In an exam, Amit, Sachin, Kriti, Sandeep and Ravi scored an average of 39…

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In an exam, Amit, Sachin, Kriti, Sandeep and Ravi scored an average of 39 marks. Sandeep scored 7 marks more than Ravi. Ravi scored 9 fewer than Amit. Sachin scored as many as Sandeep and Ravi scored. Sachin and Kriti scored 110 marks. If Amit scores 32 marks then how many marks did Kriti score?

  1. A.

    53 marks

  2. B.

    23 marks

  3. C.

    57 marks

  4. D.

    30 marks

Attempted by 33 students.

Show answer & explanation

Correct answer: C

Answer: Kriti scored 57 marks.

Let Amit = a, Sachin = b, Kriti = c, Sandeep = d, Ravi = e.

Given average = 39, so (a + b + c + d + e) / 5 = 39 ⇒ a + b + c + d + e = 195.

  1. Amit a = 32 (given).

  2. Ravi scored 9 fewer than Amit ⇒ e = a − 9 = 32 − 9 = 23.

  3. Sandeep scored 7 more than Ravi ⇒ d = e + 7 = 23 + 7 = 30.

  4. Sachin scored as many as Sandeep and Ravi scored (i.e., combined) ⇒ b = d + e = 30 + 23 = 53.

  5. Sachin and Kriti scored 110 together ⇒ b + c = 110 ⇒ 53 + c = 110 ⇒ c = 57.

Quick verification: a + b + c + d + e = 32 + 53 + 57 + 30 + 23 = 195, average = 195 / 5 = 39, so the answer is consistent.

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