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UPSC PYQPrelims 2026

Civil Services Examination · Question 8

The weight of X, in kg, is denoted by X. The weights of A, B, C, D, P, Q, R and S are measured. Given: A + B + C + D = 17 A + C = 6 P + Q + S + D = 15 P + Q + R + B = 17 P = R and Q = S Which one of the following statements is correct?

  1. B and D together weigh less than the total weight of P and Q.
  2. P and Q together weigh more than the total weight of A and C.
  3. P weighs more than Q.
  4. Q weighs more than P.
Show answer & explanation

Answer: (B) P and Q together weigh more than the total weight of A and C.

Explanation

B + D = 11. Using P = R and Q = S: P + 2Q + D = 15 and 2P + Q + B = 17. Adding: 3(P + Q) + (B + D) = 32, so P + Q = 7 > A + C = 6. P versus Q cannot be fixed.