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Aptitude · Q51

Number System

Competitive Exams · Aptitude · question 51

Q51

The owner of a local jewellery store hired 3 watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave 1/2 of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally?

The owner of a local jewellery store hired 3 watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally?
A.
36
Answer
B.
25
C.
640
D.
None of these

Answer: Option A

Solution

Answer: Option A
Solution:
At last thief is left with one diamond.
Hence, the number of diamonds before he gave some diamonds to the third watchman,

Hence, he had 6 diamonds before he gave 5 to the third watchman.
Similarly number of diamonds before giving to second watchman,

And number of diamonds before giving to the first watchman,

∴ The thief has stolen 36 diamonds originally