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Q.

Find the greatest number which divides 285 and 1249 leaving the remainder 9 and 7 respectively.


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a

135

b

136

c

137

d

138 

answer is D.

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Detailed Solution

Concept- When remainder is subtracted from dividend the resultant is divisible by the divisor. So, we must first find the divisible numbers and the HCF of the two numbers will be the answer.
A remainder 9 is obtained when 285 is divided.
Question ImageA remainder 7 is obtained when 1249 is divided.
Question ImageThe greatest number that divides 285 and 1249 with a remainder 9 and 7 will be the HCF of 276 and 1242.
Factors of 276:
Question ImageFactors of 1242:
Question ImageHCF of 276 and 1242 = Question ImageQuestion ImageHence, the correct answer is option 4.
 
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