Ratio And Proportion Ques 6
Question-
The largest and the second largest angles of a triangle are in the ratio of $4: 3$ respectively. The smallest angle is half the largest angle. What is the difference between the smallest and the largest angles of the triangle?
(1) $30^{\circ}$
(2) $60^{\circ}$
(3) $40^{\circ}$
(4) $20^{\circ}$
(5) None of these
(Allahabad Bank PO Exam. 17.04.2011)
Show Answer
Correct Answer: 3
Solution: (iii)
The smallest angle of a triangle is half of the largest angle.
$\therefore$ Ratio of three angles $=4: 3: 2$
Now,
$4 x+3 x+2 x=180$
$\Rightarrow 9 x=180 $
$\Rightarrow x=20$
$\therefore$ Required difference $=4 x-2 x=2 x=2 \times 20^{\circ}=40^{\circ}$
BETA
