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Algebra -7-Modulus || Quantitative Aptitude || CAT 2021 || 10 May

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Question 1

What is the value of |–5 + |–8| – |–4||

Question 2

If |x − 12| = 18, then the values of x are

Question 3

Find the number of solution for x: |x + 6| – |x – 6| + 6 = 0

Question 4

Find the least value of |x – 13| + |x – 12| + …… + |x – 1| + |x| + |x + 1| + |x + 2| + |x + 3|

Question 5

Find the number of solutions of the equation ax² + b lxl + c = 0, Where, a > 0 and b.c < 0.

Question 6

Consider the equation:

|x-5|² + 5|x-5| -24 = 0

The sum of all the real roots of the above equation is :

Question 7

The number of integral values of x that satisfy ||x – 6| – |x + 3|| ≤ 5 is

Question 8

Values of x that satisfy the inequality, ||x – 2| + 1| > 7 lie in

Question 9

If x satisfies the inequality, |x – 1| + |x – 2| + |x – 3| ≥ 6, then

Question 10

If |b| ≥ 1 and x = –|a|b, then which one of the following is necessarily true?

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May 10CAT & MBA