Data Sufficiency Question 73
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 is sufficient to answer the question. Read both the statements. (IBPS SO (Agriculture) Exam, 29.01.2017)
Give answer (1) if the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
Give answer (2) if the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
Give answer (3) if the data in statement I alone or in statement II alone is sufficient to answer the question.
Give answer (4) if the data in both the statements I and II is not sufficient to answer the question.
Give answer (5) if the data in both the statements I and II together is necessary to answer the question.
- The side of a square is equal to the length of a rectangle. What is the area of the square? (in $m^{2}$ )
I. The difference between area of the rectangle and that of the square is $196 m^{2}$.
II. The difference between perimeter of the square and that of the rectangle is 14 metre.
Directions (74-77) : The following questions are accompanied by three statements I, II and III. You have to determine which statement(s) is/are sufficient/necessary to answer the questions.
(IBPS RRBs Officer CWE (Main Exam) 05.11.2017)
Show Answer
Correct Answer: 73. (5)
Solution: 73. (5) Let the length of rectangle be $x$ metre.
and its width be $y$ metre.
Side of square $=x$ metre.
From both statements,
$x^{2}-x y=196$
$\Rightarrow x(x-y)=196$
$4 x-2(x+y)=14$
$\Rightarrow 2 x-2 y=14 \Rightarrow 2(x-y)=14$
$\Rightarrow x-y=7$
$\therefore$ From equation (i),
$x=\frac{196}{7}=28$
$\therefore$ Required area of square
$=28 \times 28=784$ sq.m
BETA
