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131. 66, 36, 18, ?

Discuss
Solution:
Each term in the series is the product of the digits of the preceding term.
So, missing term = 1 x 8 = 8.
132. In the series 3, 9, 15, ...... what will be the 21st term?

Discuss
Solution:
Clearly, 3 + 6 = 9, 9 + 6 = 15,.....
So, the series is an A.P. in which a = 3 and d = 6.
Therefore 21st term = a + (21 - 1) d = a + 20d = 3 + 20 x 6 = 123.
133. 28, 33, 31, 36, ?, 39

Discuss
Solution:
The pattern is + 5, - 2, + 5, - 2,.....
So, missing term = 36 - 2 = 34.
134. 1, 9, 25, 49, 81, ?

Discuss
Solution:
The series consists of squares of consecutive odd numbers
i.e. 12, 32, 52, 72, 92,.....
So, missing term = 112 = 121.
135. 1, 9, 25, 49, ?, 121

Discuss
Solution:
The given series consists of squares of consecutive odd numbers
i.e. 12, 32, 52, 72,.....
So, missing term = 92 = 81.
136. 2, 2, 5,13, 28, ?

Discuss
Solution:
The pattern is + 0, + 3, + 8, + 15, ..... i.e. + (l2 - 1), + (22 - 1), + (32 - 1), + (42 - 1), .....
So, missing term = 28 + (52 - 1) = 28 + 24 = 52.
137. 0, 2, 8, 14, ?, 34

Discuss
Solution:
The pattern is + 2, + 6, + 6, + 10, + 10,.....
So, missing term = 14 + 10 = 24.
138. 1, 5, 14, 30, 55, 91, ?

Discuss
Solution:
The pattern is + 4, + 9, + 16, + 25, + 36, ..... i.e. + 22, + 32, + 42, + 52, + 62,.....
So, missing term = 91 + 72 = 91 + 49 = 140.
139. In the series 10, 17, 24, 31, 38,.....which of the following will be a number of the series ?

Discuss
Solution:
The given series consists of numbers each of which, on dividing by 7, leaves a
remainder 3. No other number except 346 satisfies the property.
140. 240, ?, 120, 40, 10, 2

Discuss
Solution:
The pattern is ÷ 1, ÷ 2, ÷ 3, ÷ 4, ÷ 5.
So, missing term = 240 ÷ 1 = 240.

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