Data Sufficiency Question 51
Directions : Each of the questions given below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements sufficient to answer the question. Read both the statements and
Give answer (1) if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
Give answer (2) if the data in statement II alone are sufficient to an- swer the question, while the data in statement I alone are not sufficient to answer the question.
Give answer (3) if the data in statement I alone or in statement II alone are sufficient to answer the question.
Give answer (4) if the data in both the statements I and II are not sufficient to answer the question.
Give answer (5) if the data in both the statements I and II together are necessary to answer the question.
SBI PO (Prelim Exam), 08.07.2018
- What is the area of the square?
I. Area of the largest circle that can be inscribed in the given square is $616 cm^{2}$.
II. Area of the smallest circle in which the given square can be inscribed is $1232 , cm^{2}$.
Show Answer
Correct Answer: 51. (5)
Solution: 51. (5) From statement I,
Interest $=$ Rs. 545
S.I. $=\frac{\text { Principal } \times \text { Time } \times \text { Rate }}{100}$
$\Rightarrow 545=\frac{\mathrm{P} \times 2 \times \mathrm{R}}{100}$
$\Rightarrow \mathrm{PR}=$ Rs. $(545 \times 50)$
From both statements,
Difference $=\frac{\mathrm{PR}^{2}}{10000}$
$\Rightarrow 64.8=\frac{545 \times 50 \times \mathrm{R}}{10000}$
$\Rightarrow \mathrm{R}=\frac{64.8 \times 10000}{545 \times 50}$
$=23.8 %$ per annum
BETA
