If p is a positive fraction less than 1, then
A. $$\frac{1}{p}$$ is less than 1
B. $$\frac{1}{p}$$ is a positive integers
C. p2 is less than p
D. $$\frac{2}{p}$$ - p is a positive number
Answer: Option D
Solution(By Examveda Team)
p < 1⇒ $$\frac{1}{p}$$ > 1
⇒ $$\frac{2}{p}$$ > 2
⇒ $$\frac{2}{p}$$ - p > 2 - p > 0 [∵ p < 1]
Hence, $$\left( {\frac{2}{p} - p} \right)$$ is a positive number
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Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
but option b and c can also be correct