Fraction as an Operator 'Of'

Q. Salil wants to put a picture in a frame. The picture is $7\frac{3}{5}$ cm wide. To fit in the frame the picture cannot be more than $7\frac{3}{10}$ cm wide. How much should the width be trimmed?

1. $\frac{1}{10}cm$
2. $\frac{9}{10}cm$
3. $\frac{7}{10}cm$
4. $\frac{3}{10}cm$

Q.

Solve:

$\frac{2}{5}\times -\frac{3}{7}-\frac{1}{14}-\frac{3}{7}\times \frac{3}{5}$

Q.

Question 23

$\frac{2}{3}$ of 27 is___

Q.

After reading $\frac{4}{9}th$ of a book, 30 pages are left. How many pages are there in the book?

1. 54

2. 36

3. 24

4. 60

Q.

Find: $2.48÷4$.

Q. Question 5(i)
Find
$\left(a\right)\frac{1}{2}of\left(i\right)24\left(ii\right)46$

Q.

How many $\frac{3}{6}$ make one whole?

Q.

Question 69 (i)

Reduce the following rational number in its lowest form:
$\frac{-60}{72}$

Q. $2/5$ of total number of students of a school come by car while $1/4$ of students come by bus to school. All the other students walk to school of which $1/3$ walk on their own and the rest are escorted by their parents. If $224$ students come to school walking on their own, how many students study in the school?

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. 40
2. 8
3. 20
4. 30

Q.

Identify the shaded region in the figure. A and B are two sets represented by the circles. U is the universal set, which is represented by the rectangle.

1. B- (AUB)

2. A-(AUB)

3. U-B'-( A∩B)

4. A - B

Q. Find the third proportional to 8 and 12.

Q.

Question 51

Answer True/False.

$t$ minutes are equal to 60$t$ seconds.

Q. The Indian cricket team won 4 more matches than it lost against New Zeland. If India won $\frac{3}{5}$ of its matches, how many matches did India play ?

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

Q.

Find: $100.01\times 1.1$

Q.

What fraction is 2/5 ?

1. Improper fraction

2. Mixed fraction

3. Unit fraction

4. Proper fraction

Q. Multiply the following fraction.
$3\frac{2}{5}\times \frac{4}{7}$

Q. $A,B$ and $C$ can do a piece of work in 20, 30 and 60 days respectively. In how many days can $A$ do the work if he is assisted by $B$ and $C$ on every third day?

1. $12$ days
2. $16$ days
3. $15$ days
4. $18$ days

Q. Question 1 (i)
Find
$\frac{1}{4}\text{of}\text{(a)}\frac{\text{1}}{\text{4}}\text{(b)}\frac{\text{3}}{\text{5}}\text{(c)}\frac{\text{4}}{\text{3}}$

Q. Question 5(iv)
Find
$\left(d\right)\frac{4}{5}of\left(i\right)20\left(iii\right)35$

Q.

Out of the 10 apples that I had, $\frac{2}{5}$ of them were spoilt. After selling off some of the fresh ones, I was left with $\frac{1}{3}$ of the fresh apples. Half of the remaining apples were eaten up by my friend. Then the number of apples left with me is

1. 1

2. 0

3. 2

4. 3

Q. Multiply the following fraction.
$6\frac{2}{4}\times \frac{7}{9}$

Q. Geeta read $\frac{3}{8}$ of a book on one day and $\frac{4}{5}$ of the remaining on another day. Find the total number of pages in the book, if $60$ pages are left unread after the second day.

1. $430$
2. $400$
3. $480$
4. $500$

Q.

Question 42

State whether the given statements are true or false
$\text{One hour}={60}^2\text{seconds}$

Q.

Question 2(g) :

Solve:

$1-\frac{2}{3}$

We can write , $(1=\frac{3}{3})$

Q. Question 1 (ii)
Find
$\frac{\text{1}}{\text{7}}\text{of}\left(\text{a)}\frac{\text{2}}{\text{9}}\right(\text{b)}\frac{\text{6}}{\text{5}}\text{(c)}\frac{\text{3}}{\text{10}}$

Q.

From $6$ different novels and$3$ different dictionaries, $4$ novels and$1$ dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. The number of such arrangements is

1. at least$500$ but less than$750$

2. at least$750$ but less than$1000$

3. at least$1000$

4. less than$500$

Q.

A certain game was played by 18 players as a team, in which only ${\frac{2}{3}}^{rd}$ of the team actually played the game. The rest were reserve players , ready to replace the main members if they get injured. How many reserve players did this team have?

1. 12

2. 6

3. 

4. 

Q. Find $101.01\times 0.01$

Q.

Solve

$7m+\frac{19}{2}=13$