MCQ
If $\text{x}:\text{y}=1:1,$ then $\frac{3\text{x}+4\text{y}}{5\text{x}+6\text{y}}=$
- A$\frac7{11}$
- B$\frac{17}{11}$
- C$\frac{17}{23}$
- D$\frac45$
✓
Answer
- $\frac7{11}$
Solution:
As, $\text{x}:\text{y}=1:1$
$\Rightarrow\frac{\text{x}}{\text{y}}=\frac{1}{1}$
$\Rightarrow\text{x}=\text{y}$
Now,
$\frac{\text{3x}+4\text{y}}{5\text{x}+6\text{y}}$
$=\frac{3\text{x}+4\text{x}}{5\text{x}+6\text{x}}$ (As, x = y)
$=\frac{7\text{x}}{11\text{x}}$
$=\frac{7}{11}$
Hence, the correct alternative is option (a).
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
Mark against the correct answer in the following:
If $15\%$ of $A = 20\%$ of $B$, then $A : B = ?$
→If $15\%$ of $A = 20\%$ of $B$, then $A : B = ?$
In Fig. $A B \mid C D, \angle O A B=150^{\circ}$ and $\angle O C D=120^{\circ}$. Then, $\angle A O C=$
→Which of the following has a line of symmetry?
The mean of $10, 15, 19, 30, 43, 69$ and $x$ is $x.$ Then the median is:
→Identify the polynomial from the following:
$\left[(-3)^2\right]^3$ is equal to:
→If $-\frac{3}{4}=\frac{6}{\text{x}},$ then $x =$
→Apala has $Rs. 200$ with her. She spent $80\%$ amount she had. How much money is left with her?
→→
The multiplicative inverse of $\frac{4}{-5}$ of:
→