$ 72\div16\:\text{of}\:3 – [28\div 6\:\text{of}\: 4 – 20\div 7 \times (23 -37) – 41] \times (1\frac{1}{2}) $ का मान ज्ञात कीजिए| 

Option:
a) $ \frac{3}{2} $
b) $ \frac{5}{9} $
c) $ \frac{5}{4} $
d) $ \frac{5}{8} $

Solution:

$ 72\div16\: \text{of}\:3 – \big[28 \div 4\:\text{of}\: 6 – 20\div 7 \times (23-37)-41\big] \times\frac{3}{2} $
$ 72\div16\: \text{of}\:3 – \big[28 \div 24 – 20\div 7 \times (-14)-41\big] \times\frac{3}{2} $
$ 72\div16\: \text{of}\:3 – \big[\frac{28}{24} – \frac{20}{7}\times (-14)-41\big] \times\frac{3}{2} $
$ 72\div16\: \text{of}\:3 – \big[\frac{7}{6}+40 -41\big] \times\frac{3}{2} $
$ 72\div16\: \text{of}\:3 – \big[\frac{7}{6} -1\big] \times\frac{3}{2} $
$ 72\div16\: \text{of}\:3 – \frac{1}{6}\times\frac{3}{2} $
$ 72\div48 – \frac{1}{6} \times\frac{3}{2} $
$ \frac{72}{48} – \frac{1}{4} $
$ \frac{3}{2} – \frac{1}{4} $
$ \frac{6-1}{4} =\frac{5}{4} $

Ans : c) $ \frac{5}{4} $