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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-3

  • question_answer
    A number consists of two digits. The sum of the digits is 10. On reversing the digits of the number, the number decreases by 36. What is the product of the two digits?

    A) 21                    

    B) 24

    C) 36                    

    D) 42

    Correct Answer: A

    Solution :

    Let the unit digit of the number be x and tens digit be y. Number \[=10y+x\] According to the question, \[x+y=10\]                                ... (i) and \[10x+y=(10y+x)-36\] \[\Rightarrow \]   \[~10x+y-10y-x=-36\] \[\Rightarrow \]   \[9x-9y=-36\]\[\Rightarrow \]\[xy=-4\]       ... (ii) Now, on solving equation (i) and (ii), we get \[x=3\] and \[y=7\] \[\therefore \]      Required product of two digits \[=3\times 7=21\]


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