# Aptitude - Odd Man Out and Series - Discussion

Discussion Forum : Odd Man Out and Series - Find Wrong No. (Q.No. 13)

*Directions to Solve*

Find out the wrong number in the series.

13.

10, 26, 74, 218, 654, 1946, 5834

Answer: Option

Explanation:

2^{nd} term = (1^{st} term) x 3 - 4 = 10 x 3 - 4 = 26.

3^{rd} term = (2^{nd} term) x 3 - 4 = 26 x 3 - 4 = 74.

4^{th} term = (3^{th} term) x 3 - 4 = 74 x 3 - 4 = 218.

5^{th} term = (4^{th} term) x 3 - 4 = 218 x 3 - 4 = 650.

5^{th} term must be 650 instead of 654.

Discussion:

9 comments Page 1 of 1.
Dambarudhar pradhan said:
4 years ago

Priya you are great. Nice keep it up.

Ravi said:
4 years ago

Yes, you are right, agree @Priya.

SURYA SWAROOP said:
5 years ago

GIVEN DATA 10, 26, 74, 218, 654, 1946, 5834.

26 - 10 = 16,

74 - 26 = 48,

218 - 74 = 144,

654 - 218 = 436,

1946 - 654 = 1292,

5834 - 1946 = 3888,

------------

16*3 = 48,

16*(3*3) = 144,

16*(3*3*3) = 432,

16*(3*3*3*3) = 1296,

16*(3*3*3*3*3) = 3888,

Then;

ANSWER is 654.

26 - 10 = 16,

74 - 26 = 48,

218 - 74 = 144,

654 - 218 = 436,

1946 - 654 = 1292,

5834 - 1946 = 3888,

------------

16*3 = 48,

16*(3*3) = 144,

16*(3*3*3) = 432,

16*(3*3*3*3) = 1296,

16*(3*3*3*3*3) = 3888,

Then;

ANSWER is 654.

Sourabh said:
9 years ago

Only 654 is completely divisible by 3 and not other numbers. Hope now you understand.

Priya said:
10 years ago

No other number except 654 is divisible by 3.

So the answer is 654.

So the answer is 654.

GunaSekhar said:
10 years ago

10/2 = 5.

26/2 = 13.

Difference b/w 13 and 5 is 8, 8*3 = 24.

26/2 = 13.

74/2 = 37.

Difference b/w 13 and 37 is 24, 24*3 = 216.

Caluculate same as the above you will get answer is 654.

26/2 = 13.

Difference b/w 13 and 5 is 8, 8*3 = 24.

26/2 = 13.

74/2 = 37.

Difference b/w 13 and 37 is 24, 24*3 = 216.

Caluculate same as the above you will get answer is 654.

Jyoti said:
1 decade ago

26-10 = 16.

74-26 = 48 (16*3=48).

218-74 = 144 (48*3=144).

654-218 = 436 (144*3=432).

1946-654 = 1292 (432*3=1296).

5834-1946 = 3888 (1296*3=3888).

Thus term having 654 giving wrong answer thus 654 is the answer.

Hope you understand.

74-26 = 48 (16*3=48).

218-74 = 144 (48*3=144).

654-218 = 436 (144*3=432).

1946-654 = 1292 (432*3=1296).

5834-1946 = 3888 (1296*3=3888).

Thus term having 654 giving wrong answer thus 654 is the answer.

Hope you understand.

Ria sen said:
1 decade ago

I also want to know why we can use only 3 and 4 why not other digits and what is the funda behind it.

Subhash kumar said:
1 decade ago

Why will we chose the 3-4, because of that we can chose other no or not tell me.

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