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Question

# State 'T' for true and 'F' for false.(i) Every rational number can be expressed with a positive numerator.(ii) 311 cannot be represented as a non-terminating repeating decimal.(iii) If pq and rs are two terminating decimals, then pq×rs is also a terminating decimal. (iv) If pq is non-terminating repeating decimal and rs is a terminating decimal, then (pq÷rs) is a terminating decimal.

A
F , F , F , T
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B
F , T, F , T
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C
T, F, T, F
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D
T, F, F, T
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Solution

## The correct option is D T, F, T, F(i) Every number can be represented by positive integer. For example =5(−7)=−57(ii) 311 can be represented as terminating repeating decimal as 0.¯27.(iii) Let two terminating decimals by 312 and 412 then 312×412 is also terminating decimal.(iv) Let, 312 and 13 then 312⋅13=112 is a also non- terminating decimal.

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