IBM
Company
Logical Reasoning
Number Series
1) 3,8,12,48,29
2) 48,24,35,7,16,8,7,15,80
3) 13,24,36,23,34,
4) 18, 24, 5, 21, 27, 8, 17, 23, 4, 24, 30, ?
5) 100, 98, 95, 90, 83,?
6) 1, 3, 3, 2, 8, 10, 3, 4, 12, 4, 8, ?
7) 49, 7, 98, 16, 4, 48, 9, 3, 36, 25, 5, ?
8) 9, 12, 4, 8, 12, 15, 5, 9, 3, 6, 2, 6, 6, 9, ?
9) 1,1,1,2,2,2,3,4,3,3,5,6,?
10) 33, 8, 41, 21, 67, 72, 47, 119, 124, ?
11) 1/7, 3/4, 4/9, 5/6, 7/11, 7/8, ?
12) -16,-8,4,24,12,-6,-40,?
13) -15,-14,34,32,-42,-39,58,54,-61,?
14) 13,24,36,23,34,56,33,44,96,43,54,...
15) 1,1/2,3/2,2,5,1/3,16/3,15,12,1/4,43/4,?
16) 9,15,26/3,29/2,25/3,14,8,26/2,23/3
17) 4,11,66,74,370,379
18) 2/3,5/3,32/6,7 2/3
19) 5,16,22,68,28,87,34
20) -5 1 -11 23 29 17 -20 -14
21) 1.8,3,0,6,2.5,5,0.5,3.4,2,1.7,4.8,6,?
22) 7776, 625, 64,9,?
23) 7,-14,-4,15,-30,-20,-21,?
24) 7,-35, -34, -3, 15, 16, ?
25) 4,2,4,8,6,8,,16,?
26) 3,7,10,8,4,12,0,5,5,3,2,?
27) 3,2,1,4,5,4,5,1,0,6,3,2,?
28) 507,169,248,62,36,12,168,42,168,?
29) 2,3,10,15,26,35,50,?
30) 7,4,6,3,4.5,1.5,2.25,?
31) 7.2,2.2,3.2,16,11,12,60,55,56,?
32) 0.7,1.2,1.2,2.2,1.7,3.2,2.2,4.2,?
33) 1,3,3,2,8,10,3,4,12,4,8,?
34) 8,0.5,16,4,15,0.3,50,4.5,6,0.2,30,?
35) 5/6,1/3,1/2,1/2,2/8,1/4,5/6,1/6,2/3,1/2,1/3,?
36) 3/2,9/4,9/4,7/2,49/2,49/4,4/3,16/9,16/9,8/3,?
37) 2,6,5,14,11,26,17,?
38) 6,18,21,8,11,33,2,6,9,5,8,24,7,21,?
39) 9,4,16,6,36,21,441,?
40) 7,-35,-34,-3,15,16,4,?
41) 2,7,-35,7,12,-60,5,10,?
42) 1.25,9,22.5,0.75,8.5,22,0.25,8?
43) -12,6,-15,-5,28,-14,9,3,-18,?
44) 7/6,3/2,1,5/6,13/6,5/2
45) 48,24,35,7,16,8,75,1580,40
46) 0,1,2,0.5,2,2,2,2,4,3,2
47) 2,3,10,15,26
48) 3/2, 2 �, 2 �, 3 �, 12 �, 12 �, 1 1/3, 1 7/9, 1 7/9, 2 2/3, ?
49) 13,3,2,8,10,3,4,12,4,8, ?
50) 5,6,6,5,6.5,8,7,9.5, ?
51) 3,11,31,69...
52) 4,2,36,4,5,1,36,16,6,3,81,?
53) 7,6,5,4,6,5,9,?
54) 3,12,29,?
55) 3,8,12,48,29?
56) 1,1/2,3/2,2,5,1/3,16/3,15,12,1/4,49/4,7,...?
57) 56,89,33,21,57,88,35,19,60,85,30,...?
58) 1/2,5/4,2,11/4,7/2,..?
59) 0.5,1.25,2,2.75,3.5,.?
60) 5,50,10,40,15,30,20,20,...?
61) 11,17,-6,-13,24,30,-19,-26,20,...?
62) 38,36,76,35,114,34,..?
63) 18,6,24,4,30,10,12,2,6,...?
64) 1.25,3.71,1.50,1,8.1,1.75,-1,9.1,2.00,...?
65) 9,3,6,21,9,12,33,15,18,45,21,24,...?
66) 12,3,15,14,6,19,16,9,23,18,12,...
67) -15,-14,34,32,42,39,58,54,61
68) 8,5,9,7,2,25,51,16,8,6,...
69) 13,21,32,49,78,131,...
70) 507,169,248,62,36,12,168,42,168,....
Read Solution (Total 29)
-
- 1)3,8,12,48,29.?
Ans: 1^2+2=3
2^2*2=8
3^2+3=12
4^2*3=48
5^2+4=29
6^2*4=144(Ans:)
2)48,24,35,7,16,8,7,15,80,?
The right question will be:48,24,35,7,16,8,75,15,80,?
Ans:48/2=24
35/5=7
16/2=8
75/5=15
80/2=40(Ans.)
3)13,24,36,23,34,?
The right question will be:13,24,36,23,34,56,33,44,96,43,54,156,?
The 1st series is:13,23,33,43,53...
the 2nd series is:24,34,44,54,64.....
The 3rd series is:36,56,96,156,236.....
Ans: 53,64,236
4) 18, 24, 5, 21, 27, 8, 17, 23, 4, 24, 30, ?
Ans:18+6=24
24-19=5
21+6=27
27-19=8
17+6=23
23-19=4
24+6=30
30-19=11(Ans)
5)100, 98, 95, 90, 83,?
Ans: Subtract prime numbers
100-2=98
98-3=95
95-5=90
90-7=83
83-11=72(Ans)
6)1, 3, 3, 2, 8, 10, 3, 4, 12, 4, 8, ?
Ans: 1*3=3
2+8=10
3*4=12
4+8=12(Ans)
7)49, 7, 98, 16, 4, 48, 9, 3, 36, 25, 5, ?
Ans:49=7^2
49*2=98
16=4^2
16*3=48
9=3^2
9*4=36
25=5^2
25*5=125(Ans)
8)9, 12, 4, 8, 12, 15, 5, 9, 3, 6, 2, 6, 6, 9, ?
Ans:divide lik dis as
(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
add 3 to 1st digit den divide 3 to 2nd digit den add 4 to 3rd digit..
so answer is 3 and 7
9)1,1,1,2,2,2,3,4,3,3,5,6,?
actual series is 0,1,1,1,2,2,2,3,4,3,3,5,6
0+1+1/2=1
2+2+2/2=3
4+3+3/2=5
6+4+4/2=7 and so on..................
10)33, 8, 41, 21, 67, 72, 47, 119, 124, ?
Ans:33+8 = 41 33-8 = 25
46 + 21 = 67 46 - 21 =25
72 + 47 = 119 72-47 = 25
124 + 99 124 - 99 = 25 answer = 99(Ans)
11)1/7, 3/4, 4/9, 5/6, 7/11, 7/8, ?
Ans:
two series
1st is:3/4,5/6,7/8,....
2nd is:1/7,4/9,7/11 nm increases by 3 and dm by 2
so 10/13(Ans)
12) -16,-8,4,24,12,-6,-40,?
Ans:-16/2=-8
4*6=24
12/-2=-6
-40*-6=240(Ans)
13)-15,-14,34,32,-42,-39,58,54,-61,?
Ans:-15+1=-14
34-2=32
-42+3=-39
58-4=54
-61+5=-56(Ans)
14)13,24,36,23,34,56,33,44,96,43,54,...?
Ans:Same as question no.3
15)1,1/2,3/2,2,5,1/3,16/3,15,12,1/4,43/4,?
43/4 should be 49/4 as 12+ 1/4=49/4
Ans:(1,1/2,3/2,2),(5,1/3,16/3,15),(12,1/4,49/4,X)
[1+(3/2-1/2)*1=2]
[5+(16/3-1/3)*2=15]
[12+(49/4-1/4)*3=48=x]
16)9,15,26/3,29/2,25/3,14,8,26/2,23/3,?
Correct question will be:9,15,26/3,29/2,25/3,14,8,27/2,23/3,?
Ans:2 Series:
1st Series: 27/3, 26/3, 25/3, 24/3, 23/3
2nd Series: 30/2, 29/2, 28/2, 27/2,26/2
Ans:26/2=13
17)4,11,66,74,370,379,?
Ans:4+7=11 , 11*6=66
66+8=74 , 74*5=370
370+9=379 , 379*4=1516(Ans)
18) 2/3,5/3,32/6,72/3,?
Ans: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
19) 5,16,22,68,28,87,34,106,11,?
Ans:5*3=15+1=16;
22*3=66+2=68;
28*3=84+3=87;
34*3=102+4=106;
11*3=33+5=38(Ans)
20)-5 1 -11 23 29 17 -20 -14
Ans:(-5,1,-11),(23,29,17),(-20,-14,?)
-5+6=1 , 1-12=-11
23+6=29 , 29-12=17
-20+6=-14 , -14-12=-26(Ans)
21)1.8,3,0,6,2.5,5,0.5,3.4,2,1.7,4.8,6,?
Ans:1.8/3=0.6
2.5/5=0.5
3.4/2=1.7
4.8/6=0.8(Ans)
22)7776, 625, 64,9,?
Ans:7776= 6^5
625=5^4
64=4^3
9=3^2
2=2^1
Ans=2
23)7,-14,-4,15,-30,-20,-21,?
Ans:7*(-2)=-14
-14+10=-4
Again 15*(-2)=-30
-30+10=-20
in the same way -21*(-2)=42(Ans)
24)7,-35, -34, -3, 15, 16, ?
Ans:7*-5=-35
-35+1=-34
-3*-5=15
15+1=16 series will be like above
now 7-(-3)=10(difference)
-3-10=-13(should be the next term)
-13*-5=65
65+1=66
and so on..........................
25)4,2,4,8,6,8,,16,?
Ans:4-2=2
4*2=8
8-2=6
8*2=16
16-2=14(Ans)
26)3,7,10,8,4,12,0,5,5,3,2,?
Ans:3+7=10
8+4=12
0+5=5
3+2=5(Ans)
27)3,2,1,4,5,4,5,1,0,6,3,2,?
Ans:3,4,5,6 is 1 series and
2-1=1
5-4=1
1-0=1
3-2=1
Ans here is=7
28) 507,169,248,62,36,12,168,42,168,?
Ans:169*3=507
62*4=248
12*3=36
42*4=168
so 56*3=168 hence the ans is 56(Ans)
29)2,3,10,15,26,35,50,?
Ans:Main sol:
1X1+1=2
2X2-1=3
3X3+1=10
4X4-1=15
5X5+1=26
6X6-1=35
7X7+1=50
8X8-1=63
--------------------
Optional Solution:
(2,3,10,15),(26,35,50,?)
26-2=24
35-3=32,the difference increases by 8.
50-10=40
63-15=48
So the answer is :63(Ans)
30)7,4,6,3,4.5,1.5,2.25,?
Ans:7-3=4; 4*(3/2)=6 ;
6-3=3; 3*(3/2)=4.5;
4.5-3=1.5; 1.5*(3/2)=2.25;
2.25-3=-0.75(Ans)
31)7.2,2.2,3.2,16,11,12,60,55,56,?
Ans:7.2-5=2.2
3.2*5=16
16-5=11
12*5=60
60-5=55
56*5=280(Ans)
32)0.7,1.2,1.2,2.2,1.7,3.2,2.2,4.2,?
Ans:0.7,1.2,1.7,2.2,2.7....increases by 0.5
1.2,2.2,3.2,4.2,5.2...increases by 1
So the ans:2.7(Ans)
33)1,3,3,2,8,10,3,4,12,4,8,?
Ans:1*3=3
2+8=10
3*4=12
4+8=12(Ans)
34)8,0.5,16,4,15,0.3,50,4.5,6,0.2,30,?
Ans:make first 4nos a pair,2nd 4 no a pair n 3 rd 4nos a pair .den we wil get
8,0.5,16,4 i.e 8/0.5=16 & 8*0.5 =4
similarly d 2nd pair also n finally
6/0.2=30 & 6*0.2=1.2(Ans)
35) 5/6,1/3,1/2,1/2,2/8,1/4,5/6,1/6,2/3,1/2,1/3,?
Ans:(5/6, 1/3, 1/2)=> 5/6 = 1/3 + 1/2
(1/2, 2/8, 1/4)=> 1/2 = 2/8 + 1/4
(5/6, 1/6, 2/3)=> 5/6 = 1/6 + 2/3
so
1/2, 1/3, ? gives
1/2= 1/3+x
=1/6(Ans)
Here is the sol. of first 35 questions....:-)
- 9 years agoHelpfull: Yes(88) No(0)
- amrit chowdhury pls upload remaining 35 solutions also pls.....
- 9 years agoHelpfull: Yes(16) No(0)
- 65)(9,3,6),(21,9,12),(33,15,18),(45,21,24)(z,y,x),...?
we have to find z y x.
Z must be greater than x and y
x must be greater than y
dont be confuse k..... last two digits must be big n middle one small
6+3=9
12+9=21
18+15=33
24+21=45
finding x -series (6,12,18,24) adding +6 to each number =6+6=12, 12+6=18 18+6=24 24+6 =30=x
finding y -series (3,9,15,21) adding +6 to each number =3+6=9 .....so on....21+6 =27=y
finding z series 30+27=57
as i told u ppl. middle must be small and first one is big number so series is (57,27,30) ANS
do it on paper u will wont confuse. - 9 years agoHelpfull: Yes(10) No(0)
- 41) 2,7,-35,7,12,-60,5,10,?
Ans: divide like this
(2,7,-35), (7,12,-60) , (5,10,x)
2-7=-5*7=-35
7-12=-5*12=60
5-10=5*10=50
- 9 years agoHelpfull: Yes(6) No(0)
- 62) 38,36,76,35,114,34,..?
38,76,114,..?...
38*2=76
38*3=114
38*4=152 - 9 years agoHelpfull: Yes(6) No(1)
- 12) Ans=-20
Sol: (-16,-8,4)(24,12,-6)(-40,?,?)
-162 = -8
-8-2 = 4
242 = 12
12-2 = -6
-402 = -20 - 9 years agoHelpfull: Yes(3) No(0)
- 12). -16,-8,4,24,12,-6,-40,?
-8*2 =-16 & 8/2=4
12*2 = 24 & 12/2=6
-20*2 =-40 & -20/2=10
ans is -40 &10 - 9 years agoHelpfull: Yes(2) No(1)
- 66)12,3,15,14,6,19,16,9,23,18,12
12+3=15-0=15
14+6=20-1=19
16+9=25-2=23
18+12=30-3=27
68)8,5,9,7,2,25,51,16,8,6,...wrong question. question is 8,5,9,7,2,25,5,1,16,8,6....
8-5=3^2=9
7-2=5^2=25
5-1=4^2=16
8-6=2^2=4
- 9 years agoHelpfull: Yes(2) No(0)
- ans of 36 64/9
- 9 years agoHelpfull: Yes(2) No(0)
- 1) 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 (ans)
- 9 years agoHelpfull: Yes(1) No(0)
- 3) the series goes on like dis +11,+12,-13,+11,+12,-13.........
12,24,36,23,34,46,33,44....... - 9 years agoHelpfull: Yes(1) No(0)
- 48)1,3,3,2,8,10,3,4,12,4,8.....
1*3=3 2+8=10
3*4=12 4+8=12(ans)
- 9 years agoHelpfull: Yes(1) No(1)
- sry its not 18 its 69th.sry for previous comment
69)ans
21-13=8,11-8=3
32-21=11,17-11=6
49-32=17,29-17=12
78-49=29,53-29=24
131-78=53,x-53=48=101
so ans is 101+131=232
- 9 years agoHelpfull: Yes(1) No(0)
- 9) 1,1,1,2,2,2,3,4,3,3,5,6,?
Ans: (1,1,1,2) , (2,2,3,4) , (3,3,5,6) , (?,?,?,?)
sol: a + b = d and d - 1 = c
If we apply the same rule then our ans will be (4,4,7,8) - 7 years agoHelpfull: Yes(1) No(0)
- 42. 1.25,9,22.5,0.75,8.5,22,0.25,8,?
Step1- 1.25+7.75=9
Step2- 9+7.75×2-2=22.5
0.75+7.75=8.5
8.5+7.75×2-2=22
And so on
8+7.75×2-2=21.5 ans - 6 years agoHelpfull: Yes(1) No(0)
- 70) 507,169,248,62,36,12,168,42,168,...
169*3=507
62*4=248
so,56*3=169
- 9 years agoHelpfull: Yes(0) No(5)
- 18)ans
21-13=8,11-8=3
32-21=11,17-11=6
49-32=17,29-17=12
78-49=29,53-29=24
131-78=53,x-53=48=101
so ans is 101+131=232 - 9 years agoHelpfull: Yes(0) No(0)
- 26) ans is 5
(3+2=5) - 9 years agoHelpfull: Yes(0) No(0)
- 40) 7,-35,-34,-3,15,16,4,?
ans:7*-5=-35 then add +1 gives -34
lly 4*-5=-20 is the answer
- 9 years agoHelpfull: Yes(0) No(0)
- 38) 24 s d ans
- 9 years agoHelpfull: Yes(0) No(0)
- 12.(-16,-8,4)(24,12,-6)(-40,?,?)
-16/2=-8 => +2
-8/-2=4 => -2
24/2=12
12/-2=-6
-40/2=-20
-20/-2=10
ans=10 - 9 years agoHelpfull: Yes(0) No(0)
- 1)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
5^2*4=100
so 100 is the ans.... - 9 years agoHelpfull: Yes(0) No(1)
- 4) 18, 24, 5,21,27,8, 17, 23, 4, 24, 30, ?
ans// split in (18, 24, 5) (21,27,8) (17, 23, 4) (24, 30, ?)
18+3= 21 21-4=17 17+7=24
24+3=27 27-4=23 23+7=30
5+3=8 8-4=4 4+7=11
ans is 11 - 8 years agoHelpfull: Yes(0) No(0)
- 36 ) 3/2,9/4,9/4,7/2,49/2,49/4,4/3,16/9,16/9,8/3,?
Ans : 64/9 - 8 years agoHelpfull: Yes(0) No(0)
- 40) 7,-35,-34,-3,15,16,4,?
Ans:
7*-5=-35
-35+1=-34
-3*-5=15
15+1=16
4*-5=-20(Ans.)
-20+1=-19 - 8 years agoHelpfull: Yes(0) No(0)
- 9-5=4
4*4=16
16-10=6
6*6=36
36-15=21
21*21=441
hence 441-20=421
5 's table ( 5*1=5 5*2=10 5*3=15 5*4=20 ......) - 8 years agoHelpfull: Yes(0) No(0)
- 38) 6,8,21 >18/6+18=21
8,11,33 >(11-8)*11=33
2,6,9 >6/2+6=9
5,8,24 >(8-5)*8=24
7,21 >21/7+21=24 .ANS - 7 years agoHelpfull: Yes(0) No(1)
- 39) 9,4,16,6,36,21,441,?
3*3=9-5=4
4*4=16-10=6
6*6=36-15=21
21*21=441-20=421 ANS - 7 years agoHelpfull: Yes(0) No(0)
- 54)
1^2+2=3
3^2+3=12
5^2+4=29
7^2+5=54Ans - 7 years agoHelpfull: Yes(0) No(0)
IBM Other Question
there is 3 cube of each placed side by side. Each
cube is subdivided into 64 parts
each. 16 cubes from the top layer of 2nd cube was taken out and 32
cubes from the top 2 layers of
3rd cube. Then the whole object was painted.
Qs
1)what is the no. of cubes painted in 1 side alone?
2)what is the no.of cubes painted on 3 sides?
3)what is the no. of cubes painted on all 4 sides?
1) 1,1/2,3/2,2,5,1/3,16/3,15,12,1/4,49/4
2) 48,24,35,7,16,8,75,15,80
3)-27,9,-3,81,-27,9,54
4) 6,3,3,9,12,5,7,35,8,6,2
5) 7,-14,-4,15,-30,-20,-21,42
6) 7,4,6,3,4.5,1.5,2.25,-0.75
7) 7,0,1,8,5,12,9,26,3,23,2,28
8) 13,21,32,49,78,131
9) 2,3,10,15,26,35,50
10) 115,100,86,74,65,60,60
11) 40,39,37,33,26,15
12) 13,24,36,23,34,56,33,44,96,43,54
13) 2/3,5/3,19/6,31/6,23/2,32/3,85/6
14) 5,16,22,68,28,87,34,106,11
15) 4,11,66,74,370,379