Verbal Reasoning - Arithmetic Reasoning - Discussion

Discussion Forum : Arithmetic Reasoning - Section 1 (Q.No. 3)
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:
82 comments Page 7 of 9.

GOTKHAR said:   1 decade ago
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}.

Lokesh said:   1 decade ago
We can't write the human's in fraction.

Jim said:   1 decade ago
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.

Sneha said:   1 decade ago
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.

SAGILI RAMANAREDDY said:   1 decade ago
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".

Jitendra said:   1 decade ago
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.

Hari said:   1 decade ago
According to me answer is 13/40.

Sachin said:   1 decade ago
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.

Siddique said:   1 decade ago
According to me,

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

a=1/5*8/8=8/40.
b=1/8*5/5=5/40.

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

Kannan said:   1 decade ago
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.


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