Find the remainder when 5^(99) is divide...

Find the remainder when `5^(99)` is divided by 13.

A

6

B

8

C

9

D

10

Text Solution

Verified by Experts

The correct Answer is:

B

Topper's Solved these Questions

BINOMIAL THEOREM AND ITS APPLCIATIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos
BINOMIAL THEOREM AND ITS APPLCIATIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Assertion Reason Type|13 Videos
CARTESIAN CO-ORDINATE SYSTEM
OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|27 Videos

Similar Questions

Explore conceptually related problems

Find the remainder when 25^(15) is divided by 13.

Find the remainder when 7^(98) is divided by 5.

Find the remainder when 27^(40) is divided by 12.

Find the remainder when 7^(103) is divided by 25.

Find the remainder when 2^(2013) in divided by 17.

Find the remainder when 51439786 is divided by 3. Do this without performing actual division.

Without actual division find the remainder when 379843 is divided by 3.

Without performing actual division, find the remainder when 28735429 is divided by 11.

Find the remainder when 32^(32^32) is divided by 7

The polynomial p(x)=x^(4)-2x^(3)-ax+3a-7 when divided by x+1 leaves remainder 19. Also, find the remainder when p(x) is divided by x+2.

OBJECTIVE RD SHARMA ENGLISH-BINOMIAL THEOREM AND ITS APPLCIATIONS -Exercise

The interval in which x must lie so that the numerically greatest t...
Text Solution
|
If the coefficients of rth, (r + 1)th and (r + 2)th terms in the expan...
Text Solution
|
Find the remainder when 5^(99) is divided by 13.
Text Solution
|
If Co C1, C2,.......,Cn denote the binomial coefficients in the expans...
Text Solution
|
If C(0), C(1), C(2), ..., C(n) denote the binomial cefficients in t...
Text Solution
|
Let (1 + x)^(n) = sum(r=0)^(n) C(r) x^(r) and , (C(1))/(C(0)) + 2 (...
Text Solution
|
Find the sum 3 .^(n)C(0) - 8 .^(n)C(1) + 13 .^(n)C(2) - 18 xx .^(n)C(...
Text Solution
|
If (1 + x)^(n) = C(0) + C(1)x + C(2) x^(2) + …+ C(n) x^(n), then for n...
Text Solution
|
If (1+x)^(n) = C(0) + C(1) xm + C(2)x^(2) + "……" + C(n)x^(n), then ...
Text Solution
|
Find the sum 2C0+(2^3)/2C1+(2^3)/3C2+(2^4)/4C3++(2^(11))/(11)C(10)dot
Text Solution
|
Prove that ""^(m+n)C(r) = ""^(m)C(r) + ""^(m)C(r-1) + ""^(n)C(1) +...
Text Solution
|
Find the value of 1/(81^n)-(10)/(81^n)^(2n)C1+(10^2)/(81^n)^(2n)C2-(10...
Text Solution
|
The term independent of x in the expansion of (x-1/x)^(4) (x+1/x)^(3) ...
Text Solution
|
if the coefficients of x^(5)" and "x^(15) in the expansion of (x^(2)+(...
Text Solution
|
If n is a positive integer and C(k)=""^(n)C(k), then the value of sum(...
Text Solution
|
Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...
Text Solution
|
about to only mathematics
Text Solution
|
The coefficient of x^(n) in the expansion of (1)/((1-x)(3 -x)), is
Text Solution
|
The coefficient of x^(n) in the expansion of ((1+x)^(2))/((1 - x)^(3))...
Text Solution
|
If (r+1)t h term is the first negative term in the expansion of (1+x)^...
Text Solution
|