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13 Jan 2021, 01:15
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If the students at Count Able High School all take a science class, a mathematics class, or both during their senior year, how many take only a mathematics class?
(1) Of the 300 seniors, 2/3 took a mathematics class.
(2) Of the 300 seniors, 2/3 took a science class.
Are You Up For the Challenge: 700 Level Questions
(1) Of the 300 seniors, 2/3 took a mathematics class.
(2) Of the 300 seniors, 2/3 took a science class.
Are You Up For the Challenge: 700 Level Questions
Updated on: 14 Jan 2021, 10:23
Originally posted by TarunKumar1234 on 13 Jan 2021, 14:11.
Last edited by TarunKumar1234 on 14 Jan 2021, 10:23, edited 1 time in total.
Last edited by TarunKumar1234 on 14 Jan 2021, 10:23, edited 1 time in total.
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If the students at Count Able High School all take a science class, a mathematics class, or both during their senior year, how many take only a mathematics class?
Stat1: Of the 300 seniors, 2/3 took a mathematics class.
given, n(M) = 200, now, we don't know n (S) and n (M⋂S). Not sufficient
Stat2: Of the 300 seniors, 2/3 took a science class.
given, n(S) = 200, so, left only will be maths = 300-200 =100 sufficient
It is B.
Stat1: Of the 300 seniors, 2/3 took a mathematics class.
given, n(M) = 200, now, we don't know n (S) and n (M⋂S). Not sufficient
Stat2: Of the 300 seniors, 2/3 took a science class.
given, n(S) = 200, so, left only will be maths = 300-200 =100 sufficient
It is B.
13 Jan 2021, 22:26
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Students who took only Maths = m
Students who took only Science = s
Students who took both = b
We need to figure out 'm'
Statement 1- m+s+b = 300 and m+b=200
Hence, s=300-200=100; But we can't figure out 'm'
Insufficient
Statement 2- m+s+b = 300 and s+b=200
Hence, m= 300-200 =100
sufficient
Students who took only Science = s
Students who took both = b
We need to figure out 'm'
Statement 1- m+s+b = 300 and m+b=200
Hence, s=300-200=100; But we can't figure out 'm'
Insufficient
Statement 2- m+s+b = 300 and s+b=200
Hence, m= 300-200 =100
sufficient
Bunuel
