Data Sufficiency Question 20
Directions: Each of the following questions consists of a question followed by three statements I, II and III. You have to study the question and the statements and decide which of the statement (s) is/are necessary to answer the question.
(IBPS Bank PO/MT
CWE-III 26.10.2013
- What is the area of the given right angled triangle?
I. The length of the hypotenuse is $5\ \text{cm}$. II. The perimeter of a triangle is four times its base.
III. One of the angles of triangle is $60^{\circ}$
(1) Only II
(2) Only III
(3) Either II or III
(4) Both I and II
(5) Question cannot be answer even with the information in all three statements
Show Answer
Correct Answer: 20. (4)
Solution: 20. (4) From statements I and II,
$ \frac{\mathrm{AB}}{\mathrm{AC}}=\cos 60^{\circ} \Rightarrow \mathrm{BC}=\frac{5}{2} $
$a=\frac{5}{2}, b=5$ and $\theta=60^{\circ}$
$\therefore$ We get area by $\mathrm{A}=\frac{1}{2} a b \sin \mathrm{C}$
BETA
