## Seventh SSC CGL level Question Set, topic Arithmetic Number system

This is the seventh question set of 10 practice problem exercises for SSC CGL exam on topic Arithmetic Number system. Students must complete this question set in prescribed time first and then only refer to the corresponding solution set.

It is emphasized here that answering in MCQ test is not the same as answering in a school test where you need to derive the solution in perfectly elaborated steps.

In MCQ test instead, you need basically to deduce the answer in shortest possible time and select the right choice. None will ask you about what steps you followed.

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 of the topics
- is adequately fast in mental math calculation
- should try to solve each problem using the most basic 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 happens in the last step. But how to do that?

You need to use **your problem solving abilities** only. There is no other recourse.

### Seventh question set- 10 problems for SSC CGL exam: topic Arithmetic Number system - time 12 mins

**Q1. **The smallest number by which if 392 is multiplied, the result becomes a perfect cube, is,

- 3
- 6
- 7
- 9

**Q2.** If the numbers 1, 2, 3, 4, 5, .......998, 999, 1000 are multiplied together, how many 0s on the right the product will have?

- 211
- 200
- 249
- 30

**Q3.** In a two digit number, the unit's digit exceeds ten's digit by 2 and the product of the sum of the digits and the number is 144, then the number is,

- 46
- 26
- 24
- 42

**Q4. **The sum of 37 consecutive positive integers is 851. The largest of the numbers is,

- 54
- 41
- 37
- 72

**Q5. **The unit's digit of $459\times{459} + 77\times{77} + 2785\times{2789}$ is,

- 7
- 9
- 0
- 5

**Q6.** In three three digit numbers each of which when divided by 5 leaves a remainder of 3. The difference between the largest and smallest is twice the difference between the first two. If the sum of the three numbers is 429, the second largest among the three is,

- 129
- 243
- 133
- 143

** Q7.** Two numbers both larger than 29 have HCF 29 and LCM 4147. The sum of the numbers is,

- 669
- 896
- 996
- 696

** Q8.** The ten's digit of a two digit number exceeds the unit's digit by 5. The second number formed by reversing the digits is less than the first number by five times the sum of the digits of the number. The sum of the digits is,

- 7
- 13
- 9
- 11

**Q9.** How many of the following numbers are divisible by 132?

396, 4, 264, 792, 2178, 5184, 6336, 968, 762

- 6
- 4
- 7
- 5

** Q10.** The natural numbers are grouped in the sequence 1, (1 + 2), (1 + 2 + 3), (1 + 2 + 3 + 4)......Then the value of the 10th term of the sequence is,

- 50
- 57
- 55
- 60

### Other resources on Number system and related topic

You may refer to our other useful resources on number system and other related topics especially algebra.

The first should of course be the solution to this question. Carefully go through the solution absorbing the ideas explained in the process of reaching the solutions. You won't be able to retain this knowledge unless you apply this analytical deductive thinking on other problems repeatedly.

#### 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 to this question set

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

#### Tutorials

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

**Factorization or finding out factors**

**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 Number System 5**

**SSC CGL level Solution Set 28 on 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 Number System 2**

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

**SSC CGL level Question Set 3 on Arithmetic Number Sysem**

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

### 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**