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Q1
:
When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?
A
369
B
Data inadequate
C
349
D
339
Solution
ANS:
B
- 349
x
= 13
p
+ 11 and
x
= 17
q
+ 9
13
p
+ 11 = 17
q
+ 9
17
q
- 13
p
= 2
q
=
2 + 13
p
17
The least value of
p
for which
q
=
2 + 13
p
is a whole number is
p
= 26
17
x
= (13 x 26 + 11) = (338 + 11) = 349
Share :
13p + 11 = 17q + 9
17q - 13p = 2
q = x
