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25 May 2022, 08:00
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E
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Difficulty:
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Question Stats:
48% (01:48) correct
52%
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wrong
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A teacher distributed pens, pencils, and erasers among the students of his class, such that all students got an equal number of pens, an equal number of pencils, and an equal number of erasers. If no pens, pencils, or erasers remained with the teacher, how many students were in the class?
(1) Each student got pens, pencils, and erasers in the ratio 3:4:5, respectively.
(2) The teacher distributed a total of 27 pens, 36 pencils, and 45 erasers.
Are You Up For the Challenge: 700 Level Questions
(1) Each student got pens, pencils, and erasers in the ratio 3:4:5, respectively.
(2) The teacher distributed a total of 27 pens, 36 pencils, and 45 erasers.
Are You Up For the Challenge: 700 Level Questions
25 May 2022, 08:31
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A teacher distributed pens, pencils, and erasers among the students of his class, such that all students got an equal number of pens, an equal number of pencils, and an equal number of erasers. If no pens, pencils, or erasers remained with the teacher, how many students were in the class?
(1) Each student got pens, pencils, and erasers in the ratio 3:4:5, respectively.
Students can be 12x or 24x or 36x....
INSUFFICIENT.
(2) The teacher distributed a total of 27 pens, 36 pencils, and 45 erasers.
3ˆ3 : 3ˆ2*2ˆ2 : 3ˆ2*5
3 students got in ratio
3ˆ2 : 3*2ˆ2 : 3*5
i.e. each students got 9 pens, 12 pencils and 15 erasers
OR
9 students got in ratio
3 : 2ˆ2 : 5
i.e. each student got 3 pens, 4 pencils and 5 erasers
INSUFFICIENT.
Together 1 and 2.
Same ratio can be maintained with different students.
INSUFFICIENT.
Answer E.
(1) Each student got pens, pencils, and erasers in the ratio 3:4:5, respectively.
Students can be 12x or 24x or 36x....
INSUFFICIENT.
(2) The teacher distributed a total of 27 pens, 36 pencils, and 45 erasers.
3ˆ3 : 3ˆ2*2ˆ2 : 3ˆ2*5
3 students got in ratio
3ˆ2 : 3*2ˆ2 : 3*5
i.e. each students got 9 pens, 12 pencils and 15 erasers
OR
9 students got in ratio
3 : 2ˆ2 : 5
i.e. each student got 3 pens, 4 pencils and 5 erasers
INSUFFICIENT.
Together 1 and 2.
Same ratio can be maintained with different students.
INSUFFICIENT.
Answer E.
15 Apr 2025, 21:15
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Can you please elaborate how it's not C, because you have fixed multiplier of 9 after combining.
