2002 · Q45
According to a certain code * means 'greater than', + means 'less than', ÷ means 'equal to', % means 'plus'. If A * X, B ÷ Z, Y + C; then the relation between ABC and XYZ is
General Mental Ability, Quantitative Aptitude and StatisticsLogical reasoning
- AABC + XYZ
- B(ABC % XYZ) * (2XYZ)
- C(2XYZ) * (ABC % XYZ)
- D(ABC/3) + (XYZ/4)
Explanation
Decoding with * = 'greater than', + = 'less than', ÷ = 'equal to', % = 'plus': A > X, B = Z and C > Y, so (A+B+C) > (X+Y+Z). Option (B), '(ABC % XYZ) * (2XYZ)', decodes to (ABC+XYZ) > 2·XYZ, which is equivalent to ABC > XYZ — true. Option (C) asserts the reverse, (A) asserts ABC < XYZ, and (D) is unrelated arithmetic. Hence (B) is correct.