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151.

9, 27, 31, 155, 161, 1127, ?

Answer» The pattern is x 3, + 4, x 5, + 6, x 7,..... So, missing term = 1127 + 8 = 1135.
Discussion
152.

2, 1, 2, 4, 4, 5, 6, 7, 8, 8, 10, 11, ?

Answer» The given sequence is a combination of three series : I. 1st, 4th, 7th, 10th, 13th terms i.e. 2, 4, 6, 8, ? II. 2nd, 5th, 8th, 11th terms i.e. 1, 4, 7, 10 III. 3rd, 6th, 9th, 12th terms i.e. 2, 5, 8, 11 Clearly, I consists of consecutive even numbers. So, the missing term is 10.
Discussion
153.

3, 4, 7, 7, 13, 13, 21, 22, 31, 34, ?

Answer» The given sequence is a combination of two series : I. 3, 7, 13, 21, 31, ? and II. 4, 7, 13, 22, 34 The pattern in I is + 4, + 6, + 8, + 10,..... The pattern in II is + 3, + 6, + 9, + 12,..... So, missing term = 31 + 12 = 43.
Discussion
154.

198, 194, 185, 169, ?

Answer» The pattern is - 4, - 9, - 16,.....i.e. - 22, - 32, - 42,..... So, missing pattern = 169 - 52 = 169 - 25 = 144.
Discussion
155.

2, 3, 5,7,11,?, 17

Answer» Clearly, the given series consists of prime numbers starting from 2. So, the missing term is the prime number after 11, which is 13.
Discussion
156.

6, 12, 21, ?, 48

Answer» The pattern is + 6, + 9, + 12, + 15, ..... So, missing term = 21 + 12 = 33.
Discussion
157.

Which term of the series 5, 10, 20, 40, ..... is 1280?

Answer» Clearly, 5 x 2 = 10, 10 x 2 = 20, 20 x 2 = 40,..... So, the series is a G.P. in which a = 5 and r = 2. Let 1280 be the rath term of the series. Then, 5x2n-1 = 1280 2n-1 = 256 = 28 n - 1 = 8 n = 9.
Discussion
158.

1, 2, 3, 6, 9, 18, ?, 54

Answer» The pattern is x 2, x 3/2, x 2, x 3/2, x 2,..... So, missing term = 18 x 3/2 = 27.
Discussion
159.

6, 13, 25, 51, 101, ?

Answer» The pattern is x 2 + 1, x 2 - 1, x 2 + 1, x 2 - 1,..... So, missing term = 101 x 2 + 1 = 203.
Discussion
160.

5, 6, 9, 15, ?, 40

Answer» The pattern is + 1, + 3, + 6,....., i.e. + 1, + (1 + 2), + (1 + 2 + 3),..... So, missing term = 15 + (1 + 2 + 3 + 4) = 25.
Discussion
161.

1, 3, 4, 8, 15, 27, ?

Answer» The sum of any three consecutive terms of the series gives the next term. So, missing number = 8 + 15 + 27 = 50.
Discussion
162.

120, 99, 80, 63, 48, ?

Answer» The pattern is - 21, - 19, - 17, - 15,..... So, missing term = 48 - 13 = 35.
Discussion
163.

589654237, 89654237, 8965423, 965423, ?

Answer» The digits are removed one by one from the beginning and the end in order alternately so as to obtain the subsequent terms of the series.
Discussion
164.

3, 10, 101,?

Answer» Each term in the series is obtained by adding 1 to the square of the preceding term. So, missing term = (101)2 + 1 = 10202.
Discussion
165.

In the series 2, 6, 18, 54, ...... what will be the 8th term ?

Answer» Clearly, 2 x 3 = 6, 6 x 3 = 18, 18 x 3 = 54,..... So, the series is a G.P. in which a = 2, r = 3. Therefore 8th term = ar8-1 = ar7 = 2 x 37 = (2 x 2187) = 4374.
Discussion
166.

125,80,45,20,?

Answer» The pattern is - 45, - 35, - 25, ..... So, missing term = 20 - 15 = 5.
Discussion