Allied & ICAR Exam Bank • ALLIED_2320 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

If $a, b, c$ are in arithmetic progression and $a, b, c+2$ are in geometric progression with $a=2$, then the value of $b$ is:

Options:

  • (A) 4
  • (B) 6
  • (C) 8
  • (D) 5

Answer Key:

A

Step-by-Step Solution & Explanation

In AP: $b = 2 + d, c = 2 + 2d$. In GP: $b^2 = a(c+2) \implies (2+d)^2 = 2(4+2d) = 8 + 4d$. $4 + 4d + d^2 = 8 + 4d \implies d^2 = 4 \implies d = 2$ (for positive terms). Thus $b = 2 + 2 = 4$.
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