2022_IAS_Qn A28. A has some coins. He gives half of the coins and 2 more to B. B gives half of the

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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?
(a) 76
(b) 68
(c) 60
(d) 52
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D = Smallest two-digit number = 10
D = (C/2)+2 gives, C = (D-2) * 2
C =(10-2) * 2 = 16
B =(16-2) * 2 = 28
A =(28-2) * 2= 52

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