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SSC CGL 2024 PYQ — Question 66

SSC CGL - 17 Sep 2024 - Shift 2 • Quantitative Aptitude • Q66

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For what value of k, the system of equations 4x + 12y + 36 = 0 and 5x + ky + 45 = 0 has an infinite number of solutions?

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 15.

For infinite number of solutions, a1a2=b1b2=c1c2{a_1 \over a_2} = {b_1 \over b_2} ={c_1 \over c_2}

Now, 45=12k{4 \over 5} = { 12 \over k}

⇒ k = 15