Decimal Fractions — Multiple Choice Questions

Which is greater: 5.038 or 5.3?

1. 5.038

2. 5.3

3. none of these

Answer

Converting to like decimals: 5.038 and 5.300.

Comparing the digits after the decimal point, 300 > 038, so 5.3 > 5.038.

∴ 5.3 is greater.

Hence, Option 2 is the correct option.

Shyama bought 5 kg 300 g apples and 3 kg 250 g mangoes. Sarla bought 4 kg 800 g oranges and 4 kg 150 g bananas. Who bought more fruits?

1. Shyama

2. Sarla

3. none of these

Answer

Shyama bought 5 kg 300 g = 5.300 kg apples

Shyama bought 3 kg 250 g = 3.250 kg mangoes

Sarla bought 4 kg 800 g = 4.800 kg oranges

Sarla bought 4 kg 150 g = 4.150 kg bananas

Total weight of fruits bought by Shyama = 5.300 + 3.250 = 8.550 kg

Total weight of fruits bought by Sarla = 4.800 + 4.150 = 8.950 kg

Since 8.950 > 8.550, Sarla bought more fruits.

Hence, Option 2 is the correct option.

Two kg of milk contains 0.315 kg of cream. The cream in 20 kg milk is:

1. 31.5 kg

2. 0.63 kg

3. 3.15 kg

4. 0.315 kg

Answer

Cream in 2 kg milk = 0.315 kg

Cream in 1 kg milk $= \dfrac{0.315}{2}$ kg

Cream in 20 kg milk $= \dfrac{0.315}{2} \times 20 = 0.315 \times 10 = 3.15$ kg

Hence, Option 3 is the correct option.

The distance walked by a boy is 86.4 km in 4.8 hours. The distance covered by him in one hour, with the same speed, is:

1. 86.4 × 4.8 km

2. $\dfrac{86.4}{4.8}$ km

3. $\dfrac{4.8}{86.4}$ km

4. none of these

Answer

Distance covered in 4.8 hours = 86.4 km

Distance covered in 1 hour $= \dfrac{86.4}{4.8}$ km

Hence, Option 2 is the correct option.

The number seven and 7 thousandth is:

1. 7.700

2. 7.7000

3. 7.07

4. 7.007

Answer

Seven and 7 thousandth $= 7 + \dfrac{7}{1000} = 7 + 0.007 = 7.007$

Hence, Option 4 is the correct option.

56.56 ÷ 1.4 is equal to:

1. 4.4

2. 40.4

3. 4.04

4. 40

Answer

$56.56 \div 1.4 = \dfrac{565.6}{14} = 40.4$

Hence, Option 2 is the correct option.

$\left(2 + \dfrac{1}{2}\right) \div \dfrac{3}{5}$ is equal to:

1. $4\dfrac{1}{6}$

2. $6\dfrac{1}{4}$

3. $5\dfrac{1}{6}$

4. $5\dfrac{1}{4}$

Answer

Solving,

$\Rightarrow \left(2 + \dfrac{1}{2}\right) \div \dfrac{3}{5} \\[1em] \Rightarrow \dfrac{5}{2} \div \dfrac{3}{5} \\[1em] \Rightarrow \dfrac{5}{2} \times \dfrac{5}{3} \\[1em] \Rightarrow \dfrac{25}{6} \\[1em] \Rightarrow 4\dfrac{1}{6}$

Hence, Option 1 is the correct option.

Total cost of two pens at ₹ 5.30 each and four notebooks at ₹ 20.50 each is:

1. ₹ 92

2. ₹ 9.26

3. ₹ 92.60

4. ₹ 926

Answer

Cost of 2 pens = 2 × 5.30 = ₹ 10.60

Cost of 4 notebooks = 4 × 20.50 = ₹ 82.00

Total cost = 10.60 + 82.00 = ₹ 92.60

Hence, Option 3 is the correct option.

2.5 + 3.8 ÷ 0.02 is equal to:

1. 315

2. 192.5

3. 19.25

4. 26.5

Answer

Following the order of operations, division is performed before addition:

$\Rightarrow 2.5 + 3.8 \div 0.02 \\[1em] \Rightarrow 2.5 + \dfrac{3.8}{0.02} \\[1em] \Rightarrow 2.5 + \dfrac{380}{2} \\[1em] \Rightarrow 2.5 + 190 \\[1em] \Rightarrow 192.5$

Hence, Option 2 is the correct option.

By what decimal number should 0.0001 be divided to get 0.01?

1. 100

2. 10

3. 0.1

4. 0.01

Answer

Let the required number be $x$.

$\Rightarrow 0.0001 \div x = 0.01 \\[1em] \Rightarrow \dfrac{0.0001}{x} = 0.01 \\[1em] \Rightarrow x = \dfrac{0.0001}{0.01} \\[1em] \Rightarrow x =\dfrac{100}{10000} \\[1em] \Rightarrow x = \dfrac{1}{100} = 0.01$

Hence, Option 4 is the correct option.

$3\dfrac{1}{5} \times \left(\dfrac{1}{2} + \dfrac{3}{8}\right) \div \dfrac{21}{40}$ is equal to:

1. $\dfrac{3}{16}$

2. $3\dfrac{1}{5}$

3. $5\dfrac{1}{3}$

4. none of these

Answer

Solving,

$\Rightarrow 3\dfrac{1}{5} \times \left(\dfrac{1}{2} + \dfrac{3}{8}\right) \div \dfrac{21}{40} \\[1em] \Rightarrow \dfrac{16}{5} \times \left(\dfrac{4}{8} + \dfrac{3}{8}\right) \div \dfrac{21}{40} \\[1em] \Rightarrow \dfrac{16}{5} \times \dfrac{7}{8} \div \dfrac{21}{40} \\[1em] \Rightarrow \dfrac{14}{5} \times \dfrac{40}{21} \\[1em] \Rightarrow \dfrac{16}{3} = 5\dfrac{1}{3}$

Hence, Option 3 is the correct option.

5.80, 0.95, 1.87 and 1.92 in descending order are:

1. 0.95, 1.87, 1.92 and 5.80

2. 5.80, 1.92, 1.87 and 0.95

3. 5.80, 1.87, 1.92 and 0.95

4. 5.80, 0.95, 1.87 and 1.92

Answer

Comparing the numbers: 5.80 > 1.92 > 1.87 > 0.95.

So the descending order is 5.80, 1.92, 1.87 and 0.95.

Hence, Option 2 is the correct option.

$3 - \dfrac{1}{4}$ of (15.8 − 3) is equal to:

1. 35.2

2. 0.2

3. −0.2

4. 6.2

Answer

Solving,

$\Rightarrow 3 - \dfrac{1}{4} \text{ of } (15.8 - 3) \\[1em] \Rightarrow 3 - \dfrac{1}{4} \text{ of } 12.8 \\[1em] \Rightarrow 3 - \dfrac{1}{4} \times 12.8 \\[1em] \Rightarrow 3 - 3.2 = -0.2$

Hence, Option 3 is the correct option.