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CAT Quant Practice Test 5

CAT Quant • Medium • 16 Questions
Progress 0 / 16
30:00

You should spend about 30 minutes on this section. Questions 1 to 8 are multiple choice. Questions 9 to 16 are TITA (type-in-the-answer) questions, where you type the numerical answer.

Quantitative Ability Questions Questions 1-16
1

If f(x) = 2x + 3 and g(x) = x² − 1, what is the value of g(f(2))?

2

The roots of x³ − 6x² + 11x − 6 = 0 are 1, 2 and 3. What is the sum of the squares of the roots?

3

How many pairs of positive integers (x, y) satisfy 3x + 5y = 47?

4

What is the minimum value of x² − 8x + 20?

5

If a : b = 2 : 3 and b : c = 4 : 5, what is a : c?

6

The mean of five consecutive even integers is 24. What is the largest of them?

7

₹8,000 grows to ₹9,261 in 3 years at compound interest compounded annually. What is the rate of interest per annum?

8

How many even four-digit numbers can be formed using the digits 1, 2, 3, 4 and 5 without repeating any digit?

9

How many terms are there in the arithmetic progression 7, 11, 15, …, 143?

10

What is the HCF of 2⁴ × 3² × 5 and 2³ × 3³ × 7?

11

Find the value of 20 × [1/(1×2) + 1/(2×3) + 1/(3×4) + … + 1/(19×20)].

12

What is the remainder when 3¹⁰⁰ is divided by 5?

13

A is 20% of B, and B is 25% of C. A is what percentage of C? (Type in the number, without the % sign.)

14

What is the smallest three-digit number divisible by 8, 12 and 15?

15

How many triangles can be formed by joining 8 points, no three of which are collinear?

16

If 2^x = 5 and 2^y = 20, what is the value of y − x?

What is in this test

  • Quantitative Ability, questions 1-16

16 questions in 30 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.