Allied & ICAR Exam Bank • ALLIED_2380 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

If $x$ varies directly as $(y + z)$ and inversely as $w$, and $x = 4$ when $y = 3, z = 5, w = 2$, what is the value of $w$ when $x = 6, y = 4, z = 8$?

Options:

  • (A) 2
  • (B) 3
  • (C) 4
  • (D) 1.5

Answer Key:

A

Step-by-Step Solution & Explanation

$x = k(y+z)/w \implies 4 = k(8)/2 = 4k \implies k = 1$. Then $6 = 1(4+8)/w = 12/w \implies w = 2$.
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