SSC CGL / RRB NTPC exam pattern
- Q200EasyTrigonometry
What is the value of cos 60 degrees?
- a1
- b0
- c1/2
- d2
Show the answer
Answer: c — 1/2
Cos 60 degrees is one of the standard values and equals one half.
Source: SSC CHSL / RRB Group D exam pattern
Answers are compiled by hand and may contain mistakes. Where a question came from a real paper, the official key governs.