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CAT Exam Model Paper 3 with solutions for free online practice
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© examsnet.com
Question : 79
Total: 100
A student appeared in the Mock CAT. The test paper contained 3 sections namely QA, DI and VA. The percentage marks in VA was equal to the average of the percentage marks in all the 3 sections. Coincidentally, if we reverse the digits of the percentage marks of QA we get the percentage marks of DI. The percentage marks in VA scored by the student could be.
48
66
69
81
Validate
Solution:
(b) Let the percentage marks in QA = (10a + b)%
Let the percentage marks in DI = (10b + a%)
Let the percentage marks in VA = x%
then
(
10
a
+
b
)
+
x
+
(
10
b
+
a
)
3
=
x
⇒ 11a + 11b + x = 3x
⇒ x =
11
2
(
a
+
b
)
Thus the percentage of the VA section is a multiple of 11.
From options, option (b) is the correct answer.
© examsnet.com
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