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19 Apr 2019, 09:11
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
19% (01:55) correct
81%
(02:13)
wrong
based on 233
sessions
History
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Of the 48 students in a class, 16 like to study History. What percentage of the girls in the class do not like to study History?
(1) One-third of the boys in the class like to study History
(2) The number of girls who like History is 50 percent of the number of girls who do not like History
(1) One-third of the boys in the class like to study History
(2) The number of girls who like History is 50 percent of the number of girls who do not like History
20 Apr 2019, 05:17
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A bit confusing question and likely that students go wrong if they miss out crucial information in statement I.
Of the 48 students in a class, 16 like to study History. What percentage of the girls in the class do not like to study History?
(1) One-third of the boys in the class like to study History
So, we don't have anything about girls, so it should be insufficient.
But the ratio of all the students who like history, 16/48 or 1/3, being EQUAL to the ratio of boys who like history gives you the answer..
If over all ratio of something in a set and ratio of the same thing in one of the two subsets is same, then the ratio will be same even in second subset.
For example ..
If boys are 12, 1/3 of 12 or 4 boys like history, so remaining 16-4=12 who like history are girls and total girls are 48-12=36, that is 12/36 or 1/3 girl like history.
Similarly let number be 30 boys and 18 girls. 1/3 of 30 or 10 boys like history so remaining 16-10 are girls and as a fraction it is 6/18=1/3.
So our answer is 1-(1/3) or 2/3.
Sufficient
(2) The number of girls who like History is 50 percent of the number of girls who do not like History
Let the number who do not like history be g, then who like history is 0.5g..
As a % g is g/(g+0.5g)=1/1.5=2/3..66.67%
Sufficient
D
Of the 48 students in a class, 16 like to study History. What percentage of the girls in the class do not like to study History?
(1) One-third of the boys in the class like to study History
So, we don't have anything about girls, so it should be insufficient.
But the ratio of all the students who like history, 16/48 or 1/3, being EQUAL to the ratio of boys who like history gives you the answer..
If over all ratio of something in a set and ratio of the same thing in one of the two subsets is same, then the ratio will be same even in second subset.
For example ..
If boys are 12, 1/3 of 12 or 4 boys like history, so remaining 16-4=12 who like history are girls and total girls are 48-12=36, that is 12/36 or 1/3 girl like history.
Similarly let number be 30 boys and 18 girls. 1/3 of 30 or 10 boys like history so remaining 16-10 are girls and as a fraction it is 6/18=1/3.
So our answer is 1-(1/3) or 2/3.
Sufficient
(2) The number of girls who like History is 50 percent of the number of girls who do not like History
Let the number who do not like history be g, then who like history is 0.5g..
As a % g is g/(g+0.5g)=1/1.5=2/3..66.67%
Sufficient
D
General Discussion
20 Apr 2019, 04:59
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Of the 48 students in a class, 16 like to study History. What percentage of the girls in the class do not like to study History?
(1) One-third of the boys in the class like to study History
(2) The number of girls who like History is 50 percent of the number of girls who do not like History
Let the no.of boys be 'b' and no.of girls be 'g'
From give g+b=48
(1) boys who like to study History is 1/3(48)= 16 i.e percentage of the girls in the class do not like to study History = 0 ...Sufficient
(2) The number of girls who like History is 50 percent of the number of girls who do not like History....Sufficient
OA: D
(1) One-third of the boys in the class like to study History
(2) The number of girls who like History is 50 percent of the number of girls who do not like History
Let the no.of boys be 'b' and no.of girls be 'g'
From give g+b=48
(1) boys who like to study History is 1/3(48)= 16 i.e percentage of the girls in the class do not like to study History = 0 ...Sufficient
(2) The number of girls who like History is 50 percent of the number of girls who do not like History....Sufficient
OA: D
