Number System MCQs

If a2 + b2 + c2 = 1, what is the maximum value of abc ?

Which is not a prime number ?

If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the followings is also a multiple of 11 ?

If the symbol [x] denotes the greatest integer less than or equal to x, then the value of : $$\left[ {\frac{1}{4}} \right]$$ $$ + $$ $$\left[ {\frac{1}{4} + \frac{1}{{50}}} \right]$$ $$ + $$ $$\left[ {\frac{1}{4} + \frac{2}{{50}}} \right]$$ $$ + $$ $$....$$ $$ + $$ $$\left[ {\frac{1}{4} + \frac{{49}}{{50}}} \right]$$

If (12n + 1) is divisible by 13, then n is :

By how many of the following numbers is 212 - 1 divisible ? 2, 3, 5, 7, 10, 11, 13, 14

The least number of five digit is exactly divisible by 88 is :

The difference between the squares of any two consecutive integers is equal to :

The smallest 6-digit number exactly divisible by 111 is :