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Q:

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?

A) 1	B) 1/40
C) 40	D) 80

Answer & Explanation Answer: C) 40

Explanation:

Let the required number of days be x.

Less cows, More days (Indirect Proportion)

Less bags, Less days (Direct Proportion)

$c o w s 1 : 40 : 40 : x b a g s 40 : 1 : 40 : x$

1 x 40 x x = 40 x 1 x 40

=> x = 40.

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Q:

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:

A) 4	B) 9
C) 12	D) 49

Answer & Explanation Answer: B) 9

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*21/14 => x=9

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Q:

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) 50	B) 40
C) 30	D) 20

Answer & Explanation Answer: C) 30

Explanation:

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 = $(\frac{120}{200}) 50$ =30men

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Q:

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) 16	B) 12
C) 8	D) 4

Answer & Explanation Answer: A) 16

Explanation:

Let the required number of bottles be x.

More weavers, More mats (Direct Proportion)

More days, More mats (Direct Proportion)

$w e a v e r s 4 : 8} : 4 : x d a y s 4 : 8} : 4 : x$

4 x 4 x x = 8 x 8 x 4

=> x = $\frac{8 * 8 * 4}{4 * 4}$

=> x = 16.

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Q:

A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:

A) 29/5	B) 37/4
C) 42	D) 54

Answer & Explanation Answer: C) 42

Explanation:

After 10 days : 150 men had food for 35 days.

Suppose 125 men had food for x days.

Now, Less men, More days (Indirect Proportion)

125 : 150 :: 35 : x => 125 x x = 150 x 35

=>

=> x = 42.

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Filed Under: Quantitative Aptitude - Arithmetic Ability

Q:

If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?

A) Rs. (xy/d)	B) Rs. (xd)
C) Rs. (yd)	D) Rs. (yd/x)

Answer & Explanation Answer: D) Rs. (yd/x)

Explanation:

Cost of x metres = Rs. d.

Cost of 1 metre = Rs.(d/x)

Cost of y metres = Rs.[(d/x).y] = Rs.(yd/x)

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Q:

If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?

A) 48 paise	B) 54 paise
C) 56 paise	D) 72 paise

Answer & Explanation Answer: A) 48 paise

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 = 48.

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Filed Under: Quantitative Aptitude - Arithmetic Ability

Q:

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 & Explanation Answer: D) 16

Explanation:

Let the required number of bottles be x.

More weavers, More mats (Direct Proportion)

More days, More mats (Direct Proportion)

$W a v e r s 4 : 8 D a y s 4 : 8$ :: 4:x

4 x 4 x x = 8 x 8 x 4

=> x= $\frac{8 * 8 * 4}{4 * 4}$

=> x = 16.

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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