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20 May 2018, 11:24
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Difficulty:
95%
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Question Stats:
34% (02:10) correct
66%
(02:06)
wrong
based on 366
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Out of total 36 students in a class, what percent of students passed the talent hunt exam, if each of the 36 students appeared for the exam?
(1) 70% of boys and 12.5% of girls passed the talent hunt exam.
(2) There are more than 12 boys in the class.
(1) 70% of boys and 12.5% of girls passed the talent hunt exam.
(2) There are more than 12 boys in the class.
03 Jun 2018, 03:22
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As you said, number of boys passed should be integer so based on the same logic number of girl passed should be integer.
let number of boys are B and number of girls are G
B+G = 36
1) 70% of boys passed the exam. So 0.7B should be integer. B should be multiple of 10
12.5 % of girls passed. 0.125G should be integer. G should be multiple of 8.
only one such value exist for B and G for which B+G = 36. B = 20 and G = 16
So Ans A
let number of boys are B and number of girls are G
B+G = 36
1) 70% of boys passed the exam. So 0.7B should be integer. B should be multiple of 10
12.5 % of girls passed. 0.125G should be integer. G should be multiple of 8.
only one such value exist for B and G for which B+G = 36. B = 20 and G = 16
So Ans A
General Discussion
03 Jun 2018, 06:03
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let b: Total number of boys
g: Total number of girls.
As per the question, b+g =36.
statement 1:
70% of boys passed the exam. so b has to be a multiple of 10 (for it to be an integer) so b could be 10/20/30.
similarly, only 12.5% girls passed the exam. so, g has to be a multiple of 8(12.5/100=1/8).
now try with different b+g combinations.
case1 :
when b =10, g =26 ---doesn't satisfy as b is not multiple of 8.
case 2 :
when b=20 ,g=16 --- satisfies
case 3:
when b =30,g=6 ---doesn't satisfy as b is not multiple of 8.
hence a is sufficient.
g: Total number of girls.
As per the question, b+g =36.
statement 1:
70% of boys passed the exam. so b has to be a multiple of 10 (for it to be an integer) so b could be 10/20/30.
similarly, only 12.5% girls passed the exam. so, g has to be a multiple of 8(12.5/100=1/8).
now try with different b+g combinations.
case1 :
when b =10, g =26 ---doesn't satisfy as b is not multiple of 8.
case 2 :
when b=20 ,g=16 --- satisfies
case 3:
when b =30,g=6 ---doesn't satisfy as b is not multiple of 8.
hence a is sufficient.
