Ratio And Proportion Ques 7
Question-
The ratio between the three angles of a quadrilateral is 13:9:5 respectively. The value of the fourth angle of the quadrilateral is $36^{\circ}$. What is the difference between the largest and the second smallest angles of the quadrilateral?
(1) $104^{\circ}$
(2) $108^{\circ}$
(3) $72^{\circ}$
(4) $96^{\circ}$
(5) None of these
(Allahabad Bank PO Exam. 17.04.2011)
Show Answer
Correct Answer: (4)
Solution: (4)
Let the three angles of quadrilateral be $13 x^{\circ}, 9 x^{\circ}$ and $5 x^{\circ}$ respectively.
$\therefore 13 x+9 x+5 x=360-36$
$\Rightarrow 27 x=324 $
$\Rightarrow x=\frac{324}{27}=12$
$\therefore$ Required difference $=13 x-5 x=8 x=8 \times 12=96^{\circ}$
BETA
