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CAT Quant Practice Test 2

CAT Quant • Medium • 22 Questions
Progress 0 / 22
40:00

You should spend about 40 minutes on this section. A mix of multiple-choice and TITA (type-in-the-answer) questions, each carrying 3 marks. Each incorrect MCQ carries a penalty of 1 mark; there is no negative marking for TITA questions.

Quantitative Ability Questions Questions 1-22
1

In an election between two candidates, the winner received 56% of the valid votes cast and won by a margin of 4,800 votes. What was the total number of valid votes cast?

2

A trader buys 80 kg of rice at ₹40 per kg. He sells 50 kg of it at a profit of 20% and the remaining 30 kg at a profit of 10%. What is his total profit, in rupees?

3

P, Q and R start a business with investments in the ratio 3:5:7. P invests for the full 12 months, Q invests for 8 months, and R invests for 6 months. If the total profit at the end of the year is ₹59,000, what is R's share of the profit?

4

A boat travels 45 km downstream in 3 hours and covers the same distance upstream in 5 hours. What is the speed of the boat in still water?

5

Pipe A can fill a tank in 20 hours, and Pipe B can fill it in 30 hours. Pipe C, an outlet pipe, can empty the full tank in 15 hours. If all three pipes are opened together on an empty tank, how many hours will it take to fill the tank?

6

If x/4 + y/3 = 11 and x/2 − y/3 = 4, what is the value of x + y?

7

A function g satisfies g(x) = 3g(x − 1) − 2 for all integers x, and g(1) = 4. What is the value of g(4)?

8

x is a positive rational number satisfying x + 1/x = 13/6, and x > 1. Find the value of 6x.

9

In triangle ABC, angle A = 50° and angle B = 70°. The bisector of angle C meets AB at point D. What is the measure of angle ADC?

10

A cube has a total surface area of 216 cm². What is the volume of the cube?

11

What is the smallest 4-digit number that is divisible by both 12 and 18?

12

How many factors of 3,600 are perfect squares?

13

How many distinct arrangements can be made using all the letters of the word 'LEVEL'?

14

Two fair dice are rolled together. What is the probability that the sum of the numbers obtained is either 7 or 11?

15

The first term of a geometric progression is 5 and the common ratio is 3. Find the sum of the first 6 terms.

16

The average marks of 25 students in a class is 62. It is later discovered that the marks of one student who actually scored 42 were wrongly recorded as 92. What is the correct average marks of the class?

17

How many integer values of x satisfy the inequality −3 ≤ 2x − 5 < 9?

18

Find the area, in square units, of the triangle formed by the points (1, 1), (4, 5), and (7, 1).

19

A sum of ₹25,000 is lent at simple interest for 4 years at a certain rate of interest, and it amounts to ₹32,000. What is the rate of interest per annum?

20

When a certain number N is divided by 39, the remainder is 17. What is the remainder when N is divided by 13?

21

A metal sphere of radius 6 cm is melted and recast into a cone of height 6 cm, with no loss of material. What is the radius of the base of the cone?

22

The cost of 3 pens and 2 notebooks is ₹78. The cost of 5 pens and 4 notebooks is ₹142. Find the cost of one notebook, in rupees.

What is in this test

  • Quantitative Ability, questions 1-22

22 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.

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