## 28th SSC CGL level Question Set, 5th on topic Number System

This is the 28th question set of 10 practice problem exercise for SSC CGL exam and 5th on topic Number System. Students should complete this question set in prescribed time first and then only refer to the corresponding solution set.

We will repeat here the method of taking a 10 problem test if you have not gone through it already.

### Method for taking this 10 problem test and get the best results from the test set:

**Before start,**go through the tutorials*Numbers, Number system and basic arithmetic operations***,**,*Factorizing or finding out factors*,*HCF and LCM**Basic concepts on fractions and decimals part 1,*or any other short but good material to refresh your concepts if you so require.*Ratio and proportion***Answer the questions**in an undisturbed environment with no interruption, full concentration and alarm set at 12 minutes.**When the time limit of 12 minutes is over,**mark up to which you have answered,**but go on to complete the set.****At the end,**refer to the answers given in the, to mark your score at 12 minutes. For every correct answer add 1 and for every incorrect answer deduct 0.25 (or whatever is the scoring pattern in the coming test). Write your score on top of the answer sheet with date and time.**companion 28th SSC CGL solution set on Number System 5****Identify and analyze**the problems that**you couldn't do**to learn how to solve those problems.**Identify and analyze**the problems that**you solved incorrectly**. Identify the reasons behind the errors. If it is because of**your shortcoming in topic knowledge**improve it by referring to**only that part of concept**from the best source you get hold of. You might google it. If it is because of**your method of answering,**analyze and improve those aspects specifically.**Identify and analyze**the**problems that posed difficulties for you and delayed you**. Analyze and learn how to solve the problems using basic concepts and relevant problem solving strategies and techniques.**Give a gap**before you take a 10 problem practice test again.

Important:bothandpractice testsmust be timed, analyzed, improving actions taken and then repeated. With intelligent method, it is possible to reach highest excellence level in performance.mock tests

**Resources that should be useful for you**

**You may refer to:**

* 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.**

**Tutorials that you should refer to**

*Numbers, Number system and basic arithmetic operations*

*Factorizing or finding out factors*

*Basic concepts on fractions and decimals part 1*

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### 28th question set - 10 problems for SSC CGL exam: topic Number System - Answering time 12 mins

**Problem 1.**

When positive integer A is divided by 5 remainder is 2, and when a second positive integer B is divided by 4 the remainder 1. Which one among the following cannot be the sum of A and B?

- 13
- 14
- 12
- 16

**Problem 2.**

A positive integer $m$ divides a second positive integer $n$ with result 7.55. What can possibly be the value of the remainder of the division among the following?

- 12
- 22
- 18
- 15

**Problem 3.**

Bablu scored a prize point at every round of a village fair game he played. The prize points in a round were, 5 points for 1st position, 4 points for second position and 3 points for third position. If at the end, the product of his points in each round were 2700, how many rounds did he play?

- 5
- 6
- 7
- 8

**Problem 4. **

If $0 \lt a \lt 1$, which one of the following is of minimum value?

- $\displaystyle\frac{1}{a^2}$
- $\displaystyle\frac{1}{\sqrt{a + 1}}$
- $\displaystyle\frac{1}{a^2 + 1}$
- $\displaystyle\frac{1}{(a+1)^2}$

**Problem 5.**

In a certain game, $m$ number of players scored 2 points each and $n$ number of players scored 5 points each. The total score was 50 points. What is the least possible difference between $m$ and $n$ (absolute value only)?

- 1
- 3
- 5
- 7

**Problem 6.**

The denominator of a fraction is 3 more than its numerator. If the numerator is increased by 7 and the denominator is decreased by 2 we get 2. The sum of the numerator and denominator is,

- 17
- 13
- 5
- 19

**Problem 7.**

The sum of numerator and denominator of a positive fraction is 11. If 2 is added to both numerator and denominator, the fraction is increased by $\frac{1}{24}$. The difference of numerator and denominator of the fraction is,

- 1
- 3
- 5
- 9

**Problem 8.**

A tree increases annually by $\frac{1}{8}$th of its height. If it stands 81 feet high today, what was its height (in feet) two years ago?

- 68
- 64
- 66
- 72

**Problem 9.**

The value of $\displaystyle\frac{1}{15} + \displaystyle\frac{1}{35} + \displaystyle\frac{1}{63} + \displaystyle\frac{1}{99} + \displaystyle\frac{1}{143}$ is,

- $\displaystyle\frac{5}{39}$
- $\displaystyle\frac{7}{39}$
- $\displaystyle\frac{4}{39}$
- $\displaystyle\frac{2}{39}$

**Problem 10.**

Which one of the following is a factor of the sum of the first 25 natural numbers?

- 13
- 12
- 24
- 26

#### Valuable guidelines with links to resources on SSC CGL

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

#### Solution set corresponding to this question set

**SSC CGL level Solution Set 28 on Arithmetic Number System 5**

#### Tutorials

**Numbers and Number system and basic mathematical operations**

**Factorization or finding out factors**

**Fractions and decimals basic concepts part 1**

**Basic and Rich Algebra concepts for elegant solutions of SSC CGL problems - **** though on Algebra, it should be useful.**

#### How to solve number system problems quickly in a few steps

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

#### Question sets and Solution sets on Number system

**SSC CGL level Question Set 71 on Number System 10**

**SSC CGL level Solution Set 71 on Number System 10**

**SSC CGL level Solution Set 55, Number System 9**

**SSC CGL level Question Set 55, Number System 9**

**SSC CGL level Question Set 54 on Number System 8**

**SSC CGL level Solution Set 54 on Number System 8**

**SSC CGL level Question Set 46 on Number System 7**

**SSC CGL level Solution Set 46 on Number System 7**

**SSC CGL level Question Set 30 on Number System 6**

**SSC CGL level Solution Set 30 on Number System 6**

**SSC CGL level Question Set 28 on Arithmetic Number System 5**

**SSC CGL level Solution Set 28 on Arithmetic Number System 5**

**SSC CGL level Question Set 15 on Arithmetic Number System 4**

**SSC CGL Level Solution Set 15 on Arithmetic Number System 4**

**SSC CGL level Question Set 14 on Arithmetic Number System 3**

**SSC CGL level Solution Set 14 on Arithmetic Number System 3**

**SSC CGL level Question Set 7 on Arithmetic Number System 2**

**SSC CGL level Solution Set 7 on Arithmetic Number System 2**

**SSC CGL level Solution Set 3 on Arithmetic Number System 1**

**SSC CGL level Question Set 3 on Arithmetic Number System 1**