Latest IBM Aptitude Question SOLUTION: Written Test in IBM held on 6th April at Acharya Institute of Technology, Bangalore. 1.Number Series(18 Questions) 2.Aptitude(18 Questions)==>Average Tim

1) 3,6,9,12,15,18,21,x
3 * 1 = 1
3 * 2 = 6
3 * 3 = 9
.
3 * 7 = 21
3 * 8 = 24
Ans : 24

2) 1,3,4,5,13,2,3,4,22,1,2,3, x
1 + 3 + 4 + 5 = 13
13 + 2 + 3 + 4 = 22
22 + 1 + 2 + 3 = 28
Ans : 28

3) 0,1,1,2,0.5,2,2,,4,2,2,4,3,7,2, x
0 + 1 = 1
1/2 = 0.5
2 + 2 = 4
4/2 = 2
4 + 3 = 7
7/2 = 3.5
Ans : 3.5

4) (1/2,1/4,3/4,3/8),(7/8,7/16, x, y)
1/2 * 1/2 = 1/4
1/4 * 3 = 3/4
3/4 * 1/2 = 1/8
7/8 * 1/2 = 7/16
7/16 * 3 = 21/16
21/16 * 1/2 = 21/32
Ans : 21/16, 21/32

5) (2,8),(3,27),(4,64),(5,125),(6,216),(7, x)
cube of 1st number is 2nd number
7^3 = 343
Ans : 343

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) (8.2,3.9,12.1),(6.2,4.4,10.6),(4.2,4.9,9.1),(2.2,5.4, x)
12.1 - 1.5 = 10.6
10.6 - 1.5 = 9.1
9.1 - 1.5 = 7.6
Ans : 7.6

8) 2,3,6,13,28, x
2 * 2 - 1 = 3
3 * 2 + 0 = 6
6 * 2 + 1 = 13
13 * 2 + 2 = 28
28 * 2 + 3 = 59
Ans : 59

9) (18,6,3),(33,11,8),(45,15,12),(72, x, y)
18/3 = 6
6 - 3 = 3
33/3 = 11
11 - 3 = 8
45/3 = 15
15 - 3 = 12
72/3 = 24
24 - 3 = 21
Ans : 24, 21

10) 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

11) -3,-6,-9,-82,-80,-30,-33,-36,-55,-53,-24,?
2 types of series:
-3,-6,-9 -82,-80
-30,-33,-36 -55,-53
-24,-27,-30
Ans : -27


12) (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

13) (-12,6),(-15,-5),(28,-14),(9,3),(-18, x)
-12/-2 = 6
-15/3 = -5
28/-2 = -14
9/3 = 3
-18/-2 = 9
Ans : 9

14) 2,1,2,4,8,2,16,0.5,8,3/4, x
2 * 1 = 2
2 * 4 = 8
8 * 2 = 16
16 * 0.5 = 8
8 * 3/4 = 6
Ans : 6

15) (10,12,-36),(-7,-5,15),(19,21, x)
10 + 2 = 12
12 * -3 = -36
-7 + 2 = -5
-5 * -3 = 15
19 + 2 = 21
21 * -3 = -63
Ans : -63

16) (5,1,2,8),(8,1,0,9),(9,2,3, x)
5 + 1 + 2 = 8
8 + 1 + 0 = 9
9 + 2 + 3 = 14
Ans : 14

16) (63/4,16,26),(46/5,9,19),(194/3,65,75),(243/8, x, y)
63/4 = 16 (approximately)
16 + 10 = 26
46/5 = 9
9 + 10 = 19
194/3 = 65
65 + 10 = 75
233/8 = 30
30 + 10 = 40
Ans : 30, 40

18) (7,-14,-4),(15,-30,-20),(-21, x, y)
7 * -2 = -14
-14 + 10 = -4
15 * -2 = -30
-30 + 10 = -20
-21 * -2 = 42
42 + 10 = 52
Ans : 42, 52

1) 3,6,9,12,15,18,21,?
next=(previous +3) => ? = 21+3 = 24

2) 1,3,4,5,13,2,3,4,22,1,2,3,?
1+3+4+5=13
13+2+3+4=22
22+1+2+3=28

3)0,1,1,2,0.5,2,2,,4,2,2,4,3,7,2,?
(0,1,1,2,0.5),(2,2,,4,2,2),(4,3,7,2,?)
0+1=1, 1/2 =0.5
2+2=4, 4/2 =2
4+3=7, 7/2= 3.5

4) 1/2,1/4,3/4,3/8,7/8,7/16,?
1/2 , 3/4 , 7/8 , 15/16 [1,3,7,x => (2^n-1)]
1/4 , 3/8 , 7/16 , 15/32


5) 2,8,3,27,4,64,5,125,6,216,7,?
(2,2^3),(3,3^3),(4,4^3),(5,5^3),(6,6^3),(7,7^3)
=> ? =7^3= 343

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

7) 8.2,3.9,12.1,6.2,4.4,10.6,4.2,4.9,9.1,2.2,5.4,?
(8.2,3.9,12.1),(6.2,4.4,10.6),(4.2,4.9,9.1),(2.2,5.4,?)
8.2+3.9=12.1
6.2+4.4=10.6
4.2+4.9=9.1
2.2+5.4=7.6

8) 2,3,6,13,28,?
2^1-0=2
2^2-1=3
2^3-2=6
2^4-3=13
2^5-4=28
2^6-5=59

9)18,6,3,33,11,8,45,15,12,72,?
(18,6,3),(33,11,8),(45,15,12),(72,x,y)
18/6= 3 ,6-3=3
33/11=3 , 11-3=8
45/15=3, 15-3=12
72/x=3 => x=24
x-y=3 => y=21

10) 1,1,3,9,11,121,?
(1,1),(3,9),(11,121),?
1,1^2 ,1+2=3
3,3^2 ,9+2=11
11,11^2 , 121+2=123

11) -3,-6,-9,-82,-80,-30,-33,-36,-55,-53,-24,?
(-3,-6,-9),(-82,-80),(-30,-33,-36),(-55,-53),(-24,x,y)
-3-3=-6, -6-3=-9 , -82+2=-80
-30-3=-33, -33-3=-36 , -55+2=-53
-24-3=x => x=-27

12) 52,62,42,78,89,68,49,61,39,63,76,?
(52,62,42),(78,89,68),(49,61,39),(63,76,x)
52+10=62,52-10=42
78+11=89, 78-10=68
49+12=61, 49-10=39
63+13=76, 63-10=x => x=53

13) -12,6,-15,-5,28,-14,9,3,-18,?
(-12,6),(-15,-5),(28,-14),(9,3),(-18,x)
-12/6 = -2 , -15/-5=3
28/-14= -2 , 9/3 = 3
-18/x = -2 => x=9

14) 2,1,2,4,8,2,16,0.5,8,3/4,?
(10,12,-36),(-7,-5,15),(19,21, x)
10 + 2 = 12, 12 * -3 = -36
-7 + 2 = -5, -5 * -3 = 15
19 + 2 = 21, 21 * -3 = x => x =-63

15) 10,12,-36,-7,-5,15,19,21,?
(10,12,-36),(-7,-5,15),(19,21,x)
10+2=12 , 12*(-3)=-36
-7+2=-5 , -5*(-3)=15
19+2=21 , 21*(-3)= x => x = -63

16) 5,1,2,8,8,1,0,9,9,2,3,?
( 5,1,2,8),(8,1,0,9),(9,2,3,x)
5+1+2=8
8+1+0=9
9+2+3=14 => x= 14

17) 15 3/4,16,26,9 1/5,9,19,64 2/3,65,75,243/8,?
(15 3/4,16,26),(9 1/5,9,19),(64 2/3,65,75),(24 3/8,x,y)
in each group
2nd no. = roundoff(1st no.) 3rd no. = (2nd no. +10)
x=roundoff(24 3/8)= 24
y=24+10=34

18) 7,-14,-4,15,-30,-20,-21,?
(7,-14,-4),(15,-30,-20),(-21,x,y)
7*(-2)=-14 , -14+10=-4
15*(-2)=-30, -30+10=-20
-21*(-2)= x => x = 42
x+10= y => 52

4) 1/2+1/4=3/4
1/2*3/4=3/8
1/2+3/8=7/8
1/2*7/8=7/16
1/2+7/16=15/16
1/2*15/16=15/32

ans is (15/16,15/32)

14) 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

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2)ans is 28
add sequentially 4 no. i.e. (1+3+4+5)=13
(13+2+3+)4=22
(22+1+2+3)=28

9)(18,6,3),(33,11,8),(45,15,12),(72, x, y)
18/3 = 6
6 - 3 = 3
33/3 = 11
11 - 3 = 8
similarly,
72/3 = 24
24 - 3 = 21

4) 1/2,1/4,3/4,3/8,7/8,7/16,?

1/2 1/4
3/4 3/8
7/8 7/16

Given the Numerator is 1,3,7. See the difference, its multiples of 2. 1-3=2,3-7=4, so next is 7-1=6.....so next series in numerator is 1
Denominator is multiple of 2..i e. 1*2=2,2*2=4,4*2=8,8*2=16,16*2=32 and so on....... ANS is==> 1/16, 1/32

3). 1/2,(1/2)*(1/2),3/4,(3/4)*(1/2),7/8,(7/8)*(1/2)
1/2-3/4=1/4
3/4-7/8=1/8
7/8-x=1/16 then x=15/16
next term 15/16,15/32 etc..

2) 1,3,4,5,13,2,3,4,22,1,2,3,?
ans:28
3+4+5=12 so 1+12=13
2+3+4=9 so 13+9=22
1+2+3=6 so 22+6=28(ans)

2 ,3,6,13,28, ?
the diff betwn neghbr digit are 1, 3,7,15, the pattern is 1*2+1=3, 3*2+1=7, 7*2+1=15 next will be 15*2+1=31
so 31 will be added to 28 , 28+31=59
59 will be the answer

2,3,10,15,26,35,50

3-2=1
10-3=7
15-10=5
26-15=11
35-26=9
50-35=15
x-50=13 (since there is differnce of 4 alternately)

x=63(ans)