Home
Class 12
MATHS
Statement-1: 11^25 + 12^25 when divided ...

Statement-1: `11^25 + 12^25` when divided by 23 leaves the remainder zero.
Statement-2: `a^n + b^n` is divisible by `(a + b)` for all values of natural number `n`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|22 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Binomial Theorem Exerciese 7: Subjective Type Questions|5 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Binomial Theorem Exerciese 5: Matching Type Questions|5 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|23 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

Similar Questions

Explore conceptually related problems

Use the principle of mathematical induction to show that a^(n) - b^n) is divisble by a-b for all natural numbers n.

Statement-1 4^(101) when divided by 101 leaves the remainder4. Statement-2 (n^(p) -n) when divided by 'p' leaves remainder zero when n ge 2, n in N is a prime number .

If the number N when divided by 6 leaves a remainder 3, what might be the ones digit of N?

Prove using mathematical induction:- n(n+1)(n+5) is divisible by 6 for all natural numbers

Show that ^nP_n= "^nP_(n-1) for all natural numbers n .

If the division N -:2 leaves a remainder of 1,what might be the one's digit of N ?

If the division N -:2 leaves a remainder of 1,what might be the one's digit of N ?

Prove, by Mathematical Induction, that for all n in N, 3^(2n)-1 is divisible by 8.

If the division N -: 5 leaves a remainder of 1,what might be the ones digit of N?

Prove that (25)^(n+1)-24n+5735 is divisible by (24)^2 for all n=1,2,...