MCQ: Ratio and Proportion - 2 - SSC CGL MCQ

# MCQ: Ratio and Proportion - 2 - SSC CGL MCQ

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## 15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Ratio and Proportion - 2

MCQ: Ratio and Proportion - 2 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Ratio and Proportion - 2 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Ratio and Proportion - 2 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Ratio and Proportion - 2 below.
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MCQ: Ratio and Proportion - 2 - Question 1

### 60% population of a town is literate. The ratio of literate males to literate females is 5 : 3. The ratio of illiterate males to illiterate females is 5 : 3. In the village, the number of literate females is what percent of the illiterate males?

Detailed Solution for MCQ: Ratio and Proportion - 2 - Question 1

Hence, option A is correct.

MCQ: Ratio and Proportion - 2 - Question 2

### The ratio of the incomes of A and B is 5 : 8 respectively and the sum of their expenditures is Rs. 18,000. If the savings of A is equal to the expenditure of B, what is the sum of their incomes?

Detailed Solution for MCQ: Ratio and Proportion - 2 - Question 2

Let the incomes → A and B = 5x and 8x
Let the expenditure of A = y
Expenditure of B = 18000 – y
Savings of A = 5x – y
5x – y = 18000 – y
x = 3600
So the answer = 5x + 8x = 13 × 3600 = Rs. 46,800
Hence, option C is correct.

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MCQ: Ratio and Proportion - 2 - Question 3

### Vessels A and B contain mixtures of milk and water in the ratio 1 : 5 and 5 : 1 respectively. In what ratio should quantities of the mixtures from A and B be taken to form a mixture in which the ratio of milk to water be in the ratio 1 : 1 respectively?

Detailed Solution for MCQ: Ratio and Proportion - 2 - Question 3

5A + B = 3A + 3B
2A : 2B
A : B = 1 : 1
Hence, option A is correct.

MCQ: Ratio and Proportion - 2 - Question 4

The total number of students in three classes of a school is 297. The ratio of the number of students in 6th class to that in 7th class is 5 : 4 and the ratio of the number of students in 6th class to 8th class is 2 : 3. What is the number of the students in the class which has the highest number of students?

Detailed Solution for MCQ: Ratio and Proportion - 2 - Question 4

Number of students → 6th : 7th : 8th = 5 × 2 : 4 × 2 : 3 × 5 = 10 : 8 : 15

Hence, option C is correct.

MCQ: Ratio and Proportion - 2 - Question 5

A, B and C bought mangoes in the ratio of 8 : 5 : 3 and ate some over the week in the ratio of 5 : 2 : 1 respectively. If A was left with 50% of his mangoes, who was left with least number of mangoes?

Detailed Solution for MCQ: Ratio and Proportion - 2 - Question 5

Let the bought → 8x, 5x and 3x
They ate = 5y, 2y and y
(8x – 5y) = 50% of 8x
8x – 5y = 4x
x : y = 5 : 4

Hence, option C is correct.

MCQ: Ratio and Proportion - 2 - Question 6

The students in three batches of a tuition teacher are in the ratio 3 : 4 : 6. If 240 students are increased in each batch, the ratio changes to  6 : 7 : 9. What was the initial number of students in all three batches?

Detailed Solution for MCQ: Ratio and Proportion - 2 - Question 6

Let the number of students → 3x, 4x and 6x
Use the students of first two batches:

21x + 7 × 240 = 24x + 6 × 240
3x = 240
x = 80
So the answer = (3x + 4x + 6x) = 13x = 13 × 80 = 1040
Hence, option A is correct.

MCQ: Ratio and Proportion - 2 - Question 7

A container has 125 liters of milk. 25 liters milk is replaced by water. This process is done one more time. What is the quantity of water in the resultant mixture?

Detailed Solution for MCQ: Ratio and Proportion - 2 - Question 7

Water = 125 – 80 = 45 liters
Hence, option B is correct.

MCQ: Ratio and Proportion - 2 - Question 8

A sum of Rs. 5085 is divided among A, B and C such that if Rs.  45, Rs.  145 and Rs. 245 be diminished from their shares respectively, the remainders shall be in the ratio of 52 : 19 : 22 respectively. What is the share of A?

Detailed Solution for MCQ: Ratio and Proportion - 2 - Question 8

52x + 19x + 22x = 5085 – 45 – 145 – 245
93x = 4650
x = 50
So the answer = 52x + 45 = 52 × 50 + 45 = Rs. 2,645
Hence, option B is correct.

MCQ: Ratio and Proportion - 2 - Question 9

A vessel contains 60 liters mixture of milk and water in a ratio 5 : 1 respectively. What quantity of the mixture must be replaced with water so the ratio of the milk to water in the resultant mixture becomes 1 : 1?

Detailed Solution for MCQ: Ratio and Proportion - 2 - Question 9

Removed milk = 50 – 30 = 20

Hence, option B is correct.

MCQ: Ratio and Proportion - 2 - Question 10

In 2020, the number of persons in villages A, B and C were in the ratio 2 : 4 : 7 respectively. In 2021 there is an increment of 100%, 50% and 14.29% in the population of villages A, B and C respectively. What is the ratio of the population of villages A, B and C respectively in 2021?

Detailed Solution for MCQ: Ratio and Proportion - 2 - Question 10

Hence, option A is correct.

MCQ: Ratio and Proportion - 2 - Question 11

A mixture contains wine and water in the ratio of 5 : 2 respectively and another mixture contains them in the ratio of 4 : 5 respectively. How many liters of the latter must be mixed with 35 liters of the former so that the resultant mixture must contain equal quantities of wine and water?

Detailed Solution for MCQ: Ratio and Proportion - 2 - Question 11

Water in former = 35 – 25 = 10 liters
Let wine in latter = 4x
Water in latter = 5x
25 + 4x = 10 + 5x
5x – 4x = 25 – 10
x = 15 liters
So the answer = 4x + 5x = 9 × 15 = 135 liters
Hence, option C is correct.

MCQ: Ratio and Proportion - 2 - Question 12

The ratio of salary of A and B is 5 : 7 and that of B and C is 3 : 7. The salary of A is Rs. 45000 and C spends 5% of his salary on rent. What is the rent of C?

Detailed Solution for MCQ: Ratio and Proportion - 2 - Question 12

Hence, option C is correct.

MCQ: Ratio and Proportion - 2 - Question 13

The weights of two friends A and B are in the ratio of 5 : 7 respectively. After some time, A’s weight increased by 20% and the combined weight of both of them increased by 16.67%. If B’s new weight is 40 kg, what was the old weight (in kg) of A?

Detailed Solution for MCQ: Ratio and Proportion - 2 - Question 13

Let the old weights → A and B = 5x and 7x
New weight of A = 120% of 5x = 6x

New weight of B = 14x – 6x = 8x

Hence, option A is correct.

MCQ: Ratio and Proportion - 2 - Question 14

The ratio of the marks of a student in Hindi to that in English is 7 : 10. If the maximum marks of both the subjects are the same and he got 49% marks in Hindi, what is his percentage in both the subjects?

Detailed Solution for MCQ: Ratio and Proportion - 2 - Question 14

If marks in Hindi = 7

Hence, option C is correct.

MCQ: Ratio and Proportion - 2 - Question 15

A person distributed some chocolates among his four children and kept some with him. The eldest three children got chocolates in the ratio 5 : 3 : 4. The total number of chocolates with the father and the youngest child is the same as the total chocolates with the three eldest children. The ratio of chocolates with father and that with all the children is 1 : 2. If the youngest child has 12 chocolates with him, what is the total number of chocolates?

Detailed Solution for MCQ: Ratio and Proportion - 2 - Question 15

Let chocolates of three eldest = 5x + 3x + 4x = 12x
Father + Youngest = 12x
Total = 12x + 12x = 24x

Youngest = 12x – 8x = 4x

Hence, option B is correct.​​​

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## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests