## Fifteenth SSC CGL level Question Set, topic Number System

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

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.

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

**Problem 1.**

The product of two positive integers is 11520 and their ratio is 9 : 5. Find their difference.

- 60
- 70
- 64
- 74

**Problem 2.**

A number when divided by 3 leaves a remainder of 1 and when the quotient is divided by 2 it leaves a remainder of 1 again. What will be the remainder when the number is divided by 6?

- 2
- 3
- 4
- 5

**Problem 3.**

When a positive integer is divided by a second positive integer the quotient is 1. When the second number is divided by the remainder of the first division, the quotient is 2 and remainder 0. What is the ratio between the first and the second number?

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

**Problem 4.**

50 persons are putting chocolates in 50 boxes. The first person puts 1 chocolate in each of the 50 boxes, the second person puts 2 chocolates in every second boxes, the third person puts 3 chocolates in every third boxes, and finally the 50th person puts 50 chocolates in the 50th box. At the end of the operation, how many chocolates did the 50th box have?

- 96
- 43
- 93
- 78

**Problem 5.**

$12345679\times{72}$ equals

- 999999998
- 88888888
- 898989898
- 888888888

#### Problem 6.

The unit's digit of the expression, $216^{5192} + 25^{4317} + 97^{7892}$ is,

- 1
- 2
- 3
- 5

** Problem 7.**

What is the value relationship between the irrational numbers, $\sqrt{7} - \sqrt{5}$, $\sqrt{5} - \sqrt{3}$ and $3 - \sqrt{7}$?

- $3 - \sqrt{7} \lt \sqrt{5} - \sqrt{3} \lt \sqrt{7} - \sqrt{5}$
- $\sqrt{5} - \sqrt{3} \lt 3 - \sqrt{7} \lt \sqrt{7} - \sqrt{5}$
- $3 - \sqrt{7} \lt \sqrt{7} - \sqrt{5} \lt \sqrt{5} - \sqrt{3}$
- $3 - \sqrt{7} \gt \sqrt{7} - \sqrt{5} \gt \sqrt{5} - \sqrt{3}$

** Problem 8.**

The remainders of division of the numbers 6666666, 7777777 and 8888888 by 9 will be,

- 2, 4, 8
- 6, 4, 2
- 8, 3, 1
- 4, 6, 8

**Problem 9.**

If the number of employees of a company is a prime number less than 500, the ratio of the number of male employees to the number of rest of the employees may be,

- 101 : 88
- 87 : 100
- 85 : 98
- 97 : 84

** Problem 10.**

A group of 630 children is arranged in rows such that each row contains 3 children more than the row behind it. Which of the following as number of rows is not possible in this case?

- 4
- 5
- 3
- 6

#### 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 15 on Arithmetic Number System 4**

#### 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 Tier II level Solution Set 29 on Number System 1**

**SSC CGL Tier II level Question Set 29 on Number System 1**

**SSC CGL level Solution Set 89 on Number System 11**

**SSC CGL level Question Set 89 on Number System 11**

**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 Sysem 3**

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

**SSC CGL level Question Set 7 on Arithmetic Number Sysem 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**

### Solved Question sets on Number System, HCF and LCM for SSC CHSL

**SSC CHSL level Solved Question set 3 on Number system 1**

**SSC CHSL level Solved Question set 4 on Number system 2**

**SSC CHSL level Solved Question set 5 on HCF and LCM 1**

**SSC CHSL level Solved Question set 6 on HCF and LCM 2**