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UPSC Civil Services 2019 Prelims General Studies Paper II
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© examsnet.com
Question : 2
Total: 80
Sunita cuts a sheet of paper into three pieces. Length of first piece is equal to the average of the three single digit odd prime numbers. Length of the second piece is equal to that of the first plus one-third the length of the third. The third piece is as long as the other two pieces together. The length of the original sheet of paper is
13 units
15 units
16 units
30 units
Validate
Solution:
Let first Piece, second Pieec and third Piece are x, y and z respectively.
Now
3
+
5
+
7
3
=
5
∴
x
=
5
According to question,
y
=
x
+
z
3
⇒
y
=
5
+
z
3
and
z
=
x
+
y
⇒
z
=
5
+
5
+
z
3
⇒
z
−
z
3
=
10
⇒
3
z
−
z
3
=
10
∴
z
=
10
×
3
2
=
15
∴
y
=
5
+
z
3
⇒
y
=
5
+
15
3
=
10
∴
The length of the original sheet
=
x
+
y
+
z
= 5 + 10 + 15
= 30 units
© examsnet.com
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