## Fourteenth SSC CGL level Question Set, topic Arithmetic Number System

This is the fourteenth question set of 10 practice problem exercise 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 at all 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 and rich concepts in the specific topic area and
- does most of the deductive reasoning and calculation in his head rather than on paper.

Actual problem solving is mostly done at the fourth layer,

You need to use **your problem solving abilities to gain an edge over others**.

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

**Q1.** Find the second largest prime number that will divide 5329 with 6 added to it.

- 5
- 11
- 93
- 97

**Q2.** Find the missing digit in 4*379, if the five digit number is to be divisible by 9.

- 1
- 3
- 4
- 7

**Q3.** By which largest prime number should 5894 be divided to leave 5 as remainder?

- 13
- 151
- 153
- 17

**Q4.** $\displaystyle\frac{1}{20} + \displaystyle\frac{1}{30} + \displaystyle\frac{1}{42} + \displaystyle\frac{1}{56} + \displaystyle\frac{1}{72} + \displaystyle\frac{1}{90} + \displaystyle\frac{1}{110} + \displaystyle\frac{1}{132}$ is,

- $\displaystyle\frac{1}{6}$
- $\displaystyle\frac{1}{8}$
- $\displaystyle\frac{1}{10}$
- $\displaystyle\frac{1}{7}$

**Q5.** If the sum of squares of three consecutive positive numbers is 365, their sum is,

- 33
- 45
- 37
- 30

**Q6.** How many digits altogether are required to write the numbers from 1 to 60?

- 60
- 111
- 109
- 112

** Q7.** The value of $0.\overline{2} + 0.\overline{3} + 0.\overline{32}$ is,

- $0.\overline{82}$
- $0.\overline{87}$
- $0.\overline{77}$
- $0.\overline{86}$

** Q8.** If 1, 3, 5, 7, 9......, 99 and 128 are multipled together, the number of zeros on the right of the product will be,

- 7
- 6
- 8
- 9

**Q9.** The product of two numbers is 120 and sum of their squares is 289. The difference between the numbers is,

- 6
- 7
- 8
- 9

** Q10.** A natural number is multiplied by 18 and a second natural number is multiplied by 21 and then their products are summed up. Which one can be the sum?

- 2009
- 2008
- 2007
- 2005

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