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The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number ?


Options:
A .   240
B .   270
C .   295
D .   360
Answer: Option B
:
B

Let the smaller number be x.
 Larger number = x+1365
By Euclid's division lemma, the larger number can also be written as 6x+15.
x+1365=6x+15
5x=1350
x=270
The smaller number is 270 and the larger number is 270 + 1365 = 1635.



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