A field is in the shape of a rectangle of length 90 m and breadth 75 m In one corner of the field a ...........

Quantitative Aptitude (CPO) Mensuration 2D

A field is in the shape of a rectangle of length 90 m and breadth 75 m. In one corner of the field, a pit, which is 18 m long 15 m

broad and 6 m deep, has been dug out. The earth taken out of it is evenly spread over the remaining part of the field. Find the

rise in the level of the field?

This questions was previously asked in

SSC CPO 9th Nov 2022 Shift 1

27 cm

25 cm

28 cm

24 cm

Let’s break down the problem:

- Area of field = 90 m × 75 m = 6750 m²

- Pit size = 18 m × 15 m × 6 m

? Volume dug out = 18 × 15 × 6 = 1620 m³

- Area minus pit = (6750 – 270) m² = 6480 m²

- The earth (1620 m³) is spread evenly over 6480 m².

- Rise in level = Volume spread / Area covered

= 1620 m³ / 6480 m² = 0.25 m = 25 cm

So, the correct option is:

- Option 2: 25 cm

Other options:

- 27 cm, 28 cm, and 24 cm do not match the calculation.

- Therefore, Option 2 is the only correct choice.

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