Latest IBM Aptitude Question SOLUTION: 2 pipes A and B can fill a tank in 30minutes and 20 minutes respectively. B filled ¾ of the tank. Then for the rest both A and B filled the tank. How much time it took to fill the

15+3=18 mins

ans=18
amount of water filled in tank by B in 1 min=1/20
time taken by B to fill 3/4 tank is
1min 1/20
? 3/4 i.e 15 min.
amount of water filled in tank by A+B in 1 min=1/20+1/30=1/12
time taken by A+B to fill 1/4 tank is
1min 1/12
? 1/4 i.e 3 min.
so total time taken to fill entire tank=time taken by B to fill 3/4 of tank+time taken by A+b to fill 1/4 of tank
= 15+3=18

1. 39,41,25,26,27,38,40,24,25,26,____ Answer:26
2. 4,2,4,8,6,8,16,____ Answer:14
3. 4,11,66,74,370,379,____ Answer:1516
4. 3,8,12,48,29,____ Answer:144
5. 4608,2304,576,288,72,____ Answer:36
6. 11,13,17,19,23,29,31,37,41,____ Answer:43
7. 0.8,1.8,3.6,3.6,4.6,9.2,9.2,10.2,____ Answer:20.4
8. 0,1,2,0.5,2,2,2,2,4,3,2,____ Answer:3.5
9. 1,3,3,2,8,10,3,4,12,4,8,____ Answer:12
10. 7,-14,-4,15,-30,-20,-21,-42,___ Answer:52
11. 3.2,4.2,4.7,2.7,6.2,1.2,7.7,-0.3,9.2,-1.8,___ Answer:10.7
12. 1/2,5/4,2,11/4,7/2,___ Answer:17/4
13. 2,9,5,49,11,169,____ Answer:17
14. 9,3,24,4,9,3,36,6,9,3,30,____ Answer:5
15. 2,12,30,56,90,____ Answer:132
16. 2,9,30,105,_____,2195 Answer:436
17. 2,5,9,1,5,10,3,8,____ Answer:14
18. 8,7,11,12,14,17,17,22,___ Answer:20
19. 33,8,4,46,21,____ Answer:17
20. 2,6,5,11,26,17,____ Answer:38
21. 1,46,163,388,757,_____ Answer:1306
22. 6,8,10,8,15,17,12,16,___ Answer:20
23. 11,8,17,14,23,24,31,32,___Answer:41
24. 1/4,1/4,1/2,3/2,6,____ Answer:30
25. 4.2,7.2,11.4,6.1,9.1,15.2,3.8,6.8,___ Answer:10.6
26. 5/6,1/3,1/2,1/2,2/8,1/4,5/6,1/6,2/3,1/2,1/3,____ Answer:1/6
27. 24,42,1/2,2,65,56,1 1/5,5/6,73,37,___ Answer:2 1/3
28. 2,1,2,3,2,9,9,0,1,1,9,____ Answer:1
29. 40,39,37,33,26,15,____ Answer:-1
30. 6,18,21,8,11,33,2,6,9,5,8,24,7,21,___ Answer:24
31. 9,15,26/3,29/2,25/3,14,8,27/2,23/3,___ Answer:13
32. 38,36,76,35,114,34,____ Answer:152
33. 4,4,5,6,8,11,16,24,_____ Answer:37
34. 10,12,-36,-7,-5,15,19,21,___Answer:-63
35. 9,3,6,21,9,12,33,15,18,____ Answer:45
36. 18,13,16,33,112,____ Answer:535
37. 4,3,8,4,24,13,60,____ Answer: 38
38. 42,12,40,2,62,____ Answer:13
39. 124,62,60,30,28,14,___ Answer:12
40. 8,8,10,18,44,124,____ Answer:366
41. 2,3,6,13,28,___ Answer:59
42. 2,9,23,79,415,____ Answer:3103
43. 4,64,1,1,3,27,2,___ Answer:8
44. 34,4,21,59,43,3,20,66,12,2,16,___ Answer:30
45. 0,1,1,1,1,2,1,3,3,1,___ Answer:5
46. 162,98,50,___ Answer:18
47. 2,6,5,14,11,26,17,____ Answer:38
48. 2,1,2,4,8,2,16,0.5,8,3/4,___ Answer:6
49. 1,-1,2,-6,2,-2,4,-12,3,____ Answer:-3
50. 1/2,5/4,2,11/4,7/2,____ Answer:17/4
51. 3,4,12,6,1,8,8,4,5,6,30,____ Answer:15
52. 1/2,1/4,3/4,3/8,7/8,7/16,____ Answer:15/16
53. 2,7,-35,7,12,-60,5,10,_____ Answer:-50
54. 340,680,1428,3141.6,_____ Answer:7225.68
55. 7/6,3/2,1,5/6,13/6,5/2,____ Answer:2
56. 92,48,16,10,6.5,____ Answer:5.25
57. 3,6,0,18,4,5,1,20,5,1,6,____ Answer:24
58. 7.2,2.2,3.2,16,11,12,60,55,56,___ Answer:280
59. 135,486,422,224,140,541,134,431,145,596,421,124,150,_____ Answer:651
60. 52,62,42,78,89,68,49,61,39,63,76,___ Answer:53
61. 2,1/3,2/3,6,7,1/2,7/2,14,20,1/5,4,___ Answer:100
62. 3,8,2,7,7,12,12,____ Answer: 17
63. 1,11,21,1211,111221,_____ Answer:312211
64. 2^4,6,5^9,14,11^15,26,17^25,____ Answer:42
65. 9,7,7,9,13,___ Answer:19
66. 4.2,26.0,8.9,8.4,52.0,17.8,16.8,104,____ Answer:35.6
67. 12,48,96,384,768,____ Answer:3072
68. 7,4,6,3,4.5,1.5,2.25,-0.75,____ Answer:-1.125
69. 7,28,63,124,____ Answer:215
70. -16,-8,4,24,12,-6,-40,20,____ Answer:-10
71. 1,2,9,24,120,36,_____ Answer:5040
72. 3,1,13,11,31,29,____ Answer:57
73. 6,120,504,1320,_____ Answer:2730
74. 1/2,3/16,5/8,____ Answer:11/16
73. 0.00005,0.001,0.02,0.4,_____ Answer:8
74. 1,2,3,5,7,10,13,17,_____ Answer:21
75. 18,20,10,12,4,6,____ Answer:0
76. 2,4,8,2,16,0.5,8,3/4,____ Answer:6
77. 32,0.2,160,15,0.5,30,28,0.7,____ Answer:40
78. 1,3,3,2,8,10,3,4,12,4,8,____ Answer:12
79. 5/6,1/3,1/2,1/2,2/8,1/4,5/6,1/6,2/3,1/2,1/3,____ Answer:1/6
80. 3,7,10,8,4,12,0,5,5,3,2,____ Answer:5
81. 56,88,33,21,57,88,35,19,60,85,30,____ Answer:24
82. 5,1,2,8,8,1,0,9,9,2,3,____ Answer:14
83. 4,2,4,8,6,8,16,____ Answer:14
84. 9,4,16,6,36,21,441,____ Answer:421
85. 4,20,84,340,____ Answer:1364
86. 1370,1320,1070,-180,_____ Answer:-6430
87. 8,2,14,6,11,_____,14,6,18,12 Answer:9
88. 3,10,13,20,23,30,____ Answer:33
89. 18,24,5,21,27,8,17,23,4,24,30,___ Answer:11
90. 3,8,12,48,29,____ Answer:144
91. 21,22,21,22,23,22,23,24,23,24,____ Answer:25
92. 1,1/2,3/2,2,5,1/3,16/3,15,12,1/4,49/4,___ Answer:48
93. 9,3,6,21,9,12,33,15,_____ Answer:18
94. 0,1,1,2,0.5,2,2,4,2,2,4,3,7,2,____ Answer:3.5
95. 3,8,13,24,41,____ Answer:70
96. 3,4,12,6,1,8,8,4,5,6,30,_____ Answer:15
97. 2,3,10,15,26,____ Answer:35
98. 507,169,248,62,36,12,168,42,168,____ Answer:56
99. 100,98,95,90,83,____ Answer:72
100. 5,6,7,8,10,11,14,_____ Answer:15
101. 4,3,5,9,12,17,____ Answer:26
102. 3,6,11,18,___ Answer:27
103. 54,49,____,39,34 Answer:44
104. -15,-14,34,32,-42,-39,58,54,-61,____ Answer:-55
105. 18,20,22,20,28,20,_____ Answer:36
106. 4,10,8,14,12,18,_____ Answer:16
110. 2,3,5,9,17,33,65,____ Answer:129
111. 1/3,1/5,3/25,9/125,_____ Answer:27/625
112. 1,1,4,8,14,42,___ Answer:51
113. 2,12,30,56,90,_____ Answer:132
114. 15,31,63,127,255,____ Answer:511
115. 1,3,6,10,15,_____ Answer:21
116. 9,3,6,21,9,12,33,15,____ Answer:18
117. 17,19,23,29,____,37 Answer:31
118. 40,41,41,42,42,42,44,44,_____Answer:44
119. 3,8,13,24,41,_____ Answer:70
120. 165,195,255,285,345,_____ Answer:375
121. 986,7248,14832,432246,1264824,________ Answer:2122432168
122. 17,18,19,34,35,19,20,____ Answer:21
123. 10,18,15,23,20,28,_____ Answer:25
124. 4,20,35,49,62,74,_____ Answer:85
125. 2,7,36,4,14,225,6,21,_____ Answer:576
126. 1,2,3,3,5,4,7,___ Answer:5
127. 46080,3840, 384,48,8,2,____ Answer:1
128. 4,10,____,82,244,730 Answer:28
129. 95,115.5,138,_____,189 Answer:162.5
130. 7,0,1,8,5,12,9,26,3,23,2,____ Answer:28
131. 1,1,2,4,6,36,39,1521,_____ Answer:1525
132. 1.8,3,0.6,2.5,5,0.5,3.4,2,1.7,4.8,6,____ Answer:0.8
133. 9,12,4,8,12,15,5,9,3,6,2,6,6,9,____ Answer:3
134. 1,1,3,9,11,121,___ Answer:123
135. 48,46,42,38,____ Answer:34
136. 7,-35,-34,-3,15,16,4,-20,____ Answer:19
137. 18,24,5,21,27,8,17,23,4,24,30,____ Answer:11
138. 7776,625,64,9,2,____ Answer:1
139. 2,9,5,49,11,169,17,____ Answer:361
140. 3^2,27,3^4,243,_____ Answer:3^6
141. 1,2,3,6,11,20,37,68,____ Answer:125
142. 5,1,2,8,1,0,9,2,3,14,1.3,2,____ Answer:17.3
143. 2/3,5/3,19/6,31/

b filled 3/4th : 3/4*20=15.
A & B togethr fill the entire tank within 12 min.
so 1/4th=12*1/4=3,
total time=15+3=18min.

A=1/30;
B=1/20;
B FILLED =3/4 OF TANK(T);...........(1)
(A+B)=1/4 OF T; ......(2)
ADD 1 AND 2 :-
A+2B=2T
=> T=1/15
THEREFORE, TIME TOOK TO FILL ENTIRE TANK T= 15 MIN

ans=18
amount of water filled in tank by B in 1 min=1/20
time taken by B to fill 3/4 tank is 1 1/20
?3/4 // so 15 min.
amount of water filled in tank by A+B in 1 min=1/20+1/30=1/12
time taken by A+B to fill 1/4 tank is 1 1/12
?1/4 // so 3 min.
so total time taken to fill entire tank=time taken by B to fill 3/4 of tank+time taken by A+b to fill 1/4 of tank
= 15+3=18.