Average marks of a,b,c is 48. When d joins average becomes 47. E has 3 more…

2023

Average marks of a,b,c is 48. When d joins average becomes 47. E has 3 more marks than d. Average marks of b,c,d,e is 48. What is the marks of a?

Answer: B. 43Given: average of a, b, c = 48; when d joins average = 47; e has 3 more marks than d; average of b, c, d, e = 48. From average of a, b, c = 48: a + b + c =…

  1. A.

    46

  2. B.

    43

  3. C.

    49

  4. D.

    52

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Correct answer: B

Given: average of a, b, c = 48; when d joins average = 47; e has 3 more marks than d; average of b, c, d, e = 48.

  • From average of a, b, c = 48: a + b + c = 144

  • When d joins, average becomes 47 for four people: a + b + c + d = 188, so using a + b + c = 144 gives d = 44

  • E has 3 more marks than d: e = 47

  • Average of b, c, d, e = 48 gives b + c + d + e = 192. Substitute d = 44 and e = 47 to get b + c = 101

  • Finally, from a + b + c = 144 and b + c = 101 we have a = 43

Answer: 43

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