# Study Notes For UGC NET Reasoning (including mathematical)

## Tips For Number Series, WAY TO SOLVE NUMBER SERIES

# Mathematical Reasoning for NTA NET EXAM

##### Topic to be Covered from UGC NET REASONING SYLLABUS

- Number series [This Part ]
- letter series
- codes
- relationships
- classification

**NET EXAM SYLLABUS**– Reasoning (including mathematical): Number series, letter series, codes, relationships, classification

## Number series

Questions on number series are prevalent in most of the exams. Almost 1-2 Questions comes in exam from this topic.

- These questions are based on numerical sequences that follow a logical rule/ pattern based on elementary arithmetic concepts.
- A particular series is given from which the pattern must be analysed. You are then asked to predict the next number in the sequence following the same rule
- There are some numbers are wrongly put into the series of number and you need to identify or correct them

**Tips and Tricks for Number series for NTA NET EXAM**

- Number series questions are mostly numbers in the series are connected to each other. When you identify the connection, solving the question becomes easier for you.
- Identify the pattern asked in the question. Once you identify the pattern, solving the questions would be much easier.
- Once you have identified the pattern, apply it to the number before/ after the missing number in the series to get the answer.

### UGC NET REASONING NOTES

- Try to analyse the given pattern such as prime numbers, perfect squares ,cubes, series of known numbers like Mathematics progression (AP/GP) etc.
- Next..if you are unable to find the familiar number :-
- Calculate difference B/W the given series elements
- Then observe the pattern in difference to see are they following any regular pattern or known numbers like said above.
- If the numbers are growing slowly its must be addition or subtraction series
- If the numbers are growing rapidly it might be a Square series or cube or multiplicative series.
- If the difference or sum don’t have any particular pattern it must be alternate number series.

- Now, You need to t signifies that the series follows a complex

pattern. Check for cases like multiplying the number and adding/subtracting a constant number from it to reach the pattern.

**Heads up!** There is no defined way to solve numbers series .

The Ultimate trick is to identify the numbers in the series and proceed accordingly.

*Question asked in UGC net exam in not of Bank PO or CAT level their level is much lower and its similar to asked in SSC Exam.*

- Mug Up Square root & Cube up to 30
- Remember Prime Numbers between 1-200
- Learn common Arithmetic & Geometric Progression series

**How to Identify Common Patterns in Number Series**

The common patterns asked in number series topic are-

**Arithmetic Series** – This could be of two type. in which the next term is obtained by adding/subtracting a constant number to its previous term. **“common difference” is the key here**

Example: 4, 9, 14, 19, 24, 29, 34 [In the given series pattern is continued by adding 5 to the last number each time]

Further more this could be mixed with **Arithmetic** **Sequences** with the differences of consecutive numbers themselves form an arithmetic series.

Example: 1, 3, 6, 10, 15…..[ in the given series 3 – 1 = 2, 6 – 3 = 3, 10 – 6 = 4, 15 – 10 = 5….

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

**Geometric Sequences** is **multiplying** by the same value each time.

Example – 1, 3, 9, 27, 81, 243, … [ The pattern is continued by multiplying by 3 each time…]

**Prime numbers-**

- Squares/ cubes-
- Pattern in differences-

**Pattern in alternate numbers-**

As we can see, there are two series formed -> Series 1 : 3, 8, 13 with a common difference of 5

**Odd one out- **

**Complex Series**

**Cube roots and Square roots**

**Mixed Pattern **

**Warning!** Better check yourself, There could be multiple answer of number series asked based on logic applied by you or the Question setter.

**Few Reference Videos :-**

[Source – Number Series Tricks | Maths Tricks | Online Coaching For SBI – Provided by – adda247 ]

**Try Solving Below Mixed Question asked in Various Exams **

**Directions (1-10): What will come in place of the question mark (?) in the following number series ?**

** 1. 8 10 18 44 124 (?)**

(1) 344 (2) 366 (3) 354 (4) 356 (5) None of these

**2. 13 25 61 121 205 (?)**

(1) 323 (2) 326 (3) 324 (4) 313 (5) None of these

**3. 656 352 200 124 86 (?)**

(1) 67 (2) 59 (3) 62 (4) 57 (5) None of these

**4. 454 472 445 463 436 (?)**

(1) 436 (2) 456 (3) 454 (4) 434 (5) None of these

**5. 12 18 36 102 360 (?)**

(1) 1364 (2) 1386 (3) 1384 (4) 1376 (5) None of these

**6. 1 7 49 343 (?)**

(1) 16807 (2) 1227 (3) 2058 (4) 2401 (5) None of these

**7. 13 20 39 78 145 (?)**

(1) 234 (2) 244 (3) 236 (4) 248 (5) None of these

**8. 12 35 81 173 357 (?)**

(1) 725 (2) 715 (3) 726 (4) 736 (5) None of these

**9. 3 100 297 594 991 (?)**

(1) 1489 (2) 1479 (3) 1478 (4) 1498 (5) None of these

**10. 112 119 140 175 224 (?)**

(1) 277 (2) 276 (3) 287 (4) 266 (5) None of these