The remainder, when number 599 is dividend 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 sum of all positive divisors of 960 is _____.
3048
2688
2248
1880
The solution of the inequality is.
( 2/3, 8 )
( -2, 8/3 )
P (n) = P (n + 1 ) for all natural number n, then P (n) is ture ?
For all n
For all n > 1
For all n > m
Nothing can be said
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 solution of the inequality 2x2 + x - 15 ≥ 0 is _______.
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 number 101 x 102 x 103 x 104 x ..... x 107 is divisible by ______.
4000
4050
5040
5050
If equation (5 + 2 √6)n = i + f, Where i ∈ N, 0 < f < 1, then value of ( i + f ) ( 1 - f) is ______.
0
1
72n
22n