# Elementary Mathematics Questions and answers

Topics

1). If $$\Large a\ast b = 2a-3b+ab$$, then $$\Large 3\ast 5+5\ast 3$$ is equal to:
 A). 22 B). 24 C). 26 D). 28
2). If $$\Large p \times q = p+q+\frac{p}{q}$$, the va1ue of $$\Large 8 \times 2$$ is:
 A). 6 B). 10 C). 14 D). 16
3). Two numbers x and y (x > y) such that their sum is equal to three times their difference. Then value of $$\Large \frac{3xy}{2 \left(x^{2}-y^{2}\right) }$$ will be;
 A). $$\Large \frac{2}{3}$$ B). 1 C). $$\Large 1\frac{1}{2}$$ D). $$\Large 1\frac{1}{3}$$
4). The value of $$\Large \left(1+\frac{1}{x}\right) \left(1+\frac{1}{x+1}\right) \left(1+\frac{1}{x+2}\right) \left(1+\frac{1}{x+3}\right)$$ is:
 A). $$\Large 1+\frac{1}{x+4}$$ B). x+4 C). $$\Large \frac{1}{x}$$ D). $$\Large \frac{x+4}{x}$$
5). If $$\Large x = 7-4\sqrt{3}$$, then the value of $$\Large x+\frac{1}{x}$$
 A). $$\Large 3\sqrt{3}$$ B). $$\Large 8\sqrt{3}$$ C). $$\Large 14+8\sqrt{3}$$ D). 14

6). If $$\Large \frac{a}{b}=\frac{2}{3}\ and\ \frac{b}{c}=\frac{4}{5}$$ , then the ratio $$\Large \frac{a+b}{b+c}$$ equal to:
 A). $$\Large \frac{20}{27}$$ B). $$\Large \frac{27}{20}$$ C). $$\Large \frac{6}{8}$$ D). $$\Large \frac{8}{6}$$
7). If $$\Large a\ast b=2 \left(a+b\right)$$, then $$\Large 5\ast 2$$ is equal to:
 A). 3 B). 10 C). 14 D). 20
8). If $$\Large \frac{2a+b}{a+4b}=3$$, then find the value of $$\Large \frac{a+b}{a+2b}$$
 A). $$\Large \frac{5}{9}$$ B). $$\Large \frac{2}{7}$$ C). $$\Large \frac{10}{9}$$ D). $$\Large \frac{10}{7}$$
9). If $$\Large a\ast b=a+b+ab$$, then $$\Large 3\ast 4-2\ast 3$$ is equal to:
 A). 6 B). 8 C). 10 D). 12
10). If $$\Large x \circledast y = 3x+2y$$, then $$\Large 2 \circledast 3+3 \circledast 4$$ is equal to
 A). 18 B). 29 C). 32 D). 38
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