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CAT QA INEQUALITIES MODULUS QUESTIONS

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 1

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 2

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 3

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 4

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 5

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 6

If a certain amount of money is divided equally among  persons, each one receives Rs 352 . However, if two persons receive Rs 506 each and the remaining amount is divided equally among the other persons, each of them receive less than or equal to Rs 330 . Then, the maximum possible value of  is

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 7

The number of distinct pairs of integers (m, n) satisfying |1+mn| < |m+n| < 5 is

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 8

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 9

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 10

If x and y are non-negative integers such that x + 9 = z, y + 1 = z and x + y < z + 5, then the maximum possible value of 2x + y equals


CAT QA INEQUALITIES MODULUS QUESTIONS - Question 11

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 12

The smallest integer n such that n3 - 11n2 + 32n - 28 > 0 is (TITA)


CAT QA INEQUALITIES MODULUS QUESTIONS - Question 13

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 14

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

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 15

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 16

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 17

a, b, c and d are four positive real numbers such that a + b + c + d = 1, if the maximum value of bcd + acd + abd + abc is A, then find the value of 96A.

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 18

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 19

Given that f(x) = Ax2 + Bx + C (A >0). If f(x) = 0 has integral roots p and q such that –4 ≤p≤ 2and –3≤q≤3, then for how many distinct pairs (p,q) , f(0) < 0?

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 20

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 21

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 22

Find the area enclosed by |x| + |x + y| = 4.

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 23

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 24

Sunder works for a multinational company and earns a 4-digit monthly salary. However, Sunder prefers to disclose his salary to his friends in the number system to the base 6 or base 9, as then his salary would, in either case, correspond to a 5-digit number. Find the difference (as a decimal number) between the maximum and minimum possible values of his salary.

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 25

CAT QA INEQUALITIES MODULUS QUESTIONS - Question 26