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.

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

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

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

let the total number of sweet = N
According to the question
(N/250) - (N/300) = 1

Correct Option: C

let the total number of sweet = N
According to the question
(N/250) - (N/300) = 1
⇒ (6N - 5N) / 1500=1
∴ N = 1500