Allied & ICAR Exam Bank • ALLIED_1885 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

If $a^2 + b^2 + c^2 = 20$ and $a + b + c = 6$, the value of $ab + bc + ca$ is:

Options:

  • (A) 8
  • (B) 16
  • (C) 10
  • (D) 12

Answer Key:

A

Step-by-Step Solution & Explanation

$(a+b+c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca) \implies 36 = 20 + 2(ab+bc+ca) \implies ab+bc+ca = 8$.
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