Data Sufficiency Question 62
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
(Bank of Maharashtra PO Exam, 26.10.2016)
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 answer 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.
- If $A>B>C$, what is the difference between $B$ and $C$ ?
I. If the difference between $B$ and $C$ is added to $A$, a new number is formed (X). The average of $A$, $B$ and $C$ exceeds the average of $B$ and $C$ by 9 .
II. The average of $B$ and $C$ is 96 .
Show Answer
Correct Answer: 62. (4)
Solution: 62. (4) $\mathrm{A}>\mathrm{B}>\mathrm{C}$
From both statements,
$\mathrm{A}+\mathrm{B}-\mathrm{C}=x$ and $\mathrm{B}+\mathrm{C}+\mathrm{D}$
$=2 \times 96=192$
$\therefore \frac{\mathrm{A}+\mathrm{B}+\mathrm{C}}{3}-\frac{\mathrm{B}+\mathrm{C}}{2}=9$
$\Rightarrow \frac{A+192}{3}-96=9$
$\Rightarrow \frac{A+192}{3}=96+9=105$
$\Rightarrow \mathrm{A}+192=3 \times 205=615$
$\Rightarrow \mathrm{A}=315-192=123$
The value of $x$ is unknown.
BETA
