## 22nd SSC CGL Tier II level Question Set, 1st on topic Ratio and Proportion

This is the 22nd question set of 10 practice problem exercise for SSC CGL Tier II exam and 1st on topic Ratio and Proportion. Students should complete this question set in prescribed time first and then only refer to the corresponding solution set for extracting maximum benefits from this resource. This set of 10 problems being a bit more difficult than usual, 15 minutes answering time is given.

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.**

### 22nd question setâ€”10 problems for SSC CGL Tier II exam: topic Ratio and Proportion 1â€”Answering time 15 mins

**Problem 1.**

When the son was born, the ratio of ages of his father and mother was 11 : 10. When the son will be twice his present age the ratio of the ages of father and mother will be 19 : 18. What is the ratio of ages of father and mother at present?

- 16 : 5
- 17 : 16
- 15 : 14
- 14 : 13

#### Problem 2.

A man divides his property so that his son's share to his wife's and wife's share to his daughter's both are as in the ratio 3 : 1. If the daughter gets Rs.10000 less than the son, value of the whole property is,

- Rs.16250
- Rs.16000
- Rs.17000
- Rs.18250

#### Problem 3.

In a partnership business, B's capital was half of A's. If after 8 months, B withdrew half his capital and after 2 months more A withdrew one-fourth of his capital, then the profit ratio of A and B at the end of the year will be,

- 2 : 5
- 23 : 10
- 10 : 23
- 5 : 2

#### Problem 4.

A's income is Rs.140 more than B's income and C's income is Rs.80 more than D's income. If the ratio of A's and C's incomes is 2 : 3 and the ratio of B's and D's incomes is 1 : 2, then the incomes of A, B, C and D (in Rs.) are respectively,

- 320, 180, 480, and 360
- 400, 260, 600, and 520
- 300, 160, 600, and 520
- 260, 120, 320, and 240

#### Problem 5.

The ratio of amount of work done by $(x+1)$ workers in $(x+2)$ days and that done by $(x-1)$ workers in $(x+1)$ days is 6 : 5. Then the value of $x$ is,

- 16
- 17
- 15
- 14

#### Problem 6.

If $x$ runs are scored by A, $y$ runs are scored by B and $z$ runs are scored by C, then $x:y=y:z=3:2$. If total number of runs scored by A, B and C is 342, the runs scored by each would respectively be,

- 189, 126, 84
- 162, 108, 72
- 144, 96, 64
- 180, 120, 80

#### Problem 7.

If 25 less are selected while 50 less had applied, the ratio of selected to unselected would have been 9 : 4. So, how many candidates had applied if the ratio of selected to unselected were 2 : 1?

- 500
- 125
- 250
- 375

#### Problem 8.

Before a war the ratio of planes to tanks in an army was 3 : 5. During the war 800 planes and 1000 tanks were destroyed. The ratio of planes to tanks became 1 : 2. What is the number of tanks after the war?

- 2000
- 4000
- 1000
- 3000

#### Problem 9.

If $A: B=\displaystyle\frac{1}{2}:\displaystyle\frac{1}{3}$, $B:C=\displaystyle\frac{1}{5}:\displaystyle\frac{1}{3}$, then $(A+B):(B+C)$ is,

- 5 : 8
- 6 : 15
- 9 : 10
- 15 : 16

#### Problem 10.

The average of 11 numbers is 36, whereas average of 9 of them is 34. If the remaining two numbers are in the ratio of 2 : 3, find the value of the smaller number between the remaining two.

- 45
- 54
- 36
- 48

For detailed explanations about how the problems are solved quickly using relevant concepts and techniques, refer to,

**SSC CGL Tier II level Solution set 22 Ratio and proportion 1.**

### Answers to the questions

**Problem 1.** Answer: Option c: 15 : 14.

**Problem 2.** Answer: Option a: Rs.16250.

**Problem 3.** Answer: Option b: 23 : 10.

**Problem 4.** Answer: Option b: 400, 260, 600 and 520.

**Problem 5.** Answer: Option a: 16.

**Problem 6.** Answer: Option b: 162, 108, 72.

**Problem 7.** Answer: Option d: 375.

**Problem 8.** Answer: Option a: 2000.

**Problem 9.** Answer: Option d: 15:16.

**Problem 10.** Answer: Option c: 36.

**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 questions sets 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 solved question set 25 on mixture or alligation 2**

**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*

**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 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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