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CAT Quant Practice Test 8

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

Two successive discounts of 15% and 20% are equal to a single discount of:

2

A car covers a distance at 90 km/h and returns over the same distance at 60 km/h. What is its average speed for the round trip?

3

What is the HCF of 108, 144 and 180?

4

A point is 13 cm from the centre of a circle of radius 5 cm. What is the length of the tangent drawn from the point to the circle?

5

What is the sum of the interior angles of an octagon?

6

How many arrangements of the letters of the word STUDY begin with S?

7

What is the volume of a cylinder of radius 7 cm and height 10 cm? (Use π = 22/7.)

8

What is the product of the roots of 3x² − 12x + 8 = 0?

9

Rice at ₹30 per kg and rice at ₹50 per kg are mixed in the ratio 3 : 2. What is the average price per kg of the mixture?

10

A bag has 5 red and 3 green balls. Two are drawn at random without replacement. What is the probability that both are the same colour?

11

How many positive factors does 1008 have?

12

How many integers from 100 to 300, both inclusive, are divisible by 7?

13

What is the sum of the first 10 terms of the series 1 + 2 + 4 + 8 + …?

14

A rectangle has perimeter 46 cm and area 120 sq cm. What is the length of its diagonal, in cm?

15

If x² + y² = 65 and xy = 28, what is the value of (x + y)²?

16

A boat covers a distance upstream at 3 km/h and the same distance downstream at 6 km/h. What is its average speed, in km/h, for the whole journey?

17

In how many ways can 4 boys and 3 girls stand in a row if all the girls must stand together?

18

What is the sum of the digits of the number 10¹⁵ − 1?

19

A's income is 25% less than B's income. B's income is what percentage more than A's, to the nearest whole number? (Type in the number, without the % sign.)

20

The area of an equilateral triangle of side 8 cm is A sq cm. What is the value of A²?

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.