The remainder left out when 8^2n – (62)^2n +1 is divided by 9 is

Monjur Alahi

The remainder left out when 82n – (62)2n +1 is divided by 9 is

(a) 2 

(b) 7

(c) 8 

(d) 0


0 like 0 dislike
1 views
Share with your friends

1 Answers

Salim Ahmed Kawsar

Call

(a) : Ist Solution : Using Modulo Arithmetic
8 = –1 (modulo 9) Also 62 = –1 (modulo 9)
⇒ 82n – (62)2n + 1 = [(–1)2n – (–1)2n + 1]mod 9
= (1 + 1)mod 9 = 2 mod 9 ⇒ Remainder = 2

0 like 0 dislike
1 views
Talk Doctor Online in Bissoy App
An organic compound contains 69percent carbon and 4.8percent hydrogen, the remainder being oxygen.

Percentage of carbon in organic compound = 69 %  That is, 100 g of organic compound contains 69 g of carbon.  0.2 g of organic compound will contain =(69X0.2)100=0.138G OF c Molecular mass...

1 Answers 1 views
After a deduction of 5% from a certain sum and 10% from the remainder, a sum of Rs 171 is left. The original sum was- ( The options are given below)

Please explain it.

1 Answers 1 views
After a deduction of 5% from a certain sum and 10% from the remainder, a sum of Rs 171 is left. The original sum was- ( The options are given below) 1 Answers 1 views
After a deduction of 5% from a certain sum and 10% from the remainder, a sum of Rs 171 is left. The original sum was- ( The options are given below) 1 Answers 1 views
I have 7 candles lit, 2 blew out, how many candles do I have left?

The answer of this riddle is 7. Explanation :- There are 7 candles lit and if I blew out 2 of them , I still have 7 Candles 5 lit and 2...

1 Answers 1 views
I have 7 candles lit, 2 blew out, how many candles do I have left? 1 Answers 1 views
A number N when divided by 14 gives the remainder 5. What is the remainder when the same number is divided by 7?

5, because 14 is multiple of 7. Therefore, remainder in both cases are same.

1 Answers 2 views
Find the remainder when x^51 + 51 is divided by x+ 1.

Let P(x) = x51 + 51 be the given polynomial If (x + 1) is a factor of P(x) => P(-1) = 0 but P(-1) = (-1)51 + 51 = -1 +...

1 Answers 1 views
The polynomials ax^3 + 3x^2 - 13 and 2x^3 - 5x + a are divided by x + 2 if the remainder in each case is the same, find the value of a.

p(x) = ax3 + 3x2 - 13 and q(x) = 2x3 - 5x + a  when p(x) & q(x) are divided by x + 2 = 0 ⇒ x = -2  p...

1 Answers 1 views
Which letter will be midway between 8^th letter from the left and 16^th letter from the left in the English alphabet?

Here, m = 8 and n = 16 then middle letter = (8+16)/2 =24/2 = 12th letter from left in the alphabet  = L

1 Answers 1 views
X