IBM
Company
Numerical Ability
Sequence and Series
What is the next number of the following sequences
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
5)81,9^2,162,49,7^2 ,98,25,5^2,50,64
6)2,3,10,15,26,35,50
7)1,1,3,9,11,121
8)4,2,4,8,6,8,16
9)8.8,11,5.05,9.3,12,5.15,9.8,13
10)588,196,471,157, 345,115,495,165,585
11)3,4,12,6,1,8,8,4,5,6,30
12)1/3,1/2,1/4,2*1/ 3,3*1/2,2*1/4,13/3,13/2
13)2,3,6,13,28
14)52,62,42,78,89,68,49,61,39,63,76,8*2/3
15)9,3,24,4,9,3,36, 6,9,3,30
16)25,3,7.1,1.50,1, 8.1,1.75,-1,9.1,2.00
17)44,4.4,0.88,0.264,0.1056
Read Solution (Total 8)
-
- 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
- 10 years agoHelpfull: Yes(32) No(0)
- 2)(1,1/2,3/2,)2,(5,1/3,5 1/3,)15,(12,1/4,49/4,)?
1+1/2=3/2...1/1/2=2
5+1/3=5 1/3..5/1/3=15
12+1/4=49/4..12/1/4=48
ans 48 - 10 years agoHelpfull: Yes(16) No(0)
- 10) (588,196),(471,157), (345,115),(495,165),(585, x)
588/3 = 196
471/3 = 157
345/3 = 115
495/3 = 165
585/3 = 195
Ans : 195 - 10 years agoHelpfull: Yes(9) No(0)
- 3)2,1,2,4,8,2,16,0.5,8,3/4
2*1=2(3rd number in series)
2*4=8(4th)
8*2=16
16*0.5=8
8*3/4=6
- 10 years agoHelpfull: Yes(3) No(0)
- Q.12) (1/3,1/2,1/4) , (7/3 or 2* 1/3, 7/2, 9/4), (13/2, 13/3,x)
here 1/3+2=7/3 (1st element of 2nd pair)
1/2+3=7/2 (2nd element of 2nd pair)
1/4+2=9/4 (3rd element of 2nd pair)
likewise 7/3+2=13/3, 7/2+3=13/2 and now x= 9/4+2=17/4. So 17/4 is the answer. - 10 years agoHelpfull: Yes(3) No(0)
- 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 - 10 years agoHelpfull: Yes(1) No(0)
- 1)18,6,24,4,30,10,12,2,6,x
6*3=18...4*6=24
10*3=30...2*6=12
x*3=6,x=2
ans 2 - 10 years agoHelpfull: Yes(0) No(0)
- 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
- 10 years agoHelpfull: Yes(0) No(0)
IBM Other Question
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
5)81,9^2,162,49,7^2 ,98,25,5^2,50,64
6)2,3,10,15,26,35, 50
7)1,1,3,9,11,121
8)4,2,4,8,6,8,16
9)8.8,11,5.05,9.3, 12,5.15,9.8,13
10)588,196,471,157, 345,115,495,165, 585
11)3,4,12,6,1,8,8,4 ,5,6,30
12)1/3,1/2,1/4,2*1/ 3,3*1/2,2*1/4, 13/3,13/2
13)2,3,6,13,28
14)52,62,42,78,89, 68,49,61,39,63, 76,8*2/3
15)9,3,24,4,9,3,36, 6,9,3,30
16)25,3,7.1,1.50,1, 8.1,1.75,-1,9.1, 2.00
17)44,4.4,0.88, 0.264,0.1056
Written Test in IBM held on 6th April at Acharya Institute of Technology, Bangalore.
1.Number Series(18 Questions)
2.Aptitude(18 Questions)==>Average
Time and Work
Time and Distance
Partnership
Total 36 Questions.
No negative Marking.
Each Question having 2min 15sec.
1) 3,6,9,12,15,18,21,?
2) 1,3,4,5,13,2,3,4,22,1,2,3,?
3) 0,1,1,2,0.5,2,2,,4,2,2,4,3,7,2,?
4) 1/2,1/4,3/4,3/8,7/8,7/16,?
5) 2,8,3,27,4,64,5,125,6,216,7,?
6) 2,3,10,15,26,35,50,?
7) 8.2,3.9,12.1,6.2,4.4,10.6,4.2,4.9,9.1,2.2,5.4,?
8) 2,3,6,13,28,?
9) 18,6,3,33,11,8,45,15,12,72,?
10) 1,1,3,9,11,121,?
11) -3,-6,-9,-82,-80,-30,-33,-36,-55,-53,-24,?
12) 52,62,42,78,89,68,49,61,39,63,76,?
13) -12,6,-15,-5,28,-14,9,3,-18,?
14) 2,1,2,4,8,2,16,0.5,8,3/4,?
15) 10,12,-36,-7,-5,15,19,21,?
16) 5,1,2,8,8,1,0,9,9,2,3,?
17) 15 3/4,16,26,9 1/5,9,19,64 2/3,65,75,243/8,?
(Or)
63/4,16,26,46/5,9,19,194/3,65,75,243/8,?
18) 7,-14,-4,15,-30,-20,-21,?