Answer :
Here the component days is having its one part missing and the given part of this i.e. 48 days, will be taken as base and will be compared individually with the other components.
When 40 men are working, it takes 48 days and when 48 men will work, they will take lesser days (more men, lesser days). So, numerator should be lesser.
When work is done for 16hrs- it takes 48 days, when it is done for 10hrs, more days will be taken (less hours, more days). So, numerator should be more. The answer would be 48 × (40/48) × (16/10) = 64 days.Hence, answer is 64 days.

Answer :
Originally there are 900 men having provisions for 70 days. After 34 days, 900 men would have eaten their share of 34 days. The remaining provision is for 70 –34 = 36 days. Now, when 300 men came, the total strength becomes 900 + 300 = 1200.
900 men have provision for 36 days, 1200 will have for how many days? (More men, lesser days). So, the answer would be 36 × 900/1200 = 27 days.Hence, answer is 27 days.

Answer :

men	work	days
300	1/4	100
?	¾ (remaining work)	200 (remaining days)

More work is there, more men are required (rule 2).
More days are remaining; fewer men are required (rule 1).
Total men required = 300 × (3/4) × (4/1) × (100/200) = 450
Now, 300 men are already there, so 450 – 300 = 150 additional men are required.Hence, answer is 150 men. 

Answer :
12m = 16w ⇒ 3m = 4w
⇒ 3 men are equal to 4 women i.e. lesser men are equal to more women.
9 men will be equal to 9×4/3 = 12 women.
Second part of the problem is 9 men and 12 women.
As calculated, 9 men are equal to 12 women and there are 12 women themselves.
So, the total number of women is 12 + 12 = 24.
Apply the chain rule as

Women	Days
16	12
24	?

More women, lesser days i.e. numerator should be smaller ⇒12× 16/24 = 8 days.Hence, answer is 8 days.

Answer :
Let there be m men in the beginning, who promised to do the job in 40 days.
But 12 became absent, means the remaining (m – 12) men did the job in 60 days.
The work is same ⇒40m = 60(m – 12) ⇒40m = 60m - 720 ⇒ m = 36.Hence, answer is 36 men.

Answer : 
Let the number of working hours per day be t hours. Therefore, Lenin Square was built in 2000 × 25 × t man hours = 50,000t man hours. If 2500 men work 2t/5 hours a day, they can build it in (2000 × 25 × t) / (2500 × (2t/5)) = 50 days. Hence, answer is 50 days.

Answer :
Let there be x number of people who do the work in 30 days. When there are x – 10 people, they do the work in 40 days. (x / (x-10)) = (40/30) (Note that it is not (40/30) , as the number of people working and the number of days it takes to finish the work are inversely proportional).So, 30x = 40x – 400 ⇒x = 40. Hence, answer is 40 days.

Answer :
Productivity of 10 men = Productivity of 12 women
⇒ Productivity of 1 man = Productivity of (12/10) women.
∴Productivity of (15 men + 6 women)
= Productivity of (15 + 6 × (10/12) ) men = Productivity of 20 men
If 10 men take 40 days, then 20 men will take (10/20) × 40 days = 20 days.
(Again note the inverse variance relationship used in computing the number of days). Hence, answer is 20 days.

Answer :

	Numbers	Hrs	Days
Programmer	10	16	25
Engineers	12	5	x

Also, 3E = 2P i.e. 12 E = 8P ⇒ 10 P × 16 × 25 = 12 E × 5 × x.
⇒10 P × 16 × 25 = 8P × 5 × x. Number of days = x = 100 days. Hence, answer is 100 days.

Answer :
Let the original number of men = x.
They were to complete the job in 50 days but as 6 of them became absent from the 1^st day. ∴ Men left = x – 6.
They will complete the work in 56 days. ∴ M1D1 = M2 D2
x × 50 = (x – 6) × 56 ⇒ x = 56. Hence, answer is 56 men

Answer :
Total number of persons required
=300 × (20/10) × (18/16) × (2/1) × (1/2) = 675
∴ Additional person required = 675 – 300 = 375. Hence, answer is 375 persons

Answer :
After 25 days, 35 men complete the work in 12 days. Thus, 35 men can finish remaining work in 12 days.
Therefore,30 men can do it in(12 x 15)/30 = 14 days, which is 1 day behind.
Hence answer is option 1.