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# Tips And Tricks And Shortcuts Coding And Number Series

## Tips & Tricks and Shortcuts for Coding and Number Series:-

Competitive examination is all about timing. Lesser the time consume better will be the result.

But many students miss this thing. Time management can be done by practicing more and more questions.

Maths is the section where we can’t solve the question theoretically. We need to do more and more practice so that we can speed up our calculations and we consume less time.

Along with time some Tips and Tricks are also one of the most important factors in competitive examinations.

Before solving Questions on number series let us know

## WHAT IS NUMBER SERIES?

Number series is a series where the candidate will have to observe and guess the hidden code of two or more sets of numbers.

Now the main important thing is to solve the questions. Before solving the questions lets have a look at the Solved Questions that will help us in a better understanding of questions.

### Tips and Tricks and Shortcuts for Coding and Number Series/ Different Number Series

**Series of Perfect Square**

A series on Perfect Square is most of the times based on the perfect squares of number in a generic order or generally one number is missing in this type of series

Example:- 144,169,289,324?

144= 12^{2} , 169^{2}, 289= 17^{2}, 324= 18^{2}

**Perfect Cube Series**

Based on the cubes of numbers in a particular order and one of the numbers is missing in the series.

Example:- 343, 512, 729, 1000?

7^{3}, 8^{3}, 9^{3}, 10^{3}

**Geometric Series**

It is based on either descending or ascending order of numbers and each successive number is obtained by dividing or multiplying the previous number by a specific number.

Example:- 5, 45, 405, 3645?

Sol:5 x 9 = 45, 45 x 9 = 405, 405 x 9 = 3645, 3645 x 9 = 32805.

**Arithmetic Series**

It consists of a series in which the next term is obtained by adding/subtracting a constant number to its previous term. Example: 4, 9, 14, 19, 24, 29, 34 in which the number to be added to get the new number is 5. Now, we get an arithmetic sequence 2,3,4,5.

**Two Type Series**

Sol:3 – 1 = 2, 6 – 3 = 3, 10 – 6 = 4, 15 – 10 = 5….

Now, we get an arithmetic sequence 2, 3, 4, 5

### Question 1

**In a certain code, the number 12345 is coded as 36936. What will be the code for the number 99325?**

A) 99966

B) 37649

C) 78356

D)33965

**Answer: A**

**Explanation**:

If we take 1 and multiply it by 3 and repeat the same with all the other digits of the first number, we will have:

- 1 gives 3
- 2 gives 6
- 3 gives 9
- 4 gives 12 = 1+2 = 3
- And 5 gives 15 = 1+5 = 6

Here, the new number we will get is 36936. Now, this was the main trick so we will apply the same for 99325.

- 9 when multiplied by 3, will give 27 = 2+7 = 9.
- Also, 3 when multiplied by 3, will give 9.
- And 2 will similarly yield 6.
- 5 will give 15 = 1+5 = 6

New number = 99966

### Question 2

**Look at series 2, 1, \frac{1}{2} \ , \frac{1}{4} \ …. what would come next?**

A) \frac{1}{3} \

B) \frac{1}{8} \

C) \frac{1}{16} \

D) \frac{2}{16} \

**Answer: B**

**Explanation:**

\frac{4}{2} \ = 2

\frac{2}{2} \ = 1

\frac{1}{2} \ = \frac{1}{2} \

\frac{1/2}{2} \ = \frac{1}{4} \

\frac{1/4}{2} \ = \frac{1}{8} \ and so on.