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UPSC Civil Services 2014 Prelims General Studies Paper II
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© examsnet.com
Question : 39
Total: 80
A straight line segment is 36 cm long. Points are to be marked on the line from both the end points. From each end, the first point is at a distance of 1cm from the end, the second point is at a distance of 2 cm from the first point and the third point is at a distance of 3 cm from the second point and so on. If the points on the ends are not counted and the common points are counted as one, what is the number of points ?
10
12
14
16
Validate
Solution:
∴
1
+
2
+
3
+
.
.
.
.
.
.
n
=
36
n
(
n
+
1
)
2
=
36
n
(
n
+
1
)
=
72
⇒
n
=
8
∴ Leaving the end points the no. of points starting from A is 7.
Similarly starting from B, the no. of points will be 7.
And also no. of the points between A & B will coincide.
∴ Total no. of points = 7 + 7 = 14
© examsnet.com
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