question_answer

If \[>\] denotes \[+\], \[<\] denotes\[\], \[+\] denotes\[\div \],\[\hat{\ }\]denotes\[\times \], \[-\]denotes =, \[\times \]denotes \[>\] and \[=\]denotes\[<\], choose the correct statement of the following:

A) \[13>7<6+2=3\hat{\ }4\]

B) \[9>5>4-18+9>16\]  

C)  \[9<3<2>1\times 8\hat{\ }2\]

D)  \[28+4\hat{\ }2=6\hat{\ }4+2\]

Correct Answer: B

Solution :

Option (1)             \[13>7<6+2=3\hat{\ }4\] \[\Rightarrow \]   \[13+7-6\div 2<3\times 4\] \[\Rightarrow \]   \[13+7-3<12\] \[\Rightarrow \]   \[20-312\] Option (2)             \[9>5>4-18+9>16\] \[\Rightarrow \]   \[9+5+4-18+9>16\] \[\Rightarrow \]   \[9-3-2+1>8\times 2\] Option (3)             \[9<3<2>1\times 8\hat{\ }2\] \[\Rightarrow \]   \[28\div 4\times 2<6\times 4\div 2\] \[\Rightarrow \]   \[7\times 26\times 2\] Option (4)             \[28+4\hat{\ }2=6\hat{\ }4+2\] \[\Rightarrow \]   \[28\div 4\times 2<6\times 4\div 2\] \[\Rightarrow \]   \[7\times 26\times 2\]