Allied & ICAR Exam Bank • ALLIED_2338 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

If $\frac{\log a}{b - c} = \frac{\log b}{c - a} = \frac{\log c}{a - b}$, then the value of $a^a b^b c^c$ is:

Options:

  • (A) 1
  • (B) 0
  • (C) abc
  • (D) -1

Answer Key:

A

Step-by-Step Solution & Explanation

Let ratio equal $k$. $\log a = k(b-c), \log b = k(c-a), \log c = k(a-b)$. Then $\log(a^a b^b c^c) = a\log a + b\log b + c\log c = k[a(b-c) + b(c-a) + c(a-b)] = k(0) = 0$. Hence $a^a b^b c^c = 1$.
← Previous (ALLIED_2337) Next (ALLIED_2339) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test