Aptitude - Chain Rule

Exercise : Chain Rule - General Questions
6.
A man completes of a job in 10 days. At this rate, how many more days will it takes him to finish the job?
5
6
7
7 1
2
Answer: Option
Explanation:

Work done = 5
8

Balance work = 1 - 5 = 3
8 8

Let the required number of days be x.

Then, 5 : 3 = :: 10 : x     5 x x = 3 x 10
8 8 8 8

x = 3 x 10 x 8
8 5

x = 6.


7.
If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?
48 paise
54 paise
56 paise
72 paise
Answer: Option
Explanation:

Let the required weight be x kg.

Less weight, Less cost (Direct Proportion)

250 : 200 :: 60 : x       250 x x = (200 x 60)

x= (200 x 60)
250

x = 48.


8.
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
1
1
40
40
80
Answer: Option
Explanation:

Let the required number of days be x.

Less cows, More days (Indirect Proportion)

Less bags, Less days (Direct Proportion)

Cows 1 : 40 :: 40 : x
Bags 40 : 1

1 x 40 x x = 40 x 1 x 40

x = 40.


9.
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
4
9
12
49
Answer: Option
Explanation:

Let the required number of revolutions made by larger wheel be x.

Then, More cogs, Less revolutions (Indirect Proportion)

14 : 6 :: 21 : x       14 x x = 6 x 21

x = 6 x 21
14

x = 9.


10.
If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
1
7
2
7
49
Answer: Option
Explanation:

Let the required number days be x.

Less spiders, More days (Indirect Proportion)

Less webs, Less days (Direct Proportion)

Spiders 1 : 7 :: 7 : x
Webs 7 : 1

1 x 7 x x = 7 x 1 x 7

x = 7.