If x > -1, then the statement ( 1 + x ) n > 1 + nx is true for
All n < 1
All n > 1
All n ∈ N
All n > 1 provided x ≠ 0
The total number of proper divisors of 38808 is
80
70
60
50
If a and b are natural 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 true ?
For all n
For all n > 1
For all n > m
Nothing can be said
The solution of the inequality is.
( 2/3, 8 )
( -2, 8/3 )
The number 101 x 102 x 103 x 104 x ..... x 107 is divisible by .
4000
4050
5040
5050
If x 3 > ( x2 + x + 2 ), then
x < 2
x ≥ 2
x > 2
x ≤ 2
The remainder, when number 599 is divided by 13, is
2
8
12
32
The statement P (n ): ( 1 x 1! ) + (2 x 2! ) + (3 x 3! ) + .... + ( n x n !) = ( n + 1 )! - 1' is
True for all values of n > 1
Not true for any value of n
True for all values of n ∈ N
None of these
The value of ( 1 x 2 x 3 ) + ( 2 x 3 x 4 ) + ( 3 x 4 x 5 ) + ..... + n terms is