# Free Ratio and Proportion 02 Practice Test - 6th grade

### Question 1

If two ratios are equal then we say that they are

#### SOLUTION

Solution :If two ratios are equal or equivalent then we say that they are in proportion.

### Question 2

If two quantities have different units then we can compare them by using the method of ratio.

True

False

#### SOLUTION

Solution :B

If two quantities have different units then we cannot compare them by the method of ratio. A ratio is a method of comparison of two similar quantities by using the method of division.

### Question 3

A bag contains 2 pink, 3 red and 5 blue balls. Find the ratio of pink balls to the total number of balls.

5:1

1:5

10:2

2:10

#### SOLUTION

Solution :B and D

Number of pink balls = 2

Total number of balls = 2 + 3 + 5 = 10

∴ Ratio of pink balls to the total number of balls

=2:10=210=15=1:5

### Question 4

The length of a table is 2 m and its breadth is 50 cm. Find the ratio of the length of the table to its breadth.

4:1

200:50

1:4

50:200

#### SOLUTION

Solution :A and B

We know, to compare two quantities, the units must be the same.

So, here we either convert meter to a centimeter or vice-versa.

Given,

Length of the table = 2 m = 200 cm

Breadth = 50 cm

Hence, the required ratio

=200:50=20050=41=4:1

### Question 5

The length of a rope is 2 m and its diameter is 1 mm. Find the ratio of length of the rope to its diameter.

200:1

2000:1

1:2000

2:1

#### SOLUTION

Solution :B

The ratio is the method of comparison between two similar quantities having the same unit.

Length = 2 m = 2000 mm and diameter = 1 mm

Hence ratio of the length of rope to its diameter is

20001 =2000:1

### Question 6

Which of the following ratios are in proportion?

2:3 and 4:5

4:5 and 12:15

3:1 and 9:1

3:4 and 6:4

#### SOLUTION

Solution :B

Two ratios are said to be in proportion if they are equivalent or equal.

Here,

45=4×35×3=1215

Hence, 4 : 5 :: 12 : 15, are in proportion.

Also product of 1st and 4th term should be equal to product of 2nd and 3rd term, which is only satisfied by 4 : 5 :: 12 : 15, i.e.,

4×15=5×12=60.

For rest of them the product of 1st and 4th term is not equal to the product of 2nd and 3rd term.

### Question 7

If a dozen of bananas cost ₹ 24, while 10 apples cost ₹ 100, then how many times an apple is costlier than a banana?

Three times

Four times

Five times

They have the same price

#### SOLUTION

Solution :C

The cost of 12 bananas = ₹ 24,

So, the cost of one banana =

₹ 2412=₹ 2

The cost of 10 apples = ₹ 100,

So, the cost of one apple =

₹ 10010=₹ 10

Therefore, the ratio of the cost of an apple to that of a banana = ₹ 10 : ₹ 2 = 5 : 1.

So, an apple is five times costlier than a banana.

### Question 8

Shekhar made 96 runs in 6 overs while Nitish made 102 runs in 6 overs. Then pick the correct statement.

Shekhar's run rate was 16 runs per over

Nitish's run rate was 15 runs per over

Nitish's run rate was lesser than that of Shekhar

#### SOLUTION

Solution :D

Shekhar's run rate = 966=16 runs per over .

Nitish's run rate = 1026=17 runs per over .

Hence Nitish's run rate is greater than that of Shekhar.

### Question 9

The cost of 20 envelopes is **₹**50. How many envelopes can be purchased for **₹**10?

1

2

3

4

#### SOLUTION

Solution :D

The cost of 20 envelopes =

₹50.

∴ The cost of one envelope

=5020

=₹2.5

One envelope costs₹2.5.

So, for₹10, the number of envelopes that can be purchased is equal to 102.5=4

### Question 10

Find the fourth proportion to 1.2, 1.6 and 7.2.

9.6

6.9

5.4

2.6

#### SOLUTION

Solution :D

Let the fourth proportion be x.

Then, 1.2, 1.6, 7.2, x are in proportion.

Product of means = Product of extremes

⇒1.6×7.2=x×1.2

⇒ 1.2x=1.6×7.2

⇒ x=1.6×7.21.2

⇒ x=9.6