Factorials | Algebra - Number Theory
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1. Factorials | Algebra - Number Theory
The value of factorial zero (i.e. 0!) is
- (a)
0
- (b)
1/2
- (c)
8
- (d)
1
- (e)
Not defined
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2. Factorials | Algebra - Number Theory
8! ÷ 5! = ?
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3. Factorials | Algebra - Number Theory
1! + 2! + 3! + 4! + 5! + 6! + …. 100! when divided by 5, would leave remainder
- (a)
0
- (b)
1
- (c)
2
- (d)
3
- (e)
4
4. Factorials | Algebra - Number Theory
The product of n consecutive positive integers is always divisible by
- (a)
n2 – 1
- (b)
(n + 1)!
- (c)
2n + 1
- (d)
n2 + 1
- (e)
n!
5. Factorials | Algebra - Number Theory
The product of 20 consecutive even natural numbers is always divisible by:
- (a)
220 × 20!
- (b)
220 × 21!
- (c)
220 × 22!
- (d)
None of these
6. Factorials | Algebra - Number Theory
Find the highest power of 2 in 50!?
- (a)
43
- (b)
29
- (c)
50
- (d)
47
7. Factorials | Algebra - Number Theory
Find the highest power of 4 in 50!?
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8. Factorials | Algebra - Number Theory
Find the highest power of 24 in 50!?
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