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CDS Model Paper 3 Mathematics
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© examsnet.com
Question : 5
Total: 100
The students present in an auditorium are asked to stand in rows. If there were 4 students extra in a row there would be 4 less rows. However, if 2 students were less in a row, there would be 4 more rows. The number of students present in the auditorium is
80
96
100
128
Validate
Solution:
Let there are
r
rows and
x
students in each row.
According to question
(
x
+
4
)
(
r
−
4
)
=
x
×
r
⇒
−
4
x
+
4
r
=
16
...(i)
(
x
−
2
)
×
(
r
+
4
)
=
x
×
r
⇒
4
x
−
2
r
=
8
...(ii)
Adding equations (i) and (ii), we get
2
r
=
24
⇒
r
=
12
∴
4
x
−
24
=
8
x
=
8
∴ Total number of students
=
8
×
12
=
96
© examsnet.com
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