1.

The average of three natural numbers, P, Q and R is 35. The average of P and Q is 42 while average of Q and R is 25. What is the average of squares of P and R?1). 17332). 16193). 16614). 1793

Answer»

The average of three NATURAL numbers, P, Q and R is 35.

⇒ (P + Q + R)/3 = 35

⇒ (P + Q + R) = 105

The average of P and Q is 42 while average of Q and R is 25.

⇒ (P + Q)/2 = 42 and (Q + R)/2 = 25

⇒ P + Q = 84 and Q + R = 50

Solving, we get Q = 84 + 50 – 105 = 29

⇒ P = 84 – 29 = 55 and R = 50 – 29 = 21

∴ Average of SQUARES of P and R = (55× 55 + 21 × 21)/2 = 3466/2 = 1733


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