Aptitude - Chain Rule - Discussion

Discussion Forum : Chain Rule - General Questions (Q.No. 3)
3.
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
648
1800
2700
10800
Answer: Option
Explanation:

Let the required number of bottles be x.

More machines, More bottles (Direct Proportion)

More minutes, More bottles (Direct Proportion)

Machines 6 : 10 :: 270 : x
Time (in minutes) 1 : 4

6 x 1 x x = 10 x 4 x 270

x = (10 x 4 x 270)
(6)

x = 1800.

Discussion:
29 comments Page 2 of 3.

Arun said:   5 years ago
It can also be more machines, Less Minutes (Indirect Proportion).

And Less Machine more minutes (Indirect Proportion). Right? Correct me If I am wrong.
(1)

Sandy said:   1 decade ago
More machines, More bottles (Direct Proportion)
More minutes, More bottles (Direct Proportion)

Please anybody explain me how evaluate proportions?

Jay Jethava said:   9 years ago
6 machines gives 270 bottles in 1 minute.

Therefore 1 machine in 1 minute = 270/6 = 90/2 = 45.

Now 10 machines in 4 minutes = 45 * 10 * 2 = 1800.

Souji said:   1 decade ago
Total bottles 270 for 6 machines in 1 minute...
for each machine...=270/6=45bottles...in 1mnt
for 10 bottles......45*10=450*4=1800..in 4mnts

Abhishek said:   1 decade ago
Hi all,
It's a technique to solve these type of questions, gre technique.

6 10 16.

45 45 45.
270 450 total.
450 in a min so in 4min 1800.

Sharath said:   5 years ago
6 machines = 270 (1min).
10 machines = ? (4min).
10 machines x 4 min = 40 machines (1 min).

Now cross multiply,
40x270/6 = 1800.
(11)

Umesh said:   1 decade ago
Production in 6 minutes = 270

Production in 01 minutes = 270/6

Production in 40 minutes = 270/6 *40 = 1800.

Ravi Kumar said:   1 decade ago
Simple:

When Indirect proportion: M1*D1*H1 = M2*D2*H2.

When Direct Proportion: M1*D2*H1 = M2*D2*H2.

Nids said:   1 decade ago
Simple way
6 - 270
10 - ?
= 450 bottles
Now 450 in 1 minute so in 4 minutes= 1800

Buddhika said:   1 decade ago
Machine. Minutes. Bottles.

1. 1. 45.
6. 1. 270.
10. 1. 450.
10. 4. 1800.


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