ExamAdept

4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

A:

4

B:

8

C:

12

D:

16

Answer: D

Let the required number of bottles be x.

More weavers, More mats (Direct Proportion)

More days, More mats (Direct Proportion)

Wavers	4	:	8		:: 4 : x
Days	4	:	8		:: 4 : x

4 x 4 x x = 8 x 8 x 4

x =	(8 x 8 x 4)
	(4 x 4)

x = 16.

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36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?

A:

12

B:

18

C:

22

D:

24

Answer: D

Let the required number of days be x.

Less men, More days (Indirect Proportion)

27 : 36 :: 18 : x 27 x x = 36 x 18

x =	36 x 18
	27

x = 24.

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An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metres of cloth?

A:

178

B:

195

C:

204

D:

488

Answer: B

Le the required time be x seconds.

More metres, More time (Direct Proportion)

0.128 : 25 :: 1 : x 0.128x = 25 x 1

x =	25	=	25 x 1000
	0.128		128

x = 195.31.

Required time = 195 sec (approximately).

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In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?

A:

20

B:

30

C:

40

D:

50

Answer: B

There is a meal for 200 children. 150 children have taken the meal.

Remaining meal is to be catered to 50 children.

Now, 200 children 120 men.

50 children		120	x 50		= 30 men.
		200

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A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be:

A:

10 m

B:

12.5 m

C:

17.5 m

D:

21.25 m

Answer: B

Let the height of the building x metres.

Less lengthy shadow, Less in the height (Direct Proportion)

40.25 : 28.75 :: 17.5 : x 40.25 x x = 28.75 x 17.5

x =	28.75 x 17.5
	40.25

x = 12.5

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Questions for: Chain Rule