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CAT 2020 || Must Attempt PYQPs - Number System Quiz || 10.11.2020 (App update required to attempt this test)

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Question 1

For how many integers n, will the inequality (n – 5) (n – 10) – 3(n – 2) ≤ 0 be satisfied?

Question 2

If x = -0.5, then which of the following has the smallest value?

Question 3

Suppose n is an integer such that the sum of the digits of n is 2, and 10¹⁰ < n < 10¹¹. The number of different values for n is

Question 4

Let x, y and z be distinct integers, that are odd and positive. Which one of the following statements cannot be true?

Question 5

The side of an equilateral triangle is 10 cm long. By drawing parallels to all its sides, the distance between any two parallel lines being the same. The triangle is divided into smaller equilateral triangle, each of which has sides of length 1 cm. How many such small triangles are formed?

Question 6

What is the largest positive integer such that

is also positive integer?

Question 7

In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of fifth and sixth digits. Then, the largest possible value of the fourth digit is

Question 8

The number of integers x such that 0.25 < 2^x < 200, and 2^x + 3 is a prime number , is

Question 9

A foreign currency dealer charges a commission of Rs 5 for exchanging up to US $10, and an extra Rs 3 for every additional US $20 or part thereof. If <k> denotes the smallest integer greater than or equal to k and [k] is the largest integer not exceeding k, then the amount Y of commission in Rupees, as a function of the amount X (> 0) of US Dollars exchanged, is

Question 10

If a, b, c, and d are integers such that a + b + c + d = 30, then the minimum possible value of (a – b)² + (a – c)² + (a – d)² is

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CAT & MBA Quantitative Aptitude

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