1 votes
4 answers
4773
Convert the number $1982$ from base $10$ to base $12.$ The result is$1182$$1912$$1192$$1292$
0 votes
0 answers
4774
For all non-negative integers $x$ and $y, f(x, y)$ is defined as below$f(0, y) = y + 1$$f(x + 1, 0) = f(x, 1)$$f(x + 1,y + 1) = f(x, f(x + 1, y))$Then, what is the value ...
0 votes
0 answers
4779
In the figure above, $\text{AB = BC = CD = DE = EF = FG = GA}.$ Then $\measuredangle \text{DAE}$ is approximately$15^{\circ}$ $20^{\circ}$$30^{\circ}$$25^{\circ}$
0 votes
0 answers
4780
If $a, b, c$ are the sides of a triangle, and $a^2 + b^2 + c^2 = bc + ca + ab$, then the triangle isequilateral isoscelesright angled obtuse angled
0 votes
0 answers
4781
If the equation $x^3 – ax^2 + bx – a = 0$ has three real roots, then it must be the case that$b=1$$b \neq 1$$a=1$$a \neq 1$
0 votes
2 answers
4782
The area bounded by the three curves $|x + y| = 1, |x| = 1$, and $|y| = 1$, is equal to$4$ $3$$2$$1$
0 votes
1 answer
4785
0 votes
2 answers
4786
If $x^2 + y^2 = 0.1$ and $|x – y| = 0.2$, then $| x | + | y |$ is equal to$0.3$$0.4$$0.2$$0.6$
0 votes
1 answer
4787
Let $\text{N} = 55^3 + 17^3 – 72^3.\; \text{N}$ is divisible byboth $7$ and $13$both $3$ and $13$both $17$ and $7$both $3$ and $17$
0 votes
0 answers
4799
The integers $34041$ and $32506$ when divided by a three-digit integer $ n\text{’}$ leave the same remainder. What is $ n\text{’}?$$289$$367$$453$$307$
1 votes
1 answer
4800
Let $\text{N} = 1421 \times 1423 \times 1425.$ What is the remainder when $\text{N}$ is divided by $12?$$0$$9$$3$$6$