Verbal Reasoning - Arithmetic Reasoning - Discussion

Discussion :: Arithmetic Reasoning - Section 1 (Q.No.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 ?

[A]. 2/13
[B]. 13/40
[C]. Data inadequate
[D]. None of these

Answer: Option C


No answer description available for this question.

Rawat said: (Aug 25, 2011)  
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".

Abhishek said: (Sep 2, 2011)  
Suggest me if this logic is wrong.

Let there are 5 girls and 8 boys.
Then total no students=13

No of girls participated =1
No of boys participated =1.

So, Total participation =2.
Thus, ratio=2/13.

Jojo Negi said: (Sep 12, 2011)  
I think you are right Sundar, I have seen this question before where the answer was 2/13.

Sundar said: (Sep 12, 2011)  
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".

Arun said: (Nov 20, 2011)  
All the above are correct. Data is inadequate.

Sajan said: (Nov 21, 2011)  
Data is inadequate because 1/5 of does not mean that gals are only 5. Same is in boys also.

Salai said: (Jan 5, 2012)  
Sajan is correct. They dint give the total number of students. So data inadequate.

Manika said: (Jan 18, 2012)  
According to my opinion it should be 13/40, because

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

because the question only ask about the What fraction of the total number of students took part in the fete?.

Harshita said: (Jan 19, 2012)  
Ya Manika, I agree with u. Why we supposing the number?

Question is only about the total numbers.......

Amala said: (Jan 24, 2012)  
According to my option it should be 13/40, because

Askari said: (May 15, 2012)  
According to me its 13/40.

Rajiv said: (Jul 30, 2012)  
Manika, Harshita the Answer is "Data Inadequate", because for answer to be correct, it has to be true for all values. But here it changes with values. Option A. Total girls 5, Total Boys 8, answer is 2/13, but Option B, 5 girls and 16 boys, it comes 3/21 which is equivalent to 2/14 (completely diff. from 2/13 derived earlier.

Kannan said: (Aug 22, 2012)  
Out of 5 girls one girl participated, out of 8 boys one boy participated. so out of 13 students 2 students participated.
Therefore ans is 2/13.

Siddique said: (Feb 2, 2013)  
According to me,

Let a=1/5 b=1/8
LCM =40.


= 8/40+5/40 = 13/40.

Sachin said: (Jun 5, 2013)  
Siddique's method of taking LCM and getting the total number is correct. I have seen in many forums of this kind of strategy especially.

Hari said: (Jul 5, 2013)  
According to me answer is 13/40.

Jitendra said: (Aug 14, 2013)  
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.

Sagili Ramanareddy said: (Aug 19, 2013)  
Suggest me if this logic is wrong:

If X is the boys and Y is girls ,and also given 1/5 of boys and 1/8 of girls. Here but not given total number of students participated in that fete
(1/5)x+(1/8)y=? So I think answer is "C".

Sneha said: (Sep 3, 2013)  
1/5 of girls i.e 20% of girls participated.

1/8 of boys i.e 12.5% of boys participated.

Total participation = 20+12.5= 32.5% i.e 13/40.

Jim said: (Sep 23, 2013)  
LCM method cannot be used here. The fractions are given for different genders. So LCM cannot be taken.

And Sneha, percentages can never be added.

Suppose they had given 4/5 of girls and 7/8 of boys participated. Would you add 80% and 87.5% and say 167.5% of the students attended? PERCENTAGES CANNOT BE ADDED.

Lokesh said: (Nov 23, 2013)  
We can't write the human's in fraction.

Gotkhar said: (Nov 26, 2013)  
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}.

Vaibhav said: (May 20, 2014)  
What fraction ?

(1/5)+(1/8) = 8+5/5*8 = 13/40.

This is correct answer if only asked to find fraction.

Bhavana said: (Jun 3, 2014)  
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'.

Vanessa said: (Jun 27, 2014)  
There is no saying of the total number of students, so the answer is C, there is inadequate information.

Devi said: (Jul 20, 2014)  
According to the fraction point my answer is 13/40 but there is no particular information about students so the C is answer.

G.Priyanka said: (Jul 30, 2014)  
There is no saying of the total numbers of students. So the answer is C, there is inadequate information.

Ashwin said: (Oct 15, 2014)  
Take total boys as 10 and total girls as 16 for easier calculation. So total strength is 26.
Calculate ratio of boys and girls participated and add them. And find fraction to 26.

You will get 2/13.

Anum said: (Oct 31, 2014)  
2/13 is good answer because he talked about two groups and said find total simple add 2 group and there sum is 2/13.

Rishi Kumar Dubey said: (Nov 10, 2014)  
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.

Dhananjay Singh said: (Nov 20, 2014)  

I love the way you added %age of boys and %age of girls to find out the total %age of participation. As per your logic if total boys and total girls participate the fete then total participation will turn to 200% just a minor increase of 100%.

Dilip Kumar said: (Apr 27, 2015)  
My answer is different because,

Let total is x.

x/5+x/8 = 13x/40 taken LCM. But we want fraction.

So, x/13x/40 = 40/13.

My answer is none of these.

Aroon Kumar said: (Aug 7, 2015)  
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'.

Dinesh Choudhary said: (Sep 2, 2015)  

Boys participation = 20%.

Girls participation = 12.5%.

Total participation = 32.5% = 32.5/100 = 13/40.

G Rafi said: (Sep 9, 2015)  
Boys participation = 1/8.

Girls participation = 1/5.

According to 1/8+1/5.

13/40 answer.

Pratyu said: (Sep 22, 2015)  

Piyush said: (Sep 29, 2015)  
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.

Navdeep said: (Nov 6, 2015)  
I agree with option B.

Because here the no. of girls are participated is 1/5.

And no. of boys are participated is 1/8.

And here ask what is the fraction of students that are participated.

So, 1/5+1/8 is equal to 13/40.

By taking L.C.M. of 1/5+1/8.

Ravi said: (Dec 19, 2015)  
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.

Jessica said: (Jan 23, 2016)  
1/5*8/8=8/40 ---- 1/8*5/5=5/40 $$ 5/40+8/40=13/40 (this formula is called fraction by inspection). Basic maths.

John said: (Feb 25, 2016)  
All of the above do not address the fact that the boys and girls of the "institute" may include non "students" or adults if "boy" and "girls" is meant to distinguish from non-juvenile students. Sloppy questions can often lead to ambiguities and so many answers.

Yash Gupta said: (Mar 27, 2016)  
According to me answer is :
Girls = 1/5.
Boys = 1/8.

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

The correct answer is 13/40.

Udas Bugti said: (Apr 20, 2016)  
According to me answer is :

Girls participated = 1/5.
Boys participated = 1/8.

It's very simple, it just asking about the total num of participated student,but not 4 total students.

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

The correct answer is 13/40.

If they asked about total students then the correct answer is inadequate.

Nalinikanta said: (May 17, 2016)  
According to the question, we are not informed regarding the total no of students.

So, let total no of students = x.
No of girls participated = x/5
No of boys participated = x/6

So, total no of students participated = 13x/40, then a fraction of the original number of students obtained = 13x/40 * 1/x = 13/40.

Vishal said: (May 30, 2016)  
I think the answer is 13/40 because according to my options:

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

Then, how the answer should be Data not adequate?

Gangadhri said: (Jun 6, 2016)  
The correct answer is 2/12 because the total no of girls = 5, participated girls = 1 and total no of boys = 8 participated boys = 1.

So total no of students = 13 particepated students= 2.
Then by the fraction it is = 2/13.

Atul said: (Jul 29, 2016)  
Yeah, data inadequate. According to me. There should be a ratio of No of girls and No of boys.

Phoenix said: (Sep 6, 2016)  
Can anyone tell me how could we know the fraction by having ratio of girls to ratio of boys?

Syamily said: (Oct 22, 2016)  
I think 1/5 + 1/8 (cross multiplication) = 8 + 5/40 = 13/40.

Rekha said: (Oct 26, 2016)  
According to me, option a is correct.

Malay Pandey said: (Oct 29, 2016)  
According to me, it is 13/40 as it has asked us the total no of boys and girls participating in the fete.

So we can solve as.
1/5 girls + 1/8 of boys = total no of students participated in that fete.

Adding we would get 13/40 or OPTION B.

Puja Patil said: (Nov 10, 2016)  
According to the given question.

Consider x = total no of fete.
Girls = 1/5,
Boys = 1/8,
x = 1/5 + 1/8,
x = 8 + 5/40,
x = 40.

Anil said: (Dec 10, 2016)  
1/5& 1/8.
Lcm 40 and 8 + 5 = 13 then the answer is 13/40.

Parusharam said: (Dec 14, 2016)  
My option also 13/40. If we see the percentage based.

Manikandan said: (Dec 29, 2016)  
You are correct @Manika.

Amit Chetry said: (Jan 2, 2017)  
I think you are correct @Malay.

Dhanesh said: (Jan 22, 2017)  
Yes, you are correct @Parusharam.

Joshua said: (Jan 26, 2017)  
According to me, the answer is 13/40.

Lilyana said: (May 9, 2017)  
Yes, I agree @Manika.

Bin Yamin said: (Jun 10, 2017)  
Let total number of girls in the institute=x.
Total number of boys=y.
Girls participate 1/5 of x and boys participate 1/8 of y
Which becomes
8x+5y/40 is correct answer.
which is not found in the given answer.
Therefore inadequate.

Devansh said: (Aug 19, 2017)  
Let the total no of students be x.


No of student = 13/40(as x will be cancel from both side).

Chandini said: (Sep 16, 2017)  
According to the question.


Srikanth Naik said: (Oct 11, 2017)  
x=1/5:y=1/8, x+y=1/5+1/8=5+8/40=13/40 is answer.

Shabir Ali Shah said: (Oct 26, 2017)  
According to my opinion, it should be 13/40.

B/C 1/5+1/8=x
==> 5+8/40=x.

Hence 13/40 is the right answer.

Udit said: (Feb 21, 2018)  
According to me, it is 13/40 as it has asked us the total no of boys and girls participating in the fete.

So we can solve as:

1/5 girls + 1/8 of boys = total no of students participated in that fete.

Adding we would get 13/40 or OPTION B.

Jaydip said: (May 18, 2018)  
Say for Example total student is X. We have to assume as this number is not given;

Now, Boys participated = X/8,
Girls Participated = X/5,
Total Number of student participated = X/8 +X/5 = 13X/40,
Here if you dont know X you wil never be able to know value fo total number of student participated.
Thus data inadequate.

Yaseen said: (Jun 13, 2018)  
BOYS = 1/8 AND GIRLS = 1/5.

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

Muhanad said: (Aug 14, 2018)  
I think it is 2/13.

Pranjal said: (Oct 17, 2018)  
It is data inadequate as no ratio is given here.

Kiran Kumar said: (Oct 19, 2018)  
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.

Shatarchi said: (Jan 14, 2019)  
A total number of students participated = no of girls + no of boys given.
So, 1/5 + 1/8 = 13/40.

D.Anjaneyulu said: (Feb 13, 2019)  
According to me, it is 13/40.

Gayathri said: (Sep 6, 2019)  
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.

Dahliya said: (Aug 17, 2020)  
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.

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