Data Sufficiency Question 52
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 cost of painting four walls of the rectangular hall at the rate of Rs. 135 per sq. metre, the hall has a door measuring 3.5 metre $\times 1.5$ metre and no windows?
I. Perimeter of the floor of the hall is equal to the perimeter of a square field having side 12 metre. Length and breadth of the hall are in the ratio of $5: 1$ respectively.
II. Perimeter of the smaller wall is 15 metres
Show Answer
Correct Answer: 52. (3)
Solution: 52. (3) From statement III,
C.P. of table $=$ Rs. $x$
$510-x=2(x-345)$
$\Rightarrow 510-x=2 x-690$
$\Rightarrow 3 x=510+690=1200$ $\Rightarrow x=\frac{1200}{3}=$ Rs. 400
From statement II,
C.P. of table $=$ Rs. $x$
Marked price $=$ Rs. $\frac{140 x}{100}$
$=$ Rs. $\frac{7 x}{5}$
$\therefore x-\frac{7 x \times 70}{5 \times 100}=8$
$\Rightarrow x-\frac{49 x}{50}=8$
$\Rightarrow \frac{50 x-49 x}{50}=8$
$\Rightarrow x=8 \times 50=$ Rs. 400