Let the two consecutive numbers are N and N+2

According to the question
N (N + 2) = 19043

Correct Option: A

Let the two consecutive numbers are N and N+2

According to the question
N (N + 2) = 19043
⇒ N² + 2N - 19043 = 0
⇒ N² + 139N - 137N - 19043= 0
⇒ N( N + 139) - 137 ( N - 137 ) = 0
⇒ N( N + 139) ( N - 137) = 0
⇒ N = 137 and N = - 139
∴ N = 137

Let the number be N
According to the question
N - 3N/4 = 163

Correct Option: D

Let the number be N
According to the question
N - 3N/4 = 163
⇒ N/4 = 163
∴ N = 652

Let the positive number be N.
According to the question,
N + 10 = 200/N
⇒ N² + 10N = 200

Correct Option: B

Let the positive number be N.
According to the question,
N + 10 = 200/N
⇒ N² + 10N = 200
⇒ N² + 10N - 200 = 0
⇒ ( N - 10) ( N + 20) = 0
&ythere4; N = 10 and N = -20
But N ≠ -20, since N is a positive number.
So, the required number is 10.

Here, M + N = 10 and MN = 20
According to the question,
(1/M) + (1/N) = (M + N) / MN

Correct Option: C

Here, M + N = 10 and MN = 20
According to the question,
(1/M) + (1/N) = (M + N) / MN = 10/20 = 1/2

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 and N = -1/2
Thus, the required number is 3.