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Question

If 2m×12m=14, then 114(4m)12+(15m)1, is equal to

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Solution

2m×12m=14
2m2m=122
12m+m=122
122m=122
On comparing both the sides , we get
2m=2
m=1
114(4m)12+(15m)1

=114(41)12+(151)1 m=1
=114(22)12+5
=114[2+5]
=114(7)
=12

Hence, option (a) is correct.

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