MCQ
The remainder when $x^{31} - 31$ is divided by $x + 1$ is:
- ✓$-32$
- B$31$
- C$30$
- D$0$
✓
Answer
Correct option: A.
$-32$
$ x^{31} - 31$
Using remainder theorem.
$= (-1)^{31}- 31$
$= -1 - 31$
$= -32$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In the given figure, $AOB$ is a straight line. If $\angle\text{AOC}=(3\text{x}-10)^\circ,\angle\text{COD}=50^\circ$ and $\angle\text{BOD}=(\text{x}+20)^\circ$ then $\angle\text{AOC}=?$
→The two diagonals are equal in a:
Any point on the line y = x is of the form
In the given figure if $\angle\text{CAB}=49^\circ$ and $\angle\text{ADC}=43^\circ,$ then the measure of $\angle\text{ACB}$ is: 
→Write the correct answer in the following: Which of the following is irrational?
The curved surface area of one cone is twice that of the other while the slant height of the latter is twice that of the former. The ratio of their radii is:
If a linear equation has solutions $(1, 2), (-1, -16)$ and $(0, -7)$, then it is of the form:
→In Fig. if $\text{AB}\perp\text{BC},$ then $x =$
→Which of the following needs a proof?
Angles of a triangle are in the ratio $2 : 4 : 3$. The smallest angle of the triangle is:
→