SSC MTS 2023 PYQ — Question 4

The correct answer is option 1 i.e. $\sqrt{15}:1$.

Concept Used:

Relation between the Length, breadth, and diagonal of the rectangle

Length² + breadth² = Diagonal²

Calculations:

According to the question;

Let the breadth of the rectangle be x.

Diagonal = 4x

⇒ Length² = Diagonal² - breadth²

⇒ Length² = 16x² - x²

⇒ Length² = 15x²

⇒ Length = √15x

Hence, required ratio = √15x : x

⇒ √15 : 1