Fractions and Decimals Test

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Fractions and Decimals Test - 17

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Weekly Quiz Competition

Question 1
1 / -0

Improper fraction of $$\displaystyle 12 \frac{1}{6}$$ is

A
$$\displaystyle \frac{72}{6}$$

B
$$\displaystyle \frac{73}{6}$$

C
$$\displaystyle \frac{108}{6}$$

D
$$\displaystyle \frac{85}{6}$$

Solution

$$\displaystyle \frac{WN \times D + N}{D}$$
$$\displaystyle \frac{12 \times 6 + 1}{6} = \frac{72+1}{6} = \frac{73}{6}$$
Question 2
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Mixed fraction for $${\dfrac{39}{12}}$$ is

A
$${3\dfrac {1}{12}}$$

B
$${3\dfrac {2}{12}}$$

C
$${3\dfrac {3}{12}}$$

D
$${2\dfrac {14}{12}}$$

Solution

$$\dfrac{39}{12}$$ can be written as $$\dfrac{12\times{3}+3}{12}$$

So mixed fraction of this number will be $$3\dfrac{3}{12}$$
So the correct answer is Option C
Question 3
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Consider the following quotients:
I. $$368.39$$ divided by $$17$$.
II. $$170.50$$ divided by $$62$$.
III. $$875.65$$ divided by $$83$$.
Their correct sequence in decreasing order is ?

A
I, III, II

B
II, I, III

C
II, III, I

D
III, I, II

Solution

(I) $$\displaystyle\frac{368.39}{17} = 21.67$$

(II) $$\displaystyle\frac{170.50}{62} = 2.75$$

(III) $$\displaystyle\frac{875.65}{83} = 10.55$$

$$\therefore$$ The correct sequence in decreasing order is (I), (III), (II).
Question 4
1 / -0

Example for an improper fraction is

A
$$\displaystyle \frac{25}{26}$$

B
$$\displaystyle \frac{12}{13}$$

C
$$\displaystyle \frac{15}{14}$$

D
$$\displaystyle \frac{19}{20}$$

Solution

Denominator is less than the numerator.
Question 5
1 / -0

Which of the following is not an improper fraction?

A
$$\dfrac{4}{3}$$

B
$$\dfrac{3}{2}$$

C
$$\dfrac{5}{3}$$

D
$$\dfrac{7}{11}$$

Solution

In improper fractions, the numerator is always greater than the denominator.

In $$\dfrac{7}{11}$$, the numerator $$7$$ is smaller than the denominator $$11$$.

In all other options $$\dfrac{4}{3},\dfrac{3}{2}, \dfrac{5}{3}$$, the numerator is greater than the denominator.

Therefore, $$\dfrac{7}{11}$$ is not an improper fraction.
Question 6
1 / -0

Evaluate : $$88.8 + 8.08 + 0.08 + 88.08 + 0.80 + 888$$.

A
$$1073.84$$

B
$$1073.76$$

C
$$1073.04$$

D
None of these

Solution

$$88.80$$
+ $$8.08$$
+ $$0.08$$
+ $$88.08$$
+ $$0.80$$
+ $$888.00$$
_________
$$1073.84$$
_________
$$\therefore$$ Required sum $$= 1073.84$$.
Question 7
1 / -0

$$685.59 - x = 607.88 - 351.46$$

A
$$449.28$$

B
$$419.17$$

C
$$429.17$$

D
$$439.28$$

Solution

Given that : $$685.59 - x = 607.88 - 351.46$$
Therefore, $$x = 685.59 - 607.88 + 351.46 = 429.17$$
Question 8
1 / -0

Which of the following is not a proper fraction ?

A
$$\dfrac{2}{3}$$

B
$$\dfrac{3}{4}$$

C
$$\dfrac{5}{7}$$

D
$$\dfrac{6}{5}$$

Solution

In $$\dfrac{6}{5}$$, the numerator $$6$$ is greater than the denominator $$5$$.
Therefore, $$\dfrac{6}{5}$$ is not a proper fraction.
Question 9
1 / -0

Evaluate : $$0.75 - 0.0075$$.

A
$$0.7405$$

B
$$0.7425$$

C
$$0.7415$$

D
$$0.7525$$

Solution

$$0.7500$$
$$- 0.0075$$
_________
$$0.7425$$
_________
$$\therefore$$ Required difference $$= 0.7425$$.
Question 10
1 / -0

Evaluate the missing term:
$$301.01 - 0.101 =$$ ___ $$+ 198.01$$

A
$$103.119$$

B
$$103.101$$

C
$$102.901$$

D
$$102.899$$

Solution

Requried number $$ = 301.01 - 0.101 - 198.01$$
$$= 301.01 - 198.111 = 102.899$$

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Fractions and Decimals Test - 17

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Fractions and Decimals Test - 17

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Question 1

$$\displaystyle \frac{72}{6}$$

$$\displaystyle \frac{73}{6}$$

$$\displaystyle \frac{108}{6}$$

$$\displaystyle \frac{85}{6}$$

Solution

Question 2

$${3\dfrac {1}{12}}$$

$${3\dfrac {2}{12}}$$

$${3\dfrac {3}{12}}$$

$${2\dfrac {14}{12}}$$

Solution

Question 3

I, III, II

II, I, III

II, III, I

III, I, II

Solution

Question 4

$$\displaystyle \frac{25}{26}$$

$$\displaystyle \frac{12}{13}$$

$$\displaystyle \frac{15}{14}$$

$$\displaystyle \frac{19}{20}$$

Solution

Question 5

$$\dfrac{4}{3}$$

$$\dfrac{3}{2}$$

$$\dfrac{5}{3}$$

$$\dfrac{7}{11}$$

Solution

Question 6

$$1073.84$$

$$1073.76$$

$$1073.04$$

None of these

Solution

Question 7

$$449.28$$

$$419.17$$

$$429.17$$

$$439.28$$

Solution

Question 8

$$\dfrac{2}{3}$$

$$\dfrac{3}{4}$$

$$\dfrac{5}{7}$$

$$\dfrac{6}{5}$$

Solution

Question 9

$$0.7405$$

$$0.7425$$

$$0.7415$$

$$0.7525$$

Solution

Question 10

$$103.119$$

$$103.101$$

$$102.901$$

$$102.899$$

Solution

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