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NIFT UG 2013 Question Paper with solutions
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© examsnet.com
Question : 22
Total: 150
Three natural numbers are in the ratio 2 : 3 : 4. If the sum of squares of these numbers is 116, then determine the numbers.
2, 3, 4
4, 6, 8
6, 9, 12
8, 12, 16
Validate
Solution:
Let numbers are 2x, 3x and 4x.
According to the question,
(
2
x
)
2
+
(
3
x
)
2
+
(
4
x
)
2
=
116
4
x
2
+
9
x
2
+
16
x
2
=
116
x
2
=
116
29
=
4
x
=
2
Hence, three numbers are & 4,6
© examsnet.com
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