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# Logical Reasoning - Number Series - Discussion

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"Everything you can imagine is real."
- Pablo Picasso

In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much

1.

Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?

 [A]. (1/3) [B]. (1/8) [C]. (2/8) [D]. (1/16)

Explanation:

This is a simple division series; each number is one-half of the previous number.

In other terms to say, the number is divided by 2 successively to get the next result.

```4/2 = 2
2/2 = 1
1/2 = 1/2
(1/2)/2 = 1/4
(1/4)/2 = 1/8 and so on.```

 Payal said: (Sat, May 21, 2011 01:45:51 AM) Thanks your explanation was really nice.

 Parveen said: (Tue, May 24, 2011 04:56:51 PM) I am bit confuse, regarding Reasoning. Get to how to do it all this, and about reasoning.

 Deepa Singh said: (Sat, May 28, 2011 06:44:53 AM) You can solve puzzle in news paper first you will confuse how can you solve but you try it again and again than you became in practice and you can solve it.

 Upasana said: (Sun, May 29, 2011 10:18:32 AM) Its a nice explanation.

 Deepak said: (Mon, May 30, 2011 09:43:56 PM) Definately it will helpful.

 Abdul said: (Fri, Jun 3, 2011 07:26:13 PM) Nicely Explained

 Vengalarao said: (Thu, Jun 30, 2011 06:58:04 AM) @deepa Your explanation is very nice. Definately i will try to your concept.

 Teja said: (Thu, Sep 15, 2011 09:03:02 PM) Good explanation.

 Lucky said: (Sun, Nov 6, 2011 04:43:27 PM) Thanks for your explanation.

 Rajpal Singh said: (Fri, Nov 25, 2011 10:31:12 AM) Here why not multiple each no. By 2. Here first and second no. Multiple by 2 and third, fourth, . , . , . Not multiple by 2 its only divided by 2 why? while third no. Is same put. Logical reasoning want same process in each no.

 Jyoti Rawandhe said: (Fri, Jan 27, 2012 08:00:35 PM) Thanks for giving this clear explanation...

 Xduniya said: (Wed, Feb 8, 2012 05:31:29 AM) Simply in every step we should deduct 1/2 to get the result. For eg:. 1/4 - 1/2 = 1/8.

 Sindhu said: (Fri, Apr 20, 2012 10:10:57 AM) 2/2=1,1/2,1/2/2=1/4,1/4/2=1/8

 Deepa said: (Thu, Apr 26, 2012 02:45:33 PM) 4/2 = 2 2/2 = 1 1/2 = 1/2 (1/2)/2 = 1/4 (1/4)/2 = 1/8 and so on.

 Subbu said: (Thu, May 10, 2012 07:33:59 PM) My point of view it is solve simply half half the number we will write that's all.

 Veeru said: (Tue, Jun 26, 2012 10:26:50 AM) How can we estimate that we have consider first 4? Because by dividing first number with 2 also we will get result.

 Utharsh said: (Wed, Aug 15, 2012 08:22:11 AM) Every time the denominator get doubled and the numerator rest with 1.

 Umesh said: (Sat, Jan 5, 2013 01:54:45 PM) Here if we multiply each number By 1/2 the we will get next number.

 Akshay said: (Tue, Jan 29, 2013 10:29:57 AM) 1/8 From 1 to each number is divided by 2 than we get next number.

 M.Ratnakar said: (Wed, Feb 6, 2013 03:03:49 PM) How we got the logic can you explain detail. 4/2 = 2 2/2 = 1 1/2 = 1/2 (1/2)/2 = 1/4 (1/4)/2 = 1/8 and so on.

 Lisa Price said: (Mon, Feb 11, 2013 11:30:48 PM) I need help finding the next number in the series to: 1. 18,81,27,36,63? 2. 1/64,1/32,1/16,1/8,1/4,1/2? 3. 36,37,39,42,46,51? 4. 8,4,2,1,.5,.25,.25? 5. 2,4,6,5,7,9,8? 6. 154,77,81,78,39,43,40? 7. 1/2,1/4,1/3,1/6,1/5? 8. 2,3,4,8,9,10,20,21,22? 9. 2,5,14,41,122? 10. 15,18,54,57,171? 11. 18,81,27,72,36,63? 12. 1/64,1/32,1/16,1/8,1/4,1/2? 13. 36,37,39,42,46,51? 14. 2,4,6,5,7,9,8? 15. 154,77,81,78,39,43,40?

 Vinod said: (Wed, Feb 20, 2013 06:59:12 PM) Hey its very easy see. 2^1, 2^0, 2^-1, 2^-2, 2^-3 2^1=2 2^0=1 2^-1=(1/2) 2^-2=(1/4) 2^-3=(1/8)