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XAT 2014 — QA & DI Question 3

Simple EquationsEasy

Consider the formula,

S=α×ωτ+ρ×ω, where all the parameters are positive integers. If ⍵ is increased and ⍺, τ and ρ are kept constant, then S:

 

Answer & solution

Correct answer: increases

  • increases

  • B

    decreases

  • C

    increases and then decreases

  • D

    decreases and then increases

  • E

    cannot be determined

Solution

1S=τ+ρ×ωαω=ταω+ρα=K1ω+K2

Where K1 and K2 are constants
⇒ 1/S decreases when ω increases.
⇒ S increases when ω increases.
Hence, option (a).

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XAT 2014 QA & DI Q3: Consider the formula, S = α × ω τ + ρ × ω , where all the parameters are — Solution | TheCATExam