TS ICET 2015 Question Paper with Solutions for online practice

Question : 150 of 200

Marks: +1, -0

The probability that a number chosen at jaadora from {1, 2, 3, 4, ..., 14} is a prime number Solution of the equation f(x) - 0 where : f (x) = (x - 2) (

x^2

- 9) (x - 6) (x - 8) is

$5/14$
$3/14$
$2/14$
$1/14$

Validate

Solution:

Given set : {1, 2, 3, 4 ..., 14}
⇒ Total no. of outcomes = 14
Given :

f(x)=(x–2)(x^2–9)(x–6)(x–8)

⇒f(x)=(x–2)(x+3)(x–3)(x–6)(x–8)

Its solutions are x = 2, –3, 3, 6 and 8.
But, of these solutions only 2 and 3 prime number lying in the given set.
∴ No. of favourable outcomes = 2
∴ Required probability

=2/14

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