The correct answer is (D):
Given, (n – 1) (n) (n + 1) = 15600
As 15600 has 2 zeroes in it, one of n – 1, n or n + 1 should be a multiple of 25.
Dividing 15600 by 25, we get 624, but 624 = 24*26 so, the numbers are 24, 25 and 26
242 + 252 + 262 = 1877
Directions: In Question Numbers 19 and 20, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct option from the following:
(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(C) Assertion (A) is true, but Reason (R) is false.
(D) Assertion (A) is false, but Reason (R) is true.
Assertion (A): For any two prime numbers $p$ and $q$, their HCF is 1 and LCM is $p + q$.
Reason (R): For any two natural numbers, HCF × LCM = product of numbers.