Aptitude - Time and Work

Answer: Option B

Explanation:

  I. (10 x 6) men can complete the work in 1 day.

1 man's 1 day's work =	1
	60

II.		10 x	24		men +		10 x	24		women can complete the work in 1 day.
			7					7

		240		men's 1 day work +		240		women's 1 day work = 1.
		7				7

		240	x	1		+		240		women's 1 day's work = 1.
		7		60				7

		240		women's 1 day's work =		1 -	4		=	3
		7					7			7

10 women's 1 day's work =		3	x	7	x 10		=	1
		7		240				8

      So, 10 women can finish the work in 8 days.

III. (10 men's work for 3 days) + (10 women's work for 4 days) = 1

      (10 x 3) men's 1 day's work + (10 x 4) women's 1 day's work = 1

      30 men's 1 day's work + 40 women's 1 day's work = 1

      Thus, I and III will give us the answer.

      And, II and III will give us the answer.

      Correct answer is (A).

Answer: Option C

Explanation:

I.	20	work can be completed by (8 x 8) workers in 1 day.
	100

   Whole work can be completed by (8 x 8 x 5) workers in 1 day.

=	8 x 8 x 5	workers in 10 days = 32 workers in 10 days.
	10

 II. (20 x 16) workers can finish it in 1 day.

	(20 x 16)	workers can finish it in 10 days.
	10

   32 workers can finish it in 10 days.

III.	1	work can be completed by (8 x 5) workers in 1 day.
	8

   Whole work can be completed by (8 x 5 x 8) workers in 1 day.

=	8 x 5 x 8	workers in 10 days = 32 workers in 10 days.
	10

Any one of the three gives the answer.

Correct answer is (E).