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SSC CGL Model Paper 4

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Question : 56 of 100

Marks: +1, -0

The average weight of P, Q and R is 47 kg. If the average weight of P and Q be 32.5 kg and that of Q and R be 48.5 kg, then what is the weight of Q (in kg)?

25
21
29
33

Solution:

(2) Total weight of P, Q and R

= 4 7 \times 3 = 141

kg

⇒ P + Q + R =141 ...(i)

Total weight of P and Q

= 3 2 .5 \times 2 = 6 5

kg

⇒ P + Q =65 ... (ii)

Total weight of Q and R

= 4 8 .5 \times 2 = 9 7

kg

⇒ Q + R = 97 ...(iii)

From Eqs. (i) and (iii),

P + 97 = 141

⇒ P = 141 - 97

∴ P = 44

Putting the value of P in Eq. (ii),

⇒ 44 + Q = 65

⇒ Q = 65 - 44

∴ Q =21 kg

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