Question : In finding the HCF of two numbers by division method, the quotients are 1, 8 and 2 respectively, and the last divisor is 105. What is the sum of the numbers?
Option 1: 3570
Option 2: 3885
Option 3: 3780
Option 4: 3675
Correct Answer: 3780
Solution :
Last divisor = 105 and quotient = 2
Dividend (c) = 105 × 2 = 210
Now, divisor = 210, quotient = 8 and remainder = 105
So, dividend (a) = 210 × 8 + 105 = 1785
Again, divisor = 1785, quotient = 1 and remainder (c) = 210
So, dividend (b) = 1785 × 1 + 210 = 1995
Now, the sum of a and b = 1785 + 1995 = 3780
Hence, the correct answer is 3780.
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