p = q + 5
⇒  p – q = 5
p² + q² = 55
∴  (p – q)² + 2pq = 55
⇒  25 + 2 pq = 55
⇒  2 pq = 30
⇒  pq = 15

Correct Option: C

p = q + 5
⇒  p – q = 5
p² + q² = 55
∴  (p – q)² + 2pq = 55
⇒  25 + 2 pq = 55
⇒  2 pq = 30
⇒  pq = 15

Since the numbers between –
10 and 10 will be single digit and the numbers below 100 will be either one digit or two digit. We know that the square root of one or two digit number is always single digit number. Therefore, required answer is option (3).

Correct Option: C

Since the numbers between –
10 and 10 will be single digit and the numbers below 100 will be either one digit or two digit. We know that the square root of one or two digit number is always single digit number. Therefore, required answer is option (3).

Let the two numbers be A and B.
Then, A + B = 22
and A² + B² = 404
We know that
(A + B)² = A² + B² + 2AB
or  (22)² = 404 + 2AB
or  484 = 404 + 2 AB
or  2AB = 80
or  AB = 40
∴  The product of the two numbers = 40

Correct Option: A

Let the two numbers be A and B.
Then, A + B = 22
and A² + B² = 404
We know that
(A + B)² = A² + B² + 2AB
or  (22)² = 404 + 2AB
or  484 = 404 + 2 AB
or  2AB = 80
or  AB = 40
∴  The product of the two numbers = 40

According to question,

Correct Option: D

According to question,

Let the number be x
According to the question

Correct Option: C

Let the number be x
According to the question