The total number of proper divisors of 38808 is _______.
80
70
60
50
The unit digit in the number 7126 is ______.
1
3
9
5
If a and b are nataural numbers such that a2 - b2 is a prime number, then _____.
a2 - b2 = 1
a2 - b2 = 2
a2 - b2 = a - b
a2 - b2 = a + b
P (n) = P (n + 1 ) for all natural numbers n, then P (n) is ture ?
For all n
For all n > 1
For all n > m
Nothing can be said
If x > -1, then the statement ( 1 + x ) n > 1 + nx is ture for ________.
All n < 1
All n > 1
All n ∈ N
All n > 1 provided x ≠ 0
The number 101 x 102 x 103 x 104 x ..... x 107 is divisible by ______.
4000
4050
5040
5050
By the method of mathematic induction, the inequality 2n + 7 ≤ ( n + 3 ) 2 is true ?
For all n ∈ N
For all n < 1
Only when n is odd
Only when n is even
If n > 1 and x ≠ 0. then expression ( 1 + x)n - nx -1 is divisible by _________.
x2
x3
x5
x7
The solution of the inequality 2x2 + x - 15 ≥ 0 is _______.
If equation (5 + 2 √6)n = i + f, Where i ∈ N, 0 < f < 1, then value of ( i + f ) ( 1 - f) is ______.
0
72n
22n
