IBM
Company
Logical Reasoning
Number Series
Q. What is the next number of the following sequences
1. 4,2,36,4,5,1,36,16,6,3,81,?
2. 7,6,5,4,6,5,9,?
3. 3,12,29,?
4. 3,8,12,48,29
Read Solution (Total 18)
-
- 1. 4,2,36,4....5,1,36,16.....6,3,81,___
4+2=6,3rd term is 6^2,
4-2=2 4th term is 2^2
Similarly
6+3=9,3rd term is 9^2 = 81
6-3=3,4th term is 3^2 = 9
2. 7,6...5,4.....6,5.....9,__
7 - 6 = 1
5 - 4 = 1
similarly
9 - x = 1
x = 8
3. 3,12,29,__
3 * 2 + 6 = 12
12 * 2 + 5 = 29
similarly
29 * 2 + 4 = 62 - 11 years agoHelpfull: Yes(44) No(9)
- 3) 3,12,29,...
1^2+2=3,
3^2+3=12
5^2+4=29
7^2+5=54
so series is 3,12,29,54 - 11 years agoHelpfull: Yes(27) No(3)
- consider set of 4 {4,2,36,4}
4+2=6,third term is 6^2,4-2=2 fourth term is 2^2
as follows ans is 9 - 11 years agoHelpfull: Yes(5) No(4)
- 3,8,12,48,29 take alternate terms..
(1^2+2),((1+2)^2+3),((3+2)^2+4) similarly the next term would be ((5+2)^2+5)=54
(3^2-1),((3+4)^2-1) similarly next term would be ((7+4)^2-1)=120
so the series is 3,8,12,48,29,120,54 - 11 years agoHelpfull: Yes(5) No(2)
- 4. 1^2+2=3
2^2*2=8
3^2+3=12
4^2*3=48
5^2+4=29
6^2*4=144
- 9 years agoHelpfull: Yes(4) No(0)
- 4.(3,8),(12,48),(29,..)
8=3*3-1
48=7*7-1
ans=11*11-1
=120 - 11 years agoHelpfull: Yes(3) No(18)
- 1.
4+2=6^2=36;4-2=2^2=4
5+1=6^2=36;5-1=4^2=16
6+3=9^2=81;6-3=3^2=9
so ans is 9 - 11 years agoHelpfull: Yes(3) No(0)
- 2)7,6,5,4,6,5,9,?
7-6=1
5-4=1
6-5=1
similarly 9-x=1 so x=8 - 11 years agoHelpfull: Yes(2) No(1)
- 1.36 is after a gap of 2,3,then 4.
so after 81 it will be 36 - 11 years agoHelpfull: Yes(1) No(0)
- 3)3,12,29,?
ans:
(1^3)+2=3
(2^3)+4=12
(3^3)+2=29
so ans is (4^3)+4=68
depending on the choice choose the ans ........
(both 54 and 68 suits well) - 9 years agoHelpfull: Yes(1) No(0)
- 3,8,12,48,29,?
- 11 years agoHelpfull: Yes(0) No(1)
- 1. 4,2,36,4,5,1,36,16,6,3,81
(4+2=6 6*6=36)
(5+1=6 6*6=36)
(6+3=9 9*9=81)
then left term 4 is 4*4=16
in the last term 16*16=256
so ans is 256 - 11 years agoHelpfull: Yes(0) No(1)
- 3.
1^3+2=3,
2^3+4=12,
3^3+2=29,
4^3+4=68(ans)... - 10 years agoHelpfull: Yes(0) No(2)
- 4).
3,8,12,48,29
1^2+2=3
2^2*2=8
3^2+3=12
4^2*3=48
5^2+4=29
6^2*4=144 - 8 years agoHelpfull: Yes(0) No(0)
- 7,6,5,4,6,5,9,?
so we can split it in two parts (7,6,5,4),(6,5,9,?)
now 6+5-7=4
same way 9+5-6=8
so the ans is 8 - 8 years agoHelpfull: Yes(0) No(0)
- i think 3rd question is little bit confusing because it has number of solutions
3,12,29,?
3*3^1 = 9+3 = 12
3*3^2 = 27+2 = 29
3*3^3 = 81+1 =82.............this is also satisfying - 7 years agoHelpfull: Yes(0) No(0)
- given series is
3,8,12,48,29,?
logic is 1^2+2=3,2^2*2=8,3^2+3=12,4^2*3=48,5^2+4=29,6^2*4=144 ANS - 7 years agoHelpfull: Yes(0) No(0)
- compare with the set of numbers in the question with below pattern
x, y, (x+y)^2 , (x-y)^2
So, the first set of numbers we get are
4, 2, (4+2)^2 = 36, (4-2)^2 = 4 .... do the same with rest of the numbers and you will get
1) 4, 2, 36, 4
2) 5, 1, 36, 16
3) 6, 3, 81, ( 9 ) Answer - 7 years agoHelpfull: Yes(0) No(0)
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