Allied & ICAR Exam Bank • ALLIED_1570 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

For what value of $k$ does the pair of linear equations $2x + 3y = 7$ and $4x + ky = 14$ have infinitely many solutions?

Options:

  • (A) 6
  • (B) 3
  • (C) 8
  • (D) 12

Answer Key:

A

Step-by-Step Solution & Explanation

Condition: $a_1/a_2 = b_1/b_2 = c_1/c_2 \implies 2/4 = 3/k = 7/14 \implies 1/2 = 3/k \implies k = 6$.
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