MCQ
If $8 : x :: 16 : 35$, then $x =$
- A$35$
- B$70$
- ✓$\frac{35}2$
- D$24$
✓
Answer
Correct option: C.
$\frac{35}2$
As, $8 : x :: 16 : 35$
$\Rightarrow\frac{\text{8}}{\text{x}}=\frac{16}{35}$
$\Rightarrow\text{16x}=8\times35$ $($By cross multiplication$)$
$\Rightarrow\text{x}=\frac{8\times35}{16}$ $($Transposing $16$ to $R.H.S.)$
$\therefore\text{x}=\frac{35}{2}$
Hence, the correct alternative is option $(c).$
$\Rightarrow\frac{\text{8}}{\text{x}}=\frac{16}{35}$
$\Rightarrow\text{16x}=8\times35$ $($By cross multiplication$)$
$\Rightarrow\text{x}=\frac{8\times35}{16}$ $($Transposing $16$ to $R.H.S.)$
$\therefore\text{x}=\frac{35}{2}$
Hence, the correct alternative is option $(c).$
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