Question

# If the given alphabets stands for various symbols as indicated belowAddition : $$O$$, Subtraction : $$M$$, Multiplication : $$A$$, Division : $$Q$$, Equal to : $$X$$, Greater than : $$Y$$, Less than : $$Z$$Then, out of the four alternatives, which one is correct?

A
1 O 1 M 1 Y 3 Q 1
B
2 Q 1 O 20 A 1 Z 6 A 4
C
3 O 2 O 10 Q 2 X 10 A 2
D
5 Q 5 A 5 O 5 Y 5 A 2

Solution

## The correct option is B $$2 \ Q \ 1 \ O \ 20 \ A \ 1 \ Z \ 6 \ A \ 4$$Addition $$: O,$$ Subtraction $$: M,$$ Multiplication $$: A,$$ Division $$: Q,$$ Equal to $$: X,$$ Greater than $$: Y,$$ Less than $$: Z$$Option $$A:$$ $$1 \ O \ 1 \ Q \ 1 \ M \ 1 \ Y \ 3 \ Q \ 1$$It can be written as:$$1+1\div1-1>3\div1$$$$\Rightarrow 1>3$$    $$\rightarrow$$ FalseOption $$B:$$$$2 \ Q \ 1 \ O \ 20 \ A \ 1 \ Z \ 6 \ A \ 4$$It can be written as:$$2\div1+20\times1<6\times4$$$$\Rightarrow 22<24$$    $$\rightarrow$$ TrueOption $$C:$$$$3 \ O \ 2 \ O \ 10 \ Q \ 2 \ X \ 10 \ A \ 2$$It can be written as:$$3+2+10\div2=10\times2$$$$\Rightarrow 10=20$$    $$\rightarrow$$ FalseOption $$D:$$$$5 \ Q \ 5 \ A \ 5 \ O \ 5 \ Y \ 5 \ A \ 2$$It can be written as:$$5\div5\times5+5>5\times2$$$$\Rightarrow 10>10$$    $$\rightarrow$$ FalseHence, option $$B.$$Logical Reasoning

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