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MBA 201920
QUESTION OF THE DAY
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Question of the Day (22Jun20)
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Rated 3.0 by 15 Users
00
:
00
A question is followed by two statements, A and B. Answer the question using the following instructions:
Mark (1) if the question can be answered by using statement A alone but not by using statement B alone.
Mark (2) if the question can be answered by using statement B alone but not by using statement A alone.
Mark (3) if the question can be answered by using either of the statements alone.
Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone.
Mark (5) if the question cannot be answered on the basis of the two statements.
^{}
Is the two digit number
XY
divisible by 7?
X
+
Y
= 7
4
X
+ 6
Y
is divisible by 7
OPTIONS
1)
1
2)
2
3)
3
4)
4
5)
5
Discuss
Get In Email
Solution
Two digit number
XY
can be written as 10
X
+
Y
.
Now 10
X
+
Y
= 7
X
+ 3
X
+
Y
Since 7
X
is divisible by 7, 10
X
+
Y
i.e. the number
XY
will be divisible by 7, if 3
X
+
Y
is divisible by 7.
From statement A alone:
Given
X
+
Y
= 7
If
X
= 7 and
Y
= 0, then the number
XY
is divisible by 7.
If
X
= 3 and
Y
= 4, then
XY
is not divisible by 7.
Hence statement A alone is not sufficient.
From statement B alone:
Given 4
X
+ 6
Y
is divisible by 7.
We know that 7
X
+ 7
Y
is divisible by 7.
i.e. 4
X
+ 3
X
+ 6
Y
+
Y
is divisible by 7.
i.e. (4
X
+ 6
Y
) + (3
X
+
Y
) is divisible by 7.
Since 4
X
+ 6
Y
is divisible by 7, we can conclude that 3
X
+
Y
is also divisible by 7.
Hence
X
Y
is divisible by 7.
So statement B alone is sufficient.
Hence, option 2.
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