5040, 720, 120, 24, 4, 2
Series Analysis: Identifying the WRONG Number
The question requires finding the incorrect term in the number series: 5040, 720, 120, 24, 4, 2.
Investigating the Number Series Pattern
Let's examine the relationship between the numbers in the series. Observe the sequence:
- 5040
- 720
- 120
- 24
- 4
- 2
Consider the possibility of factorials:
- $7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 5040$
- $6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720$
- $5! = 5 \times 4 \times 3 \times 2 \times 1 = 120$
- $4! = 4 \times 3 \times 2 \times 1 = 24$
- $3! = 3 \times 2 \times 1 = 6$
- $2! = 2 \times 1 = 2$
The series closely follows the pattern of decreasing factorials starting from $7!$.
Comparing Given Series with Factorial Pattern
Let's align the given series with the expected factorial sequence:
| Position | Given Series | Expected Factorial Term | Matches? |
|---|---|---|---|
| 1 | 5040 | $7! = 5040$ | Yes |
| 2 | 720 | $6! = 720$ | Yes |
| 3 | 120 | $5! = 120$ | Yes |
| 4 | 24 | $4! = 24$ | Yes |
| 5 | 4 | $3! = 6$ | No |
| 6 | 2 | $2! = 2$ | Yes |
The table shows that the number '4' in the fifth position does not fit the factorial pattern. The expected number for this position is $3!$, which is 6.
Conclusion: WRONG Number Identification
Based on the analysis, the number 4 is the incorrect term in the series. It deviates from the established pattern of decreasing factorials ($7!, 6!, 5!, 4!, 3!, 2!$).
Similar Questions
Which number breaks the pattern?
3, 6, 11, 20, 33, 70
- What should come in place of the question mark '?' in the following number series?
$45, 40, 50, ?, 55, 30$ - Complete the series.
$25, 36, 49, 64, 81, ?$ - What should come at the place of question mark? : $98, 90, 82, 74, ?, 58$
- In the following question, select the missing number from the given series.
169, 196, 225, 256, ? - What is the next number in the series?
1, 3, 9, 27, ___ - Complete the series.
7, 14, 12, 24, 22, ? - What should come at the place of question mark? 1, 8, 27, 64, 125, ?, 343
- The series given below contains a sequence of numbers. Accordingly identify the incorrect combination.
5, 9, 27, 31, 94, 97, 292 - Complete the series: 0, 7, 26, 63, ?
Important Questions from Number Series
What will come in place of question mark (?) in the following number series?
2, 5, 11, 23, 44, 77, ?
What will come in place of question mark (?) in the following number series?
31, 32, 36, ?, 61, 86
What will come in the place of question mark (?) in the following number series?
3, 6, 18, ?, 630, 6930
What should come in place of the question mark ‘?’ in the following number series?
60, 40, 50, ?, 180, 460
A series is given with one term wrong. Select that wrong term from the given alternatives.
J12, M24, P48, S96, U192
