Ratio a:b:c and Its Simplification

Q.

If $\text{Rs.}2400$ is divided among three people A, B and C respectively in the ratio $2:3:5,$ then the share of B will be

1. $240$

2. $480$

3. $500$

4. $720$

Q.

what is the share of B if we divide Rs. 4500 between A and B in the ratio 1:2 ?

1. 4000

2. 6000

3. 5000

4. 3000

Q.

On converting 0.45 into percentage will give you ___%

Q.

Find the ratio between $5$days to $5$weeks.

Q. The value $11\frac{7}{8}$ of $5\frac{31}{45}÷76$ is:

1. None of these
2. 
3. 
4. 

Q.

simplified form of 10:20:30 is ___

1. 1:3:4

2. 1:2:3

3. 1:3:2

4. 3:2:1

Q.

Convert the ratio $24:25$ to percentage.

1. 93%

2. 96%

3. 92%

4. 95%

Q.

A's share when we divide Rs. 78, 345 between A and B in the ratio 6:11 is Rs. ___

1. 27, 651.1

2. 27, 641.176

3. 27, 651.176

4. 37, 651.176

Q. There are $x$ students in a class. If there are $y$ girls, then find the ratio of number of boys to the total number of students.

1. $(x+y):x$
2. $(x-y):y$
3. $y:x$
4. $(x-y):x$

Q.

simplify $1:\frac{1}{3}:\frac{1}{5}$

1. 14:5: 3

2. 15:3: 3

3. 15:5: 3

4. 15:5: 2

Q.

For comparison by ratio, the quantities must have the same ___ .

Q.

A certain amount has been divided into two parts in the ratio 2:7 . If the second part is Rs. 210 . Total amount is Rs. ___

Q. The antecedent in the ratio $\frac{1}{2}:\frac{1}{4}$ is

1. $\frac{1}{2}$
2. $\frac{1}{4}$
3. 2
4. 4

Q.

Pranshu wants to divide Rs$28$ between his sons Shantanu and Prayas in the ratio of their ages.If Shantanu is $8$ years old and Prayas is $6$ years old, Find how much will each get?

Q. In the ratio $5:16$, the antecedent is and the consequent is .

1. $5$
2. $16$
3. $\frac{5}{16}$
4. $\frac{16}{5}$

Q.

Question 3 (i)

Find the product:
$\frac{9}{2}\times \left(\frac{-7}{4}\right)$

Q. Convert the following into percentage.
$\frac{5}{8}$.

1. $62.5\%$
2. $65.5\%$
3. $66.6\%$
4. $64\%$

Q.

In a place, bananas cost Rs. 24 per dozen while 10 apples are sold for Rs 100. Then how many times an apple is costlier than a banana?

1. three times

2. four times

3. five times

4. They have the same price

Q. If $A:B=\frac{1}{2}:\frac{3}{8},B:C=\frac{1}{3}:\frac{5}{9}$ and $C:D=\frac{5}{6}:\frac{3}{4}$, then the ratio $A:B:C:D$ is

1. $4:6:9:10$
2. $6:8:9:10$
3. $8:6:10:9$
4. $6:4:8:10$

Q.

How to find out the ratio of any number?

Q.

If $a,b,c,d$ are in proportion, then

1. $ab=cd$

2. $ad=bc$

3. $ac=bd$

4. $\frac{a}{b}=\frac{d}{c}$

Q.

We can have ratio between two quantities only.

1. True

2. False

Q. Convert the following into percentage.
$\frac{2}{3}$.

1. $66\%$
2. $65\%$
3. $33\%$
4. $66.67\%$

Q. The three quantities $a,b,c$ are said to be in continued proportion if

1. $ab=c$
2. $a+b=c$
3. $b^2=a+c$
4. $b^2=ac$

Q.

10:30:40 is same as 1:3:4

1. True

2. False

Q.

The acute angles of a right-angled triangle are in the ratio $2:3$. The measures of these angles are………………….

1. $28,62$

2. $36,54$

3. $40,50$

4. $30,45$

Q. Benjamin's monthly salary is 250 dollars. He spent 60% of his salary. How much money did he spend?

1. 40 dollars
2. 20 dollars
3. 150 dollars
4. 200 dollars

Q.

In a box, the ratio of the number of red marbles to that of blue marbles is $4:7$. which of the following could be the total number of marble in the box?

1. $14$
2. $21$
3. $22$
4. $28$

Q.

simplified form of 10:20:30 is ___

1. 1:2:3

2. 1:3:2

3. 3:2:1

4. 1:3:4

Q.

Write the given ratio in the simplest form: $\frac{1}{15}:\frac{1}{25}$