Compare the following and put the correct sign. i. (32)3□323 ii.(84)12□24 iii. (31/3)9□(811/4)2
A
> < +
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B
< = >
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C
= < >
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D
< > >
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Solution
The correct option is C < > > (i) (32)3=(3)6,323=(3)8 ∵36<38⇒(32)3<323 (ii) (84)12=82=64,24=16 ∵64>16⇒(84)12>24 (iii) (313)9=33=27,(8114)2=(81)12=9 ∵27>9⇒(313)9>(8114)2