Question
Two pipes A and B can fill a tank in 24 min., and 32
min, respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 minutes?Solution
Let B be closed after x minutes. Then, Part filled by (A+B) in x min. + part filled by A in (18 – x) min. = 1 x (1/24 + 1/32 ) + ( 18 – x ) × 1/24 = 1 ⟹ 7x/96 + (18-x)/24 = 1 ⟹7 x + 4 (18 – x) = 96 ∴ x = 8 ∴ Hence, B must be closed after 8 minutes
4096 2048 514 64 4
...69 119 156 ? 199 209
24 25 46 ? 572 2885
...52 26 39 97.5 ?
...4 14 130 512 �...
4 8 12 48 ? 432
...3, 4, 10, 33, 136, ?, 4116
7 26 63 126 215 342
...The question below is based on the given series I. The series I satisfy a certain pattern, follow the same pattern in series II and answer the questions...
Find the wrong number in the given series.
12, 18, 27, 42, 62, 87
