d = 4375 + 2986 – 2361 = 5000

Correct Option: B

d = 4375 + 2986 – 2361 = 5000

The sum of two odd numbers is even. The same is the case with their product.
∴  a + b + 2ab = Even number

Correct Option: D

The sum of two odd numbers is even. The same is the case with their product.
∴  a + b + 2ab = Even number

Let the numbers be x and y.
∴  x (x + y) = 247
and y (x + y) = 114
⇒  x² = 247 and xy + y²
= 114
On adding;
x² + xy + xy + y² = 247 + 114
⇒  x² + 2xy + y² = 361
⇒  (x + y)² = 19² ⇒ x + y = 19

Correct Option: A

Let the numbers be x and y.
∴  x (x + y) = 247
and y (x + y) = 114
⇒  x² = 247 and xy + y²
= 114
On adding;
x² + xy + xy + y² = 247 + 114
⇒  x² + 2xy + y² = 361
⇒  (x + y)² = 19² ⇒ x + y = 19

Let the natural numbers be x and y.
∴  Required sum = 18x + 21y
= 3 (6x + 7y)
Hence, the sum is divisible by 3.
∴  Required answer = 2007

Correct Option: A

Let the natural numbers be x and y.
∴  Required sum = 18x + 21y
= 3 (6x + 7y)
Hence, the sum is divisible by 3.
∴  Required answer = 2007

If the first number be x, then

Correct Option: D

If the first number be x, then