Data Sufficiency Question 23
Directions : In each of the following questions, a question and three statements following it have been given. You are required to study the question and statements and decide that the information given in which statement(s) is necessary to answer the question?
(Corporation Bank Specialist Officer (Marketing) Exam 22.02.2014)
- What are the marks obtained by Arnab in History?
I. The average marks obtained by Arnab in History, Geography and Civics are 65.
II. Marks obtained by Arnab in Geography is 6 more than that obtained in History.
III. Marks obtained in Geography is as much more than that in Civics as the marks obtained in Civics is more than that in History.
(1) I and II (2) II and III
(3) I and III (4) I, II and III
(5) None of these
Show Answer
Correct Answer: 23. (4)
Solution:
- (4) From statement I,
$\mathrm{H}+\mathrm{G}+\mathrm{C}=65 \times 3=195 \ldots$…(i)
From statement II,
$\mathrm{G}=\mathrm{H}+6$
From statement III,
$\mathrm{G}-\mathrm{C}=\mathrm{C}-\mathrm{H}$
$\Rightarrow 2 \mathrm{C}=\mathrm{G}+\mathrm{H}$
$\Rightarrow 2 \mathrm{C}=\mathrm{H}+6+\mathrm{H}=2 \mathrm{H}+6$
$\Rightarrow \mathrm{C}=\mathrm{H}+3$
$\therefore \mathrm{H}+\mathrm{G}+\mathrm{C}=195$
$\Rightarrow \mathrm{H}+\mathrm{H}+6+\mathrm{H}+3=195$
$\Rightarrow 3 \mathrm{H}=195-9=186$
$\Rightarrow \mathrm{H}=\frac{186}{3}=62$
BETA
