Fraction as an Operator 'Of'

Q. Question 121
Huma, Hubna and Seema received a total of Rs . 2016 as monthly allowance from their mother such that Seema gets $\frac{1}{2}$ of what Hubna gets and Huma gets $1\frac{2}{3}$ times Seema's share. How much money do the three sisters get individually?

Q. Select those which can be written as a rational number with denominator 7 in their lowest form
$\frac{7}{8},\frac{49}{14},\frac{-56}{28},\frac{63}{-21},\frac{8}{-7},\frac{-140}{-28}$ [1 mark]

Q. Question 119
$\frac{1}{6}$ of the class students are above average, $\frac{1}{4}$ are average and rest are below average. If there are 48 students in all, how many students are below average in the class?

Q. Simplify: $(\frac{13}{15}-\frac{3}{5})÷(\frac{13}{15}+\frac{3}{5})$

Q. A library has $52$ video-tapes that can be checked out. On Monday the librarian counted $17$ video-tapes still on the shelf. How many video-tapes were checked out from the library?

1. $69$
2. $45$
3. $44$
4. $35$

Q. Question 119
$\frac{1}{6}$ of the class students are above average, $\frac{1}{4}$ are average and rest are below average. If there are 48 students in all, how many students are below average in the class?

Q. If $\frac{2}{7}$ of 14 apples are spoilt, how many are left?

1. 28
2. 12
3. 10
4. 35

Q.

$\frac{3}{7}\text{of}\frac{2}{5}\text{is equal to}$ _____.

1. $\frac{29}{35}$
2. $\frac{5}{35}$
3. $\frac{1}{35}$
4. $\frac{6}{35}$

Q. Question 121
Huma, Hubna and Seema received a total of Rs . 2016 as monthly allowance from their mother such that Seema gets $\frac{1}{2}$ of what Hubna gets and Huma gets $1\frac{2}{3}$ times Seema's share. How much money do the three sisters get individually?

Q. If $\frac{2}{7}$ of 14 apples are spoilt, how many are left?

1. 28
2. 12
3. 10
4. 35

Q.

If I sell $\frac{4}{5}th$ of $10$ apples, how many are left?

1. $4$

2. $5$

3. $2$

4. $8$

Q. A book consists of 216 pages. During last week, Suresh read $\frac{3}{4}$ of the book. How many pages did he read?

1. 126
2. 162
3. 116
4. 161

Q. A fraction is a part of something.

1. True
2. False

Q. The average age of $6$ students is $11$ years. If two more students of age $14$ and $16$ years join their average will become:

1. $12$ years
2. $13$ years
3. $12\frac{1}{2}$ years
4. $11\frac{1}{2}$ years

Q.

I have 14 apples with me of which ${\frac{2}{7}}^{th}$ of them were spoilt. After selling off some of them, I was left with ${\frac{1}{5}}^{th}$ of the fresh apples. Half of the remaining apples were eaten up by my wife.

Enter the total number of apples which are left with me. ___

Q. If I sell ${\frac{4}{5}}^{th}$ of $10$ apples, how many are left?

1. $5$
2. $2$
3. $4$
4. $8$

Q.

The figure below shows a circle divided into 3 equal parts. The shaded region corresponds to ${\frac{2}{3}}^{rd}$ of the circle. If the unshaded region corresponds to ${\frac{a}{3}}^{rd}$ of the circle. Then, the value of a is ___.

Q. A book consists of 216 pages. During last week, Suresh read $\frac{3}{4}$ of the book. How many pages did he read ?

1. 126
2. 162
3. 116
4. 161

Q. Indian cricket team won 4 more matches than it lost to New Zealand. If it won ${\frac{3}{5}}^{\text{th}}$ of its matches, how many matches did India play ?

1. 8
2. 20
3. 30
4. 40

Q. If $0.75:x::5:8$, then $x$ is equal to

1. $1.25$
2. $1.12$
3. $1.30$
4. $1.20$