If $$\frac{a}{b} = \frac{1}{2},$$ find the value of the expression $$\frac{{\left( {2a - 5b} \right)}}{{\left( {5a + 3b} \right)}}$$ = ?
A. -32
B. 11
C. $$\frac{{ - 8}}{{11}}$$
D. 17
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & \frac{a}{b} = \frac{1}{2} \cr & {\text{Let }}a = x,{\text{ }}b = 2x \cr & {\text{Then,}}\frac{{\left( {2a - 5b} \right)}}{{\left( {5a + 3b} \right)}} \cr & = \frac{{2x - 10x}}{{5x + 6x}} \cr & {\text{ = }}\frac{{ - 8x}}{{11x}} \cr & = \frac{{ - 8}}{{11}} \cr} $$Related Questions on Algebra
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$ then the value of 8 × 2 is?
A. 6
B. 10
C. 14
D. 16
A. $$1 + \frac{1}{{x + 4}}$$
B. x + 4
C. $$\frac{1}{x}$$
D. $$\frac{{x + 4}}{x}$$
A. $$\frac{{20}}{{27}}$$
B. $$\frac{{27}}{{20}}$$
C. $$\frac{6}{8}$$
D. $$\frac{8}{6}$$
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