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UPSC CDS I 2019 Math Paper
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© examsnet.com
Question : 14
Total: 100
The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is
[2019 CDS-I]
17
29
43
None of the above
Validate
Solution:
Let the three numbers be a, a + 36 and b
a
+
a
+
36
+
b
=
100
⇒
2
a
+
b
=
64
…
.
.
(
1
)
The only possible value for b is 2 as any other prime value of b will give fractional value of a.
Thus, putting
b
=
2
in (1), we get:
2
a
=
62
⇒
a
=
31
Thus, the numbers are 31, 67 and 2.
© examsnet.com
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