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,?

• 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
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
• 10 years agoHelpfull: Yes(54) No(2)
• 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
  
• 10 years agoHelpfull: Yes(21) No(1)
• 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)
• 10 years agoHelpfull: Yes(6) No(2)
• 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
• 10 years agoHelpfull: Yes(3) No(1)
• have u appeared for Asosiate system engineer?
• 10 years agoHelpfull: Yes(3) No(2)
• 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
  
• 10 years agoHelpfull: Yes(2) No(1)
• 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
  
• 10 years agoHelpfull: Yes(2) No(1)
• 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
• 10 years agoHelpfull: Yes(2) No(0)
• 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..
• 9 years agoHelpfull: Yes(2) No(0)
• 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)
• 9 years agoHelpfull: Yes(1) No(0)
• 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
• 9 years agoHelpfull: Yes(1) No(0)
• 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)
• 10 years agoHelpfull: Yes(0) No(0)