Aptitude - Chain Rule - Discussion

Discussion Forum : Chain Rule - General Questions (Q.No. 14)
14.
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
12
18
22
24
None of these
Answer: Option
Explanation:

Let the required number of days be x.

Less men, More days (Indirect Proportion)

27 : 36 :: 18 : x       27 x x = 36 x 18

x = 36 x 18
27

x = 24.

Discussion:
14 comments Page 1 of 2.

Jefferson said:   6 years ago
@Yash

Cross multiplication does not apply here.

First, You have to identify whether it's direct or indirect proportion.
In this case, it's indirect because more men take less time to complete a job compared to a few men.

Therefore we let no. of days 27men take be x
Men: days
36 : 18
27 : x.

But for indirect proportion XY=constant.
36*18 =27*x.
Hence x = 36*18/27.
Thus x=24.
(1)

Yash said:   8 years ago
Why we can not do cross multiplication? please explain.

POORNI said:   8 years ago
How to find direct and indirect proportion? Please explain this.

Vinod Chavan said:   9 years ago
36 men - 18 days.
27 men - ?.

x = 36 x 18.
27.

Answer is x = 24.

Rajkumar said:   1 decade ago
@Snehal.

Just think in normal way if it is cross multiplying the answer is 13 (APPROX) , as men decrease days should increase it is not happening. So above explanation is true.

Priya said:   1 decade ago
Let no of days be x.
36 men do work in 18 days.
27 men do work in x days.

As no of men decrease Therefore,
Days increases so,
x = 18*36/27 = 24.

Udaya said:   1 decade ago
36 men 18 days= 1 (work)
1 man 1 day=1/36*18
=>1/648
Hence, 27 men=1/648*27=1/24 days.
1/24 is 1 day work of 27 men.
So 27 men complete the work in 24 days.

Parmeshwar mathpati said:   1 decade ago
But if we do it like this,

36 men - 18 days.

27 men - ?.

By cross multiplication, the answer will be different.

Shobhit said:   1 decade ago
36 men 1 day work = 1/18
1 men 1 day work = 1/18 *1/36
now 27 men 1 day work = 1/18 * 1/36 *27

multiply and cancel u will get 24 ...easy/.

Davinder said:   1 decade ago
please give exoplanation fully.........
i am agree with snehal


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