RBI Grade B Officers 2016 Sep shift 2 Paper

(2) It is an equilateral trianglewhose each side = 2x cm. (let)
Area of shaded region – 1
=

300

360

×r2=

1540

3

⇒

5

6

×

22

7

×r2=

1540

3

⇒r2=

1540

3

×

6×7

5×22

=196
⇒ r = 196 = 14 cm.
∴ Side of triangle = 28 cm.Area of triangle
=

√3

4

×28×28
= 196 3 sq. cm.
= 333.2 sq. cm.
Area of all three sectors
=

180

360

×

22

7

×14×14
= 308 sq. cm.
Area of shaded region–2
= 333.2 – 308
= 25.2 sq. cm.
Clearly, quantity I > quantity II.