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

This is the Fourth question set of 10 practice problem exercise for SSC CGL exam and first 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 link of the corresponding solution set 4 at the end.**

### Fourth question set- 10 problems for SSC CGL exam: topic Arithmetic Ratio & Proportion - time 20 mins

**Q1.** Ratio of incomes of A and B as well as B and C are 3 : 2. If one-third of A's income exceeds one-fourth of C's income by Rs.1000, then B's income in Rs. is,

- 2500
- 3000
- 4000
- 3500

**Q2.** If the cost of pins reduces by Rs. 4 per dozen, 12 more pins can be purchased for Rs. 48. After reduction, the cost of pins per dozen is,

- Rs. 12
- Rs. 8
- Rs. 20
- Rs. 16

**Q3.** A dishonest grocer sells rice at a profit of 10%, but he uses weights 20% less than the marked. His total gain will be,

- 30.5%
- 37.5%
- 40%
- 35%

**Q4.** The smallest integer which when subtracted from both the terms of 6 : 7 results in a ratio less than 16 : 21 is,

- 5
- 4
- 3
- 2

**Q5.** In a vessel A, milk and water are mixed in ratio 8 : 5 and in a second vessel B, in a ratio 5 : 2. In what ratio these two mixtures are to be mixed to get a mixture containing $69\frac{3}{13}$ pc milk?

- 5 : 3
- 2 : 7
- 3 : 5
- 5 : 7

**Q6.** Rs. 180 are to be divided among 66 men and women. Men and women receive total amount in the ratio 5 : 4, but individually men and women receive money in the ratio 3 : 2. The number of women is,

- 42
- 36
- 30
- 46

**Q7.** Water is $1\frac{2}{5}$ times as heavy as a liquid L1 and another liquid L2 is $1\frac{3}{7}$ times as heavy as water. The amount of liquid L2 that must be added to 7 litres of liquid L1 so that the mixture may weigh as much as an equal volume of water will be,

- 5 litres
- 7 litres
- $4\frac{2}{3}$ litres
- $5\frac{1}{6}$ litres

**Q8.** A cricketer with bowling average of 24.85 runs per wicket takes 5 wickets for 52 runs and consequently decreases his average by 0.85. Number of wickets taken by him till last match was,

- 64
- 96
- 72
- 80

**Q9.** Sum of the two terms of a fraction is 11. If 2 is added to both of its terms, the new fraction exceeds the old by $\frac{1}{24}$. Then one term is larger than the other by,

- 1
- 3
- 9
- 5

**Q10.** The incomes of A, B and C are in the ratio of 7 : 9 : 12 and their spendings are in the ratio of 8 : 9 : 15. If A saves $\displaystyle\frac{1}{4}$th of his income, then the savings of A, B and C are in the ratio of,

- 69 : 56 : 99
- 99 : 56 : 69
- 56 : 99 : 69
- 99 : 69 : 56

You will find the answers and the detailed conceptual solutions to these questions in * SSC CGL level Solution Set 4, Arithmetic Ratio & Proportion 1*.

**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**

**Componendo dividendo applied on number system and ratio proportion problems**

**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**

**How to solve a tricky SSC CGL level age ratio problem lightning fast**

**SSC CGL level solved question sets on mixture or alligation**

**SSC CGL level solved question set 78 on mixture or alligation 1**

**SSC CGL level solved question set 85 on mixture or alligation 2**

#### SSC CGL Tier II level solved question sets on mixture or alligation

**SSC CGL Tier II level solved question set 24 on mixture or alligation 1**

**SSC CGL Tier II level question and solution sets on Ratio and Proportion**

**SSC CGL Tier II level Solution Set 23 Ratio proportion 2**

**SSC CGL Tier II level Question Set 23 Ratio proportion 2**

*SSC CGL Tier II level Solution Set 22 Ratio proportion 1*

*SSC CGL Tier II level Question Set 22 Ratio proportion 1*

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

**SSC CGL level Solution Set 84, Ratio proportion 8**

**SSC CGL level Question Set 84, Ratio proportion 8**

**SSC CGL level Solution Set 83, Ratio Proportion 7**

**SSC CGL level Question Set 83, Ratio Proportion 7**

**SSC CGL level Solution Set 76, Percentage 4**

**SSC CGL level Question Set 76, Percentage 4**

**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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