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In the following question you have to identify the correct response from the given premises stated according to the following symbols. If - stands for 'greater than', \[\times \] stands for 'addition', + stands for 'division', \[-\] stands for 'equal to'. stands for 'multiplication'. = stands for 'less than', < stands for 'minus', then which of the following alternatives is correct?

A)  \[3+2<4\div 6>3\times 2\]

B) \[3\times 2<4\div 6+3<2\]

C)  \[3>2<4-6\times 3\times 2\]

D)  \[3\times 2\times 4=6+3<2\]

Correct Answer: B

Solution :

  Option \[3+2<4\div 6>3\times 2\] After conversion \[3\div 2-4>6\times 3+2\] or. \[\frac{3}{2}-4>18+2\] or, \[-\frac{5}{2}\cancel{>}20\] Option \[3\times 2<4\div 6+3<2\] After conversion             \[3+2-4>6\div 3-2\] or, \[5-4>2-2\] or. 1 > 0 Option \[3>2<4-6\times 3\times 2\] After conversion \[3\times 2-4=6+3+2\] or, \[6~-\,4\cancel{=}11\] Option \[3\times 2\times 4\text{ = }6+3<2\] After conversion \[3+2+4<6\div 3-2\] or, \[9\cancel{<}0\]