Latest IBM Aptitude Question SOLUTION: Q. What is the next number of the following sequence 1) 8,16,3,27,4,8,7,19,2,0,7, ? 2) 0.5,2,3,4.5,6.75, ? 3) 1/3, 1/2, 1/4, 2 1/3, 3 1/2, 4 1/4, 4 1/3, 6 1/2,? 4) 4.2,26.0,8

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(#M40032608) IBM Logical Reasoning question NUMBER SERIES PRACTICE SET Keep an EYE

Q. What is the next number of the following sequence
1) 8,16,3,27,4,8,7,19,2,0,7, ?

2) 0.5,2,3,4.5,6.75, ?

3) 1/3, 1/2, 1/4, 2 1/3, 3 1/2, 4 1/4, 4 1/3, 6 1/2,?

4) 4.2,26.0,8.9,8.4,52.0,17.8,16.8,104,?

5) 33,8,41,46,21,67,72,47,119,124, ?

6) 6,18,21,8,11,33,2,6,9,5,8,24,7,21?

7) 1370,1320,1070,-180, ?

8) 24, 42, 1/2,2,65,56,6/5,5/6,73,37, ?

9) 4,2,5,9,11,13,7,16,17,9, ?

10) 56,89,33,21,57,88,35,19,60,85,39,15,?

11) 175,94,188,124,372,323,1292,?

12) 5,1,2,8,1,0,9,2,3,14,1,3,?

13) -3,6,1,-2,4,-1,21,2,-3,?

14) 30,28,25,20,34,28,?

15) 5,50,10,40,15,30,20,20,?

16) 7,19,43,91,,187,?

17) 39,41,25,26,27,38,40,24,25,?

18) 32,29,26,64,61,58,96,93,90?

19) 1.5,3,7,16,35?

20) 12,8,8,6,4,4?

21) 3.2,4.2,4.7,2.7,6.2,1.2,7.7,-0.3,9.2,-1.8,?

22) -3 -6 -9 -82 -80 -30 -33 -36 -55 -53 -24

23) 52 62 42 78 89 68 49 61 39 63 76?

24) 3,7,10,8,4,12,0,5,5,3,2,5,?

25) 0,1,1,2,0.5,2,2,4,2,2,4,3,7,2,?

26) 5,10,9,3,6,5,4,8,7,7,?

27) 4,2,4,8,6,8,16,?

28) 49,6,25,4,36,5,81,?

29) 56,89,33,21,57,88,35,19,60,85,39,15,?

30) 3,2,1,4,5,4,5,1,0,6,3,?

31) 7,4,6,3,4.5,1.5,2.25,0.75,?

32) 22,19.5,21.45,33,30.5,33.55,44,41.5,?

33) 340,680,1428,3141.6,?

34) 1,9,0,2,7,1,3,5,2,4,3,?

35) 33,8,41,46,21,67,72,47,?

36) 1/7,3/4,4/9,5/6,7/11,7/8,?

37) 7,-14,-4,15,-30,-20,-21,42,?

38) 8,6,22,26,54,58,86,90,118,?

39) 8,16,3,27,4,8,7,19,2,0,7,?

40) 9,4,16,6,36,21,441,?

41) 9/8,4/3,17/8,10/3,7/3,42/8,10/3,29/4,13/3,7/2,16/3?

42) 4,25,130, ? ,3280

43) 1/2,1/2,1/4,1/6,1/8,1/16,?

44) 2,3,10,26,?

45) 3,4,12,76,588,?5,16,22,68,28,87,106,?

46) -3,-4,-9,-28,?

47) 34,4,21,59,43,3,20,66,12,2,16,?

48) 9,12,4,8,12,15,5,9,3,6,2,6,6,9

49) 0.8,1.8,3.6,3.6,4.6,9.2,9.2,10.2,?

50) 11,8,17,14,23,24,31,32,?

51) 3,2,1,4,5,4,5,1,0,6,3,?

52) 7.2,2.2,,3.2,16,11,12,60,55,56,?

53) 3,5,2,100,4,7,3,196,1,6,5,?

54) 2,9,5,49,11,169,?

55) 2,6,5,14,11,26,17,?

56) 22,19.5,21.45,33,26,15,-1,?

57) 1/4,1/4,1/23/2,6,?

58) 115,100,86,74,65,60,?

59) 49,39,37,33,26,15,?

60) 135,486,422,224,140,541,134,431,145,596,421???

61) 9,18,21,25,20,?

62) 30,28,25,20,34,28,?

63) 2/3,5/3,32/6,7 2/3,?

64) 1,1,3,1,5,3,4,10,4,2,?

65) 3,8,12,48,29,?

66) 36,42,16,20,36,42,4,?

67) 588,196,471,157,345,115,495,165,585,?

68) 35,57,12,14,2,7,9,42,67,?

69) 65,80,80,12,95,240,110,360,?

70) 3,4,12,76,588,?

71) 92,48,16,10,6.5,?

72) 2,1,2,3,8,0,1,9,1,2,?

73) 5, 6, 6. 5, 7. 5, 7, 7, 8, 9. 5, 8. 5, ?

74) 1,2,2,4,8,1,8,1/2,4,1,4,4?

75) 3,7,10,8,4,12,0,5,5,3,2?

76) 8,16,3,27,4,8,7,19,2,0,7?

77) 0,1,1,2,0.5,2,2,4,2,2,4,3,7,2?

78) 2,6,5,14,11,26,17?

79) 4,3,6,5,11,10,19,18,30,29?

80) -5,1,-11,23,29,17,-20,-14?

81) 4,2,36,4,5,1,36,16,6,3,81?

82) 2,1,2,3,8,0,1,9,1,2?

83) 4,11,66,74,370,379?

84) 2,1/3,2/3,6,7,1/2,3 1/2,14,20,1/5,4

85) 0,1,2,0.5,2,3,5,1,2,0,2,1,4,2,3?

86) 2,7,36,4,14,225,6,21?

87) 2,1,2,3,2,9,9,0,1,1,9?

88) 25,13,39,17,51,19,57,15,45?

89) 0,1,0,2,2,2,3,4,5,6,6?

90) 7,9,11,6,11,8,5,13,5,4,15?

91) 3, 6, 0, 18, 4, 5, 1, 20, 5, 1, 6 ?

92) 41.45,41.5,42,18.23,18.2,18,?

93) 100,98,95,90,83?

94) 1,1,3,1,5,3,4,10,4,2?

95) 7,9,11,6,11,8,5,13,5,4,15?

96) 2,7,36,4,14,225,6,21?

97) 2/3,5/3,19/6,31/6,23/3,32/3,84/6?

98) 12,22,35,68,15,28,31?

99) 36,56,96,156?

Asked In IBM piya (10 years ago)

Unsolved Read Solution (68)

Is this Puzzle helpful?   (22)   (3) Submit Your Solution Number Series

Read Solution (68) :

piya  (10 years ago)

99) difference is56-36=20 ,96-56=40, 156-96=60
so difference increase by 20 so difference in next term is 80 THUS 156+80=236 ans

98) 12*2-2=22, 35*2-2=68 .............31*2-2=60 ans

97) 2/3+1=5/3, 19/6+2=31/6, 23/3+3=32/3, 84/6+4=108/6 ans

96) break in 3 part
1.2,4,6,8...(+2)
2.7,14,21....(+7)
3.36,225,??
next term is (15+9)^2=576

95) break in 3 series
7,6,5,4(difference -1in all term )
9,11,13,15(diff +2)
11,8,5,??(diff -3)
so next term =5-3=2 ans
94)

93)difference in term is
100-98=2
98-95=3
95-90=5
90-83=7
2,3,5,7 all are prime number next prime number is 11
so next term=83-11=72 ans
92)

91)(3+6+0)*2 = 18
(4+5+1)*2 = 20
(5+1+6)*2 = 24

90) same as 95

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smita  (10 years ago)

1)8,16,3,27,4,8,7,19,2,0,7
8+16+3=27
4+8+7=19
2+0+7=9

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sneh roy  (10 years ago)

19> the series is 1.5,3,7,16,35,_
1.5*2+0=3
3*2+1=7
7*2+2=16
16*2+3=35
35*2+4=74(ans)

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arti gulia  (10 years ago)

3 Ans: 33/4

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PRIYA GOEL  (10 years ago)

1) 9
5)99
7)6070
10) 142
12) 18
15)25
16) 379
18) 128
19) 74
20) 0
21) 10.7
22) -27
23) 53
24) -7

Is this solution Helpfull? Yes (3) | No   

mahima tiwari  (10 years ago)

1) ans-9
2)8.25
4) 35.6
7)6070
11)1256
15)25
16) 379
18)138
21)10.7
22)-24,-27,-30

Is this solution Helpfull? Yes (2) | No   

piya  (10 years ago)

26)
(5 10 9)(3 6 5)(4 8 7)(7 ? ?)
5*2=10,10-1=9
3*2=6 ,6-1=5
4*2=8 ,8-1=7
so,7*2=14,14-1=13------> so the next numbers in the series are 14 and 13

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piya  (10 years ago)

28)For 49,6,25,4,36,5,81,?
how means 7^2,7-1,5^2,5-1----------9^2,9-1(8)
29)56,89,33,21,57,88,35,19,60,85,39,15,?
56 89 33 21
|(+1) |(-1) |(+2) |(-2)
57 88 35 19
|(+3) |(-3) |(+4) |(-4)
60 85 39 15
|(+5) |(-5) |(+6) |(-6)
65 80 45 9

so the ans will be 65,80,45,9

30)3,2,1,4,5,4,5,1,0,6,3,?
3+2-1=4
4+5-4=5
5+1-0=6
6+3-x=7
x=2------> the ans is 2
31)series is 7,4,6,3,4.5,1.5,2.25,-0.75,x

7-3=4, 4*(1.5)=6
6-3=3, 3*(1.5)=4.5
4.5-3=1.5, 1.5*(1.5)=2.25
2.25-3=-0.75, -0.75*(1.5)=-1.125
Ans is -1.125

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Rahul KUmar  (7 years ago)

(10) (56,89,33,21),(57,88,35,19),(60,85,30,x)

1st terms of brackets => 56 , 56 + 1 , 56 + 4
2nd terms of brackets => 89 , 89 - 1 , 89 - 4
----------------------------------------------------------
3rd terms of brackets => 33 , 33 + 2 , 33 - 3
4th terms of brackets => 21 , 21 - 2 , 21 + 3 = x

=> x = 24

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Rahul KUmar  (7 years ago)

17) 39,41,25,26,27,38,40,24,25,?
=>(39,41,25,26,27)(38,40,24,25,?)
=>(39+2=41, 25+1=26, 26+1=27) (38+2=40, 24+1=25, 25+1=26)
=> 26 Answer

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ruby  (7 years ago)

7) 1370,1320,1070,-180, ?
1370 - 50 = 1320
1320 - 250(50*5) = 1070
1070 - 1250(250*5) = -180
-180 - 6250(1250*5) = -6430 (ANS)

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piya  (10 years ago)

27)
4,2,4,8,6,8,16,
the next ans will be 14 as the series goes in this manner -2,+2,*2,-2,+2,*2 n carry on..

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swati  (10 years ago)

88. -7
break series into 2 (25,13),(39,17),,,,etc differences are 12,22,32,42,52

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SHUBHI SHUKLA  (10 years ago)

79) 29+15 ans

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NIRMAL KUMAR M Y  (10 years ago)

5) 33,8,41,46,21,67,72,47,119,124,?
33+8=41
41+5=46
46-25=21
...
72+47=119
119+5=124
124-25=99

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yonesh  (10 years ago)

8) ans=7/3


24,42,1/2,2,65,56,73,37,?

tak alternate number
24,whn 2/4=1/2
42,whn 4/2=2
65,ly 6/5
56 = 5/6
73 = 7/3 n so on

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ruby  (7 years ago)

2) 0.5,2,3,4.5,6.75, ?
0.5 + 1.5 = 2
2 * 1.5 = 3
3 + 1.5 = 4.5
4.5 * 1.5 = 6.75
6.75 + 1.5 = 8.25(ANS)

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ruby  (7 years ago)

3) 1/3, 1/2, 1/4, 2 1/3, 3 1/2, 4 1/4, 4 1/3, 6 1/2,?
divide in grp of 3
(1/3, 2 1/3, 4 1 /3)
1/3+ 2 + = 2 1/3
2 1/3 + 2 = 4 1/3
(1/2, 3 1/2 , 6, 1/2)
1/2 +3 = 3 1/2
3 1/2 + 3 = 6 1/2
(1/4, 4 1/4, ?)
1/4 + 4 = 4 1/4
4 1/4 + 4 = 33/4 ( OR 8 1/4 ) ANS

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ruby  (7 years ago)

4) 4.2,26.0,8.9,8.4,52.0,17.8,16.8,104,?
divide this in grp of 3
(4.2, 8.4, 16.8)
4.2 * 2 = 8.4
8.4 * 2 = 16.8
(26.0, 52.0, 104)
26* 2 = 52
52 * 2 = 104
(8.9, 17.8 ,?)
8.9 * 2 = 17.8
17.8 * 2 = 35.6(ANS)

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ruby  (7 years ago)

5) 99
6) 6,18,21,8,11,33,2,6,9,5,8,24,7,21?
(6,18,21)
6*3 = 18
18+3 = 21
(8,11,33)
8+3 = 11
11* 3 = 33
(2,6,9)
2*3 = 6
6+3 = 9
(5, 8 ,24)
5+3= 8
8*3 = 24
(7,21,?)
7*3 = 21
21+3 = 24

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Rahul KUmar  (7 years ago)

(42) 4*5+5=25
25*5+5=130
130*5+5=655
655*5+5=3280
so answer is 655.

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Rahul KUmar  (7 years ago)

(44) 2,3,10,15,26,? this is right series
(1^2)+1=2
(2^2)-1=3
(3^2)+1=10
(4^2)-1=15
(5^2)+1=26
(6^2)-1=35

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Rahul KUmar  (7 years ago)

(48)(9,12,4,8)(12,15,5,9)(3,6,2,6)(6,9,X,Y)
9+3=12/3=4+4=8
12+3=15/3=5+4=9
6+3=9/3=3+4=7

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Rahul KUmar  (7 years ago)

(52)
3,4,5,6 is 1 series and
2-1=1
5-4=1
1-0=1
3-2=1
so ans=2

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Rahul KUmar  (7 years ago)

(52)
7.2,2.2,3.2,16,11,12,60,55,56,....
take 3 at a time...
I.e.
7.2,2.2,3.2 :
(7.2-2.2)=5,(2.2+1=3.2),3.2*5=16...
now , next 3..proceed in same ..16-5=11+1=12*5=60
now ,next 3...60-5=55+1=56*5=280
Ans=280

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Rahul KUmar  (7 years ago)

(58)
115-100=-15
100-86=-14
86-74=-12
74-65=-9
65-60=-5
-15+1=-14
-14+2+-12
-12+3=-9
-9+4=-5
-5+5=0
ans is 60+0=60

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Rahul KUmar  (7 years ago)

(59)
49-37=12
37-26=11
26-16=10

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Rahul KUmar  (7 years ago)

(60)
(135,[4][8][6]), (422,224), (140,541), (134,431), (145,596), (421,?)
=>1+3=[4], 3+5=[8], 5+1=[6] we got (135, 486) Follow same process for 3rd, 5th bracket.
=>for 2nd, 4th and 6th just opposite the digit as (422,224), (134,431), (421,?), So ?=124 Answer

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Rahul KUmar  (7 years ago)

(61)9,18,21,25,20
18-9=9=3^2
25-21=4=2^2
x-20=1=1^2=1 so x=21

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Rahul KUmar  (7 years ago)

(63)
we can write it as 2/3,5/3,16/3,72/3,
so 2,5,16,72,?
2*2+1^3=5
5*3+1^3=16
16*4+2^3=72
72*5+2^3=368
ans=368/3

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Rahul KUmar  (7 years ago)

(64)
(1,1,3), (2,1,5), (3,4,10), (4,2,x)

1,1,3
1*2+1=3

2,1,5
2*2+1=5

3,4,10
3*2+4=10

4,2,?
4*2+2=10

ans:10

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Rahul KUmar  (7 years ago)

(65) 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

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Rahul KUmar  (7 years ago)

(67)588,196,471,157,345,115,495,165,585,?
196*3 = 588
157*3 = 471
115*3 = 345
585/3 = 195 Answer

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Rahul KUmar  (7 years ago)

(72) 2,1,2,3,8,0,1,9,1,2,1,?
2+2=4,4-1=3
8+1=9,9-0=9
1+1=2,2-2=0
so,my ans is 0

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Rahul KUmar  (7 years ago)

(74) 1,2,2,4,8,1,8,1/2,4,1,4,4,?
1*2=2
2*4=8
8*1=8
8*1/2=4
4*1=4
4*4=16.
so the answer is 16.

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Rahul KUmar  (7 years ago)

(77)
0,1,1,2,0.5,2,2,4,2,2,4,3,7,2?
As 0+1=1 & 1/2=0.5
2+2=4 & 4/2=2
So 4+3=7 & 7/2 = 3.5

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Rahul KUmar  (7 years ago)

(78) its a prime number series
2 ,3*2 ,5,7*2,11,13*2,17
so next number is 19*2=38

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Rahul KUmar  (7 years ago)

79)4,3,6,5,11,10,19,18,30,29?
4+2=6
6+5=11
11+8=19
19+11=30
30+14=44 ans
same as one other series given in between them
3+2=5
5+5=10
10+8=18
18+11=29

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Rahul KUmar  (7 years ago)

(81)
(4,2,36,4),(5,1,36,16),(6,3,81, ?)
4+2=6 and 6^2=36
4-2=2 and 2^2=4

so that
6+3=9 and 9^2=81
6-3=3 and 3^2=9 Answer

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Rahul KUmar  (7 years ago)

(82)
2,1,2,3,8,0,1,9,1,2?
2^1=2
2^3=8
8^0=1
1^9=1
1^2=1
so ans is 1

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Rahul KUmar  (7 years ago)

(83)4,11,66,74,370,379?
11-4=7 11*6=66
74-66=8 74*5=370
379-370=9 379*4=1516

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Rahul KUmar  (7 years ago)

(86) 2, 4, 6.. which are +2 each instance; 7, 14, 21.. which are +7 each instance; and 36, 255, 576.. which are squares +9 each instance. 62 = 36. (6+9=15, so..) 152 = 225, (15+9=24, so..) 242 = 576.

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Rahul KUmar  (7 years ago)

88) 25,13,39,17,51,19,57,15,45?
25-13=12
39-17=22
51-19=32
57-15=42
45-x=52 so
x= -7 ans

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Rahul KUmar  (7 years ago)

89) 0,1,0,2,2,2,3,4,5,6,6?
0+1+0 = 1
2+2+2 = 6
3+4+5 = 12
6+6+? = 18....so Answer is 6

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Rahul KUmar  (7 years ago)

(90)7,9,11,6,11,8,5,13,5,4,15,_

7-1,9+2,11-3=6,11,8
6-1,11+2,8-3=5,13,5
5-1,13+2,5-3=4,15,2

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Rahul KUmar  (7 years ago)

(91)3, 6, 0, 18, 4, 5, 1, 20, 5, 1, 6 ?

1st*2nd=4th =>3*6=18
5th*6th=8th =>4*5=20
9th*10th=12th =>5*1=5
5 is ans

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Rahul KUmar  (7 years ago)

(92)41.45,41.5,42,18.23,18.2,18,73.09 is right series
41.45 round off to 41.5
and 41.5 round off to 42

18.23 -> 18.2 -> 18
73.09 -> 73.1

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Rahul KUmar  (7 years ago)

(97) 2/3,5/3,19/6,31/6,23/3,32/3,84/6?
5/3 -2/3 =1
31/6 -19/6=2
32/3 -23/3=3
(x- 85/6)=4 =>x=85/6+ 24/6 = 109/6

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Rahul KUmar  (7 years ago)

98) (12,22), (35,68), (15,28), (31,?)
(12+10=22), (35+33=68), (15+13=28), (31+29=60)
Logic is as : [x,x+(x-2)]

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Rahul KUmar  (7 years ago)

(99) 36,56,96,156?
56-36=20
96-56=40
156-96=60
so difference increase by 20 so difference in next term is 80
156+80=236 ans

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swati  (10 years ago)

piya how ur ans of q no 96 is 576.(last step)???

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swati  (10 years ago)

87.1(ans)
82.1(ans)

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Mithun  (10 years ago)

@swati

96) 6square 15 square next should be 24 square

adding 9 to each term

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kamaldeep kaur  (10 years ago)

63) i think the ans.. is 2

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SHUBHI SHUKLA  (10 years ago)

78) 19*2
76) 2+0+7=9
75)3+2
69) 110+15

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mani  (10 years ago)

27) 4,2,4,8,6,8,16,...
Ans:14
2+2=4
6+2=8
X+2=16
X=14
4,2,4,8,6,8,16,14,16

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karthik  (10 years ago)

6)1*3=3
2+8=10
3*4=12
4+8=12

ans 12

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arti gulia  (10 years ago)

85) 2
4+2=6
6/3=2

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NIRMAL KUMAR M Y  (10 years ago)

2)0.5,2,3,4,5,6.75
Ans: 8.25
0.5+1.5=2,
3
4
5
6.75+1.5=8.25

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Nehal Chourey  (10 years ago)

3)1/3, 1/2, 1/4, 2 1/3, 3 1/2, 4 1/4, 4 1/3, 6 1/2,?
sol. :- 01/3,01/2,01/4,(01+20)/3,(01+30)/2,(01+40)/4,(01+20+20)/3,(01+30+30)/2 and (01+40+40)/4 so ans is 81/4;
7)1370,1320,1070,-180,?
sol. :- 1370-50=1320,1320-(5*50)=1070,1070-(50*5*5)= -180,-180-(50*5*5*5)= -6430 so ans is -6430;

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Rahul  (10 years ago)

1) 0.5,2 3,4.5 6.75,x
0.5+(3/2)=2
3+(3/2)=4.5
6.75+(3/2)=8.25 therefor 8.25 will be next term

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yonesh  (10 years ago)

99)ans -236
36+20=56
56+40=96
96+60=156
156+80=236

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laxmi nagar  (9 years ago)

3) 3 1/4
5)99
6)24
7)6430
8)7/3
10)61
12)-18
15)2510
16)379
17)26
18)128
20)0

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Maharajancm  (9 years ago)

75)3+7=10
8+4=12
0+5=5
3+2=5
Ans=5

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harini  (9 years ago)

can anyone plz explain 16th question

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munimounica  (9 years ago)

Pls send clear solution for all questions ,a sap,as I have ibm written exam tmrw

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SHILPI KUMARI  (9 years ago)

16) 7,19,43,91,187?
7*2+5=19
19*2+5=43
43*2+5=91
91*2+5=187
187*2+5=ans

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Mr David Barr  (7 years ago)

10) Interleave 56, 33, 57, 35, 60, 39, ?
56>57 = 1
33>35 = 2
57>60 = 3
35>39 = 4
60>? = 5
Hence ? = 65
60

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