y varies directly as (x+3) and y=8 when x=1. What is the value of y when x=2 ? · ABC26GN3148

Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: R.R.B. 2006

$y$ varies directly as $(x+3)$ and $y=8$ when $x=1$. What is the value of $y$ when $x=2$ ?

(a)6

(b)10

(c)12

(d)16

Answer

Answer (as printed): B

Explanation

$y a(x+3) \Rightarrow y=k(x+3)$ for some constant $k$. When $y=8, x=1, y=k(x+3) \Rightarrow 8=k(1+3)$ $$\Rightarrow k=2 .$$ When $x=2, y=2(x+3)=2(2+3)=2 \times 5=10$.

Explanation as extracted from the printed page; notation may be imperfect.

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