Home
Class 12
MATHS
Total number of two digit number n What ...

Total number of two digit number n What is the value of n such that `(3^n+7^n)` is divisible by 10

Text Solution

Verified by Experts

The correct Answer is:
45
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION A)|60 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION B)|30 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - A)|20 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

The total number of two digit numbers ' n ,such that 3^(n)+7^(n) is a multiple of 10 ,is

What is the smallest natural number n such that n! is divisible by 990

Knowledge Check

  • What is the smallest natural number n such that n! is divisible by 990?

    A
    9
    B
    11
    C
    33
    D
    99

  • If n in N , then 3^(2n)+7 is divisible by

    A
    3
    B
    8
    C
    9
    D
    11

  • For what least value of 'n, a natural number (24)^(n) is divisible by 8 ?

    A
    0
    B
    `-1`
    C
    1
    D
    no value of n is possible

    • Similar Questions

    Explore conceptually related problems

    Find the number of ordered pairs (m,n)epsilon {1,2,…..20} such that 3^(m)+7^(n) is divisible by 10.

    For what least value of n where n is a natural number 5^n is divisible by 3?

    The number of ordered pairs (m,n),m,n in{1,2,...,100} such that 7^(m)+7^(n) is divisible by 5 is

    The number of ordered pairs (m, n), m, n in {1, 2, …, 100} such that 7^(m)+7^(n) is divisible by 5 is

    If M is even prime number,N is least prime number of two digits & P is greatest prime number of two digits, then (P+N)/(M) is dividible by-

    Home
    Profile