What is the number of 6-digit numbers that can be formed only by using 0, 1, 2, 3, 4 and 5 (each once); and divisible by 6 ? 

What is the binary number equivalent to decimal number 1011 ?

Let A be a matrix of order 3 × 3 and |A| = 4. If |2adj(3A)| = 2^α 3^β, then what is the value of (α + β)? 

If α and β are the distinct roots of equation x2 - x + 1 = 0, then what is the value of $\left|\frac{\alpha^{100}+\beta^{100}}{\alpha^{100}-\beta^{100}}\right|$ ?