If x 3 > ( x2 + x + 2 ), then ?
x < 2
x ≥ 2
x > 2
x ≤ 2
The sum of all positive divisors of 960 is _____.
3048
2688
2248
1880
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
The total number of proper divisors of 38808 is _______.
80
70
60
50
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
If log2 7 = x, then x is ________.
An irrational number
A rational number such that 0 < x < 2
A prime number of the form 7n + 2
A rational number such that 2 < x < 3
A student was asked to prove a statement P (n) by method of induction. He proved that P (3 ) is true such that
P (n) = P (n + 1 ) for all ______.
n ∈ N
n ≥ 3
n ∈ I
n < 3
The expression 3 2n + 2 - 8n - 9 is divisible by 64 for all ______.
n ∈ N, n < 2
n ∈ N n ≥ 2
n ∈ N, n > 2
The remainder, when number 599 is dividend by 13, is ______.
2
8
12
32
The unit digit in the number 7126 is ______.
1
3
9
5