Multiple choice

If the average marks of P and Q is 15, average marks of Q and R is 12 and average marks of R and P is 13, then find the marks obtained by Q.

  1. 16

  2. 14

  3. 13

  4. 12
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given averages: (P+Q)/2=15, (Q+R)/2=12, (R+P)/2=13. This means P+Q=30, Q+R=24, R+P=26. Adding all: 2(P+Q+R)=80, so P+Q+R=40. Then Q = (P+Q+R) - (R+P) = 40-26 = 14. You can also subtract R+P=24 from P+Q=30 to get Q-R=6, then use with Q+R=24 to solve.

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