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Apr 2808:00 AM PDT
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07 Apr 2022, 01:30
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
72% (01:13) correct
28%
(01:40)
wrong
based on 137
sessions
History
Date
Time
Result
Not Attempted Yet
In a certain daycare, are there more boys than girls?
(1) The number of girls is less than 3 times the number of boys.
(2) The number of boys is less than 3/4 the number of girls.
(1) The number of girls is less than 3 times the number of boys.
(2) The number of boys is less than 3/4 the number of girls.
07 Apr 2022, 08:38
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(1) Only: The number of girls is less than 3 times the number of boys.
Supposing there are two boys.
The number of girls can be 1, or 4.
Insufficient.
(2) Only: The number of boys is less than 3/4 the number of girls.
Number of girls has to be 4, 8, 12, etc.
Number of boys is less than 3, 6, 9, etc.
We can confidently answer "No" to the question "are there more boys than girls?"
Sufficient.
So the answer is (B).
Supposing there are two boys.
The number of girls can be 1, or 4.
Insufficient.
(2) Only: The number of boys is less than 3/4 the number of girls.
Number of girls has to be 4, 8, 12, etc.
Number of boys is less than 3, 6, 9, etc.
We can confidently answer "No" to the question "are there more boys than girls?"
Sufficient.
So the answer is (B).
14 Apr 2022, 05:28
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Step 1: Analyse Question Stem
Let the number of boys in the daycare be B and let the number of girls be G.
We have to evaluate if B > G.
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: The number of girls is less than 3 times the number of boys.
This means, G < 3B.
If B = 2, G < 6. This means, G can be any integer from 1 to 5.
If G = 1, B > G and the answer to the main question is YES; however, if G = 3, B < G and the answer to the main question is NO.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2: The number of boys is less than 3/4 the number of girls.
This means B < ¾ G.Since G represents the number of girls and hence is a positive integer, multiplying it with a proper fraction like ¾ will only reduce the value of G. Since B is lesser than ¾ G, B must be smaller than G.
Are there more boys than girls? NO.
Statement 2 alone is sufficient. Answer options C and E can be eliminated.
The correct answer option is B.
Let the number of boys in the daycare be B and let the number of girls be G.
We have to evaluate if B > G.
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: The number of girls is less than 3 times the number of boys.
This means, G < 3B.
If B = 2, G < 6. This means, G can be any integer from 1 to 5.
If G = 1, B > G and the answer to the main question is YES; however, if G = 3, B < G and the answer to the main question is NO.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2: The number of boys is less than 3/4 the number of girls.
This means B < ¾ G.Since G represents the number of girls and hence is a positive integer, multiplying it with a proper fraction like ¾ will only reduce the value of G. Since B is lesser than ¾ G, B must be smaller than G.
Are there more boys than girls? NO.
Statement 2 alone is sufficient. Answer options C and E can be eliminated.
The correct answer option is B.
