Fractions and Decimals Test

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Fractions and Decimals Test - 31

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Weekly Quiz Competition

Question 1
1 / -0

$$\displaystyle 3\frac{2}{5}=3+ $$ ____

A
$$\displaystyle \frac{3}{5}$$

B
$$\displaystyle \frac{1}{5}$$

C
$$\displaystyle \frac{2}{5}$$

D
$$\displaystyle 3\frac{2}{5}$$

Solution

$$3\dfrac{2}{5}$$ can be written as $$\dfrac{17}{5}$$.
$$\therefore \dfrac{17}{5}=\dfrac{15+2}{5}=3+\dfrac{2}{5}$$
Hence, the answer is $$\dfrac{2}{5}$$.
Question 2
1 / -0

$$ \displaystyle \frac{1}{7} $$ of $$49$$ litre $$=$$ ____litre

A
$$1$$

B
$$5$$

C
$$7$$

D
$$6$$

Solution

$$\dfrac{1}{7}$$ of $$49$$ litre $$=\dfrac{1}{7}\times 49=7$$ litre.
Hence, the answer is $$7$$.
Question 3
1 / -0

Convert $$\dfrac{11}{4}$$ into a mixed fraction.

A
$$\displaystyle 2\frac{3}{4}$$

B
$$\displaystyle 3\frac{3}{4}$$

C
$$\displaystyle 1\frac{3}{4}$$

D
none of the above

Solution

Divide $$11$$ by $$4$$. The quotient is $$2$$ and remainder $$3$$.

$$\therefore \displaystyle \frac{11}{4}= 2\frac{3}{4}$$

So. option A is correct.
Question 4
1 / -0

In improper fraction the numerator is always _______ the denominator

A
less than

B
greater than

C
equal to

D
none

Solution

In an improper fraction, the numerator is always $$greater\ than$$ the denominator.
Hence, the answer is 'greater than'.
Question 5
1 / -0

Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse's station. Pens are purchased in sets of 6 for $2.35 per pack. Staplers are purchased in sets of 2 for 12.95. How much will purchasing these products cost?

A
$132.85

B
$145.75

C
$162.90

D
$225.25

E
$226.75

Solution
Question 6
1 / -0

Simplifying the fraction $$\displaystyle \frac{6}{5}\times 4\frac{1}{2}$$ gives

A
$$\displaystyle \frac{27}{5}$$

B
$$\displaystyle \frac{6}{5}$$

C
$$\displaystyle \frac{11}{5}$$

D
None of the above

Solution

$$\displaystyle \frac{6}{5} \times 4\frac{1}{2}$$

$$=\displaystyle \frac{6}{5}\times \frac{9}{2}$$

$$= \displaystyle \frac{27}{5}$$

So, option $$A$$ is correct.
Question 7
1 / -0

Two-fifth of $$10$$ litre $$=$$ _____ litres

A
$$2$$

B
$$3$$

C
$$4$$

D
$$5$$

Solution

$$\dfrac{2}{5} $$ of $$10$$ litre $$=\dfrac{2}{5}\times 10=4$$ litres.

Hence, the answer is $$4$$
Question 8
1 / -0

$$\displaystyle \frac{2}{5} $$ of a rupee = ____ paise

A
$$20$$

B
$$10$$

C
$$40$$

D
$$50$$

Solution

We know that $$1$$ Rs $$=100$$ paisa.
So, $$\dfrac{2}{5} \times 100=40$$ paisa.
Hence, the answer is $$40$$.
Question 9
1 / -0

Calculate $$456.78\times 8$$.

A
$$36542.4$$

B
$$365.424$$

C
$$3,654.24$$

D
$$36.5424$$

Solution

Let us first multiply the two given numbers $$456.78$$ and $$8$$ without decimal point:

$$45678\times 8=365424$$

Since, $$456.78$$ has two decimal places, therefore the answer $$365424$$ should also have two decimal places that is $$3654.24$$.

Hence, $$456.78\times 8=3,654.24$$.
Question 10
1 / -0

Each piece of cardboard is $$0.3\ cm$$ thick. If Marie stacks $$8$$ pieces of cardboard on top of one another, how thick will the stack be?

A
$$2.4\ cm$$

B
$$24\ cm$$

C
$$2.1\ cm$$

D
$$21\ cm$$

Solution

It is given that each piece of cardboard is $$0.3$$ cm thick which means that one piece is $$0.3$$ cm thick.

If Marie stacks $$8$$ pieces of cardboard, then the thickness of $$8$$ pieces of cardboard will be:

$$0.3\times 8=2.4$$ cm

Hence, the stack will be $$2.4$$ cm thick.

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Re-Attempt Weekly Quiz Competition

Fractions and Decimals Test - 31

Result

Fractions and Decimals Test - 31

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SHARING IS CARING

Question 1

$$\displaystyle \frac{3}{5}$$

$$\displaystyle \frac{1}{5}$$

$$\displaystyle \frac{2}{5}$$

$$\displaystyle 3\frac{2}{5}$$

Solution

Question 2

$$1$$

$$5$$

$$7$$

$$6$$

Solution

Question 3

$$\displaystyle 2\frac{3}{4}$$

$$\displaystyle 3\frac{3}{4}$$

$$\displaystyle 1\frac{3}{4}$$

none of the above

Solution

Question 4

less than

greater than

equal to

none

Solution

Question 5

$132.85

$145.75

$162.90

$225.25

$226.75

Solution

Question 6

$$\displaystyle \frac{27}{5}$$

$$\displaystyle \frac{6}{5}$$

$$\displaystyle \frac{11}{5}$$

None of the above

Solution

Question 7

$$2$$

$$3$$

$$4$$

$$5$$

Solution

Question 8

$$20$$

$$10$$

$$40$$

$$50$$

Solution

Question 9

$$36542.4$$

$$365.424$$

$$3,654.24$$

$$36.5424$$

Solution

Question 10

$$2.4\ cm$$

$$24\ cm$$

$$2.1\ cm$$

$$21\ cm$$

Solution

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