Question

Match the entries of List-I with the correct entries of List-II.

List-I	List-II
(P) Sum of first 100 natural numbers, is	(1) 385
(Q) Sum of squares of first 10 natural numbers, is	(2) 2550
(R) Sum of first 50 odd natural numbers, is	(3) 5050
(S) Sum of first 50 even natural numbers, is	(4) 2500
	(5) 470

• A. (P) → (2); (Q) → (5); (R) → (3); (S) → (4)
• B. (P) → (3); (Q) → (1); (R) → (2); (S) → (4)
• C. (P) → (3); (Q) → (1); (R) → (4); (S) → (2)
• D. (P) → (3); (Q) → (5); (R) → (4); (S) → (4)

Answer 1

Answer: (C)

(P) → (3); (Q) → (1); (R) → (4); (S) → (2)

Answer 2

(P) Sum of first 100 natural numbers: $S_n = \frac{n(n+1)}{2} = \frac{100(101)}{2} = 5050$. Matches (3).

(Q) Sum of squares of first 10 natural numbers: $S_n = \frac{n(n+1)(2n+1)}{6} = \frac{10(11)(21)}{6} = 385$. Matches (1).

(R) Sum of first 50 odd natural numbers: $n^2 = 50^2 = 2500$. Matches (4).

(S) Sum of first 50 even natural numbers: $n(n+1) = 50(51) = 2550$. Matches (2).