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Pavan

· started a discussion

· 1 Months ago

How the answer is 20? (Question: 129355.1 )

Ratio of students speaking only Hindi & only English is 21:16
Ratio of boys & girls speaking only English is 3:5
So
Now girls speaking only English would be = 5/8 *16 which = 10?

Question:

DIRECTIONS: Answer the questions on the basis of the information given below.


In class of 84 students the boys and girls are in the ratio 5 : 7 respectively. Among the girls 7 can speak Hindi and English. 50 per cent of total students can speak only Hindi. The ratio between the number of students speaking only Hindi and only English is 21: 16 respectively. The ratio between the number of boys and girls speaking English only is 3 : 5. The number of boys is 75% of the number of girls is speaking only hindi.

What is the total number of girls who speak English only?

Options:
A) 12
B) 20
C) 22
D) Cannot be determined
E) None of these
Solution:

Ans: (b) Number of boys in the class = \(\cfrac{5}{12}\times 84 = 35 \)

 

Number of girls in the class = \(\cfrac{7}{12}\times 84 = 49 \)

Number of girls speaking Hindi and English both = 7

50% i.e., 42 students speak Hindi alone Number of students who speak English only = 32, as the ratio of students speaking Hindi and English only = 21: 16

Number of girls who speak English only = 20 Number of boys who speak English only = 12 Number of girls who speak Hindi only = 22 Number of boys who speak both languages

= 35 - 32 = 3.

Knowledge Expert

· commented

· 1 Months ago

Dear student,
Please read the solution properly.
Keep learning,
Team TR

paramasivam

· commented

· 1 Months ago

HI
Here 21:16 is the ratio. so Don't calculate by using ratio. Find out the total English speaking students then calculate the same.
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