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CAT Quant Practice Test 4

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

What is the simple interest on ₹8,000 for 3 years at 12.5% per annum?

2

A 40-litre mixture contains milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio of milk to water 3 : 2?

3

Car A travels at 60 km/h and car B, 30 km ahead, travels in the same direction at 45 km/h. In how many hours does A catch up with B?

4

A's salary is 25% more than B's salary. B's salary is what percentage less than A's salary?

5

If a + b = 7 and ab = 10, what is the value of a² + b²?

6

How many three-digit numbers are divisible by 7?

7

A circle is inscribed in a square of side 14 cm. What is the area of the circle? (Use π = 22/7.)

8

The angles of a triangle are in the ratio 2 : 3 : 4. What is the largest angle?

9

A bag holds 4 red and 6 blue balls. Two balls are drawn one after the other without replacement. What is the probability that both are red?

10

What is the value of log₁₀ 8 + log₁₀ 125?

11

How many zeros are there at the end of 50!?

12

What is the sum of all positive integers from 1 to 100 that are divisible by 4 or by 6 (or both)?

13

What is the smallest four-digit number that is divisible by 12, 15 and 20?

14

What is the average of the first 15 positive even numbers?

15

Tap A can fill a tank in 6 hours and tap B can empty it in 9 hours. If both taps are open, in how many hours will the empty tank be full?

16

What is the compound interest, in rupees, earned on ₹5,000 in 2 years at 10% per annum compounded annually?

17

Two numbers are in the ratio 3 : 5 and their LCM is 300. What is the sum of the two numbers?

18

In how many ways can a team of 2 boys and 2 girls be chosen from 5 boys and 4 girls?

19

What is the sum of the interior angles, in degrees, of a polygon with 12 sides?

20

If 2^(x+1) + 2^x = 96, what is the value of x?

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.