JEE Main & Advanced Mathematics Sequence & Series Question Bank Arithmetic Progression

  • question_answer
    The sum of all two digit numbers which, when divided by 4, yield unity as a remainder is

    A) 1190

    B) 1197

    C) 1210

    D) None of these

    Correct Answer: C

    Solution :

    The given numbers are 13, 17, ..... 97. This is an AP with first term 13 and common difference 4. Let the number of terms be\[n\]. Then \[97=13+(n-1)4\] \[\Rightarrow \]\[4n=88\]\[\Rightarrow \]\[n=22\] Therefore the sum of the numbers \[=\frac{22}{2}[13+97]=11(110)=1210\].


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