AP ICET 2017 Shift 2 Paper

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Question : 89 of 200

Marks: +1, -0

For a rational number r. if we add 3 to its denominator it is

1/3

and if we add 4 to its numerator it is

3/4

.Then

r=

$3/7$
$4/9$
$5/12$
$7/15$

Solution:

Let

r=p/q

p/{q+3}=1/3⇒3p-q=3

....(i)

{p+4}/q=3/4⇒4p-3q=-16

....(ii)
3 × (i) – (ii) gives,

5p=9+16=25⇒p=5

Substituting in (i) :

q=3p–3=12

∴r=5/12

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