IBM
Company
Numerical Ability
Sequence and Series
What is the next number of the following sequences
1. 4,2,-4,-8,32,26,-156
2. 5,10,9,3,6,5,4,8,7,7
3. 6,18,21,8,11,33,2,6,9,5,8,24,7,21
4. 100,98,95,90,83
5. 0,1,2,0,5,2,2,2,2,4,3,2
6. (2/3),(5/3),(19/6),(31/6),(23/3),(32/3),(85/6)
7. 13,24,36,23,34,56,33,44,96,43,54
8. 5,16,22,68,28,87,34,106,11
9. 7726,635,64,9
10. 4,11,66,74,370,379,1516
11. 2,1,2,3,8,0,1,9,1,2
12. 4,2,36,4,5,1,36,16,6,3,81
13. 5,10,25,15,30,75,150,80,155,400
14. 2,3,10,15,26
15. -3,-4,-9,-28
16. 3,8,12,48,29
17. (1/2),(1/2),(1/4),(1/6),(1/8),(1/18),(1/16)
Read Solution (Total 41)
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- 5) 100, 98, 95 , 90 , 83, x
Subtract each number with prime numbers(2,3,5,7,11)
100-2=98
98-3=95
95-5=90
90-7=83
83-11= 72
Ans : 72 - 10 years agoHelpfull: Yes(26) No(3)
- Q3) 6,18,21,8,11,33,2,6,9,5,8,24,7,21
sol: group numbers in this way
(6,18,21) (8,11,33) (2,6,9) (5,8,24) (7,21,?)
here :1)(6,18,21)
6*3=18
18+3=21
2)(8,11,33)
8+3=11
11*3=33
3)(2,6,9)
2*3=6
6+3=9
4)(5,8,24)
5+3=8
8*3=24
so 7*3=21
21+3=24(ans) - 10 years agoHelpfull: Yes(19) No(0)
- 1. 4-2=2
2*-2=-4
-4-4=-8
-8*-4=32
32-6=26
26*-6=-156
-156-8=-164
-164*-8=1312
- 10 years agoHelpfull: Yes(16) No(1)
- 2) assume to be sequence of
(5,10,9),(3,6,5),`94,8,7),(7,??)
5*2=10
10-1=9
3*2=6
6-1=5
so further sequence wil be 7*2=14
& 14-1=13 - 10 years agoHelpfull: Yes(13) No(0)
- Q6 ) 4/6,10/6,19/6,31/6,46/6,64/6,85/6
multiply with 6
4,10,19,31,46,64,85
Differences
10-4=6
19-10=9
31-19=12
46-31=15
64-46=18
85-64=21
6 9 12 15 18 21 next number in this series is 24
so the answer is
(85+24)/6= 109/6 - 10 years agoHelpfull: Yes(12) No(1)
- 7ans.3x1=3,2+3=5,5/3
6x2=12,19+12=31,31/6
3x3=9,23+9=32,32/3
6x4=24,85+24=109,109/6.
- 10 years agoHelpfull: Yes(6) No(0)
- Q 15) -3,-4,-9,-28
sol: -3*1-1=-4
-4*2-1=-9
-9*3-1=-28
so, -28*4-1=-113(ans) - 10 years agoHelpfull: Yes(6) No(0)
- 12) 4,2,36,4,5,1,36,16,6,3,81,?
Ans: (4,2),36,4,(5,1),36,16,(6,3),81,?
(4+2)^2=36
(4-2)^2=4
(5+1)^2=36
(5-1)^2=16
(6+3)^2=81
(6-3)^2=9
so ans is 9. - 8 years agoHelpfull: Yes(6) No(0)
- 10) 4,11,66,74,370,379,1516,?
sol) divide the groups in two. (4,11),(66,74),(370,379),(1516,?)
now (11-4)=7
(74-66)=8
(379-370)=9
so (?-1516)=10
so that.. ?=1516+10=1526 - 10 years agoHelpfull: Yes(5) No(0)
- 5)the series is.......0,1,2,0.5,2,2,2,2,4,3,2
(0,1,2,0.5),(2,2,2,2),4,3,2,x)
0+1=2,1/2=0.5
2+2=4,4/2=2
4+3=7,7/2=3.5. - 10 years agoHelpfull: Yes(5) No(7)
- 9).series is 7776,625,64,9
ans is 7776-6^5
625-5^4
64-4^3
9-3^2
2-2^1 - 10 years agoHelpfull: Yes(5) No(4)
- 8)13,24,36
23,34,56
33,44,96
43,54,156 - 10 years agoHelpfull: Yes(4) No(0)
- Q 7)may be the series like 13,24,36,23,34,56,33,44,76,43,54,
13,24,36,23,34,56,33,44,76,43,54,x
(13,23,33,43),(24,34,44,54),(36,56,76,x)
first two series are incr by 10
last one incr by 20..
so 76+20=96 ans - 10 years agoHelpfull: Yes(4) No(0)
- qus 1
4,2,-4,-8,32,26,-156
difference of -2,-4,-6,-8
so ans is -164
- 10 years agoHelpfull: Yes(4) No(1)
- 14) 2,3,10,15,26,.. 35
1^1+1=2
2^2-1=3
3^2+1=10
4^2-1=15
5^2+1=26
6^2-1=35 - 10 years agoHelpfull: Yes(4) No(0)
- 4)6*3=18 18+3=21
8+3=11 11*3=33
2*3=6 6+3=9
5+3=8 8*3=24
7*3=21 21+3=24
so ans is 24 - 10 years agoHelpfull: Yes(3) No(0)
- 15) -3*1-1=-4
-4*2-1=-9
-9*3-1=-28
-28*4-1=-113 - 8 years agoHelpfull: Yes(3) No(0)
- Q2. AT ALTERNATE POSITIONS 2*-3=-6, -6-2=-8
-8*-3=24, 24+2=26
LIKEWISE 26*-3=-78, 78-2=76 - 10 years agoHelpfull: Yes(2) No(2)
- 18. ans is 1/54
observe the alternate sequence and multiplied by 1/3
(1/2*1/3),(1/6*1/3),(1/18*1/3) - 10 years agoHelpfull: Yes(2) No(0)
- 11)2,1,2,3,8,0,1,9,1,2
(2+1+2+3=8),0,(1+9+1+2=13)
ans is 13 - 10 years agoHelpfull: Yes(2) No(2)
- 11) 2^1= 2, 2^3=8, 8^0=1, 1^9=1, 1^2= 2 ans
- 8 years agoHelpfull: Yes(2) No(0)
- 2)-80
3)14 - 10 years agoHelpfull: Yes(1) No(0)
- 3.5*2=10
10-1=9 similarly.
3*2=6
6-1=5,
4*2=8
8-1=7,
7*2=14
14-1=13
so, next term is 14,13 - 10 years agoHelpfull: Yes(1) No(1)
- 8) 5,16,22,68,28,87,34,106,?
5*3+1=16
22*3+2=68
28*3+3=87
34*3+4=106
similarly
11*3+5=138
- 10 years agoHelpfull: Yes(1) No(3)
- 14 ans-
1^2+1=2
2^2-1=3
3^2+1=10
4^2-1=15
5^2+1=26
so next is 6^2-1=35 - 10 years agoHelpfull: Yes(1) No(0)
- 1)(4,2,-4,-8,32)..(26,-156..)
4*2=8/(-2)= -4
-4*2=-8, -8*-4=32
26*(-156)= -4056/-2= 2028 - 10 years agoHelpfull: Yes(1) No(4)
- 12) 4,2,36,4,5,1,36,16,6,3,81
divide the series into groups (4,2),36,4,(5,1),36,16,(6,3),81,?
we can write this like (4,2),36,4,(5,1),36,4*4,(6,3),81,?
now 4+2=6 and 36=6*6
5+1=6 and 36=6*6
6+3=9 and 81=9*9
so that next term will be 4*4*4=64 - 10 years agoHelpfull: Yes(1) No(4)
- 14) 2,3,10,15,26,x
here represent the complete series in the form of 2 and 3
2,3,2(5*2=10),3(5*3=15),2(13*2=26),(13*3=39)
39 is the ans - 10 years agoHelpfull: Yes(1) No(3)
- 9)38
10)2
11)1526
12)1
13)36
15)35
17)146 - 10 years agoHelpfull: Yes(0) No(0)
- any one plz post ans for Q5.
- 10 years agoHelpfull: Yes(0) No(0)
- any1 plz solve qn no 11
- 10 years agoHelpfull: Yes(0) No(0)
- what's d answer of 5 sequence?
0,1,2,0,5,2,2,2,2,4,3,2 - 10 years agoHelpfull: Yes(0) No(0)
- the series is 13,24,36,23,34,56,33,44,96,43,54..?
(13,24,36),(23,34,56),(33,44,96),(96,43,54) observe the third term in every set
36+20=56
56+40=96
96+60=156
156 is the ans - 10 years agoHelpfull: Yes(0) No(1)
- 8).(5,16)=5*3+1;
(22,68)=22*3+2;
(28,87)=28*3+3;
(34,106)=34*3+4;
(11,x)=11*3+5;ans is 38 - 10 years agoHelpfull: Yes(0) No(0)
- 11). 2+1+2+3=8;
1+9+1+2=?;
ans is 13. - 10 years agoHelpfull: Yes(0) No(0)
- 13.) 5,10,25,15,30,75,150,80,155,400 ,X
5*1, (5*2, 5*5, 5*3, 5*6) , (5*15,5*30,5*16,5*31), next (5*80, 5*155)
pattern 2,3 ; 5,6; then 5*3 = 15,16, and 5*6= 30,31 so next is 5*16=80,81 and
5*155 = 775 ans =775 - 10 years agoHelpfull: Yes(0) No(6)
- 1) ''-192''. First four in one pack('4'*-2='-8', '2'*-2='-4'),next four ('32'*-6='-192', '26'*-6='-156').
2)"21". (x, 2x, 2x-1), 3 in a pack.
3)"24". Two packs i.e left n right and 3 in each pack . For left pack(x, 3x, 3+x), right pack(x, 3+x, 3x).
4)"72". Subtract with primes(-2, -3, -5, -7, -11...)
5)"6". Consider '2's position, it is fixed on 3, 6, 9, 12. Now check the next value i.e 4th table positions(4, 8, 12, 16), we have 0, 2, 4 and the next will be 6.
6)"(109/6)"Consider the pairs and the difference of the results in each pair after division will be in increment of 1. Like (2/3 = 0.6, 5/3=1.6), the difference of their results is 1, similarly the difference of result of next pair will be 2 and so on.
7)"156". 4 as a pair ( x, x+11, x+23, y=x+10), (y, y+11, y+33, z=y+10), (z, z+11, z+63, w=z+10), (w, w+11, w+113, q=w+10). Here, observe the third term in a pair, we have addition of 23, 33, 63. This is our series, so the diff is 10, 30. Obviously the next one will be 50. So adding 50 to 63 we get 113.
8)"125". Consider even terms, i.e 16 multiples. 16, 16*4 +4, 16*5 + 4 +3, 16*6 + 7 +3, 16*7 + 10+3.
9)Didn't get the answer.
10)"1526". x, y=x + 7, 6y, z=6y + 8, w=5z, q=w + 9, r=4q, s=r +10. Observe the additions individually and products individually.
- 8 years agoHelpfull: Yes(0) No(1)
- 15) -3*1-1=-4
- 8 years agoHelpfull: Yes(0) No(1)
- 15) -3*1-1=-4
- 8 years agoHelpfull: Yes(0) No(1)
- (4) 100,98,95,90,83
100 - 2(Prime No) = 98 - 3(Prime No) =95 - 5(Prime No) = 90 - 7(Prime No) = 83 - 11(Prime No) = 72 Answer - 8 years agoHelpfull: Yes(0) No(0)
- 2) 5,10,9,3,6,5,4,8,7,7,?
(5,10,9) 5*2=10-1=9
(3,6,5) 3*2=6-1=5
(4,8,7) 4*2=8-1=7
(7,x,x) 7*2=14-1=13 - 8 years agoHelpfull: Yes(0) No(0)
IBM Other Question
What is the next number of the following sequences
1) 7/6,3/2,1,5/6,13/6/2,1,?
2) 1,2,2,4,8,1,8,1/2,4,1,4,4,?
3) -5,1,-11,23,29,17,-20,-14,?
4) 92,48,16,10,6.5,?
5) 0,1,0,2,2,2,3,4,5,6,6,?
6) 6,9,11,13,17,20,22,24,28,?
7) 10,15,12,17,14,10,?
8) 6, 3, 3, 9, 12, 5, 7, 35, 8, 6, 2,?
9) -5 1 -11 23 29 17 -20 -14 ?
What is the next number of the following sequence
48, 24, 35,7,16 ,8,75,15, 80,40, ?