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CAT 2002 — QA Question 33

Basics of Mensuration/PrismEasy

On the corners of a square field of side 14 metres, 4 horses are tethered in such a way the adjacent horses just reach each other. There is a circular pond of area 20 sq.m. in the centre of the square. What is the area left ungrazed?

Answer & solution

Correct answer: 22 sq. m

  • A

    154 sq. m

  • 22 sq. m

  • C

    120 sq. m

  • D

    None of these

Solution

Side of square field = 14 m

∴ Area of square field = 196 sq.m.

Area of the circle = 20 sq.m.

Area grazed by horses = 4×90°360° × π × 72

= 22 × 7

= 154 sq.m.

∴ Area capable of being grazed = 196 – 20 = 176 sq.m.

∴ Area left ungrazed = 176 – 154 = 22 sq.m.

Hence, option (b).

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CAT 2002 QA Q33: On the corners of a square field of side 14 metres, 4 horses are tethered in such a way the adjacent horses ju — Solution | TheCATExam