Ratio - Aptitude MCQ Questions and Solutions with Explanations Page-13 section-3

121.
In a school, $$\frac{5}{{12}}$$ of the number of students are girls and the rest are boys. $$\frac{4}{7}$$ of the number of boys are below 14 years of age, and $$\frac{2}{5}$$ of the number of girls are 14 years or above 14 years of age. If the number of students below 14 years of age is 1120, then the total number of students in the school is:

A. 1900

B. 1820

C. 1290

D. 1920

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122.
How much will be decreased to each terms of ratio 16 : 19, so that it will be 7 : 6?

A. 37

B. 36

C. 35

D. 34

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123.
What is the third proportional to 16 and 24?

A. 36

B. 28

C. 34

D. 32

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124.
The salaries of Vipin and Dinesh are in the ratio 5 : 8. If the salary of each is increased by 4,800, then new ratio becomes 7 : 10. What is Vipin's salary?

A. Rs. 12,000

B. Rs. 10,000

C. Rs. 13,000

D. Rs. 12,500

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125.
The ratio of the length and the perimeter of a rectangle is 2 : 7. What is the ratio of the length and breadth of the rectangle?

A. 4 : 3

B. 4 : 5

C. 5 : 4

D. 5 : 3

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126.
The ratio of the income of A and B in the last year was 4 : 3. The ratios of their individual incomes in the last year and the present year are 3 : 4 and 5 : 6, respectively. If their total income in the present year in Rs. 24.12 lakhs, then the sum of the income (in Rs. lakh) of A in the last year and that of B in the present year is:

A. 22.17

B. 10.98

C. 20.52

D. 21.28

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Answer & Solution

Answer: Option C

Solution:

\[\begin{array}{*{20}{c}} {}&{{\text{Last year}}}&{{\text{Current year}}} \\ {{\text{A}} \to }&{{3_{ \times 5 \times 4}} = 60}&{{4_{ \times 5 \times 4}} = 80} \\ {{\text{B}} \to }&{{5_{ \times 3 \times 3}} = 45}&{{6_{ \times 3 \times 3}} = 54} \end{array}\]
The ratio of income of A and B in the last year is 4 : 3. So we're making last year's income 60, 45.
Present age ratio of both = 80 : 54
Sum of present age of both = 80 + 54 = 134 units
134 units → 24.12 lakh
1 unit → $$\frac{{24.12}}{{134}}$$
Sum of income of A in final year and income of B in present year = 60 + 54 = 114
114 units → $$\frac{{24.12}}{{134}}$$ × 114 = 20.52
Sum of income of A in final year and income of B in present year = 20.52 lakh

Alternate solution
\[\begin{array}{*{20}{c}} {}&{\text{A}}&{\text{B}} \\ {{\text{Previous year }} \to }&{4x}&{3x} \end{array}\]
A's present salary : Ratio of final year to present year = 3 : 4
3 units = 4x
4 units $$ = 4x \times \frac{4}{3} = \frac{{16}}{3}x$$
B's present salary : Final year and present year = 5 : 6
5 units = 3x
6 units $$ = 3x \times \frac{6}{5} = \frac{{18}}{5}x$$
\[\begin{array}{*{20}{c}} {}&{{\text{A}}\,\,\,}&{{\text{B}}\,\,\,} \\ {{\text{Present year }} \to }&{\frac{{16}}{3}x}&{\frac{{18}}{5}x} \end{array}\]
$$\eqalign{ & \frac{{16}}{3}x + \frac{{18}}{5}x = \frac{{134}}{{15}}x \to 24.12{\text{ lakh}} \cr & x = \frac{{24.12 \times 15}}{{134}} \cr} $$
Final year income of A and Present year income of B.
$$\eqalign{ & = 4x + \frac{{18}}{5}x = \frac{{38}}{5}x \cr & \frac{{38}}{5}x \to \frac{{24.12 \times 15}}{{134}} \times \frac{{38}}{5} = 20.52 \cr} $$
Final year income of A and Present year income of B = 20.52 lakh

127.
A man has in all Rs. 640 in the denominations of one-rupee, five-rupee and ten-rupee notes. The number of each type of notes are equal. What is the total number of notes he has?

A. 150

B. 120

C. 100

D. 90

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128.
Rs. 3,600 is divided between Seema, Komal and Rita, such that the ratios of the shares of Seema : Komal = 1.5 : 2 and Komal : Rita = 2 : 2.5. Find Rita's share.

A. Rs. 1,500

B. Rs. 1,300

C. Rs. 1,400

D. Rs. 1,200

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129.
In a factory with 400 employees, the ratio of the number of male employees to that of female employees is 5 : 3. There are 87.5% regular employees in the factory. If 92% of male employees are regular employees, then what is the percentage of regular female employees?

A. 80%

B. 78%

C. 87.5%

D. 85%

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130.
A bag has Rs. 51.25 in the form of 2-rupee, 50-paise and 25-paise coins in the ratio of 3 : 5 : 7. What is the total number of 50-paise coins?

A. 15

B. 35

C. 25

D. 5

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Ratio - Aptitude MCQ Questions and Solutions with Explanations

Answer & Solution

122. How much will be decreased to each terms of ratio 16 : 19, so that it will be 7 : 6?

Answer & Solution

123. What is the third proportional to 16 and 24?

Answer & Solution

124. The salaries of Vipin and Dinesh are in the ratio 5 : 8. If the salary of each is increased by 4,800, then new ratio becomes 7 : 10. What is Vipin's salary?

Answer & Solution

125. The ratio of the length and the perimeter of a rectangle is 2 : 7. What is the ratio of the length and breadth of the rectangle?

Answer & Solution

Answer & Solution

127. A man has in all Rs. 640 in the denominations of one-rupee, five-rupee and ten-rupee notes. The number of each type of notes are equal. What is the total number of notes he has?

Answer & Solution

128. Rs. 3,600 is divided between Seema, Komal and Rita, such that the ratios of the shares of Seema : Komal = 1.5 : 2 and Komal : Rita = 2 : 2.5. Find Rita's share.

Answer & Solution

129. In a factory with 400 employees, the ratio of the number of male employees to that of female employees is 5 : 3. There are 87.5% regular employees in the factory. If 92% of male employees are regular employees, then what is the percentage of regular female employees?

Answer & Solution

130. A bag has Rs. 51.25 in the form of 2-rupee, 50-paise and 25-paise coins in the ratio of 3 : 5 : 7. What is the total number of 50-paise coins?

Answer & Solution

Read More Section(Ratio)

122.
How much will be decreased to each terms of ratio 16 : 19, so that it will be 7 : 6?

123.
What is the third proportional to 16 and 24?

124.
The salaries of Vipin and Dinesh are in the ratio 5 : 8. If the salary of each is increased by 4,800, then new ratio becomes 7 : 10. What is Vipin's salary?

125.
The ratio of the length and the perimeter of a rectangle is 2 : 7. What is the ratio of the length and breadth of the rectangle?

127.
A man has in all Rs. 640 in the denominations of one-rupee, five-rupee and ten-rupee notes. The number of each type of notes are equal. What is the total number of notes he has?

128.
Rs. 3,600 is divided between Seema, Komal and Rita, such that the ratios of the shares of Seema : Komal = 1.5 : 2 and Komal : Rita = 2 : 2.5. Find Rita's share.

129.
In a factory with 400 employees, the ratio of the number of male employees to that of female employees is 5 : 3. There are 87.5% regular employees in the factory. If 92% of male employees are regular employees, then what is the percentage of regular female employees?

130.
A bag has Rs. 51.25 in the form of 2-rupee, 50-paise and 25-paise coins in the ratio of 3 : 5 : 7. What is the total number of 50-paise coins?