The best guide to solve number series.
150 questions with answers and detailed explanations
By Panos kalliantasis
How to solve number series
Students find number sequencing questions difficult, but in reality they are not, it is a matter of proper preparation.
Practice with selective questions that cover the full range of number series problems in competitive exams
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How to solve "Number Series"
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Which number will replace the question mark in the number series
12, 14, 20, 32, 52, ?
There are two ways to solve this number series
Solution 1
The terms in the given number sequence are incremented.
We observe that it is not arithmetic progress, nor geometric progress
We have to find the logical relation between the terms and guess the rule.
The pattern could be:
12 = 12 + 1² +1 =12+1+1 = 14
14 = 14 + 2² +2 = 14+4+2 = 20
20 = 20 +3² + 3 = 20+9+3=32
32 = 32 +4² +4 = 32+16+4=52
In each term we add the square of the number term and the number of the term to get to the next term.
52 is the fifth term and to find the next term we add the square of 5 and then 5
52 = 52 + 5² + 5= 52+25+5=82
Therefore answer is 82.
Solution 2
The differences of the terms form the series
12 ....14....20......32.....52.....?
2.......6.......12......20.....
4........6..........8........
We start from the series 3
4...6...8....next number is 10
Then series 2
2.....6......12.....20.....(20+10=30)
Then in the given series 1
12....14.....20....32.....52......(52+30=82)
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