Question : What is the value of X?
$X=\frac{7}{5}+\left\{\frac{1}{5}-\frac{1}{3}\right\} \times \frac{5}{2}$
Option 1: $\frac{16}{15}$
Option 2: $\frac{17}{15}$
Option 3: $\frac{15}{16}$
Option 4: $\frac{19}{15}$
Correct Answer: $\frac{16}{15}$
Solution :
$X=\frac{7}{5}+\left\{\frac{1}{5}-\frac{1}{3}\right\} \times \frac{5}{2}$
⇒ $X=\frac{7}{5}+\frac{-2}{15}\times \frac{5}{2}$
⇒ $X=\frac{7}{5}+\frac{-2}{15}\times \frac{5}{2}$
⇒ $X= \frac{7}{5} - \frac{1}{3}$
⇒ $X= \frac{21}{15} - \frac{5}{15}$
⇒ $X= \frac{16}{15}$
Hence, the correct answer is $\frac{16}{15}$.
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