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SSC Sample Paper SSC CGL - Sample Paper-26

  • question_answer
    LCM of two numbers is 16 times their HCF, The sum of LCM and HCF is 850. If one number is 50, then what is the other number?

    A) 800                  

    B) 1200

    C) 1600                            

    D) 2400

    Correct Answer: A

    Solution :

    Let first number \[=a,\] second number \[=b\] \[\therefore \] \[\text{LCM }\times \text{ HCF=}\] Product of numbers \[=a\times b\] Also, \[\text{LCM}\,\,\text{=}\,\,\text{16 HCF,}\] \[\text{LCM+ HCF= 850}\] and \[a=50\] \[\therefore \]      \[\text{17}\,\text{HCF}\,\,\text{=}\,\,\text{850}\] \[\Rightarrow \]   \[\text{HCF}\,\,\text{=}\,\,\text{50}\] Now,     \[\text{LCM =16}\times \text{50=800}\] \[\therefore \]      \[800\times 50=50\times b\]             \[b=800\]         


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