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CAT Quant Practice Test 7

CAT Quant • Medium • 20 Questions
Progress 0 / 20
40:00

You should spend about 40 minutes on this section. Questions 1 to 10 are multiple choice. Questions 11 to 20 are TITA (type-in-the-answer) questions, where you type the numerical answer.

Quantitative Ability Questions Questions 1-20
1

A sum of money doubles itself in 8 years at simple interest. In how many years will it become four times itself?

2

The sum of two numbers is 45 and their difference is 15. What is their product?

3

The average of 10 numbers is 24. Each number is multiplied by 3 and then increased by 2. What is the new average?

4

12 men can complete a job in 20 days. After 5 days, 6 more men join. In how many days in total is the job finished?

5

The sides of a triangle are 9 cm, 12 cm and 15 cm. What is the radius of its circumcircle?

6

What is the smallest number that must be added to 1000 so that the sum is divisible by 7?

7

One card is drawn from a pack of 52. What is the probability that it is a king or a heart?

8

A town of 20,000 people grows by 10% in the first year and then declines by 10% in the second year. What is the population after two years?

9

If log₂x + log₂(x − 1) = 1, what is the value of x?

10

32 litres of a mixture contain milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?

11

How many three-digit numbers have a digit sum of 5?

12

What is the largest three-digit multiple of 13?

13

What is the sum of the first 20 positive even numbers?

14

How many diagonals does a polygon with 12 sides have?

15

What is the remainder when 5¹⁰⁰ is divided by 6?

16

A and B together can complete a job in 12 days, and A alone can complete it in 20 days. In how many days can B alone complete it?

17

What is the area, in sq cm, of a triangle with base 14 cm and height 9 cm?

18

What amount, in rupees, will ₹16,000 become in 2 years at 12.5% per annum compound interest, compounded annually?

19

Two runners start from the same point of a 400 m circular track and run in opposite directions at 5 m/s and 3 m/s. After how many seconds do they meet for the first time?

20

The roots of x² − 9x + 14 = 0 are α and β. What is the value of α² + β²?

What is in this test

  • Quantitative Ability, questions 1-20

20 questions in 40 minutes, marked +3 for a correct answer and -1 for a wrong multiple choice answer, with no penalty on type in the answer questions. When you finish you get your marks, a section breakdown and a written explanation for every question. Learn the method first on the topic practice pages and keep the formula sheet handy while you review.