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Question

The difference of two numbers is 1365. On dividing the larger number by the smaller, 6 is obtained as quotient and 15 as remainder. What is the smaller number ?
Options:
A .  310
B .  330
C .  250
D .  270
Answer: Option D

Let the smaller number be x
and the bigger number be (x + 1365)
(x + 1365) ÷ x = 6, remainder = 15
=> (x + 1365) = 6x + 15
=> 5x = 1350
=> x = 1350/5 = 270
Smaller number = x = 270




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