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In each of these questions a number series is given. Below the series one number is given followed by (1), (2), (3), (4) and (5). You have to complete this series following the same logic as in the original series and answer the question that follows. 7 12 39 152 765 3 (1) (2) (3) (4) (5)
What will come in place of (3)?
- a)46
- b)60
- c)64
- d)56
- e)52
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In each of these questions a number series is given. Below the series...
7 X 2 - 2 = 12
View all questions of this test
12 X 3 + 3 = 39
39 X 4 - 4 = 152
152 X 5 + 5 = 765
3 X 2 - 2 = 4
4 X 3 + 3 = 15
15 X 4 - 4 = 56
Hence, option 4
Most Upvoted Answer
In each of these questions a number series is given. Below the series...
Given Series: 7 12 39 152 765 3
To find the number that will come in place of (3), we need to analyze the given series and identify the pattern or logic behind it.
Step 1: Analyzing the Differences
Let's first find the differences between consecutive terms in the series:
12 - 7 = 5
39 - 12 = 27
152 - 39 = 113
765 - 152 = 613
3 - 765 = -762
We can observe that the differences between consecutive terms are not following a simple arithmetic progression, as the differences are not constant. So, the pattern is not based on addition or subtraction of a constant value.
Step 2: Analyzing the Ratios
Now, let's find the ratios between consecutive terms in the series:
12 / 7 = 1.71
39 / 12 = 3.25
152 / 39 = 3.89
765 / 152 = 5.03
3 / 765 = 0.0039
The ratios between consecutive terms are also not following a simple geometric progression, as the ratios are not constant. So, the pattern is not based on multiplication or division by a constant value.
Step 3: Analyzing the Squares
Next, let's find the squares of the terms in the series:
7^2 = 49
12^2 = 144
39^2 = 1521
152^2 = 23104
765^2 = 585225
3^2 = 9
We can observe that the squares of the terms in the series are following an increasing pattern:
144 - 49 = 95
1521 - 144 = 1377
23104 - 1521 = 21583
585225 - 23104 = 562121
9 - 585225 = -585216
The differences between the squares are not following a simple arithmetic progression, but they seem to be increasing at a faster rate.
Step 4: Analyzing the Differences of Squares
Now, let's find the differences between consecutive squared terms in the series:
144 - 49 = 95
1521 - 144 = 1377
23104 - 1521 = 21583
585225 - 23104 = 562121
9 - 585225 = -585216
We can observe that the differences between consecutive squared terms are following a simple arithmetic progression:
1377 - 95 = 1282
21583 - 1377 = 20206
562121 - 21583 = 540538
-585216 - 562121 = -1143337
The differences between consecutive squared terms are increasing by a constant value of 1282.
Step 5: Finding the Missing Number
To find the missing number in the series, we need to continue the pattern of the differences of squared terms:
562121 + 540538 = 1101659
Therefore, the missing number is 1101659.
Conclusion
The number that will come in place of (3) in the series is 1101659.
To find the number that will come in place of (3), we need to analyze the given series and identify the pattern or logic behind it.
Step 1: Analyzing the Differences
Let's first find the differences between consecutive terms in the series:
12 - 7 = 5
39 - 12 = 27
152 - 39 = 113
765 - 152 = 613
3 - 765 = -762
We can observe that the differences between consecutive terms are not following a simple arithmetic progression, as the differences are not constant. So, the pattern is not based on addition or subtraction of a constant value.
Step 2: Analyzing the Ratios
Now, let's find the ratios between consecutive terms in the series:
12 / 7 = 1.71
39 / 12 = 3.25
152 / 39 = 3.89
765 / 152 = 5.03
3 / 765 = 0.0039
The ratios between consecutive terms are also not following a simple geometric progression, as the ratios are not constant. So, the pattern is not based on multiplication or division by a constant value.
Step 3: Analyzing the Squares
Next, let's find the squares of the terms in the series:
7^2 = 49
12^2 = 144
39^2 = 1521
152^2 = 23104
765^2 = 585225
3^2 = 9
We can observe that the squares of the terms in the series are following an increasing pattern:
144 - 49 = 95
1521 - 144 = 1377
23104 - 1521 = 21583
585225 - 23104 = 562121
9 - 585225 = -585216
The differences between the squares are not following a simple arithmetic progression, but they seem to be increasing at a faster rate.
Step 4: Analyzing the Differences of Squares
Now, let's find the differences between consecutive squared terms in the series:
144 - 49 = 95
1521 - 144 = 1377
23104 - 1521 = 21583
585225 - 23104 = 562121
9 - 585225 = -585216
We can observe that the differences between consecutive squared terms are following a simple arithmetic progression:
1377 - 95 = 1282
21583 - 1377 = 20206
562121 - 21583 = 540538
-585216 - 562121 = -1143337
The differences between consecutive squared terms are increasing by a constant value of 1282.
Step 5: Finding the Missing Number
To find the missing number in the series, we need to continue the pattern of the differences of squared terms:
562121 + 540538 = 1101659
Therefore, the missing number is 1101659.
Conclusion
The number that will come in place of (3) in the series is 1101659.
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In each of these questions a number series is given. Below the series one number is given followed by (1), (2), (3), (4) and (5). You have to complete this series following the same logic as in the original series and answer the question that follows. 7 12 39 152 765 3 (1) (2) (3) (4) (5)What will come in place of (3)?a) 46b) 60c) 64d) 56e) 52Correct answer is option 'D'. Can you explain this answer?
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