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Series Completion

Important Instructions
Direction for [ Question No: 61 To 70 ] :

In each of the following questions, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern.

61.

5,6,9, 15, ?, 40

Answer: B

Explanation:The pattern is + 1, + 3, + 6,….., i.e. + 1, + (1, + 2), + (1 + 2 + 3),…..So, missing term = 15 + (1 + 2 + 3 + 4) = 25.

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62.

6, 13, 25, 51, 101, ?

Answer: C

Explanation:The pattern is x 2 + 1, x 2 – 1, x 2 + 1, x 2 – 1,…..So, missing term = 101 x 2 + 1 = 203.

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63.

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

Answer: B

Explanation:The pattern is x 2, x 3/2, x 2, x 3/2, x 2,…..So, missing term = 18 x 3/2 = 27

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64.

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

Answer: B

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.

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65.

    
1, 9, 25, 49, ?, 121

Answer: B

Explanation:

The given series consists of squares of consecutive odd numbers

So, missing term = square of 9 = 81.

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66.

1, 9, 25, 49, 81, ?

Answer: C

Explanation:

The series consists of squares of consecutive odd number

So, missing term = square of 11 = 121.

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67.

28, 33, 31, 36, ?, 39

Answer: B

Explanation:

The pattern is + 5, - 2, + 5, - 2,.....

So, missing term = 36 - 2 = 34.

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68.

66, 36, 18, ?

Answer: C

Explanation:

Each term in the series is the product of the digits of the preceding term.

So, missing term = 1 x 8 = 8.

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69.

125,80,45,20,?

Answer: A

Explanation:The pattern is – 45, – 35, – 25, …..So, missing term = 20 – 15 = 5.

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70.

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

Answer: B

Explanation: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.

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