Numerical Ability Questions and Answers

Numerical Ability is an important requisite for clearing any exams. The purpose is to include this in almost all competitive exams (In Government Job Exams in Prelims & Any Entrance Exams) to evaluate the analytical skills of the candidate (or) it tests the Numerical Ability ( number handling techniques and problem-solving skills ) of a candidate applied for.

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Numerical Ability – Detailed Syllabus

Number System

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Addition and Subtraction

Multiplication and Division

Square Roots and Cube Roots

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VBODMAS and Approximation

Quadratic Equation

Ratio and Proportion




Profit & Loss


Simple Interest and Compound Interest (SI & CI)

Mixture and Alligation

Time and Work

Pipes and Cistern

Time, Speed and Distance


Boats & Stream


Permutation and Combination


Daily Practice Questions for Numerical Ability

The level of Numerical Aptitude in competitive exams is becoming very difficult, so the student is taking a lot of time to solve these questions. So, here we are providing important numerical ability questions for you, through which practice you can check your level.

Important Numerical Ability Questions

Q.1. In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay’s speed is:

(A) 5 kmph

(B) 6 kmph

(C) 6.25 kmph

(D) 7.5 kmph

Ans.   A

Q.2. Tea worth of Rs. 135/kg & Rs. 126/kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be____?

(A) Rs. 169.50

(B) Rs.1700

(C) Rs. 175.50

(D) Rs. 180

Ans.   C

Q.3. Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?

(A) 8 kmph

(B) 11 kmph

(C) 12 kmph

(D) 14 kmph

Ans.   C

Q.4. 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine the cask hold originally?

(A) 18 litres

(B) 24 litres

(C) 32 litres

(D) 42 litres

Ans.   B

Q.5. How many seconds will a 500-metre-long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

(A) 25

(B) 30

(C) 40

(D) 45

Ans.   B

Q.6. A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

(A) 10

(B) 20

(C) 21

(D) 25

Ans.   C

Q.7. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

(A) 0

(B) -1

(C) 1

(D) none of these

Ans.   A

Q.8. Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.

(A) 12 sec

(B) 24 sec

(C) 48 sec

(D) 60 sec

Ans.   B

Q.9. If log 64 = 1.8061, then the value of log 16 will be ( approx )?

(A) 1.9048

(B) 1.2040

(C) 0.9840

(D) 1.4521

Ans.   B

Q.10. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

(A) 12 days

(B) 15 days

(C) 16 days

(D) 18 days

Ans.   B

Q.11. A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:

(A) 5.15 kmph

(B) 4.14 kmph

(C) 4.25 kmph

(D) 4.4 kmph

Ans.   B

Q.12. A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

(A) 20 days

(B)  45/2

(C) 25 days

(D) 30 days

Ans.   B

Q.13. In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C is

(A) 8 points

(B) 10 points

(C) 14 points

(D) 40 points

Ans.   B

Q.14. There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?

(A) Rs. 2160

(B) Rs. 3120

(C) Rs. 3972

(D) Rs. 6240

Ans.   C

Q.15. In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

(A) 22.75 m

(B) 25 m

(C) 19.5 m

(D) 18.5 m

Ans.   B

Q.16. Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:

(A) Rs. 1550

(B) Rs. 1650

(C) Rs. 1750

(D) Rs. 2000

Ans.   C

Q.17. A man sitting in a train which is traveling at 50 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.?

(A) 60

(B) 62

(C) 64

(D) 65

Ans.   B

Q.18. If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?

(A) Rs. 51.25

(B) Rs. 52

(C) Rs. 54.25

(D) Rs. 60

Ans.   A

Q.19. Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is

(A) 42

(B) 36

(C) 28

(D) 20

Ans.   B

Q.20. A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:

(A) 5%

(B) 8%

(C) 12%

(D) 15%

Ans.   C

Q.21. A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

(A) 30

(B) 40

(C) 50

(D) 60

Ans.   A

Q.22. What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

(A) 1 : 3

(B) 1 : 4

(C) 2 : 3

(D) Data inadequate

(E) None of these

Ans.   C

Q.23. The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is

(A) 49

(B) 154

(C) 378

(D) 1078

Ans.   A

Q.24. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

(A) 30%

(B) 70%

(C) 100%

(D) 250%

Ans.   B

Q.25. A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

(A) 1

(B) 2

(C) 3

(D) 4

Ans.   C

Q.26. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

(A) 3

(B) 4

(C) 5

(D) 6

Ans.   C

Q.27. A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and the other digits are correct, then the correct answer would be:

(A) 553681

(B) 555181

(C) 555681

(D) 556581

Ans.   C

Q.28. A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than (C) Out of a total profit of Rs. 35,000, A receives:

(A) Rs. 8400

(B) Rs. 11,900

(C) Rs. 13,600

(D) Rs. 14,700

Ans.   D

Q.29. On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:

(A) 13

(B) 12

(C) 11

(D) 10

Ans.   D

Q.30. A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the capital?

(A) Rs. 7500

(B) Rs. 8000

(C) Rs. 8500

(D) Rs. 9000

Ans.   D

Q.31. The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is : 

(A) 45 kg

(B) 46 kg

(C) 47 kg

(D) 48 kg

Ans.   A

Q.32. A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

(A) Rs. 45

(B) Rs. 50

(C) Rs. 55

(D) Rs. 60

Ans.   A

Q.33. The average of 7 consecutive numbers is 20. The largest of these numbers is :

(A) 21

(B) 22

(C) 23

(D) 24

Ans.   C

Q.34. A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B’s share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

(A) Rs. 7500

(B) Rs. 9000

(C) Rs. 9500

(D) Rs. 10,000

Ans.   A

Q.35. What is the probability of getting a sum 9 from two throws of a dice?

(A)  1/6

(B)  1/8

(C)  1/9

(D)  1/12

Ans.   C

Q.36. is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :

(A) 24

(B) 34

(C) 44

(D) 54

Ans.   B

Q.37. Three unbiased coins are tossed. What is the probability of getting at most two heads?

(A) 3/4

(B) 1/4

(C) 3/8

(D) 7/8

Ans.   D

Q.38. The denominator of a fraction is 3 more than the numerator. If the numerator as well as the denominator is increased by 4, the fraction becomes 4/5. What was the original fraction?

(A) 7/11

(B) 8/11

(C) 9/11

(D) 10/11

Ans.   B

Q.39. Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

(A)  1/2

(B)  3/4

(C)  3/8

(D)  5/16

Ans.   B

Q.40. Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is :

(A) 12

(B) 137

(C) 14

(D) 15

Ans.   D

Q 41. What is the total number of students during PG in Physics and Statistics together?

(A) 400

(B) 300

(C) 350

(D) 250

(E) None of these

Ans.   C

Q 42. What is the respective ratio between the boys doing PG in Mathematics and the number of girls doing PG in Botany?

(A) 3:4

(B) 6:1

(C) 5:6

(D) 2:3

(E) None of these

Ans.   C

Q 43. What is the difference between the boys doing PG in Zoology and the number of girls doing PG in Mathematics?

(A) 50

(B) 60

(C) 30

(D) 40

(E) None of these

Ans.   A

Q 44. In which PG course the number of girls is the highest and in which course the number of boys is the lowest (respectively)?

(A) Botany and Mathematics

(B) Mathematics and Physics

(C) Botany and Zoology

(D) Botany and Physics

(E) Statistics and Physics

Ans.   E

Q 45. The number of girls doing PG in Statistics is what percent of the number of boys doing PG in Physics?

(A) 250

(B) 280

(C) 310

(D) 220

(E) 200

Ans.   E

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