Verbal Reasoning - Arithmetic Reasoning - Discussion

Data Inadequate. Because it is said that 1/5 of the girls and i/8 of the boys. Here no clue available to find the total number of students. If LCM is when found it would be 40. but this 40 is not the total of students.

As 1/5 of girls = 8/40 of girls, here 40 is only total number of girls not the total number of students. The same way 1/8 of boys = 5/40 of boys. so the total number of boys and girls is 40+40=80.

The total number of boys and girls participated is 8+5=13. therefore desirable fraction as Hari thinks it to be 13/40 is 13/80.

13/80 is also not correct as total number of boys and girls cannot be found as some clues like ratio of the number of boys to that of girls is missing.

1/5 + 1/8 = 13/40 ratio is correct.

2/10 + 2/16 = 13/40 ratio is coming same.

3/15 + 3/24 = 13/40 ratio is again coming same.

1/x + 1/y = (x+y) /xy.

As 5 and 8 are co-primes.

400 students participated then 130 students participated.

800 students then 260 students participated.

There fore the answer 13/40 is correct as the total students fraction is asked not the ratio of the girls and boys is asked.

(we can distinguish girls and boys numbers separately from this question, that's all).

{this is just like asking; "2 bench and 3 desk together costing 100Rs, then 3 bench and 5 desk costing how much = 160}.

If we do view this as an LDM problem, then 13/40 would be correct.

1/5 girls = 8/40 girls.
= 13/40 total.
1/8 boys = 5/40 boys.

If 13/40 was correct, then the decimal. 325(13 divided by 40) when applied to any class size would provide the correct answer.

We know for a fact that:

= 1/5 girls.
= 2 children of 13 total.
= 1/8 boys.
= 13*0.325 = 4.225.

This conclusion is contrary to what we know to be true.

Therefore without knowing the total number of girls in the class and the total number of boys, it is impossible to determine an absolute fraction.

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.

Rawat and Abhishek examples are correct.

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.

So, from this we can conclude that "Data inadequate".

Note: Previously the answer was displayed ans 2/13 in this page. But after getting the suggestions from various math experts the answer has been updated to "Data inadequate".

Let number of boys be 80 and numbers of girls be 50.

Therefore, total number of students = 80 + 50 = 130.

Number of boys who participated in fete = 1/8*80 = 10.

Number of girls who participated in fete = 1/5*50 = 10.

Therefore, total numbers of students who participated in fete = 20.

Hence, the fraction of students participating in fete = 20/130 = 2/13.

So the answer is option A.

Let us consider that 1/5 girls are participating. That means overall 20% of girls are participating.

Similarly 1/8 boys are participating that means out of 100% only 12.5% boys are participating.

Total 12.5+20 = 32.5% candidate are participating out of 100% student than 32.

5/100 = 13/14 student are participating.

Answer is 13/14.

And I am sure about that.

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.

Given data.

1/5 of girls, let girls be 'a'.
1/8 of boys, boys be b'.

Participated from an institute in same.

That means let the total no of students in institute be 'x'.

Such that according to given data sum of boys n girls = x.

i.e. , a/5+b/8 = x.

=>8a+5b = 40x.

If the fraction is required then x = (8a+5b) /40.

So I agree with 'C'.

Here its given 1/5th of girls and 1/8th of boys.

If we consider (girls, boys) = (5, 8) or (10, 16) so on. We can get our answer as 2/13. But if someone considers (girls, boys) = (15, 16) we get our answer as 5/31.

So by this we cannot blindly decide the strength of boys and girls. Therefore we can opt for Option 'C' i.e., data inadequate'.