Logo
    Logo

    Subject

    Quantitative Aptitude

    Topic

    Number

    Find the remainder when 123321is divided by 5.

    ক)
    2
    খ)
    1
    গ)
    5
    ঘ)
    3
    ঙ)
    None of these

    Explanation

    The remainder when 123 is divided by 5 is 3. ⇒ So, The remainder when 123 321 is divided by 5 would be same as when 3 321 is divided by 5. Now, the remainder when 3 1 is divided by 5 = 3, ⇒ The remainder when 3 2 is divided by 5 = 4, ⇒ The remainder when 3 3 is divided by 5 = 2, ⇒ The remainder when 3 4 is divided by 5 = 1, ⇒ The remainder when 3 5 is divided by 5 = 3, So, the cycle period is 4, since at 3 4 we get the remainder 1 (after which the cycle starts repeating) Thus, the remainder when 3 321 is divided by is 3 since get the remainder 1 when 321 is divided by 4 (the cycle period). Or Remainder in 1233215=Remainder in 33215=Remander in 3320×315Remainder\ in\ {{{{123}^{321}}} \over 5} = Remainder\ in\ {{{3^{321}}} \over 5} = Remander\ in\ {{{3^{320}} \times {3^1}} \over 5} =Remainder in (34)80×315=Remainder in 315= Remainder\ in\ {{{{\left( {{3^4}} \right)}^{80}} \times {3^1}} \over 5} = Remainder\ in\ {{{3^1}} \over 5} = Remainder is 3.

    Related questions

    On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:A number is as much greater than 36 as the less than Find the number.If one-third of one-fourth of a number is 15, then three-tenth of that number is:If the number 5 * 2 is divisible by 6, then * =?কাজের দিন ২ টাকা পাওনা এবং অনুপস্থিতির দিন ৫০ পয়সা জরিমানা এই শর্তে সেপ্টেম্বর মাসে ৪০ টাকা পেল। সে কত দিন কাজে উপস্থিত ছিল?476 ** 0 is divisible by both 3 and The non-zero digits in the hundred's and ten's places are respectively:The sum of two numbers is 25 and their difference is Find their product.

    Find Tutors

    View all Tutors