**CBSE Class 7 Maths – MCQ and Online Tests – Unit 2 – Fractions and Decimals**

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**CBSE Class 7 Maths – MCQ and Online Tests – Unit 2 – Fractions and Decimals**

Question 1.

what is \(\frac { 1 }{ 2 } \) of \(\frac { 10 }{ 7 } \) ?

(a) \(\frac{5}{7}\)

(b) \(\frac{3}{7}\)

(c) \(\frac{6}{7}\)

(d) \(\frac{4}{7}\)

## Answer

Answer: (a) \(\frac{5}{7}\)

Hint:

\(\frac{1}{2}\) of \(\frac{10}{7}\) = \(\frac{1}{2}\) в \(\frac{10}{7}\) = \(\frac{1в10}{2в7}\) = \(\frac{5}{7}\)

Question 2.

what is \(\frac { 1 }{ 4 } \) of 5 \(\frac { 1 }{ 3 } \) of ?

(a) \(\frac{1}{3}\)

(b) \(\frac{2}{3}\)

(c) \(\frac{4}{3}\)

(d) None of these

## Answer

Answer: (c) \(\frac{4}{3}\)

Hint:

\(\frac{1}{4}\) of 5\(\frac{1}{3}\) = \(\frac{1}{4}\) of \(\frac{16}{3}\) = \(\frac{1}{4}\) в \(\frac{16}{3}\) = \(\frac{1в16}{4в3}\) = \(\frac{4}{3}\)

Question 3.

Which of the following is an improper fraction?

(a) \(\frac{1}{12}\)

(b) \(\frac{5}{9}\)

(c) \(\frac{4}{13}\)

(d) \(\frac{7}{2}\)

## Answer

Answer: (d) \(\frac{7}{2}\)

Hint:

7 > 2

Question 4.

Which of the following is a mixed fraction?

(a) \(\frac{2}{17}\)

(b) \(\frac{3}{14}\)

(c) \(\frac{5}{27}\)

(d) 2\(\frac{13}{15}\)

## Answer

Answer: (d) 2\(\frac{13}{15}\)

Hint:

2\(\frac{13}{15}\)

Question 5.

The improper fraction \(\frac { 33 }{ 4 } \) in the form of a mixed fraction is

(a) 8\(\frac{1}{4}\)

(b) 4\(\frac{1}{8}\)

(c) 3\(\frac{8}{4}\)

(d) 4\(\frac{7}{8}\)

## Answer

Answer: (a) 8\(\frac{1}{4}\)

Hint:

\(\frac{33}{4}\) = \(\frac{32+1}{4}\) = \(\frac{32}{4}\) + \(\frac{1}{4}\) = 8 + \(\frac{1}{4}\) = 8\(\frac{1}{4}\)

Question 6.

Which of the following is not an equiva-lent fraction of \(\frac { 3 }{ 5 } \) ?

(a) \(\frac{6}{10}\)

(b) \(\frac{9}{15}\)

(c) \(\frac{12}{20}\)

(d) \(\frac{15}{24}\)

## Answer

Answer: (d) \(\frac{15}{24}\)

Hint:

\(\frac{3}{5}\) = \(\frac{3в2}{5в2}\) = \(\frac{6}{10}\); \(\frac{3}{5}\) = \(\frac{3в3}{5в3}\) = \(\frac{9}{15}\)

\(\frac{3}{5}\) = \(\frac{3в4}{5в4}\) = \(\frac{12}{20}\); \(\frac{3}{5}\) = \(\frac{3в5}{5в5}\) = \(\frac{15}{25}\) = \(\frac{15}{25}\)

Question 7.

Which of the following is an equivalent fraction of \(\frac { 2 }{ 3 } \) ?

(a) \(\frac{4}{9}\)

(b) \(\frac{6}{13}\)

(c) \(\frac{8}{11}\)

(d) \(\frac{10}{15}\)

## Answer

Answer: (d) \(\frac{10}{15}\)

Hint:

\(\frac{2}{3}\) = \(\frac{2в5}{3в5}\) = \(\frac{10}{15}\)

Question 8.

Which of the following fraction?

(a) \(\frac{7}{4}\)

(b) \(\frac{19}{4}\)

(c) \(\frac{14}{5}\)

(d) \(\frac{4}{11}\)

## Answer

Answer: (d) \(\frac{4}{11}\)

Hint:

4 < 11

Question 9.

Which of the following fraction?

(a) \(\frac{17}{3}\)

(b) \(\frac{43}{12}\)

(c) \(\frac{15}{11}\)

(d) \(\frac{4}{5}\)

## Answer

Answer: (d) \(\frac{4}{5}\)

Hint:

4 < 5

Question 10.

Which of the following is an improper fraction?

(a) \(\frac{2}{7}\)

(b) \(\frac{1}{2}\)

(c) \(\frac{2}{3}\)

(d) \(\frac{73}{10}\)

## Answer

Answer: (d) \(\frac{73}{10}\)

Hint:

73 > 10

Question 11.

\(\frac { 1 }{ 2 } \) – \(\frac { 1 }{ 4 } \) is equal to

(a) \(\frac{1}{2}\)

(b) \(\frac{1}{8}\)

(c) \(\frac{1}{3}\)

(d) \(\frac{1}{4}\)

## Answer

Answer: (d) \(\frac{1}{4}\)

Hint:

\(\frac{1}{2}\) – \(\frac{1}{4}\) = \(\frac{2}{4}\) – \(\frac{1}{4}\) = \(\frac{2-1}{4}\) + \(\frac{1}{4}\)

Question 12.

Apala ate \(\frac { 3 }{ 5 } \) of an orange. The remaining orange was eaten by Meenu. What part of the orange was eaten by Meenu?

(a) \(\frac{1}{5}\)

(b) \(\frac{2}{5}\)

(c) \(\frac{3}{5}\)

(d) None of these

## Answer

Answer: (b) \(\frac{2}{5}\)

Hint:

1 – \(\frac{3}{5}\) = \(\frac{5}{3}\) – \(\frac{3}{5}\) = \(\frac{5-3}{5}\) = \(\frac{2}{5}\)

Question 13.

The side of an equilateral triangle is \(\frac { 1 }{ 2 } \) cm. The perimeter of the triangle is

(a) 1 cm

(b) 2 cm

(c) \(\frac{3}{2}\)

(d) None of these

## Answer

Answer: (c) \(\frac{3}{2}\)

Hint:

Perimeter = \(\frac{1}{2}\) + \(\frac{1}{2}\) + \(\frac{1}{2}\) = \(\frac{1+1+1}{2}\)

= \(\frac{2}{2}\) cm.

Question 14.

The side of a square is \(\frac { 1 }{ 2 } \) cm. The perimeter of the square is

(a) 1 cm

(b) 2 cm

(c) 1\(\frac{1}{2}\)

(d) 2\(\frac{1}{2}\)

## Answer

Answer: (b) 2 cm

Hint:

Perimeter = \(\frac{1}{2}\) + \(\frac{1}{2}\) + \(\frac{1}{2}\) + \(\frac{1}{2}\)

= \(\frac{1+1+1+1}{2}\) = \(\frac{4}{2}\) = 2 cm.

Question 15.

Manish worked for \(\frac { 1 }{ 2 } \) an hour. Yash worked for \(\frac { 1 }{ 4 } \) of an hour. For how much time did both work together?

(a) 1 hour

(b) \(\frac{3}{4}\)

(c) \(\frac{5}{4}\)

(d) \(\frac{3}{2}\)

## Answer

Answer: (b) \(\frac{3}{4}\)

Hint:

\(\frac{1}{2}\) + \(\frac{1}{4}\) = \(\frac{2}{4}\) + \(\frac{1}{4}\)

= \(\frac{2+1}{2}\) = \(\frac{3}{4}\)

Question 16.

The length of a rectangular sheet of paper is \(\frac { 3 }{ 5 } \) cm and the breadth is \(\frac { 2 }{ 5 } \) cm. What is the perimeter of the paper?

(a) 1 cm

(b) 2 cm

(c) 3 cm

(d) 4 cm

## Answer

Answer: (b) 2 cm

Hint:

Perimeter = 2(\(\frac{3}{5}\) + \(\frac{2}{5}\)) = 2(\(\frac{3+2}{5}\))

= 2(\(\frac{5}{5}\)) = 2(1) = 2 cm

Question 17.

Lipika reads 1 \(\frac { 1 }{ 2 } \) hours daily. Preeti reads \(\frac { 1 }{ 2 } \) hour daily. How much hours they read for in one day?

(a) 1 hour

(b) 2 hour

(c) 1\(\frac{1}{2}\)

(d) 2\(\frac{1}{2}\)

## Answer

Answer: (b) 2 hour

Hint:

1\(\frac{1}{2}\) + \(\frac{1}{2}\) = \(\frac{3}{2}\) + \(\frac{1}{2}\)

= \(\frac{3+1}{2}\) = \(\frac{4}{2}\) = 2 hours

Question 18.

2 в \(\frac { 5 }{ 3 } \) is equal to

(a) \(\frac{7}{3}\)

(b) \(\frac{11}{3}\)

(c) \(\frac{13}{3}\)

(d) \(\frac{10}{3}\)

## Answer

Answer: (d) \(\frac{10}{3}\)

Hint:

2 в \(\frac{5}{3}\) = \(\frac{2в5}{3}\) = \(\frac{10}{3}\)

Question 19.

\(\frac { 7 }{ 5 } \) в 4 is equal to

(a) \(\frac{21}{5}\)

(b) \(\frac{22}{5}\)

(c) \(\frac{28}{5}\)

(d) \(\frac{23}{5}\)

## Answer

Answer: (c) \(\frac{28}{5}\)

Hint:

\(\frac{7}{5}\) в 4 = \(\frac{7в4}{5}\) = \(\frac{28}{5}\)

Question 20.

what is \(\frac { 1 }{ 2 } \) of 8 ?

(a) 1

(b) 2

(c) 3

(d) 4

## Answer

Answer: (d) 4

Hint:

\(\frac{1}{2}\) of 8 = \(\frac{1}{2}\) в 8 = \(\frac{1в8}{2}\) = \(\frac{8}{2}\) = 4

Question 21.

what is \(\frac { 1 }{ 3 } \) of 9 ?

(a) 1

(b) 2

(c) 3

(d) 9

## Answer

Answer: (c) 3

Hint:

\(\frac{1}{3}\) of 9 = \(\frac{1}{3}\) в 9 = \(\frac{1в9}{3}\) = \(\frac{9}{3}\) = 3

Question 22.

what is \(\frac { 3 }{ 5 } \) of 25 ?

(a) 5

(b) 10

(c) 15

(d) 20

## Answer

Answer: (c) 15

Hint:

\(\frac{3}{5}\) of 25 = \(\frac{3}{5}\) в 25 = \(\frac{3в25}{5}\) = \(\frac{75}{5}\) = 15

Question 23.

what is \(\frac { 3 }{ 4 } \) of 24 ?

(a) 12

(b) 18

(c) 16

(d) 20

## Answer

Answer: (b) 18

Hint:

\(\frac{3}{4}\) of 24 = \(\frac{3}{4}\) в 24 = \(\frac{3в24}{4}\) = \(\frac{72}{4}\) = 18

Question 24.

There are 40 students in a class. \(\frac { 1 }{ 2 } \) of the total number of students are Hindus. The number of Hindus is

(a) 10

(b) 20

(c) 30

(d) 40

## Answer

Answer: (b) 20

Hint:

Number of Hindus = \(\frac{1}{2}\) of 40 = \(\frac{1}{2}\) в 40

= \(\frac{1в40}{2}\) = \(\frac{40}{2}\) = 20

Question 25.

By what fraction should be multiply \(\frac { 4 }{ 5 } \) to get \(\frac { 16 }{ 35 } \) ?

(a) \(\frac{4}{7}\)

(b) \(\frac{7}{4}\)

(c) \(\frac{4}{5}\)

(d) \(\frac{16}{35}\)

## Answer

Answer: (a) \(\frac{4}{7}\)

Hint:

Required fraction = \(\frac{16}{35}\) В \(\frac{4}{5}\) = \(\frac{16}{35}\) в \(\frac{5}{4}\)

= \(\frac{16в5}{35в4}\) = \(\frac{4}{7}\)

Question 26.

5 В \(\frac { 5 }{ 2 } \) is equal to

(a) 1

(b) 2

(c) 5

(d) 3

## Answer

Answer: (b) 2

Hint:

5 В \(\frac{5}{2}\) = 5 в \(\frac{2}{5}\) = \(\frac{5в2}{5}\) = 2

Question 27.

\(\frac { 1 }{ 3 } \) В \(\frac { 5 }{ 3 } \) is equal to

(a) \(\frac{1}{3}\)

(b) \(\frac{5}{3}\)

(c) \(\frac{1}{5}\)

(d) None of these

## Answer

Answer: (c) \(\frac{1}{5}\)

Hint:

\(\frac{1}{3}\) В \(\frac{5}{3}\) = \(\frac{1}{3}\) в \(\frac{3}{5}\) = \(\frac{1в3}{3в5}\) = \(\frac{1}{5}\)

Question 28.

\(\frac { 1 }{ 2 } \) В 4 is equal to

(a) \(\frac{1}{8}\)

(b) \(\frac{1}{4}\)

(c) \(\frac{1}{2}\)

(d) \(\frac{1}{6}\)

## Answer

Answer: (a) \(\frac{1}{8}\)

Hint:

\(\frac{1}{2}\) В 4 = \(\frac{1}{2}\) в \(\frac{1}{4}\) = \(\frac{1в1}{2в4}\) = \(\frac{1}{8}\)

Question 29.

3 \(\frac { 1 }{ 3 } \) В 10 is equal to

(a) \(\frac{1}{2}\)

(b) \(\frac{1}{3}\)

(c) \(\frac{1}{4}\)

(d) \(\frac{1}{5}\)

## Answer

Answer: (b) \(\frac{1}{3}\)

Hint:

3\(\frac{1}{3}\) В 10 = \(\frac{10}{3}\) В 10 = \(\frac{10}{3}\) в \(\frac{1}{10}\) = \(\frac{10в1}{3в10}\) = \(\frac{1}{3}\)

Question 30.

A water bottle contains 2 litres of water. Meenu drank \(\frac { 1 }{ 8 } \) of water. How much water did Meenu drink?

(a) \(\frac{1}{2}\) litre

(b) \(\frac{1}{8}\) litre

(c) \(\frac{1}{4}\) litre

(d) None of these

## Answer

Answer: (c) \(\frac{1}{4}\) litre

Hint:

Meenu drank water = \(\frac{1}{8}\) of 2 = \(\frac{1}{8}\) в 2

= \(\frac{1в2}{8}\) = \(\frac{2}{8}\) = \(\frac{1}{4}\) litre

Question 31.

A car runs 20 km using 1 litre of petrol. How much distance will it cover in 1 \(\frac { 1 }{ 4 } \) litre of petrol ?

(a) 25 km

(b) 30 km

(c) 36 km

(d) 40 km

## Answer

Answer: (a) 25 km

Hint:

Required distance = 20 в 1\(\frac{1}{4}\) = 20 в \(\frac{5}{4}\)

= \(\frac{20в5}{4}\) = \(\frac{100}{4}\) = 25 km

Question 32.

14 В \(\frac { 7 }{ 2 } \) is equal to

(a) 1

(b) 2

(c) 3

(d) 4

## Answer

Answer: (d) 4

Hint:

14 В \(\frac{7}{2}\) = 14 в \(\frac{2}{7}\) = \(\frac{14в2}{7}\) = 4

Question 33.

0.6 В 3 is equal to

(a) 10.6 km

(b) 20.6 km

(c) 30.6 km

(d) 10 km

## Answer

Answer: (d) 10km

Hint:

6 В 3 = 2 ? 0.6 В 3 = 0.2

Question 34.

2.5 В 100 is equal to

(a) 0.025

(b) 0.25

(c) 25

(d) 250

## Answer

Answer: (a) 0.025

Hint:

2.5 В 100 = \(\frac{25}{10}\) в \(\frac{1}{100}\) = \(\frac{25}{1000}\) = 0.025

Question 35.

1.44 В 1.2 is equal to

(a) 1.2

(b) 12

(c) 0.12

(d) 120

## Answer

Answer: (a) 1.2

Hint:

1.44 В 1.2 = \(\frac{144}{100}\) В \(\frac{12}{10}\) = \(\frac{144}{100}\) в \(\frac{10}{12}\) = \(\frac{12}{10}\) = 1.2

or

\(\frac{1.44}{1.2}\) в \(\frac{144}{120}\) = \(\frac{12}{10}\) = 1.2

Question 36.

5 paise is equal to

(a) Rs 0.5

(b) Rs 0.05

(c) Rs 0.005

(d) Rs 0.0005

## Answer

Answer: (b) Rs 0.05

Hint:

5 paise = Rs \(\frac{5}{100}\) = Rs 0.05

Question 37.

5 cm is equal to

(a) 0.005 km

(b) 0.00005 km

(c) 0.000005 km

(d) None of these

## Answer

Answer: (b) 0.00005 km

Hint:

5 cm = \(\frac{5}{100}\) m = 0.05 m = \(\frac{0.05}{100}\) km = 0.00005 km

Question 38.

1.25 в 5 is equal to

(a) 62.5

(b) 6.25

(c) 31.25

(d) 0.625

## Answer

Answer: (b) 6.25

Hint:

125 в 5 = 625 ? 1.25 в 5 = 6.25.

Question 39.

0.01 в 1000 is equal to

(a) 1

(b) 0.1

(c) 0.01

(d) 10

## Answer

Answer: (d) 10

Hint:

1 в 1000 = 1000

0.01 в 1000 = 10.

Question 40.

150 g is equal to

(a) 0.15 kg

(b) 0.015 kg

(c) 0.0015 kg

(d) 0.00015 kg

## Answer

Answer: (a) 0.15 kg

Hint:

1 kg = 1000 gm; 150 g = \(\frac{150 gm}{100}\) kg = 0.15 kg

Question 41.

The place value of 2 in 2.38 is

(a) 1

(b) 2

(c) 20

(d) 0.2

## Answer

Answer: (b) 2

Hint:

2 is the unit▓s digit in integral part.

? Place value = 2 в 1 = 2.

Question 42.

The place value of 2 in 5.32 is

(a) 2

(b) 0.2

(c) 0.02

(d) 0.002.

## Answer

Answer: (c) 0.02

Hint:

2 is the hundredth▓s digit in the decimal part.

? Place value = 2 в \(\frac{1}{100}\) = 0.02.

Question 43.

How much less is 10 km than 30.6 km?

(a) 10.6 km

(b) 20.6 km

(c) 30.6 km

(d) 10 km

## Answer

Answer: (b) 20.6 km

Hint:

30.6 – 10.0 = 20.6

Question 44.

Find: 2.5 в 4

(a) 10

(b) 5

(c) 8

(d) 12

## Answer

Answer: (a) 10

Hint:

25 в 4 = 100 ? 2.5 в 4 = 10.

Question 45.

Find: 1.2 в 1.2

(a) 144

(b) 14.4

(c) 1.44

(d) none of these

## Answer

Answer: (c) 1.44

Hint:

12 в 12 = 144 ? 1.2 в 1.2 = 1.44.

Question 46.

1.2 в 10 is equal to

(a) 12

(b) 120

(c) 0.12

(d) none of these

## Answer

Answer: (a) 12

Hint:

12 в 10 = 120 ?1.2 в 10 = 12.

Question 47.

0.6 в 100 is equal to

(a) 6

(b) 60

(c) 600

(d) 0.06

## Answer

Answer: (b) 60

Hint:

6 в 100 = 600 ? 0.6 в 100 = 60.

Question 48.

1 – \(\frac { 1 }{ 5 } \) is equal to

(a) \(\frac{2}{5}\)

(b) \(\frac{3}{5}\)

(c) \(\frac{4}{5}\)

(d) \(\frac{1}{5}\)

## Answer

Answer: (c) \(\frac{4}{5}\)

Hint:

1 – \(\frac{1}{5}\) = \(\frac{5}{5}\) – \(\frac{1}{5}\) = \(\frac{5-1}{5}\) = \(\frac{4}{5}\)

Question 49.

2 + \(\frac { 1 }{ 4 } \) is equal to

(a) \(\frac{7}{4}\)

(b) \(\frac{9}{4}\)

(c) \(\frac{5}{4}\)

(d) \(\frac{11}{4}\)

## Answer

Answer: (b) \(\frac{9}{4}\)

Hint:

2 + \(\frac{1}{4}\) = \(\frac{2}{1}\) + \(\frac{1}{4}\) = \(\frac{2в4}{1в4}\) + \(\frac{1}{4}\)

= \(\frac{8}{4}\) + \(\frac{1}{4}\) = \(\frac{8+1}{4}\) + \(\frac{9}{4}\)

Question 50.

\(\frac { 1 }{ 2 } \) + \(\frac { 1 }{ 3 } \) is equal to

(a) \(\frac{1}{6}\)

(b) \(\frac{5}{6}\)

(c) \(\frac{7}{6}\)

(d) \(\frac{11}{6}\)

## Answer

Answer: (b) \(\frac{5}{6}\)

Hint:

\(\frac{1}{2}\) + \(\frac{1}{3}\) = \(\frac{3}{6}\) + \(\frac{2}{6}\) = \(\frac{3+2}{6}\) + \(\frac{5}{6}\)

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