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
If x > y > 0 where a > 1, then ?
log ax > log ay
logax < logay
logax ≥ logay
log ax = log ay
All possible two - factor products are from the digits 1,2,3,4, ...., 200. The number of factors out of the total obtained, which are multiples of 5, is
8040
7180
6150
4040
The sum of all positive divisors of 960 is
3048
2688
2248
1880
The remainder, when number 599 is divided by 13, is
2
8
12
32
If x 3 > ( x2 + x + 2 ), then
x < 2
x ≥ 2
x > 2
x ≤ 2
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 expression 3 2n + 2 - 8n - 9 is divisible by 64 for all
n ∈ N
n ∈ N, n < 2
n ∈ N n ≥ 2
n ∈ N, n > 2
The number 101 x 102 x 103 x 104 x ..... x 107 is divisible by .
4000
4050
5040
5050
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
