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Average Practice Test 3
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© examsnet.com
Question : 18
Total: 40
The average of five consecutive numbers is n. If the next two numbers are also included, the average of the seven numbers will:
Increase by 2
Increase by 1
Remain the same
Increase by 1.4
Validate
Solution:
Let five consecutive numbers = x, x + 1, x + 2, x + 3 and x + 4
Average of five consecutive numbers = n
x
+
x
+
1
+
x
+
2
+
x
+
3
+
x
+
4
5
=
n
5
x
+
10
=
5
n
5
x
=
5
n
−
10
x
=
n
−
2
Now the average of seven numbers will be
=
x
+
x
+
1
+
x
+
2
+
x
+
3
+
x
+
4
+
x
+
5
+
x
+
6
7
=
7
x
+
21
7
=
7
(
n
−
2
)
+
21
7
=
7
n
−
14
+
21
7
=
7
n
+
7
7
=
n
+
1
Average of seven consecutive numbers will increase by 1.
© examsnet.com
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