Let A $=$ {x | x is prime number and x < 30 }. The number of different rational numbers whose numerator and denominator belong to A is

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180

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270

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Solution

The correct option is A 90
$A = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29$

$∴$ No. of rational numbers of the form p/q whose numerator and denominator belong to A is

$=^{10} C_{2} .2! = 90$

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