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.
6, 11, 21, 36, 56, ?
Answer: C
The pattern is + 5, + 10, + 15, + 20, ...
So, missing term = 56 + 25 = 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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2, 1, 2, 4, 4, 5, 6, 7, 8, 8, 10, 11, ?
Answer: B
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.
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1, 2, 3, 6, 9, 18, 34, ?
Answer: B
The numbers are alternately multiplied bt \(2\) and \(\frac{3}{2}\).
Thus \(1\times2=2,2\times \frac{3}{2}=3, 3\times 2=6,6\times \frac{3}{2}=9,..\)
\(\therefore\) Missing number = \(18 \times \frac{3}{2}=27\).
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1, 6, 13, 22, 33, ?
Answer: D
The pattern is \(+5, +7, +9, +11,..\)
So the missing number \(= 33+13=46\).
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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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5824, 5242, ?, 4247, 3823
Answer: B
Each term in the series is obtained by subtracting from the preceding term the number formed by the first three digits of the preceding term.
So, missing term = 5242 - 524 = 4718.
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198, 194, 185, 169, ?
Answer: D
The pattern is - 4, - 9, - 16,.....i.e. - 22, - 32, - 42,.....
So, missing pattern = 169 - 52 = 169 - 25 = 144.
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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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1, 9, 25, 49, ?, 121
Answer: B
The given series consists of squares of consecutive odd numbers i.e. 12, 32, 52, 72,.....
So, missing term = 92 = 81.
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