SSC CGL 2023 PYQ — Question 57

The correct answer is option 1 i.e. 47 times.

The length, breadth, and height of a cuboid are in the ratio 1 : 2 : 3

Let the length, breadth, and height of a cuboid be x, 2x, and 3x respectively.

The volume of a cuboid = Length × Breadth × Height 

The original volume of a cuboid = x × 2x × 3x = 6x³

After an Increment in dimensions 

Length = x + $200x \over 100$ = 3x

Breadth = 2x + 2x × $300 \over 100$ = 8x

Height = 3x + 3x × $300 \over 100$ = 12x

The final volume of the cuboid = 3x × 8x × 12x = 288x

Hence, the volume increased by the original volume = ${288 x^3 - 6x^3} \over 6x^3$ = $282 \over 6$ = 47 times