ExamAdept

8 men and 14 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many more days will be required to complete the work?
I.	19 men and 12 women together can complete the work in 18 days.
II.	16 men can complete two-third of the work in 16 days.
III.	In 1 day, the work done by three men in equal to the work done by four women.

A:

I only

B:

II only

C:

III only

D:

I or II or III

Answer: D

Clearly, I only gives the answer.

Similarly, II only gives the answer.

And, III only gives the answer.

Correct answer is (D).

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How many workers are required for completing the construction work in 10 days?
I.	20% of the work can be completed by 8 workers in 8 days.
II.	20 workers can complete the work in 16 days.
III.	One-eighth of the work can be completed by 8 workers in 5 days.

A:

I only

B:

II and III only

C:

III only

D:

I and III only

Answer: E

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).

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In how many days can 10 women finish a work?

I.

10 men can complete the work in 6 days.

II.

10 men and 10 women together can complete the work in 3	3	days
	7

III.

If 10 men work for 3 days and thereafter 10 women replace them, the remaining work in completed in 4 days.

A:

Any two of the three

B:

I and II only

C:

II and III only

D:

I and III only

Answer: A

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).

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How long will Machine Y, working alone, take to produce x candles?
I.	Machine X produces x candles in 5 minutes.
II.	Machine X and Machine Y working at the same time produce x candles in 2 minutes.

A:

I alone sufficient while II alone not sufficient to answer

B:

II alone sufficient while I alone not sufficient to answer

C:

Either I or II alone sufficient to answer

D:

Both I and II are not sufficient to answer