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Numerical Ability Questions & Answers with PDF

Numerical Ability forms the quantitative foundation of most competitive examinations, testing candidates' mathematical reasoning and problem-solving capabilities. This crucial section appears in virtually every major competitive exam including SSC CGL,...
1.

Find the next term in the series: 3, 8, 18, 35, 62, ?

2.

A shopkeeper allows a discount of 15% on the marked price of an article and still makes a profit of 19%. If the cost price of the article is ₹850, what is the marked price?

3.

In what ratio must water be mixed with milk costing ₹12 per liter to get a mixture worth ₹8 per liter?

4.

A sum of ₹8,000 is invested at 15% compound interest per annum. What will be the compound interest after 2 years?

5.

15 men can complete a work in 20 days. After working for 8 days, 5 more men joined them. In how many more days will the work be completed?

6.

The average age of 12 students is 18 years. If the teacher's age is included, the average becomes 19 years. What is the teacher's age?

7.

Study the following table and answer the question:

YearProduction (in tons)Export (in tons)
201812080
201915090
2020180110
2021200130

What is the percentage increase in domestic consumption from 2018 to 2021?

8.

A train travels from station A to station B at a speed of 60 km/h and returns from B to A at a speed of 90 km/h. If the total journey time is 5 hours, what is the distance between A and B?

9.

If (x² - 5x + 6) = 0, what are the possible values of (x² + 6x - 7)?

10.

A cistern can be filled by two pipes A and B in 12 hours and 18 hours respectively. If both pipes are opened together, but pipe B is closed after 6 hours, in what total time will the cistern be filled?

11.

A, B, and C enter into partnership. A invests ₹12,000 for 8 months, B invests ₹16,000 for 6 months, and C invests ₹20,000 for 4 months. If the total profit is ₹6,840, what is A's share?

12.

The probability of selecting a red ball from a bag containing 5 red, 4 blue, and 6 green balls is:

13.

A rectangular field has a length of 120m and width of 80m. A path of uniform width runs around the inside of the field. If the path has an area of 1,056 m², what is the width of the path?

14.

If log₁₀ 2 = 0.3010 and log₁₀ 3 = 0.4771, find the value of log₁₀ 72.

15.

In how many ways can the letters of the word 'MATHEMATICS' be arranged so that all vowels come together?

16.

What day of the week was January 1, 2000?

17.

At what time between 4 and 5 o'clock will the hands of a clock be at right angles?

18.

Two trains of lengths 100m and 150m are running in opposite directions at speeds of 45 km/h and 55 km/h respectively. In how much time will they completely cross each other?

19.

A boat takes 2 hours to travel 20 km downstream and 4 hours to travel the same distance upstream. What is the speed of the current?

20.

A man bought 100 shares of ₹50 each at a premium of 20%. If he receives a dividend of 8% on the face value, what is his percentage return on investment?

21.

Simplify: ∛(64) + ∛(125) + ∜(81) + ∜(256) + √(100) - √(9)

22.

A factory produces widgets at a rate that increases by 10% each month. If it produces 1000 widgets in the first month, how many widgets will it produce in the 4th month?

23.

The sum of three consecutive odd numbers is 147. What is the largest of these numbers?

24.

A mixture contains alcohol and water in the ratio 3:2. If 10 liters of water is added to 50 liters of this mixture, what will be the new ratio of alcohol to water?