QUESTION

CSAT

Easy

Maths

Prelims 2022

A has some coins. He gives half of the coins and 2 more to B. B gives half of the coins and 2 more to C. C gives half of the coins and 2 more to D. The number of coins D has now, is the smallest two-digit number. How many coins does A have in the beginning?

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Explanation

  1. Information about D: The smallest two-digit number is 10. So, the number of coins D has is 10.

  2. Coins Given from C to D: (C/2)+2=10(C/2) + 2 = 10 C had 16 coins.

  3. Coins Given from B to C: (B/2)+2=16(B/2) + 2 = 16 B had 28 coins.

  4. Coins Given from A to B: (A/2)+2=28(A/2) + 2 = 28 A had 52 coins.

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