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A boy purchased a few apples and a few oranges from a shop. What is th

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New post 16 Jul 2017, 23:35
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A boy purchased a few apples and a few oranges from a shop. What is the probability that he purchased a greater number of apples than oranges?

(1) The cost of an apple is $5 and that of an orange is $2.
(2) The total worth of apples and oranges purchased is $27.

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New post 16 Jul 2017, 23:43
The answer can be arrived at by combining the 2 statements which will give us the equation - 5A+2O = 27.
Answer C
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Re: A boy purchased a few apples and a few oranges from a shop. What is th  [#permalink]

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New post 17 Jul 2017, 00:19
Ojassud1 wrote:
The answer can be arrived at by combining the 2 statements which will give us the equation - 5A+2O = 27.
Answer C
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there are only a few pairs of values that satisfy these constraints.

1 apple + 11 oranges.
3 apples + 6 oranges
5 apples + 1 oranges

these are the only values that satisfy the conditions given in 1 and 2. HTH
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Re: A boy purchased a few apples and a few oranges from a shop. What is th  [#permalink]

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New post 17 Jul 2017, 11:38
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St-1 itself is insufficient.
St-2 itself is insufficient.


Combining 1 and 2- We get 3 scenarios.

1 Apple, & 11 Oranges.
3 Apples, & 6 Oranges.
5 Apples, & 1 Oranges.

Since the question is asking for the probability of the greater number of apples. Only 1 condition satisfies. So we can get the probability. The answer is C.
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Re: A boy purchased a few apples and a few oranges from a shop. What is th  [#permalink]

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New post 13 Aug 2017, 10:30
Ojassud1 wrote:
The answer can be arrived at by combining the 2 statements which will give us the equation - 5A+2O = 27.
Answer C
Open for others' inputs/thoughts



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This single equation is not enough. There are three possibilities-

1 A , 11 O
3 A , 6 O
5 A , 1 O

Since there is a single possibility of buying more apples than oranges, so both the statements are sufficient to answer the question.

C.
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Re: A boy purchased a few apples and a few oranges from a shop. What is th  [#permalink]

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New post 22 Aug 2017, 10:29
Bunuel wrote:
A boy purchased a few apples and a few oranges from a shop. What is the probability that he purchased a greater number of apples than oranges?

(1) The cost of an apple is $5 and that of an orange is $2.
(2) The total worth of apples and oranges purchased is $27.


(1) Does not tell us anything about the quantity of apples or oranges (Insufficient)
(2) Does not tell us anything about the cost of each apple or orange (Insufficient)

(1) + (2)
Only three possibilities :
Number of apples * Cost of one apple + Number of oranges * Cost of one orange = 27
a. 5 * 5 + 1 * 2 = 27
b 3 * 5 + 6 * 2 = 27
c. 1 * 5 + 11 * 2 =27

Hence probability that number of apples will be more than number of oranges is 1/3

Ans. C
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Re: A boy purchased a few apples and a few oranges from a shop. What is th   [#permalink] 22 Aug 2017, 10:29
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