SSC Selection Post 2023 PYQ — Question 52

SSC Selection Post - Higher Secondary Level - 30 June 2023 - Shift 2 • Quantitative Aptitude • Q52

For what value of p does the system of equations 18x + 36y + 45 = 0 and px - 54y + 67 = 0 have no solution?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. -27.

When there is no solution,

18/p = 36/(-54) = 18/(-27)

⇒ p = - 27