A number when divided by 91 gives the remainder as 51. What will be remainder when this number is divided by 13?
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Given : A number when divided by 91 gives the remainder as 51.
To Find : remainder when this number is divided by 13?
Solution:
A number when divided by 91 gives the remainder as 51.
Hence number is 91a + 51
= 91a + 39 + 12
= 7 * 13a + 3 * 13 + 12
= 13(7a + 3) + 12
= 13k + 12
Hence when number is divided by 13 the remainder is 12
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