Series Completion
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 and fill in the blank spaces.
97, 86, 73, 58, 45, (...)
Explanation: Given series: 97, 86, 73, 58, 45, (...)
The differences between consecutive terms:
97 - 86 = 11
86 - 73 = 13
73 - 58 = 15
58 - 45 = 13
As you observed, the differences alternate in the pattern: -11, -13, -15, -13, ...
To continue the pattern, the next difference should be -11:
45 - 11 = 34
Thus, the missing number is 34, and the correct answer is (B) 34.
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 and fill in the blank spaces.
1, 4, 2, 8, 6, 24, 22, 88, (......)
Explanation: Let's simplify it:
Series: 1, 4, 2, 8, 6, 24, 22, 88, (...)
Pattern: Multiply by 4, then subtract 2.
1 × 4 = 4
4 - 2 = 2
2 × 4 = 8
8 - 2 = 6
6 × 4 = 24
24 - 2 = 22
22 × 4 = 88
88 - 2 = 86
Next term = 88 - 2 = 86.
Answer : (D) 86
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 and fill in the blank spaces.
3, 8, 22, 63, 185, (....)
Explanation: The given series is: 3, 8, 22, 63, 185, (...)
The pattern follows this format: x 3 - n, where n increases with each step:
3 × 3 - 1 = 8
8 × 3 - 2 = 22
22 × 3 - 3 = 63
63 × 3 - 4 = 185
So, following the same pattern for the next term: 185 × 3 - 5 = 555 - 5 = 550
Thus, the missing number is 550..
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 and fill in the blank spaces.
6, 11, 21, 36, 56, (.....)
Explanation: Let's look at the differences between consecutive terms:
11 - 6 = 5
21 - 11 = 10
36 - 21 = 15
56 - 36 = 20
The differences are increasing by 5 each time (5, 10, 15, 20,...).
So, the next difference will be 25.
Thus, the next term will be:
56 + 25 = 81
The missing number is 81.
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 and fill in the blank spaces.
3, 7, 15, 31, 63, (.......)
Explanation: The pattern in the given series: 3, 7, 15, 31, 63, ...
The differences between consecutive terms are:
7 - 3 = 4
15 - 7 = 8
31 - 15 = 16
63 - 31 = 32
The differences are doubling each time: 4, 8, 16, 32, ...
So, the next difference should be 64.
Thus, the next term will be: 63 + 64 = 127.
The missing number is 127.
In each of the following letter series, some of the letters are missing which are given in that order as one of the alternatives below it. Choose the correct alternative.
1, 3, 7, 15, 27, 63, 127
Explanation: The given series is: 1, 3, 7, 15, 27, 63, 127
The pattern for the differences between consecutive numbers seems to follow powers of 2:
3 - 1 = 2 (which is 2^1)
7 - 3 = 4 (which is 2^2)
15 - 7 = 8 (which is 2^3)
27 - 15 = 12 (which is 2^4)
63 - 27 = 36 (which is 2^5)
127 - 63 = 64 (which is 2^6)
Thus, the sequence is increasing by powers of 2, and the number missing at the place of 27 should have been 31 because:
15 + 2^5 = 31.
Correct answer should be 31, replacing 27.
In each of the following letter series, some of the letters are missing which are given in that order as one of the alternatives below it. Choose the correct alternative.
8, 13, 21, 32, 47, 63, 83