M.C.Q. [1 Marks Each]

MCQ 11 Mark

$0.02 \times 0.05 =$

A
$0.1$
B
$0.01$
✓
$0.001$
D
$0.0001$

Answer

Correct option: C.

$0.001$

In order to find the product, we first multiply $2$ by $5$
We have, $2 \times 5 = 10$
Now, $0.02$ has $2$ decimal places is $2 + 2 = 4$
So, the product must contain $4$ places of decimals.
$\therefore$ $0.02 \times 0.05$
$= 0.0010$
$= 0.001$

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MCQ 21 Mark

$3 \times 0.3 \times 0.03 \times 0.003 \times 30 =$

A
$0.0000243$
B
$0.000243$
✓
$0.00243$
D
$0.0243$

Answer

Correct option: C.

$0.00243$

$=3 \times 0.3 \times 0.03 \times 0.003 \times 30$
$=3\times\frac{3}{10}\times\frac{3}{100}\times\frac{3}{1000}\times3\times10$
$=\frac{3\times3\times3\times3\times3}{100\times1000}$
$=\frac{243}{100000}$
$=0.00243$ (Decimal point is shifted to left by $5$ places)

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MCQ 31 Mark

$5kg$ $5g$ written in decimal notation is:

A
$5.5$
B
$5.05$
✓
$5.005$
D
$5.005$

Answer

Correct option: C.

$5.005$

We know that,
$1\text{g}=\frac{1}{1000}\text{kg}$
Now,
$5\text{kg }5\text{g}=5\text{kg}+5\text{g}$
$=5\text{kg}+\frac{5}{1000}\text{kg}$
$=5\text{kg}+0.005\text{kg}$
$=5.005\text{kg}$
$\therefore\ 5\text{kg }5\text{g}$
$=5.005\text{kg}$

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MCQ 41 Mark

If $24.125=24+\frac{\text{A}}{10}+\frac{\text{B}}{100}+\frac{\text{C}}{1000},$ then $A + B + C =$

A
$3$
B
$6$
C
$13$
✓
$8$

Answer

Correct option: D.

$8$

$=24.125$
$=24+0.125$
$=24+0.1+0.02+0.005$
$=24+\frac{1}{10}+\frac{2}{100}+\frac{5}{1000}$
Comparing this the given expression, we get
$\text{A}=1,\text{B}=2$ and $\text{C}=5$
$\therefore\ \text{A}+\text{B}+\text{C}=1+2+5$
$\text{A}+\text{B}+\text{C}=8$

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MCQ 51 Mark

What should be subtracted from $0.1$ to get $0.06$?

A
$0.4$
✓
$0.04$
C
$0.004$
D
None of these.

Answer

Correct option: B.

$0.04$

The decimal which should be subtracted from $0.1$ to get $0.06$ can be obtained by subtracting $0.06$ from $0.1$
Converting given decimals into like decimals, we have $0.10$ and $0.06$
Now,
$= 0.10 - 0.06$
$= 0.04$
$\therefore$ Required decimal $= 0.1 - 0.06$
$= 0.04$

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MCQ 61 Mark

$1.04$ as an mixed fraction is:

A
$1\frac{1}{5}$
B
$1\frac{2}{5}$
✓
$1\frac{1}{25}$
D
$1\frac{2}{25}$

Answer

Correct option: C.

$1\frac{1}{25}$

The given decimal is $1.04$
$=1.04$
$=1+0.04$
$=1+\frac{4}{100}$
$=1+\frac{4\div4}{100\div4}$
$=1+\frac{1}{25}$
$=1\frac{1}{25}$

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MCQ 71 Mark

$0.012 \times 0.15 =$

A
$0.8$
B
$0.08$
C
$0.008$
✓
$0.0018$

Answer

Correct option: D.

$0.0018$

We have,
$12 \times 15 = 180$
It can be seen that the sum of the decimals in the given decimals is $3 + 2 = 5$
So, the product must contain $5$ places of decimals.
$\therefore$ $0.012 \times 0.015$
$= 0.00180$
$= 0.0018$

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MCQ 81 Mark

8ml is equal to:

A
$0.8l$
B
$0.08l$
✓
$0.008l$
D
None os these.

Answer

Correct option: C.

$0.008l$

We know that,
$1\text{ml}=\frac{1}{1000}\text{l}$
$\therefore\ 8\text{ml}=\frac{8}{1000}\text{l}$
$=0.008\text{l}$

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MCQ 91 Mark

The value of $2.2 \times 0.2 \times 0.001$ is:

A
$4.2$
✓
$0.00044$
C
$4.4$
D
None os these.

Answer

Correct option: B.

$0.00044$

In order to find the product, we first multiply $22$ by $2$
We have, $22 \times 2 = 44$
Now, $2.2$ has $1$ decimal place, $0.2$ has $1$ decimal place and $0.001$ has $3$ decimal places.
The sum of the decimal places is $1 + 1 + 3 = 5$
So, the product must contain $5$ places of decimals.
$\therefore$ $2.2 \times 0.2 \times 0.001 = 0.00044$
Thus, the value of $2.2 \times 0.2 \times 0.001$ is $0.00044$

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MCQ 101 Mark

If $14 \times 4 = 56$, then $0.014 \times 4 =$

A
$0.56$
B
$5.6$
✓
$0.056$
D
None os these.

Answer

Correct option: C.

$0.056$

It is given that,
$14 \times 4 = 56$
Now, $0.014$ has $3$ decimal places.
So, the required product must contain $3$ places of decimals.
$\therefore$ $0.014 \times 4 = 0.056$

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MCQ 111 Mark

$0.002 \times 0.5 =$

✓
$0.0001$
B
$0.001$
C
$0.01$
D
$1$

Answer

Correct option: A.

$0.0001$

$0.001$
$=0.002\times0.5$
$=\frac{2}{1000}\times\frac{5}{10}$
$=\frac{2\times5}{1000\times10}$
$=\frac{10}{10000}$
$=\frac{1}{1000}$
$=0.01$

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MCQ 121 Mark

The improper fraction $2\frac{1}{25}$ in decimal form is:

A
$2.4$
✓
$2.04$
C
$2.004$
D
None of these.

Answer

Correct option: B.

$2.04$

The given fraction is $2\frac{1}{25}.$ Now,
$=2\frac{1}{25}$
$=2+\frac{1}{25}$
$=2+\frac{1\times4}{25\times4}$
$=2+\frac{4}{100}$
$=2+0.04$
$=2.04$

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MCQ 131 Mark

What should be added to $5.09$ to get $5.5$?

✓
$0.41$
B
$0.59$
C
$0.49$
D
$0.95$

Answer

Correct option: A.

$0.41$

The decimal number which should be added to $5.09$ to get $5.5$ is obtained by subtracting $5.09$ from $5.5$
Converting the given decimals to like decimals, we have $5.09$ and $5.50$
Now,
$= 5.50 - 5.09$
$= 0.41$
$\therefore$ Required decimal $= 5.50 - 5.09 = 0.41$
Thus, $0.41$ must be added to $5.09$ to get $5.5$

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MCQ 141 Mark

$0.3 \times 0.3 \times 0.3 =$

A
$2.7$
B
$0.27$
✓
$0.027$
D
None of these.

Answer

Correct option: C.

$0.027$

We have,
$3 \times 3 \times 3 = 27$
The sum of the decimal places in the given decimals is $1 + 1 + 1 = 3$
So, the product must contain $3$ places of decimals.
$\therefore$ $0.3 \times 0.3 \times 0.3 = 0.027$

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MCQ 151 Mark

$0.25 \times 0.8 =$

A
$0.02$
✓
$0.2$
C
$0.002$
D
$2$

Answer

Correct option: B.

$0.2$

$0.2$
In order to find the product, we first multiply $8$ by $25$
We have, $25 \times 8 = 200$
Now, $0.25$ has $2$ decimal places and $0.8$ has $1$ decimal place.
The sum of the decimal places is $2 + 1 = 3$
So, the product must contain $3$ places of decimals.
$\therefore\ 0.25\times0.8$
$=0.200$
$=0.2$

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MCQ 161 Mark

When $0.48$ is written in the simplest from of its terms, the sum of its numerator and denominator is:

A
$148$
B
$74$
✓
$37$
D
$147$

Answer

Correct option: C.

$37$

$=0.48$
$=\frac{48}{100}$
$=\frac{48\div4}{100\div4}$ $(HCF$ of $48$ and $100 = 4)$
$=\frac{12}{25}$
Here,
Numberator $= 12$
Denominator $= 25$
$\therefore$ Sum of the numerator and denominator $= 12 + 25 = 37$

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MCQ 171 Mark

$75.57\div0.01=$

✓
$7557$
B
$0.7557$
C
$755.7$
D
$7.557$

Answer

Correct option: A.

$7557$

$=75.57\div0.01$
$=\frac{75.57}{0.01}$
$=\frac{75.57\times100}{0.01\times100}$ (Multiply numerator and denominator by $100$ to convert the divisor)
$=\frac{7557}{1}$
$=7557$

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MCQ 181 Mark

$5km$ $5m = ?$

A
$5.5km$
B
$5.05km$
✓
$5.005km$
D
$5.0005km$

Answer

Correct option: C.

$5.005km$

We know that,
$1\text{m}=\frac{1}{1000}\text{km}$
Now,
$5\text{km 5m}=5\text{km}+5\text{m}$
$=5\text{km}+\frac{5}{1000}\text{km}$
$=5\text{km}+0.005\text{km}$
$=5.005\text{km}$
$\therefore\ 5\text{km 5m}$
$=5.005\text{km}$

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MCQ 191 Mark

$0.012\div1.5=?$

A
$0.8$
B
$0.08$
✓
$0.008$
D
None of these.

Answer

Correct option: C.

$0.008$

$=0.012\div1.5$
$=\frac{0.012}{1.5}$
$=\frac{0.012\times10}{1.5\times10}$ (Multiply the numberator and denominator by 10 to convert the divison)
$=\frac{0.12}{15}$