CTET 2 Math and Science Jan 2012 Paper

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Question : 51 of 120

Marks: +1, -0

If

A=\;\;{3}/{4}÷\;\;{5}/{6},B=3÷[(4÷5)÷6],C=[3÷(4÷5)]÷6

and

D=3÷4(5÷6)

then

All are equal
A and B are equal
A and C are equal
A and D are equal

Solution:

A=\;\;{3/4}÷{5/6}=\;\;{3}/{4}×\;\;{6}/{5}=\;\;{9}/{10}

B=3÷[(4÷5)÷6]

=3÷(\;\;{4}/{5}×\;\;{1}/{6})=3×\;\;{30}/{4}=\;\;{45}/{2}

C=[3÷(4÷5)]÷6

=[3÷\;\;{4}/{5}]÷6=[3×\;\;{5}/{4}]÷6=\;\;{15}/{4}×\;\;{1}/{6}=\;\;{5}/{8}

{D}=3÷4(5÷6)

=3÷\;\;{4×5}/{6}=3×\;\;{6}/{4×5}=\;\;{9}/{10}

A and D are equal

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