# 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 the name of the series specifies, this type of series may consist of two series combined into a single series. The alternating terms of this series may form an independent series in itself.
Example: 3, 4, 8, 10, 13, 16 ? ?
As we can see, there are two series formed -> Series 1 : 3, 8, 13 with a common difference of 5
-> Series 2 : 4, 10, 16 with a common difference of 6
So, next two terms of the series should be 18 & 22 respectively.

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

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