Fraction as an Operator 'Of'

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.

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

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

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

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

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

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

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

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

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. $4$

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