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The incomes of Rahul, Saurav, and Sachin are in the ratio of $4 : 5 : 6$ respectively, and their spending are in the ratio of $6 : 7 : 8$ respectively. If Rahul saves one fourth his income, then the savings of Rahul, Saurav, and Sachin are in the ratio:

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Important Questions on Ratio, Proportion and Variation

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How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 9

a : b = c : d

, and

e : f = g : h

, then

(a e + b f) : (a e - b f) = ?

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How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 10

X

is an alloy of

A

and

B . Y

is an alloy containing

80 %

A, 4 %

B

and

16 %

C . A

fused mass of

X

Y

is found to contain

74 %

A, 16 %

B

, and

10 %

C

. The ratio of

A

B

X

is:

HARD

CAT

IMPORTANT

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

Shatabdi Express without its rake can go

36 km

in an hour, and the speed is diminished by a quantity that varies as the square root of the number of wagons attached. If it is known that with four wagons its speed is

24 k m / h

, the greatest number of wagons with which the engine can just move is

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How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 12

p

varies as

q

then

p^{2} + q^{2}

varies as

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How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 13

f (x) = \frac{x + 1}{x - 1}

,then the ratio of

x

f (y)

where y =

f (x)

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How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 14

Sahil employs

200

men to build a bund. They finish

\frac{5}{6}

of the work in

10

weeks. Because of some natural calamity not only does the work remain suspended for

4

weeks but also half of the work already done is washed away. After the calamity, when the work is resumed, only

140

men turn up. The total time in which the contractor is able to complete the work assuming that there are no further disruptions in the schedule is

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How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 15

Rahim covers a distance of

48 km

performed by train, bike and car in that order, the distance cov- ered by the three ways in that order are in the ratio of

8 : 1 : 3

and charges per kilometer in that order are in the ratio of

8 : 1 : 4

. If the train charges being

24

per kilometer, the total cost of the journey is

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How to prepare for Quantitative Aptitude for the CAT>Chapter 11 - Ratio, Proportion and Variation>Level of Difficulty>Q 16

A bag contains

25 paise, 50 paise and ₹ 1

coins. There are

220

coins in all and the total amount in the bag is

160

. If there are thrice as many

₹ 1

coins as there are

25

paise coins, then what is the number of

50 paise

coins?

The incomes of Rahul, Saurav, and Sachin are in the ratio of 4: 5: 6 respectively, and their spending are in the ratio of 6: 7: 8 respectively. If Rahul saves one fourth his income, then the savings of Rahul, Saurav, and Sachin are in the ratio:

Important Questions on Ratio, Proportion and Variation

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The incomes of Rahul, Saurav, and Sachin are in the ratio of $4 : 5 : 6$ respectively, and their spending are in the ratio of $6 : 7 : 8$ respectively. If Rahul saves one fourth his income, then the savings of Rahul, Saurav, and Sachin are in the ratio: