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15 Sep 2025, 01:02
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B
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Difficulty:
25%
(medium)
Question Stats:
76% (01:52) correct
24%
(01:59)
wrong
based on 71
sessions
History
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Time
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Not Attempted Yet
At a school, one-fourth of the teachers are male and half of the teachers are non-academic staff. What is the number of teachers at this school?
(1) Exactly 14 of the teachers at the school are males who are non-academic staff.
(2) There are 32 more female teachers than male teachers at the school.
(1) Exactly 14 of the teachers at the school are males who are non-academic staff.
(2) There are 32 more female teachers than male teachers at the school.
15 Sep 2025, 12:30
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Bunuel
Let’s use the question stem to create a table :
| Male | Female | Total | |
| Teachers | x | 3x | 4x |
| Non Academics | 2x | ||
| 6x |
Statement 1:
Exactly 14 of the teachers at the school are males who are non-academic staff.
so, the value below x becomes 14 ( non academic male ) , female = 2x -14.
since, we cannot find x, insufficient.
Statement 2:
There are 32 more female teachers than male teachers at the school.
3x - x = 2x = 32
Thus, x = 16.
Hence, 6x = 6*16 = 96. Hence, Sufficient.
Option B
15 Sep 2025, 18:05
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| Male | Female | Total | |
| Non-Academic | x/2 | ||
| academic | x/2 | ||
| Total | x/4 | 3x/4 | X |
We have this info:
option 1:
14 teachers are male and non academic
This does not help to figure out the total number of teachers. (not sufficient)
Option 2
3x/4-x/4=32 =>2x/4=32=> x=64. Sufficient . Hence it should be option B
Bunuel
