Syllabus of Reasoning (Including Mathematics) from UGC NET:
Number Series, Letter Series, Code, Relationship, Classification
Tips for solving number series:
1. Read the series carefully and try to interpret its pattern.
2. There can be different types of patterns:
- Addition of number like 0,5,10,15,20 ............(addition of 5)
- Addition of the first term and second will make the third term as so on like 1,2,3,5,8,...
- Addition of any well-known values like 1,2,5,10,17... (addition of odd numbers) or addition of even numbers, prime numbers etc...
- Similarly, we can have different types of pattern for multiplication of a number like 2,10,50,250.....(multiplication of 5)
- Multiplying by even number, an odd number, prime number
- Some other common patterns are:
- a square of numbers like 1, 4, 9, 16, 25....
- Cube of numbers like 1, 8, 27, 64, 125, ....
Mostly asked series are based on addition and multiplication
- While interpreting a series, if series is growing slowly that means it has chances of addition series like 1,2,3,5,8........... But, if the series is growing fastly then there are chances of multiplication like 2,10,50,250,1250.....
- If series is in descending order then it may be subtraction or division.
- If series has floating point numbers, then there are chances that numbers are multiplied with 0.5 (or divided by 2) like 50,25, 12.5, 6.25.........
- Consider the series: 50, 75, 112.5, 168.75, 253.125, ? Can you find the next number in series??
UGC NET Previous Years Questions:
Ques- Insert the missing number in the following: (June 2009)
3, 8, 18, 23, 33, ?, 48
A) 37 (B) 40 (C) 38 (D) 45
Answer: C
Description: 3+5=8
8+10=18
18+5=23
23+10=33
33+5=38
38+10=48
Ques- Find out the wrong number in the sequence: (June 2009)
52, 51, 48, 43, 34, 27, 16
A) 27 (B) 34 (C) 43 (D) 48
Answer: B
Description: 52-1=51
51-3=48
48-5= 43 {Observe the sequence, odd number is subtracted from series}
48-5= 43 {Observe the sequence, odd number is subtracted from series}
43-7=36
36-9=27
27-11=16
34 is the wrong number in the sequence. It must be 36.
Ques- Find the missing number in the series: (Dec 2012)
0, 6, 24, 60, 120, ?, 336 is
A) 240 (B) 220 (C) 280 (D) 210
Answer: D
Description: If it is difficult to understand the pattern, then construct a tree-like structure and go into deep to find a particular pattern by subtracting consecutive numbers as shown in the figure given below:
So, the missing number is 210. The answer can also be verified by continuing the series to 336.
Ques- The missing number in the series 40, 120, 60, 180, 90, ?, 135 is (June 2013)
A) 110 (B) 270 (C) 105 (D) 210
Answer: B
Description: 40 * 3 = 120
120 / 2 = 60
60 * 3 = 180
180 /2= 90
(Observe the sequence, one term is divided by 3 and next term is divided by 2 and so on.)
90 * 3= 270
270 / 2= 135
270 / 2= 135
Ques- The missing term in the series 2,7,24,77,?,723 is (Sept 2013)
A) 238 (B) 432 (C) 542 (D) 256
Answer: A
Description: 2x3 + 1=7
7x3 + 3=24
24x3 + 5= 77
77x3 + 7=238
238x3 + 9=723
238x3 + 9=723
Ques- If the series 4, 5, 8, 13, 14, 17, 22, .... is continued in the same pattern, which one of the following is not a term of this series? (July 2014)
A) 31 (B) 32 (C) 33 (D) 35
Answer: C
Description: 4+1=5
5+3=8
8+5=13
13+1=14
14+3=17
17+5=22
See the pattern, just add 1,3,5,1,3,5…….. So, the series will be:
22+1=23
23+3=26
26+5=31
31+1=32
32+3=35
35+5=40
From series, we can notice, 31, 32 and 35 are numbers in series but 33 is not in series.
Ques- The term in the series: 2, 7, 28, 63, 126, ____(Dec 2014)
A) 215 (B) 245 (C) 276 (D) 296
Answer: A
Description: 13 + 1 =2
23 – 1 = 7
33 + 1 = 28
43 – 1 = 63
53 + 1 = 126
63 – 1 = 215
Ques- The next term in the series: 2, 5, 10, 17, 26, 37 ____(Dec 2015)
A) 50 (B) 57 (C) 62 (D) 72
Answer: A
Description: 2 + 3 =5
5 + 5 = 10
10 + 7 = 17
17 + 9 = 26
26 +11 = 37
37 + 13 = 50
Odd number is added in each number from 3 to 13.
8 12 16 20 24
Ques- In the series 3, 11, 23, 39, 59 ____(July 2016)
A) 63 (B) 73 (C) 83 (D) 93
Answer: C
Description:
Construct the tree and observe the pattern.
Ques- The missing term in the series 1, 4, 27, 16, ?, 36,343 is (Jan 2017)
A) 30 (B) 49 (C) 125 (D) 81
Ques- In the series 1, 5, 13, 25, 41, ____ the next term is (July 2016)
A) 59 (B) 63 (C) 61 (D) 68
Answer: C
Description:
Ques- The missing term in the series 1, 4, 27, 16, ?, 36,343 is (Jan 2017)
A) 30 (B) 49 (C) 125 (D) 81
Answer: C
Description: The series contains number 13, 22, 33, 42, 53, 62, 73
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