119 is divisible by 7, 187 is divisible by 11,247 is divisible by 13 and 551 is divisible by 19. So none of the given numbers is prime.

Correct Option: D

119 is divisible by 7, 187 is divisible by 11,247 is divisible by 13 and 551 is divisible by 19. So none of the given numbers is prime.

Let the number be N
According to the question,
[N x (3/2)] - [N / (3/2)] =10

Correct Option: B

Let the number be N
According to the question,
[N x (3/2)] - [N / (3/2)] =10
⇒ 3N/2 - 2N/3 = 10
⇒ (9N - 4N)/6 = 10
⇒ 5N / 6 = 10
∴ N = (10 x 6)/5 =12

Let the number be N
According to the question 5N = 2N² - 3

Correct Option: A

Let the number be N
According to the question 5N = 2N² - 3
⇒ 2N² - 5N -3 = 0
⇒ (N - 3) (2N + 1) = 0
N = 3 & -1/2
Thus the required number is 3

Given Exp. = (a²+ b²+ ab) / (a³-b³)
= 1 / (a - b)

Correct Option: A

Given Exp. = (a²+ b²+ ab) / (a³-b³)
= 1 / (a - b)
= 1 / (16 - 5)
= 1/11.

Sum of the five consecutive odd number = N + (N + 2) + (N + 4) + (N + 6) + (N + 8) =175

Correct Option: D

Sum of the five consecutive odd number = N + (N + 2) + (N + 4) + (N + 6) + (N + 8) =175
⇒ 5N + 20 =175
⇒ N = (175 - 20) / 5 = 31

Sum of the second largest and square of smallest one = (31 + 6) + (31)²
= 37 + 961=998