model 3 fraction of numbers Practice Questions Answers Test with Solutions & More Shortcuts

Question : 16

$2/3$ of three-fourth of a number is :

a) $17/12$ of the number

b) $8/9$ of the number

c) $1/3$ of the number

d) $1/2$ of the number

Answer: (d)

$2/3 × 3/4 = 1/2$

Question : 17

$1.\ov{27}$ in the form $\text"p"/\text"q"$ is equal to

a) $11/14$

b) $14/11$

c) $73/100$

d) $127/100$

Answer: (b)

1.$\ov{27}$ =1$27/99 = 1{3}/11 = 14/11$

Question : 18

Which of the following fraction is greater than $3/4$ but less than $5/6$ ?

a) $9/10$

b) $4/5$

c) $1/2$

d) $2/3$

Answer: (b)

Decimal equivalent of :

$3/4$ = 0.75 and $5/6$ = 0.833

Now, $2/3$ = 0.66, $1/2$ = 0.5 ,

$4/5$ = 0.8 and $9/10$ = 0.9

Clearly, $4/5$ lies between $3/4$ and $5/6$.

Question : 19

In a class, $3/5$ of the students are girls and rest are boys. If $2/9$ of the girls and $1/4$ of the boys are absent. What part of the total number of students are present?

a) $17/25$

b) $18/49$

c) $23/36$

d) $23/30$

Answer: (d)

Let the total number of students in a class be x

According to question,

Number of girls = $3/5$ x

and number of boys = x – $\text"3x"/5$ = $2/5$ x

Number of girls who are absent

=$3/5 × 2/9$x = $\text"6x"/45$

and number of boys who are absent

=$2/5 × 1/4$ × x = $\text"x"/10$

Total number of students who are present

= x - $\text"6x"/45 - \text"x"/10$

= $\text"(90 – 12 -9)x"/90$

= $\text"69x"/90 = \text"23x"/90$

Therefore, the $23/30$ part of the students are present in the class.

Question : 20 [SSC CGL 2000]

Half of 1 per cent written as a decimal is—

a) 0.005

b) 0.05

c) 0.02

d) 0.2

Answer: (a)

$1/2$ of 1% = $1/2 × 1/100 = {0.01}/2$ = 0.005

IMPORTANT quantitative aptitude EXERCISES

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