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Question

If 0.1¯¯¯¯¯¯34=pq where p and q are integers and q0, then pq= ___


A

134999

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B

134990

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C

133999

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D

133990

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Solution

The correct option is D

133990


Let x=0.1¯¯¯¯¯¯34=0.13434... ....(i)

Multiplying by 10 on both sides, we get 10x=1.343434... ---- (ii)

Multiplying by 1000 on both sides of (i), we get 1000x=134.343434.... ---- (iii)

Subtracting (ii) from (iii), we get

990x=133

x=133990


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