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.
1, 3, 4, 8, 15, 27, ?
Answer: C
Explanation:The sum of any three consecutive terms of the series gives the next term.So, missing number = 8 + 15 + 27 = 50.
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Which of the following will not be a number of the series 1, 8, 27, 64, 125,.....?
Answer: A
The given series consists of cubes of natural numbers only. 256 is not the cube of any natural number.
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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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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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1, 1, 4, 8, 9, 27, 16, ?
Answer: B
Explanation:The series consists of squares and cubes of consecutive natural numbers So, missing term = cube of 4
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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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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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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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In the series 3, 9, 15, ...... what will be the 21st term?
Answer: C
Explanation:
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.
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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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