| Statement-1: P = {x : x is prime number; x < 30} then number of distinct rational numbers whose numeration & denominator belongs to A is 93. |
| Statement-2: \[\frac{p}{q}\in Q\forall q\ne 0\]and\[p,q\in I\] |
A) Statement -1 is true, statement -2 is true and Statement-2 is correct explanation for statement -1.
B) Statement -1 is true, statement -2 is true and Statement-2 is NOT correct explanation for statement -1.
C) Statement-1 is true, Statement-2 is false
D) Statement-1 is false, statement -2 is true
Correct Answer: D
Solution :
A = { 2,3,5,7,11,13,17,19,23,29 } Two different numbers for numerator & denominator can be chosen in \[^{\text{10}}{{\text{P}}_{\text{2}}}\]ways + 90 ways. Also if p = q then 1 way \[\therefore \]total ways =91
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