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There are flowers in a basket which are to be distributed to five persons standing in a row. The second person received half of the number of flowers given to the first person, the third person received half of the number of flowers received to the second person; the fourth person received half of the number of flowers received to the third person and the fifth person received half of the number of flowers received to the fourth person. If the fifth person received only one flower and there is no flower remaining in the basket, how many flowers were their in the basket?

There are flowers in a basket which are to be distributed to five persons standing in a row. The second person received half of the number of flowers given to the first person, the third person received half of the number of flowers received to the second person; the fourth person received half of the number of flowers received to the third person and the fifth person received half of the number of flowers received to the fourth person. If the fifth person received only one flower and there is no flower remaining in the basket, how many flowers were their in the basket? Correct Answer 31

1. The fifth person received half of the number of flowers received to the fourth person.

P5 = ½(P4)

=> P4 = 2P5

If the fifth person received only one flower and there is no flower remaining in the basket.

So, P5 = 1

P4 = 2P5

=> P4 = 2 × 1

=> P4 = 2

2. The fourth person received half of the number of flowers received to the third person 

P4 = ½(P3)

=> P3 = 2P4

=> P3 = 2 × 2 (As, P4 = 2)

=> P3 = 4

3. The third person received half of the number of flowers received to the second person.

P3 = ½(P2)

=> P2 = 2P3

=> P2 = 2 × 4 (As, P3 = 4)

=> P2 = 8

4. There are flowers in a basket which are to be distributed to five persons standing in a row. The second person received half of the number of flowers given to the first person.

P2 = ½(P1)

=> P1 = 2P2

=> P1 = 2 × 8 (As, P2 = 4)

=> P1 = 16

So, total number of flowers in the basket = P1 + P2 + P3 + P4 + P5

= 16 + 8 + 4 + 2 + 1

= 31

Hence, ‘31’ is the correct answer.

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