One thief entered a cave where he found a pile of diamonds. At first he thought of taking all. But listening to his conscience he thought of taking only half of them. But while returning he picked up two more from the pile. After that Second thief entered the cave and bagged half of remaining diamonds and picked up two more while returning. Later third thief entered and did the same. Even the fourth thief did the same. When the fifth thief entered he found only one diamond in the cave. How many diamonds are there in the cave at first.
Choose the correct answer: A) 86 B) 94 C) 80 D) 96 E) 55
Explanation :   When 5th thief entered-1 diamond   When 4th thief entered -(1+2)*2=6 diamonds   When 3rd thief entered -(6+2)*2=16 diamonds   When 2nd thief entered -(16+2)*2=36 diamonds   When 1st thief entered -(36+2)*2=76 diamonds   Hence(D) is the correct answer.   Answer : 96
<result>D</result>
One thief entered a cave where he found a pile of diamonds. At first he thought of taking all. But listening to his conscience he thought of taking only half of them. But while returning he picked up two more from the pile. After that Second thief entered the cave and bagged half of remaining diamonds and picked up two more while returning. Later third thief entered and did the same. Even the fourth thief did the same. When the fifth thief entered he found only one diamond in the cave. How many diamonds are there in the cave at first.