Latest IBM Aptitude Question SOLUTION: What is the next number of the following sequence 1)18,6,24,4,30,10,1 2,2,6 2)1,1/2,3/2,2,5,1/3 ,5*1/3,15,12,1/4, 49/4 3)2,1,2,4,8,2,16,0. 5,8,3/4 4)7,-35,-34,-3,15,1 6,4

1) 18,6,24,4,30,10,12,2,6, x
18/3 = 6 ... 24/6 = 4
30/3 = 10 .. 12/6 = 2
6/3 = 2
Ans : 2

4) 7,-35,-34,-3,15,16,4, x
7 * -5 = -35
-35 + 1 = -34
-3 * -5 = 15
15 + 1 = 16
4 * -5 = -20
-20 + 1 = -19
Ans : -20, -19

5) 81,9^2,162,49,7^2 ,98,25,5^2,50,64, x, y
81 + 9^2 = 162
49 + 7^2 = 98
25 + 5^2 = 50
64 + 8^2 = 128
Ans : 8^2 , 128

6) 2,3,10,15,26,35,50, x
1^2 + 1 = 2
2^2 - 1 = 3
3^2 + 1 = 10
4^2 - 1 = 15
5^2 + 1 = 26
6^2 - 1 = 35
7^2 + 1 = 50
8^2 - 1 = 63
Ans : 63

7) 1,1,3,9,11,121, x
1^2 = 1
1 + 2 = 3
3^2 = 9
9 + 2 = 11
11^2 = 121
121 + 2 = 123
Ans : 123

8) (4,2,4),(8,6,8),(16, x , y)
(4, 2, 4) --> {2^2, 2^2-2, 2^2}
(8, 6, 8) --> (2^3, 2^3-2, 2^3}
(16, x,y) --> {2^4, 2^4-2, 2^4}
Ans : 14, 16

9) (8.8, 11, 5.05),(9.3, 12, 5.15),(9.8 ,13, x)
1st number in each group increases by "0.5" -->
8.8 + 0.5 = 9.3... 9.3 + 0.5 = 9.8
2nd number in each group increases by "1" -->
11 + 1 = 12 ... 12 + 1 = 13
3rd number in each group increases by "0.1" -->
5.05 + 0.1 = 5.15 ... 5.15 + 0.1 = 5.25
Ans : 5.25

11) (3,4,12,6),(1,8,8,4),(5,6,30, x)
3 * 4 = 12... 12/2 = 6
1 * 8 = 8... 8/2 = 4
5 * 6 = 30... 30/2 = 15
Ans : 15

13) 2,3,6,13,28, x
2 * 2 - 1 = 3
3 * 2 + 0 = 6
6 * 3 + 1 = 13
13 * 2 + 2 = 28
28 * 2 + 3 = 59
Ans : 59

14) (52,62,42),(78,89,68),(49,61,39),(63,76, x)
62 --> 52 + 10... 42 --> 52 - 10
89 --> 78 + 11... 68 --> 78 - 10
61 --> 49 + 12... 39 --> 49 - 10
76 --> 63 + 13... x --> 63 - 10
Ans : 53

15) (9,3,24,4),(9,3,36, 6),(9,3,30, x)
9/3 = 3 ... 24/6 = 4
9/3 = 3 ... 36/6 = 6
9/3 = 3 ... 30/6 = 5
Ans : 5

16) (1.25,3,7.1),(1.50,1, 8.1),(1.75,-1,9.1),(2.00, x, y)
In each group, 1st number increases by "0.25"
2nd number decreases by "-2" --> {3, 1, -1, x=-1-2=-3}
3rd number increases by "1" --> {7.1, 8.1, 9.1, y=9.1+1=10.1}
Ans : -3, 10.1

17) 44,4.4,0.88,0.264,0.1056, x
44 * 0.1 = 4.4
4.4 * 0.2 = 0.88
0.88 * 0.3 = 0.264
0.264 * 0.4 = 0.1056
0.1056 * 0.5 = 0.0528

1) 18,6,24,4,30,10,12,2,6, x
18/3 = 6 ... 24/6 = 4
30/3 = 10 .. 12/6 = 2
6/3 = 2
Ans : 2

5) 81,9^2,162,49,7^2 ,98,25,5^2,50,64, x, y
81 + 9^2 = 162
49 + 7^2 = 98
25 + 5^2 = 50
64 + 8^2 = 128
Ans : 8^2 , 128

6) 2,3,10,15,26,35,50, x
1^2 + 1 = 2
2^2 - 1 = 3
3^2 + 1 = 10
4^2 - 1 = 15
5^2 + 1 = 26
6^2 - 1 = 35
7^2 + 1 = 50
8^2 - 1 = 63
Ans : 63

7) 1,1,3,9,11,121, x
1^2 = 1
1 + 2 = 3
3^2 = 9
9 + 2 = 11
11^2 = 121
121 + 2 = 123
Ans : 123

8) (4,2,4),(8,6,8),(16, x , y)
(4, 2, 4) --> {2^2, 2^2-2, 2^2}
(8, 6, 8) --> (2^3, 2^3-2, 2^3}
(16, x,y) --> {2^4, 2^4-2, 2^4}
Ans : 14, 16

9) (8.8, 11, 5.05),(9.3, 12, 5.15),(9.8 ,13, x)
1st number in each group increases by "0.5" -->
8.8 + 0.5 = 9.3... 9.3 + 0.5 = 9.8
2nd number in each group increases by "1" -->
11 + 1 = 12 ... 12 + 1 = 13
3rd number in each group increases by "0.1" -->
5.05 + 0.1 = 5.15 ... 5.15 + 0.1 = 5.25
Ans : 5.25

11) (3,4,12,6),(1,8,8,4),(5,6,30, x)
3 * 4 = 12... 12/2 = 6
1 * 8 = 8... 8/2 = 4
5 * 6 = 30... 30/2 = 15
Ans : 15

2)ans 48
1+(3/2-1/2)*1=2
5+(16/3-1/3)*2=15
12+(49/4-1/4)*3=48

3)2,1,2,4,8,2,16,0.5,8,3/4,?
2*1=2
2*4=8
8*2=16
16*0.5=8
8*3/4=6
ans:6

12)1/3,1/2,1/4,2*1/3,3*1/2,2*1/4,13/3,13/2,?
ANS
convert the fractions and we get
4,6,3,28,42,27,52,78,x
(4,6,3)(28,42,27)(52,78,x)
1st and last number in each group difference is 1 hence
x=51

15) (9,3,24,4),(9,3,36, 6),(9,3,30, x)
9/3 = 3 ... 24/6 = 4
9/3 = 3 ... 36/6 = 6
9/3 = 3 ... 30/6 = 5
Ans : 5

17) 44,4.4,0.88,0.264,0.1056, x
44 * 0.1 = 4.4
4.4 * 0.2 = 0.88
0.88 * 0.3 = 0.264
0.264 * 0.4 = 0.1056
0.1056 * 0.5 = 0.0528
Ans : 0.0528

1)18/3=6 24/6=4 30/3=10 12/6=2 6/3=2 ans:2

15) 9/3=3 24/6=4 9/3=3 36/6=6 9/3=3 30/6=5 ans:5

7) 1^2=1 1+2=3 3^2=9 9+2=11 11^2=121 121+2=123 ans:123

8)(4 2 4) (8 6 8) (16 14 16)
the 1st and 3rd term in each group is multiplied by 2 by its previous group and the middle term is obtained by 2+4=6 6+8=14 ans:14,16

13)2x1+1=3 3x2+0=6
6x2+1=13 13x2+2=28
28x3+1=85 ans:85