Verbal Reasoning - Series Completion - Discussion

Discussion Forum : Series Completion - Section 1 (Q.No. 3)
Directions to Solve

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


3.
3, 10, 101,?
10101
10201
10202
11012
Answer: Option
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.

Discussion:
18 comments Page 1 of 2.

Iffat said:   3 years ago
@All.

According to me, the difference between the 2 digits.

So, 10-3=7 and 101-10=91.

Now, the pattern I used was to multiply 7 with 3 and with 10. I got the answer 101. So, doing the same; I multiplied 91 by 10 and 101. I got 10101 from that method.

Now tell me, which one is correct?
(1)

Shubhasish said:   9 years ago
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.
(2)

Sushrut said:   10 years ago
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.
(1)

Sundar said:   1 decade ago
@Appy

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

101 x 100 = 10100 + 101 = 10201.

So easy.

Sushrut said:   10 years ago
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.

Samir Ku. Das said:   1 decade ago
Ans: C.

3 * 3 = 9 + 1 = 10.
10 * 10 = 100 + 1 = 101.
101 * 101 = 10201 + 1 = 10202.
(4)

Appy said:   1 decade ago
Please tell me the easy trick to find out 101x101 without the usage of calculator. !

Mangesh said:   1 decade ago
3.
3 x 3 = 9 + 1 = 10.
10 X 10 = 100 + 1 = 101.
101 X 101 = 10201 + 1 = 10202.

Gitanjali said:   3 years ago
(3)^2+1 = 9+1 = 10,
(10)^2+1 = 100+1 = 101,
(101)^2+1 = 10201+1 = 10202.
(13)

Uk(jk) said:   1 decade ago
Why they took square here? Any one please tell m?


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