Multiple choice

The HCF and LCM of two numbers are 17 and 595 respectively. If one of the numbers lies between 75 and 125, then the second number will be:

  1. 85

  2. 102

  3. 136

  4. 95
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A Correct answer
Explanation

Given HCF=17 and LCM=595, the two numbers can be expressed as 17×coprime factors of (595/17)=35. The coprime pairs for 35 are (1,35) and (5,7), giving number pairs (17,595) and (85,119). Since one number must lie between 75-125, the valid pair is (85,119), where 85 is the second number.

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