EASY

CAT

IMPORTANT

Earn 100

Gunpowder can be prepared by saltpetre and nitrous oxide. Price of saltpetre is thrice the price of nitrous oxide. Notorious gangster Kallu Bhai sells the gun-powder at $₹ 2160$ per $10$ $gm$ , thereby making a profit of $20 % .$ If the ratio of saltpetre and nitrous oxide in the mixture be $2 : 3$ , find the cost price of saltpetre.

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Important Questions on Ratio, Proportion and Variation

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 1

p, q, r, s

are proportional, then

\frac{(p - q) (p - r)}{p} =

_____.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 2

What number must be added in each term of the fraction

\frac{7}{31}

, so that it may become

\frac{5}{17}

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 8

Divide

₹ 5000

among

A, B, C

and

D

, so that

A

and

B

together get

\frac{3}{7}

of what

C

and

D

get together,

C

gets

1.5

times of what

B

gets and

D

gets

\frac{4}{3}

times as much as

C

. Then, the share of

B

is _____.

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 18

Two boxes A and B were filled with a mixture of rice and dal—in A in the ratio of

5 : 3

, and in B in the ratio of

7 : 3

. What quantity must be taken from the first to form a mixture that shall contain

6 kg

of rice and

3 kg

of dal?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 21

Two cubes of bronze have their total weight equivalent to

60 kg

. The first piece contains

10 kg

of pure zinc and the second piece contains

8 kg

of pure zinc.What is the percentage of zinc in the first piece of bronze if the second piece contains

15

percent more zinc than the first?

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 23

From a vessel filled up with pure spirit to the brim, two litres of spirit was removed and

2

litres of water were added. After the solution was mixed,

2

litres of the mixture was poured off and again

2

litres of water was added. The solution was stirred again and

2

litres of the mixture was removed and

2

litres of water was added. As a result of the above operations, the volume of water in the vessel increased by

3

litres than the volume of spirit remaining in it. How many litres of spirit and water were there in the vessel after the above procedure was carried out?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 24

There are two qualities of milk-Amul and Sudha having different prices per litre, their volumes being

130

litres and

180

litres respectively. After equal amounts of milk was removed from both, the milk removed from Amul was added to Sudha and vice-versa. The resulting two types of milk now have the same price. Find the amount of milk drawn out from each type of milk?

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 25

Assume that the rate of consumption of coal by a locomotive varies as the square of the speed and is $1000$ kg per hour when the speed is $60$ km per hour. If the coal costs the railway company $₹ 15 / 100$ Kg and if the other expenses of the train be $12$ per hour, find a formula for the cost in paise per kilometre when the speed is $S$ km per hour.

Important Questions on Ratio, Proportion and Variation

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