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NIFT PG 2020 Question Paper with solutions
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© examsnet.com
Question : 27
Total: 150
The average age of 30 students of a class is 14 yr 4 months. After admission of 5 new students in the class the average becomes 13 yr 9 months. The youngest one of the five new students is 9 yr 11 months old. The average age of the remaining 4 new students is
13 yr 6 months
12 yr 4 months
10 yr 4 months
11 yr 4 months
Validate
Solution:
Let the average age of 4 new students be
a
.
∴
30
(
14
1
3
)
+
9
11
12
+
4
a
=
35
(
13
3
4
)
⇒
30
×
43
3
+
119
12
+
4
a
=
35
×
55
4
⇒
430
+
119
12
+
4
a
=
1925
4
⇒
4
a
=
1925
4
−
119
12
−
430
⇒
4
a
=
5775
−
119
−
5160
12
⇒
4
a
=
496
12
⇒
a
=
496
48
=
31
3
=
10
1
3
Hence, average age
=
a
=
10
yr 4 months
© examsnet.com
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