CAT Exam Model Paper 2 with solutions for free online practice

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Question : 92 of 100

Marks: +1, -0

If

| b | ≥ 1

and

x = - |a|b

, then which one of the following is necessarily true?

$a-xb<0$
$a-xb≥0$
$a - xb > 0$
$a - xb ≤ 0$

Solution:

(b) ∵

| b| ≥ 1

⇒ b ≥ 1 \or b ≤ − 1.

Then we can chart out the following table.

a	b	x	a − xb
a > 0	b≥ 1	− ve	a − xb ≥ 0
a > 0	b ≤ − 1	+ ve	a − xb ≥ 0
a < 0	b ≥ 1	− ve	a − xb ≥ 0
a < 0	b ≤ − 1	+ ve	a − xb ≥ 0

Hence, choice (b) is correct.

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