Logical Reasoning - Number and Letter Series
46. Find the missing number in the following series.
1, 3, 4, 8, 15, 27, ?
- Option : B
- Explanation : The sum of any three consecutive terms of the series is given to the next term. Hence, missing number = 8 + 15 + 27 = 50.
47. Find the missing number in the following series.
4, 16, 8, 64, ?, 256
- Option : A
- Explanation : The second number is the square of the first number; the fourth number is the square of the third number. Similarly, the sixth number should be the square of fifth. Hence, the answer is 16, i.e., square root of 256.
48. Find the missing number in the following series.
2/3, 4/7, ?, 11/21, 16/31
- Option : D
- Explanation : The numerator increases by addition of 2, 3, 4 and 5.
The denominator increases by addition of 4, 6, 8 and 10.
49. Find the wrong number in the sequence.
125, 127, 130, 135, 142, 153, 165
- Option : D
- Explanation : Prime number (numbers that are divisible by 1 and
themselves only) starting with 2 are being added to each
number to get the subsequent numbers.
Thus, the sequence of numbers can be read as 125, 125 + 2, 127 + 3, 130 + 5, 135 + 7, 142 + 11, and 153 + 13.
Hence, the last number should be 166.
50. Find the missing number in the following series.
3, 10, 101,?
- Option : C
- Explanation : Each term in the series is obtained by adding 1 to the square of the preceding term.
Hence, the missing term = (101)2 + 1 = 10,202.
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