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pushpitkc
The ratio of boys and girls in a class was 11:17. If 7 boys and 3 girls were added to the class,
which of the following can be the new total number of students in the class

A. 28
B. 35
C. 59
D. 94
E. 119

Source: Experts Global

Let the common ratio be x, so total students before addition = 11x+17x = 28x
New students added = 7+3 =10
So total = 28x+10...
Thus if you subtract 10 from each choice, the correct answer should be multiple of 28..
Now 28x+10 will be EVEN, so B, C and E out..
28x+10=28......28x=18... integer value of x NOT possible
28x+10=94....28x=84.....x=3...so possible

D
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pushpitkc
The ratio of boys and girls in a class was 11:17. If 7 boys and 3 girls were added to the class, which of the following can be the new total number of students in the class

A. 28
B. 35
C. 59
D. 94
E. 119

Source: Experts Global
7 boys and 3 girls were added to the class = 10 students were added

Now, check the options,

Given Option - 10 must be divisible by 28

(A) 28 - 10 = 18 Not divisible by 28
(B) 35 - 10 = 25 Not divisible by 28
(C) 59 - 10 = 49 Not divisible by 28
(D) 94 - 10 = 84 Divisible by 28
(E) 119 - 10 = 109 Not divisible by 28

Answer must be (D)

rohanramgude10

X ki value put kro fraaand aur option check kro

rohanramgude10 : English is the Official Forum Language, please communicate in English only.
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pushpitkc
The ratio of boys and girls in a class was 11:17. If 7 boys and 3 girls were added to the class, which of the following can be the new total number of students in the class

A. 28
B. 35
C. 59
D. 94
E. 119

Source: Experts Global

Number of Boys = 11k
Number of Girls = 17k
Number of students = 28k

New Number of Boys = 11k + 7
New Number of Girls = 17k + 3

Total number of students = 28k + 10

Total number of students = {38, 66, 94, ....}

IMO D
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