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XAT 2019 — QA & DI Question 1

VariationEasy

Two numbers a and b are inversely proportional to each other. If a increases by 100%, then b decreases by

Answer & solution

  • A

    200%

  • 50%

  • C

    100%

  • D

    80%

  • E

    150%

Solution

Given that ‘a’ and ‘b’ are inversely proportional

∴ a ∝ 1/b
⇒ a × b = constant

Hence, if a is doubled (i.e., increased by 100%) b needs to become half.

∴ % change in b = (1/2 - 1) × 100% = 50%.

Hence, option (b).

XAT 2019 QA & DI Q1: Two numbers a and b are inversely proportional to each other. If a increases by 100%, then b decreases by — Solution | TheCATExam