# an institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. what fraction of the total number of students took part in the fete ?

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## An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What fraction of the total number of students took part in the fete?

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Question

## An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What fraction of the total number of students took part in the fete?

**A**

## 2/13

**B**

## 13/40

**C**

## Data inadequate

**D**

## None of these

Medium Open in App Solution Verified by Toppr

Correct option is C)

Ans is "Data inadequate".

Suppose ther are 18 students (10 girls, 8 boys).

1/5 of 10=2 (girls).

1/8 of 8=1 (boy).

Total participation=2+1=3.

Total students=10+8=18.

Answer = 3/18 = 1/6.

Answer cannot be determined until we have the "Ratio of girls to boys".

For each different number of boys and girls, we get different answers. So we cannot obtain the required answers without knowing the ratio of boys and girls.

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## Arithmetic Reasoning Section 1

Discussion forum for Q. No. 3 of the Verbal Reasoning questions and answers section on "Arithmetic Reasoning Section 1". Discussion Page 1 of 8, sorted by Newest.

## Verbal Reasoning :: Arithmetic Reasoning - Discussion

Discussion Forum : Arithmetic Reasoning - Section 1 (Q.No. 3)

Arithmetic Reasoning

3.

An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What fraction of the total number of students took part in the fete ?

2/13 13/40 Data inadequate None of these Answer: Option Explanation:

No answer description is available. Let's discuss.

Discussion:

76 comments Page 1 of 8.

Anandhakrishnan said: 3 days ago Data Inadequate as;

1/5x+1/8y = x+y only one linear equation in two variables.

Sam said: 8 months ago

The correct option is C).

The answer is "Data inadequate".

Suppose there are 18 students (10 girls, 8 boys).

1/5 of 10=2 (girls).

1/8 of 8=1 (boy).

Total participation=2+1=3.

Total students=10+8=18.

Answer = 3/18 = 1/6.

The answer cannot be determined until we have the "Ratio of girls to boys".

For each different number of boys and girls, we get different answers. So we cannot obtain the required answers without knowing the ratio of boys and girls.

(1) Dahliya said: 3 years ago

The answer would be 2/13 cause the question asks for fraction and not the number of students, which will need the ratio of boys and girls.

Take for example since ratio is not given (which is not so necessary after all) I take the number of girls as 5 and boys 8 which gives me 13 students and out of that, 1 boy and 1 girl is participating hence 2/13.

(1) Gayathri said: 4 years ago

The ratio of girls is 1/5th not the total people for suppose if there r 30 girls then no.of girls participated is 6 and if no.of boys r 24 then 1/8th is 3 nd total participated is 9 and ratio would be 9/54 which is 1/6 so data is inadequate.

D.ANJANEYULU said: 4 years ago

According to me, it is 13/40.

(6) Shatarchi said: 4 years ago

A total number of students participated = no of girls + no of boys given.

So, 1/5 + 1/8 = 13/40.

(3) Kiran Kumar said: 4 years ago

Here the Hidden number is = Total number of Students.

You have to assume a number.

So, we multiply denominators and that should be the total number of students.

(1/5)*40 = 8. (1/8)*40 = 5, 8+5 = 13 Answer = 13/40. (2) Pranjal said: 4 years ago

It is data inadequate as no ratio is given here.

MUHANAD said: 5 years ago I think it is 2/13. YASEEN said: 5 years ago

BOYS = 1/8 AND GIRLS = 1/5.

BOYS + GIRLS=1/8+1/5=13/40.

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## An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What fraction of the total number of students took part in the fete? 2/(13) (b) (13)/(40) (c) Data inadequate (d) None of these

An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What fraction of the total number of students took

An institute organised a fete and

1 5 of the girls and 1 8

of the boys participated in the same. What fraction of the total number of students took part in the fete?

2 13 (b) 13 40

(c) Data inadequate (d) None of these

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Guys, does anyone know the answer?