1st shift:
1. 346,345,337,310,246, ?
346 - 13 = 345
345 - 23 = 337
337 - 33 = 310
310 - 43 = 246
246 - 53 = 121
2. 159, 79, 39, 19, ?, 4
159 - 80 = 79
79 - 40 = 39
39 - 20 = 19
19 - 10 = 9
9 - 5 = 4
3. 7.5, 9, 13.5, 27, 67.5, ?
7.5 + 1.5 = 9
9 + 4.5 = 13.5
13.5 + 13.5 = 27
27 + 40.5 = 67.5
67.5 + 121.5 = 189
(1.5 × 3 = 4.5, 4.5 × 3 = 13.5, 13.5 × 3 = 40.5, 40.5 × 3 = 121.5)
4, 2.5, 3.5, 9, 40, ?
4 × 0.5 + 0.5 = 2.5
2.5 × 1 + 1 = 3.5
3.5 × 2 + 2 = 9
9 × 4 + 4 = 40
40 × 8 + 8 = 328
5. 4.5,3.5,6,17,67, ?
4.5 × 1 - 1 = 3.5
3.5 × 2 - 1 = 6
6 × 3 - 1 = 17
17 × 4 - 1 = 67
67 × 5 - 1 = 334
Memory Based sitting arrangement and floor based puzzle: (Post the answer in the comment box)
1. There are 7 persons J, K, L, M, N, O and P are living in 7 different floors i.e. 2, 3, 5, 6, 11, 13 and 22 but not necessary in the same order.
Only two persons live below the floor on which O lives. J lives on an odd numbered floor. Only one person lives between J and I who does not live at the top most floor. M lives either immediate above or below K who lives an even numbered floor. L does not live on that floor which is a prime number floor.
2. There are 12 persons sitting in two parallel row facing north and south. S, T, U, V, W, X are facing north and M, N, O, P, Q, R are facing south but not necessary in the same order.
W is sitting second to the left of T. R is sitting infront of W. T is an immediate neighbour of that who sits infront of Q. There are only two persons sits between W and X. The difference between the place of S and X is one more than the difference between the place of P and O. O sits immediate right of Q. M sits third to the right of that person who sits infront of U. Neither R nor V is at any corner of the line.
2nd Shift:
1. 2, 3, 8, 27, 112, ?
2 × 1 + 1 = 3
3 × 2 + 2 = 8
8 × 3 + 3 = 27
27 × 4 + 4 = 112
112 × 5 + 5 = 565
2. 3, 4, 6, 14, 62, ?
3 + 1 = 4
4 + 2 = 6
6 + 8 = 14
14 + 48 = 62
62 + 384 = 446
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