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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16, 24, 36,… 81
Answer: B
Solution. (b) Previous number × = Next number
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19, 2, 38, 3, 114, 4, ?
Answer: E
The sequence is a combination of two series :
i. 19, 38, 114, ? and ii. 2, 3, 4
The pattern followed in i is \(\times2,\times3,...\)
\(\therefore\) Missing number \(=114\times4=456\)
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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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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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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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563, 647, 479, 815, ?
Answer: D
The pattern is + 84, - 168, + 336,.....i.e. + 84, - (84 x 2), + (84 x 22), .....
So, missing term = 815 - (84 x 23) = 815 - 672 = 143.
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20, 20, 19, 16, 17, 13, 14, 11, ?, ?
Answer: A
Let the missing terms of the series be x1 and x2.
Thus, the sequence 20, 20, 19, 16, 17, 13, 14, 11, xv x2 is a combination of two series :
I. 20, 19, 17, 14, x1 and II. 20, 16, 13, 11, x2
The pattern in I is - 1, - 2, - 3,......So, missing term, x1 = 14 - 4 = 10.
The pattern in II is - 4, - 3, - 2,......So, missing term, x2 = 11 - 1 = 10.
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2, 5, 9, ?, 20, 27
Answer: A
The pattern is +3, +4,...
\(\therefore\) Missing number = 9 + 5 =14
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