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18 Nov 2025, 23:45
Kudos
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
62% (01:26) correct
38%
(01:22)
wrong
based on 164
sessions
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Not Attempted Yet
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) 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.
19 Nov 2025, 01:14
Kudos
Bookmarks
Let apples be a
Let cost of apples be m
Let oranges be o
Let cost of oranges be n
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.
m = 5
n = 2
Insufficient
(2) The total worth of apples and oranges purchased is $27.
am + on = 27
No further values provided
Insufficient
Combined we get
=> 5a + 2o = 27
Possible pairs of (a, o) are (5,1), (3, 6), (1, 11)
So, apples and oranges can be purchased in these combinations. Out of these a > o in only 1 pair (5,1). In all other combinations a < o
Hence, probability of purchasing a greater number of apples than oranges would be 1/3
IMO Option C
Let cost of apples be m
Let oranges be o
Let cost of oranges be n
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.
m = 5
n = 2
Insufficient
(2) The total worth of apples and oranges purchased is $27.
am + on = 27
No further values provided
Insufficient
Combined we get
=> 5a + 2o = 27
Possible pairs of (a, o) are (5,1), (3, 6), (1, 11)
So, apples and oranges can be purchased in these combinations. Out of these a > o in only 1 pair (5,1). In all other combinations a < o
Hence, probability of purchasing a greater number of apples than oranges would be 1/3
IMO Option C
Bunuel
19 Nov 2025, 11:47
Kudos
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Bunuel
Let the number of apples be a,
Let the number of oranges be b.
Probability of Number of Apple GREATER than Oranges = ?
Statement 1:
(1) The cost of an apple is $5 and that of an orange is $2.
This statement in isolation, does not deal with the numbers.
Hence, Insufficient.
Statement 2:
(2) The total worth of apples and oranges purchased is $27.
a * cost of apple + b * cost of oranges = $27
Many unknown variables.
Hence, Insufficient.
Combining both Statements 1 and 2, we get
5a + 2b = $27
The values of (a,b) = (5,1); (3,6); (1,11).
The probability of apple GREATER than orange = case of (5,1) / Total cases
= 1/3
Option C
