Banking Sample Paper RRB Assistant (PT) Sample Test Paper-1

  • question_answer The HCF of two numbers is \[\frac{1}{5}\] of their LCM. If the product of two numbers is 845 then what is the HCF?

    A)  12

    B)  13

    C)  15

    D)  19

    E)  14

    Correct Answer: B

    Solution :

    HCF\[\text{=}\frac{1}{5}\text{LCM}\] \[\therefore \] LCM = 5 HCF Product of two numbers = 845 Now, \[\text{HCF}\times \text{LCM =}\] Product of two numbers \[\text{HCF }\!\!\times\!\!\text{ 5HCF=845}\] \[\Rightarrow \]\[\text{5(HCF}{{\text{)}}^{\text{2}}}\text{=845}\] \[\Rightarrow \]\[{{\text{(HCF)}}^{\text{2}}}\text{=169}\] \[\therefore \]\[\text{HCF=13}\]

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