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UPSC CDS Math Number System Questions
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© examsnet.com
Question : 5
Total: 102
Let x be the smallest positive integer such that when 14 divides x, the remainder is 7; and when 15 divides x, the remainder is 5. Which one of the following is correct ?
[2019 CDS-II]
20 < x < 30
30 < x < 40
40 < x < 50
x > 50
Validate
Solution:
A
T
Q
,
x
=
14
a
+
7
=
15
b
+
5
For smallest value of x two number a and
b
should be minimum and when
a
=
2
=
b
, then,
x
=
14
×
2
+
7
=
35
© examsnet.com
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