## 68th SSC CGL level Question Set, 6th on topic Ratio Proportion

This is the 68th question set of 10 practice problem exercise for SSC CGL exam and 6th on topic Ratio Proportion. Students must complete this question set in prescribed time first and then only refer to the corresponding solution set for extracting maximum benefits from this resource.

In MCQ test, you need to deduce the answer in shortest possible time and select the right choice.

Based on our analysis and experience we have seen that, for accurate and quick answering, the student

- must have complete understanding of the basic concepts in the topic area
- is adequately fast in mental math calculation
- should try to solve each problem using the basic and rich concepts in the specific topic area and
- does most of the deductive reasoning and calculation in his or her head rather than on paper.

Actual problem solving is done in the fourth layer. You need to use **your problem solving abilities** to gain an edge in competition.

### Recommended reading before taking the test

**Concept Tutorials on related topics**

**Basic concepts on fractions and decimals part 1**

**Basic concepts on Ratio and Proportion**

**How to solve problems on mixing liquids and based on ages**

**Basic and Rich Percentage Concepts for solving difficult SSC CGL problems**

**For answers you will need to refer to companion solution set, link of which you will find at the end.**

### 68th question set - 10 problems for SSC CGL exam: 6th on topic Ratio Proportion- time 12 mins

**Problem 1.**

The ratio of number of boys to girls in a school was 3 : 4 with total number of students as 1554. If the ratio of girls to boys changed to 6 : 7 when 30 more girls joined the school and a few boys left, how many boys left the school?

- 86
- 76
- 84
- 74

**Problem 2.**

The ratio of milk and water in mixtures of four containers A, B, C, and D are respectively, 5 : 3, 2 : 1, 3 : 2 and 7 : 4. Which container then has the minimum quantity of milk relative to water?

- C
- D
- A
- B

**Problem 3.**

Two blends of tea costing Rs.40 per kg and Rs.35 per kg are mixed in a ratio of 3 : 2 by weight. If one-fifth of the mixture is sold at Rs.46 per kg and the rest at Rs.55 per kg, the profit percentage would be,

- 20
- 50
- 30
- 40

**Problem 4.**

When two numbers, in ratio 5 : 7, are reduced each by 40, the ratio changes to 17 : 27. The difference of the numbers is,

- 18
- 137
- 50
- 52

**Problem 5.**

Two numbers $a$ and $b$ are increased by 1 to form the ratio of two numbers thus formed, $c : d$. When again the new numbers are increased by 1 each, the ratio becomes $1:2$. What is the sum of the original two numbers?

- 3
- 5
- 4
- 6

#### Problem 6.

The expenditure in a hostel is partly variable, and directly proportional to the number of students, rest being a fixed amount. If the expenditures were Rs.8400 for 120 students and Rs.10000 for 150 students, what would be the expenditure for 330 students?

- Rs.22400
- Rs.19600
- Rs.18000
- Rs.21500

** Problem 7.**

Two sugar mixtures of concentrations 30% and 40% are mixed together to form a mixture of sugar concentration of 45%. What is the ratio in which the two mixtures are mixed?

- 1 : 3
- 5 : 2
- 2 : 3
- 2 : 5

** Problem 8.**

Two numbers are in ratio of 3 : 4 and their LCM is 120. What is the sum of the numbers?

- 50
- 55
- 60
- 70

**Problem 9.**

Three containers A, B, and C contain milk and water in the ratio of 5 : 2, 4 : 1, and 4 : 1 respectively. If the capacities of A, B, and C are in the ratio of 3 : 2 : 1 and a mixture is made taking one-third from the first container, one-half from the second and one-seventh from the third, the percentage of milk in the new mixture will be,

- 76
- 70
- 72
- 68

** Problem 10.**

In a library, the ratio of science books to other books is 7 : 2, the total number of science books being 1512. When a new lot of science books were added to the library collection, the ratio of science books to other books changed to 15 : 4. What was the number of books in the new lot of science books?

- 97
- 205
- 108
- 100

You will find the answers and the detailed conceptual solutions to these questions in * SSC CGL level Solution Set 68, Ratio Proportion 6*.

**Resources that should be useful for you**

* 7 steps for sure success in SSC CGL tier 1 and tier 2 competitive tests* or

*to access all the valuable student resources that we have created specifically for SSC CGL, but*

**section on SSC CGL****generally for any hard MCQ test.**

**Concept Tutorials on related topics**

**Basic concepts on fractions and decimals part 1**

**Basic concepts on Ratio and Proportion**

**How to solve problems on mixing liquids and based on ages**

**Basic and Rich Percentage Concepts for solving difficult SSC CGL problems**

#### Efficient solution techniques on related topics

**How to solve SSC CGL level arithmetic mixture problems in a few simple steps 1**

**How to solve SSC CGL level arithmetic mixture problems in a few simple steps 2**

**How to solve SSC CGL level number and age ratio problems lightning fast**

**Other SSC CGL question and solution sets on Ratio & Proportion and Percentage**

**SSC CGL level Solution Set 69, Percentage 3**

**SSC CGL level Question Set 69, Percentage 3**

**SSC CGL level Solution Set 68, Ratio Proportion 6**

**SSC CGL level Solution Set 31, Ratio Proportion 5**

**SSC CGL level Question Set 31, Ratio and Proportion 5**

**SSC CGL Level Solution Set 25, Percentage, Ratio and Proportion 4**

**SSC CGL level Question Set 25, Percentage, Ratio and Proportion 4**

**SSC CGL level Solution Set 24, Arithmetic Ratio & Proportion 3**

**SSC CGL level Question Set 24, Arithmetic Ratio & Proportion 3**

**SSC CGL level Solution Set 5, ****Arithmetic Ratio & Proportion 2**

**SSC CGL level Question Set 5, ****Arithmetic Ratio & Proportion 2**

**SSC CGL level Solution Set 4, Arithmetic Ratio & Proportion 1**

**SSC CGL level Question Set 4, ****Arithmetic Ratio & Proportion 1**

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