Proportions

Q.

Find the mean proportion of 8 and 18

1. 16

2. 26

3. 12

4. 22

Q.

Find the mean proportional between $\text{9}$ and $25$.

Q. The mean proportional between 9 and 16 is .

1. 8
2. 12
3. 16

Q.

Find the mean proportional between $\text{4 and 16}$.

Q.

Determine if the following are in proportion:

24, 28, 36, 48

Q.

15 : 40 can be written in the simplest form as ______

1. 2 : 3

2. 5 : 4

3. 8 : 3

4. 3 : 8

Q. A and B shared a profit of 24500 rupees in the proportion 3:7. Each of them gave 2% of his share of the profit to the Soldiers’ Welfare Fund. What was the actual amount given to the Fund by each of them?

Q.

Find the mean proportional of $16$ and $25$.

Q.

Find the mean proportional between $\text{7 and 28}$.

Q.

Ram earns Rs. 80 in 7 days and Hari Rs. 90 in 12 days. Find the ratio of their earnings.

1. 32 : 22

2. 22 : 21

3. 22:32

4. 32 : 21

Q.

8 is the third proportional to 2, 4 .

1. True

2. False

Q.

Find the mean proportion between $16$ and $36$.

Q.

Find the mean proportion of 4 and 64

1. 2 dozens : 4 dozens :: Rs 40 : Rs 80

2. All of these

3. 8 liters:16 liters:: Rs 25: Rs 50

4. 4 kg:20 kg:: Rs 50 : Rs 250

Q.

Find the mean proportion between $2$ and $8$

1. $24$

2. $4$

3. $32$

4. $64$

Q.

The mean proportional between $6and24$ is

1. $8$

2. $12$

3. $18$

4. $24$

Q.

Write true or false against each of the following statement: $0.9:0.36::10:4$

1. True
2. False

Q.

Find the mean proportional between:

$9and25$

Q.

Question 65

When Chimay visited Chowpati at Mumbai on a holiday, he observed that the ratio of North Indian food stalls to South Indian food stalls is 5 : 4. If the total number of food stalls is 117, find the number of each type of food stalls.

Q.

Find the mean proportion of 3 and 243

1. 9

2. 27

3. 243

4. 81

Q. Amrita takes 18 hours to travel 720 kilometres. What will be time taken by her to travel 360 kilometres?

Q.

Find the fourth proportional 1/3, 2/5and8.4

Q.

Question 120

What's the Error? A student said that the ratios $\frac{3}{4}and\frac{9}{16}$ were Proportional. What error did the student make?

Q. $P$ and $Q$ take $6$ hours and $8$ hours respectively to complete a work. $P$ works for $1$ hour and then $Q$ works for $2$ hours. How much work is done in $3$ hours?

1. $\frac{5}{12}$
2. $\frac{12}{7}$
3. $\frac{12}{5}$
4. $\frac{7}{12}$

Q. You know that to make 20 pancakes you have to use 2 eggs. How many eggs are needed to make 100 pancakes?

1. 10

Q.

Find the value of $x$, if the following is in proportion: $x,6,10,15$.

Q.

Find the mean proportional between $\text{5 and 125}$.

Q.

What is the value of $x$ when $5\frac{1}{2}:x::8\frac{1}{2}:\frac{1}{4}$?

1. $\frac{11}{69}$

2. $\frac{11}{68}$

3. $\frac{12}{68}$

4. $\frac{11}{78}$

Q.

Write true or false against each of the following statement: $5.2:3.9::3:4$

1. True
2. False

Q.

Find the mean proportional between $\text{9 and 144}$.

Q.

The cost of 16 bags of washing powder, each weighing 1.5 kg, is ₹ 672. Find the cost of 18 bags of the same, each weighing 2 kg.

1. ₹ 1008

2. ₹ 1338

3. ₹ 1128

4. ₹ 1000