## Fifth SSC CGL level Question Set, topic Arithmetic Ratio & Proportion

This is the Fifth question set of 10 practice problem exercise for SSC CGL exam on topic Arithmetic Ratio & Proportion. Students must complete this question set in prescribed time first and then only refer to the corresponding solution set.

It is emphasized here that answering in MCQ test is not at all the same as answering in a school test where you need to derive the solution in perfectly elaborated steps.

In MCQ test instead, you need basically to deduce the answer in shortest possible time and select the right choice. None will ask you about what steps you followed.

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

Actual problem solving happens in items 3 and 4 above. But how to do that?

You need to use **your problem solving abilities** only. There is no other recourse. You can improve this problem solving skill significantly by intelligent and systematic practice.

### Recommended reading before the test

#### Concept tutorials on Arithmetic Ratios and related topics

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

**Basic concepts on Ratio and Proportion**

**Problems on mixing liquids and based on ages**

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

To check the * answers* refer to the

*at the end.*

**link of the corresponding solution set 5**### Fifth question set- 10 problems for SSC CGL exam: topic Arithmetic Ratio & Proportion - time 12 mins

**Q1.** Ratio of ages of A and B is 2 : 3 and between B and C is 4 : 5, while the total age of C and A is 46 years. Age of B in years is,

- 16
- 48
- 24
- 54

**Q2.** Instead of dividing 117 among A, B, and C in the ratio of $\displaystyle\frac{1}{2} : \displaystyle\frac{1}{3} : \displaystyle\frac{1}{4}$, it was divided by mistake in the ratio of 2 : 3 : 4. Who gains most and by how much because of the mistake?

- B, 3
- A, 28
- C, 20
- C, 25

**Q3.** After replacing an old member by a new member it was found that the average age of five members of a club remained same as it was three years back. The difference between the ages of two members involved in replacement is,

- 10 years
- 2 years
- 15 years
- 3 years

**Q4.** A container has in it a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture is replaced by 9 litres of liquid B, the ratio of A and B changes to 7 : 9. How many litres of liquid A was there to start with?

- 25
- 10
- 20
- 21

**Q5.** Five members in a team were weighed one by one and after each weighing the average weight increased by 1 kg. How much is the difference in weights in kg of the first and last player?

- 5
- 8
- 4
- 20

**Q6.** The students in three classes are in the ratio of 4 : 6 : 9. If 12 students are increased in each class, the ratio changes to 7 : 9 : 12. Then the total number of students in the three classes before the increase was,

- 100
- 76
- 95
- 114

**Q7.** Two vessels contain milk and water in the ratio 3 : 2 and 7 : 3. Find the ratio in which the contents of the two vessels have to be mixed to get a new mixture in which the ratio of milk and water is 2 : 1.

- 1 : 2
- 2 : 1
- 1 : 4
- 4 : 1

**Q8.** A person distributes his pens among four friends A, B, C and D in the ratio, $\frac{1}{3} : \frac{1}{4} : \frac{1}{5} : \frac{1}{6}$. What is the minimum number of pens that the person should have?

- 65
- 57
- 45
- 75

**Q9.** Sum of three numbers is 68. If the ratio of the first to the second is 2 : 3 and the second to the third is 5 : 3, then the second number is,

- 58
- 30
- 20
- 48

** Q10.** A milk seller wants to make a profit of $5{\%}$ by selling his milk diluted with water at the cost price of milk he purchased. What should be the ratio in which he need to mix water to his purchased milk?

- 1 : 2
- 2 : 5
- 1 : 20
- 1 : 4

You will find the answers and the detailed conceptual solutions to these questions in **SSC CGL level Solution Set 5, *** Arithmetic Ratio & Proportion 2*.

**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 Question Set 68, Ratio Proportion 6**

**SSC CGL level Solution Set 31, Ratio and 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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