By the mathematical induction, the expression 11^{n+2} + 12^{2n + 1} is divisible by
133
124
114
113
The sum of all positive divisors of 960 is
3048
2688
2248
1880
If x > y > 0 where a > 1, then ?
log _{a}x > log _{a}y
log_{a}x < log_{a}y
log_{a}x ≥ log_{a}y
log _{a}x = log _{a}y
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 number 101 x 102 x 103 x 104 x ..... x 107 is divisible by .
4000
4050
5040
5050
The solution of the inequality 2x^{2} + x - 15 ≥ 0 is
The unit digit in the number 7^{126} is
1
3
9
5
The solution of the inequality is.
( ^{2}/_{3}, 8 )
( -2, ^{8}/_{3} )
If a and b are natural numbers such that a^{2} - b^{2} is a prime number, then
a^{2} - b^{2} = 1
a^{2} - b^{2} = 2
a^{2} - b^{2} = a - b
a^{2} - b^{2} = a + b
If P_{m} stands for ^{m}P_{m' }then the value of 1 + P_{1} + 2P_{2} + 3P_{3} + ..... + nP_{n} is
n!
n^{2}
( n + 1 )!
( n - 1 ) !