## 23rd SSC CGL Tier II level Question Set, 2nd on topic Ratio and Proportion

This is the 23rd question set of 10 practice problem exercise for SSC CGL Tier II exam and 2nd 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.

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.**

### 23rd question set—10 problems for SSC CGL Tier II exam: topic Ratio and Proportion 2—Answering time 12 mins

**Problem 1.**

Ratio of number of boys to the number of girls in a school of 432 students is 5 : 4. When some new boys and girls are admitted, the number of boys increased by 12 and the ratio of boys to girls changed to 7 : 6. The number of new girls admitted is,

- 12
- 14
- 20
- 24

**Problem 2.**

If by increasing the price of a ticket in the ratio 8 : 11 the number of tickets sold falls in the ratio 23 : 21 then what is the increase in revenue if revenue before increase in price of ticket were Rs.36800?

- Rs.7850
- Rs.12850
- Rs.9400
- Rs.21250

**Problem 3.**

Rs.2420 were divided among A, B and C so that A : B = 5 : 4 and B : C = 9 : 10. Then C gets,

- Rs.900
- Rs.680
- Rs.950
- Rs.800

**Problem 4. **

In a regiment the ratio between the number of officers to soldiers was 3 : 31 before a battle. In the battle 6 officers and 22 soldiers were killed and the ratio became 1 : 13. The number of officers before the battle was,

- 28
- 21
- 38
- 31

**Problem 5.**

If the three numbers in the ratio 3 : 2 : 5 be such that the sum of their squares is equal to 1862, then which is the middle number?

- 13
- 14
- 15
- 16

**Problem 6.**

In a college union there are 48 students. The ratio of number of boys to number of girls is 5 : 3. The number of girls to be added to the union so that the ratio of boys to girls becomes 6 : 5 is,

- 7
- 6
- 17
- 12

**Problem 7.**

A and B start an enterprise together with A as active partner. A invests Rs.4000 and Rs.2000 more after 8 months. B invests Rs.5000 and withdraws Rs.2000 after 9 months. Being the active partner, A takes Rs.100 as allowance from the profit. What is the share of B if the profit for the year is Rs.6700?

- Rs.3250
- Rs.3350
- Rs.2800
- Rs.2700

**Problem 8.**

Annual incomes of Abhi and Riju are in the ratio 3 : 2, while the ratio of their expenditures is 5 : 3. If at the end of the year each saves Rs.1000, the annual income of Abhi is,

- Rs.9000
- Rs.8000
- Rs.6000
- Rs.7000

**Problem 9.**

The ratio of sum of salaries of A and B to the difference of their salaries is 11 : 1 and the ratio of sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A's salary is the highest and C's the lowest, then what is B's salary, given total of their salaries to be Rs.182000?

- Rs.50000
- Rs.86400
- Rs.60000
- Rs.72000

**Problem 10.**

What is the fourth proportional to 189, 273 and 153?

- 117
- 187
- 299
- 221

For detailed conceptual quick solutions refer to the companion solution set,

**SSC CGL Tier II level Solution Set 23 Ratio and Proportion 2.**

The answers are given below.

### Answers to the questions

**Problem 1.** Answer: Option d: 24.

**Problem 2.** Answer: Option c: Rs.9400.

**Problem 3.** Answer: Option d: Rs.800.

**Problem 4.** Answer: Option b: 21.

**Problem 5.** Answer: Option b: 14.

**Problem 6.** Answer: Option a: 7.

**Problem 7.** Answer: Option d: 2700.

**Problem 8.** Answer: Option c: 6000.

**Problem 9.** Answer: Option c: Rs.60000.

**Problem 10.** Answer: Option d: 221.

**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 SSC CGL level tricky 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 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 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 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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