Real Numbers Te...

A number when divided by 61 gives 27 as quotient and 32 as remainder, then the number is:

Every positive even integer is of the form ____ for some integer ‘q’.

Every positive odd integer is of the form ________ where ‘q’ is some integer.

For any two positive integers a and b,  such that a > b. there exist (unique) whole numbers q and r such that

For any positive integer ‘a’ and 3, there exist unique integers ‘q’ and ‘r’ such that a = 3q + r where ‘r’ must satisfy

If 112 = q × 6 + r,112 = q × 6 + r, then the possible values of r are:

By Euclid’ division lemma x = qy + r, x > y the value of q and ​​​​​​​r for ​​​​​​​x = 27 and ​​​​​​​y = 5 are:

Every positive odd integer is of the form 2q + 1, where ‘q’ is some

Any ____________ is of the form 4q + 1 or 4q + 3 for some integer ‘q’.

The product of three consecutive positive integers is divisible by