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Rajdhani Express without its rake can go $54 km$ 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 $16$ wagons its speed is $30 km / h$ , the greatest number of wagons with which the engine can just move is

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Important Questions on Direct and Inverse Proportions

EASY

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

What is the ratio of mean proportional between

1.8

and

3.2

and the third proportional of

5

and

3

EASY

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

A car consumes

5.4 litres

of petrol to cover

60.48 km

, how many kilometres be covered with

22 litres

of petrol?

MEDIUM

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

(5 x + 2 y) : (10 x + 3 y) = 5 : 9

, then

(2 x^{2} + 3 y^{2}) : (4 x^{2} + 9 y^{2}) = ?

EASY

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

What is the ratio of mean proportional between

3.6

and

12.1

and third proportional between

2

and

11

EASY

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

A person carries $₹ 165$ in the form of currency notes of $₹ 5$ , $₹ 10$ and $₹ 20$ in the ratio of $3 : 2 : 1$ . What is the value of currency notes of $₹ 20$ denomination?

MEDIUM

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

Alloy

A

contains copper and zinc in the ratio of

4 : 3

and alloy

B

contains copper and zinc in the ratio of

5 : 2

A

and

B

are taken in the ratio of

5 : 6

and melted to form a new alloy. The percentage of zinc on the new alloy is close to:

MEDIUM

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

A sum is divided among

A, B, C

and

D

such that the ratio of the shares of

A

and

B

2 : 3

, that of

B

and

C

1 : 2

and that of

C

and

D

3 : 4

. If the difference between the shares of

A

and

D

₹ 648

, then the sum of their shares is:

EASY

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

A, B and C enter into a partnership by investing their capitals in the ratio of

\frac{2}{5} : \frac{3}{4} : \frac{5}{8}

. After

4 months

, A increased his capital by

50 %

but B decreased his capital by

20 %

. What is the share of B in the total profit of

₹ 2, 82, 100

at the end of a year?

EASY

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

Mr. Kamal buys 36 bananas for Rs. 20.52. How much money will be paid by him to buy 110 bananas?

(A) Rs. 62.60

(B) Rs. 62.90

(D) Rs. 62.70

EASY

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

The cost of 2 pencil, 4 pens and 8 erasers is Rs 12 and the cost of 8 pens, 10 pencils and 4 erasers is Rs 36. How much will 3 pencils,3 pens and 3 erasers cost?

EASY

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

What is the sum of the mean proportional between

10.8

and

4.8

and the third proportional of

2

and

4

MEDIUM

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

Rs.

730

were divided among

A

B

and

C

in such a way that if

A

gets Rs.

3

, then

B

gets Rs.

4

and if

B

gets Rs.

3.50

, then

C

gets Rs.

3

. The share of

B

exceeds that of

C

by:

MEDIUM

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

x

is subtracted from each of the numbers

20

37

54

and

105

, then the numbers so obtained in this order are in proportion. What is the mean proportional between

(7 x - 5)

and

(x + 1)

MEDIUM

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

A sum of

₹ x

is divided among

A

B

,and

C

such that the ratio of the shares of

A

and

B

6 : 7

and that of

B

and

C

3 : 2

. If the difference between the shares of

A

and

C

₹ 540

, then the value of

x

is;

MEDIUM

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

When the price of sugar increased by

28 %

, a family reduced its consumption per month such that the expenditure on sugar was only

12 %

more than the earlier one. If the family consumed

18.4 kg

of sugar per month earlier, then what is its new consumption of sugar per month?

EASY

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

A

\frac{1}{6}

C

, and

B

is twice of

A

, and the average of

A, B

and

C

30

, then the difference between

A

and

C

is:

EASY

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

A sum (in

Rs

) is distributed between

A, B

and

C

in the ratio

9 : 6 : 11

. If

A

gives

Rs . 500

from his share to

C

, the ratio of shares of

A, B

and

C

becomes

4 : 3 : 6

. What is the sum of shares (in

Rs

) of

B

and

C

, in the beginning?

MEDIUM

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

Two numbers are in the ratio

3 : 5

. If

13

is subtracted from each, the new numbers are in the ratio

10 : 21

. If

15

is added to each of the original number, then the ratio becomes:

MEDIUM

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

What is that number, which is when added to

7, 16, 43, 79

these numbers become proportional?

HARD

Mathematics>Algebra>Direct and Inverse Proportions>Direct Proportion

There are two candles of same length and same size. Both of them burn at uniform rate. The first, one burns in

5

hours and the second one burns in

3

hours. Both the candles are lit together. After how many minutes the length of the first candle is

3

times that of the other?

Rajdhani Express without its rake can go 54 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 16 wagons its speed is 30 km/h, the greatest number of wagons with which the engine can just move is

Important Questions on Direct and Inverse Proportions

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