According to the question,
= 68² – 32² = (68 + 32) (68 – 32)
= 100 × 36
= 3600 = (60)²

Correct Option: C

According to the question,
= 68² – 32² = (68 + 32) (68 – 32)
= 100 × 36
= 3600 = (60)²

37 is a prime number.
∴  37 = 1 × 37
∴  Required answer
= √37 − 1 = √36 = 6

Correct Option: C

37 is a prime number.
∴  37 = 1 × 37
∴  Required answer
= √37 − 1 = √36 = 6

From the given alternatives,
5² + 6² + 7² = 110
∴  The smallest number = 5

Correct Option: D

From the given alternatives,
5² + 6² + 7² = 110
∴  The smallest number = 5

Let the number of boys and girls in the room be x and y respectively.
According to the question,
x² = y² + 28
⇒  x² − y² = 28       ..........(i)
and   x = y + 2
⇒  x – y = 2       ..........(ii)
On dividing equation (i) by equation (ii), we have

Correct Option: B

Let the number of boys and girls in the room be x and y respectively.
According to the question,
x² = y² + 28
⇒  x² − y² = 28       ..........(i)
and   x = y + 2
⇒  x – y = 2       ..........(ii)
On dividing equation (i) by equation (ii), we have

Correct Option: C