Practice Ratio Multiple Choice Questions Quiz-8 - MCQGeeks.com

Q.1

Two numbers are such that the ratio between them is 4 : 7. If each is increase by 4, the ratio become 3 : 5. The larger number is = ?

36
48
56
64

Q.2

If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and (a + b + c) = 14, then the value of c is = ?

6
7
8
14

Q.3

The ratio of 25^2.5 : 5³ is same as = ?

5 : 3
5 : 6
1 : 25
25 : 1

Q.4

The mean proportional between $$\left( {3 + \sqrt 2 } \right)$$ and $$\left( {12 - \sqrt {32} } \right)$$ is-

$$\sqrt 7 $$
$${\text{2}}\sqrt 7 $$
$${\text{6}}\sqrt 7 $$
$$\frac{{15 - 3\sqrt 2 }}{2}$$

Q.5

94 is divided into two parts in such a way that fifth part of the first and the eighth part of the second are in the ratio 3 : 4. The first part is = ?

30
36
40
28

Q.6

Fourth proportional to (a² - b²), (a² - ab), (a³ + b³) is

a - b
a⁴ + b⁴
a(a² - ab + b²)
a³ - a²b² + b²

Q.7

One - fourth of sixty percent of a number is equal to two - fifths of twenty percent of another number. What is the respective ratio of the first number to the second number ?

4 : 7
5 : 9
8 : 13
Cannot be determine
None of these

Q.8

The total number of boys in a school is 16% more than the total number of girls in the school. What is the respective ratio of the total number of boys to the total number of girls in the school ?

25 : 21
29 : 35
25 : 29
Cannot be determine
None of these

Q.9

A mixture contains alcohol and water in the ratio of 4 : 3. If 5 litres of water is added to the mixture the ratio becomes 4 : 5. The quantity of alcohol in the given mixture is = ?

3 litres
4 litres
15 litres
10 litres

Q.10

In two alloys A and B the ratio of Zinc and Tin is 5 : 2 and 3 : 4 respectively. 7 kg of the alloy A and 21 kg of the alloy B are mixed together to form a new alloy. What will be the ratio of Zinc and Tin tin the new alloy ?

2 : 1
1 : 2
2 : 3
1 : 1

Q.11

The ratio between the third proportional of 12 and 30 and mean proportional of 9 and 25 is -

2 : 1
5 : 1
7 : 15
9 : 14

Q.12

The present of A, B and C are in the ratio of 8 : 14 : 22 respectively. The present ages of B, C and D are in the ratio of 21 : 33 : 44 respectively. Which of the represents the ratio of the present ages of A, B, C and D respectively?

12 : 21 : 36 : 44
12 : 21 : 33 : 44
12 : 22 : 31 : 44
Cannot be determine
None of these

Q.13

The third proportional to 38 and 15 is -

$$\frac{{15 \times 15}}{{38}}$$
$$\frac{{38 \times 15}}{2}$$
$$\frac{{38 \times 38}}{{15}}$$
$$\frac{{15}}{{38 \times 38}}$$

Q.14

If $$\frac{{3x + 5}}{{5x - 2}}{\text{ = }}\frac{2}{3}{\text{,}}$$ then the value of x is

11
19
23
7

Q.15

In an innings of a cricket match, three players A, B and C scored a total of 361 runs. If the ratio of the number of runs scored by A to that scored by B and also number of runs scored by B to that scored by C be 3 : 2, the number of runs scored by A was -

161
171
181
185

Q.16

If a : b = 2 : 3 and b : c = 4 : 5, then (a + b) : (b + c) is equal to-

6 : 8
8 : 6
20 : 27
27 : 20

Q.17

The fourth proportion to 5, 8, 15 is-

18
20
21
24

Q.18

y varies directly as (x + 3) and y = 8 when x = 1. What is the value of y when x = 2 ?

6
10
12
16

Q.19

Rita invested 25% more than sunil. Sunil invested 30% less than Abhinav, who invested Rs. 6000. What is the ratio of the amount that Rita invested to the total amount by all of them together ?

35 : 104
13 : 29
101 : 36
35 : 103
None of these

Q.20

Let $$\frac{{\text{a}}}{{\text{b}}}: - \frac{{\text{b}}}{{\text{a}}} = {\text{x}}:{\text{y}}{\text{.}}$$ If $$\left( {{\text{x - y}}} \right) = $$ $$\left\{ {\frac{{\text{a}}}{{\text{b}}}{\text{ + }}\frac{{\text{b}}}{{\text{a}}}} \right\}{\text{,}}$$ then x is equal to -

$$\frac{{a - b}}{a}$$
$$\frac{{a + b}}{a}$$
$$\frac{{a + b}}{b}$$
None of these

Q.21

The fourth proportional to 0.12, 0.21 and 8 is-

8.9
14
17
56

Q.22

In a mixture of 25 litres the ratio of acid to water is 4 : 1. Another 3 litres of water of water is added to the mixture. The ratio of acid to water in the new mixture is = ?

5 : 2
2 : 5
3 : 5
5 : 3

Q.23

Suppose y varies as the sum of two quantities of which one varies directly as x and the other inversely as x. If y = 6 when x = 4 and y = $${\text{3}}\frac{{\text{1}}}{{\text{3}}}$$ when x = 3, then the relation between x and y is -

$$y = 2x - \frac{8}{x}$$
$$y = x + \frac{4}{x}$$
$$y = 2x + \frac{4}{x}$$
$$y = 2x + \frac{8}{x}$$

Q.24

If 4 years ago the ratio between the ages of P and Q was 5 : 6 and the sum of their ages at present is 52, what is the ratio of their present ages ?

5 : 6
6 : 7
7 : 8
4 : 5

Q.25

If $$\frac{{{\text{a}} + {\text{b}}}}{{\text{c}}} = \frac{{{\text{b}} + {\text{c}}}}{{\text{a}}} = \frac{{{\text{c}} + {\text{a}}}}{{\text{b}}} = {\text{k}},$$ then k is equal to -

0
1
2
a + b + c

Q.26

If x : y = 3 : 4, then the value of (4x - y) : (2x + 3y) is = ?

4 : 9
8 : 9
4 : 3
8 : 3

Q.27

Three numbers are in the ratio 3 : 4 : 5. The sum of the largest and the smallest equals to the sum of the second number and 52. The smallest number is = ?

20
27
39
52

Q.28

The boys and girls in a college are in the ratio 3 : 2. If 20% of the boys and 25% of the girls are adults, the percentage of students who are not adults is -

67.5%
58%
78%
82.5%

Q.29

The cost of a table and a chair are in the ratio of 5 : 7. If the cost of chair and table is increased by 20% and 10% respectively, then what will be the new ratio?

16 : 17
55 : 84
60 : 77
Data inadequate
None of these

Q.30

If A varies directly proportional to C and B also varies directly proportional to C, which one of the following is not correct ?

$$\left( {A + B} \right)\alpha \,C$$
$$\left( {A - B} \right)\alpha \,\frac{1}{C}$$
$$\sqrt {AB} \,\alpha \,C$$
$$\frac{A}{B} = {\text{constant}}$$

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