SSC CGL 2024 PYQ — Question 73

The correct answer is Option 3 i.e. The system has no solution.

We know that,

For two lines a₁x + b₁y = c₁ and a₂x + b₂y = c₂

Parallel = a₁/a₂ = b₁/b₂ ≠ c₁/c₂

Coincident = a₁/a₂ = b₁/b₂ = c₁/c₂

Intersecting = a₁/a₂ ≠ b₁/b₂

Now,

⇒ 0.4x + 0.16y = 1.7 and 0.3x + 0.12y = 3.4

Multiplying both equations by 100

⇒ 40x + 16y = 170 and,

⇒ 30x + 12y = 340

Now,

Taking coefficient

⇒ 40/30 = 16/12 ≠ 170/340

⇒ 4/3 = 4/3 ≠ 1/2 [satisfied]

Thus,

The system has no solution.