Question

Multiple Choice Questions
1. The greatest number which on dividing 1659 and 2036 leaves remainders 8 and 4
respectively is
(a) 124
(b) 129
(c) 127
(d) 305
with complete explaination ​

Answer 1

Step-by-step explanation:

• Given: two numbers are 1659 and 2036
• To find: greatest number which when divided 1659 and 2036 leaves remainder 8 and 4 respectively
• Solution: subtract remainders from number ;
• 1659- 8=1651 , 2036- 4=2032
• 1651= 13 ×127 , 2032= 2×2×2×2×127
• HCF = greatest no. = 127
• Hence, greatest number is 127 .
• So answer is 127.
• Correct answer is C.

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