## 10 selected number system questions for SSC CGL

The 10 number system questions for SSC CGL to be answered in 12 mins cover concepts on division, remainder, units digit for large powers, ratio, factorization, HCF, divisibility, surds, and place value.

This is the 15th question set for SSC CGL that can be used for general competitive exams also.

You will find **answers to the questions** and the **link to the solutions** at the end.

**For best results, **

- Do take the test like the actual test
**with timer on.** - After the test,
**score your performance**from the answers, and, - Use the
**solutions to be clear of your doubt**s, and know how to answer the questions quick.

Use this knowledge to practice on **more sets of number system questions.**

You will get **all number system questions, solutions** and more in the guide,

**Suresolv Guide for Number System - SSC CGL, SSC CHSL and more.**

Before you start, a mild warning - you may find some of these questions difficult to answer at first glance.

### 10 number system questions for SSC CGL - 15th Question set - time to answer 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

**To clarify your doubts** and **know how to solve these questions quickly, go through the solutions,**

**SSC CGL level solution set 15 on number system.**

### Answers to the questions

**Q1.** **Answer:** Option c: 64.

**Q2.** **Answer:** Option c : 4.

**Q3.** **Answer:** Option d: 3 : 2.

**Q4.** **Answer:** Option c: 93.

**Q5.** **Answer:** Option d: 888888888.

**Q6.** **Answer:** Option b : 2.

**Q7.** **Answer:** Option c: $3 - \sqrt{7} \lt \sqrt{7} - \sqrt{5} \lt \sqrt{5} - \sqrt{3}$.

**Q8.** **Answer:** Option b: 6, 4, 2.

**Q9.** **Answer:** Option d: 97 : 84.

**Q10.** **Answer:** Option d: 6.

### Guided help on Number system, HCF LCM in Suresolv

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