SSC CGL 2022 PYQ — Question 69

The correct answer is option 4 i.e.  -1$\frac{5}{14}$ 

Solution :

Simplifying the mixed fractions : 

Numerator = ${7\over2} + {16\over 3} ÷{ 4\over 3} × {21\over 4} - {11\over 2}$

Applying BODMAS and solving, Numerator = 19

Denominator = ${3\over 2} × {5\over 3} -{13\over 2}$

By solving, denominator = $-8\over2$ = -4

Now applying the expression above, 

${19\over (-4)} ÷ 7 × 2 = ({-19\over 4}) = -$$1\frac{5}{14}$ .

Hence the value of $\frac{3\frac{1}{2}+5\frac{1}{3}\div1\frac{1}{3}\times5\frac{1}{4}-5\frac{1}{2}}{1\frac{1}{2}\times 1\frac{2}{3}-6\frac{1}{2}}\div7\times 2$ is -$1\frac{5}{14}$ .