Let the side of the square be 'a' and let the radius of the circle be 'r'
Then, a² = πr²
⇒ a² / r² = π
⇒ a / r = √π

Correct Option: A

Let the side of the square be 'a' and let the radius of the circle be 'r'
Then, a² = πr²
⇒ a² / r² = π
⇒ a / r = √π
∴ a : r = √π : 1

Let the number of boys and girls be x and y respectively. Then
From question, (x - y ) = 12% of (x + y)

Correct Option: B

Let the number of boys and girls be x and y respectively. Then
From question, (x - y ) = 12% of (x + y)
⇒ x/y = 3/25 (x + y )
⇒ 25x - 25y = 3x + 3y
⇒ 22x = 28y
∴ x / y = 28 / 22 = 14 / 11

Ratio = 1/2 : 1/3 : 1/4 = 6 : 4 : 3
∴ share of third friend = Rs. (624 x 3/13)
= Rs. 144

Correct Option: D

Ratio = 1/2 : 1/3 : 1/4 = 6 : 4 : 3
∴ share of third friend = Rs. (624 x 3/13)
= Rs. 144

Greater number = 420 x (4/7) = 240

Correct Option: C

Greater number = 420 x (4/7) = 240

For dividing 12 into two whole numbers, the sum of the terms of the ratio must be a factor of 12.

Correct Option: C

For dividing 12 into two whole numbers, the sum of the terms of the ratio must be a factor of 12. so, they cannot be in the ratio 3 :2.