Verbal Reasoning - Series Completion - Discussion

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

3. 

3, 10, 101,?

[A]. 10101
[B]. 10201
[C]. 10202
[D]. 11012

Answer: Option C

Explanation:

Each term in the series is obtained by adding 1 to the square of the preceding term.

So, missing term = (101)2 + 1 = 10202.


Subram said: (Apr 14, 2011)  
Why 3?

M C Naidu said: (Jul 14, 2011)  
Why 3? because 3 square is 9 + 1 = 10.

Kanna said: (Aug 16, 2011)  
Can you explain in details.

Ruby said: (Sep 7, 2011)  
In first 3x3+1 = 10 then 10x10+1 then 101x101+1.

Parthiban said: (Mar 10, 2012)  
Yes the answer is correct

Appy said: (Aug 19, 2012)  
Please tell me the easy trick to find out 101x101 without the usage of calculator. !

Sundar said: (Mar 2, 2013)  
@Appy

101 x 101, How to calculate this without use of calculator ?

101 x 100 = 10100 + 101 = 10201.

So easy.

Mangesh said: (Apr 24, 2014)  
3.
3 x 3 = 9 + 1 = 10.
10 X 10 = 100 + 1 = 101.
101 X 101 = 10201 + 1 = 10202.

Samir Ku. Das said: (Jul 16, 2014)  
Ans: C.

3 * 3 = 9 + 1 = 10.
10 * 10 = 100 + 1 = 101.
101 * 101 = 10201 + 1 = 10202.

Uk(Jk) said: (May 27, 2015)  
Why they took square here? Any one please tell m?

Sushrut said: (Dec 26, 2015)  
Because that is the pattern.

i.e 3 when multiplied by 3 gives = 9.

And when 1 is added it gives 10 and so on.

Sushrut said: (Dec 26, 2015)  
Because it is the pattern.

As when 3 is multiplied by 3 it gives 9.

And when 9 is added by 1 it gives 10 and so on the series continues.

Chitnaiah said: (Jan 19, 2016)  
Try it A+Bx(A*B/A+B).

Sai said: (Aug 28, 2016)  
The logic of this series is A.B/A+B.

Shubhasish said: (Sep 21, 2016)  
10 - 3 = 7, 10 + 3 = 13, 13 * 7 = 91.
91 + 10 = 101,
So, by this logic.

101 - 10 = 91, 101 + 10 = 111, 111 * 91 = 10101.
10101 + 101 = 10202.

Balabhadra said: (Jan 2, 2017)  
Answer is C. I agree.

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