what will be the remainder when `5^97` is divided by `52` – InterviewSolution

InterviewSolution

1.	what will be the remainder when `5^97` is divided by `52`
Answer» `5^(97) = 5^965 = (5^4)^245 = (625)^245` `:. 5^97/52 = ((625)^245)/52` If we divide, `625` by `52`, then remainder is `1`. `:.` Remainder when `(625)^245` is divided by `52 = 1^245 = 5`

Discussion

No Comment Found

Related InterviewSolutions

Decide whether the number `0.120120012000012….` Is rational or not. Give reason to support your answer.
Show that each of the following numbers is rational. What can you say about the prime factors of their denominators ? (i) 23.123456789 (ii) 32. `overline(123456789)`
In a school there are two sections, namely A and B, of class X. there are `30` students in section A and `28` students in section B. find the minimum number of books required for their class library so that they can be distributed equally among students of section A ore section B.
The mode of the following frequency distribution is 46 and the total frequency is 150. Find the missing frequencies x and y.
Prove that `sqrt(11)` is irrational.
Prove that `sqrt(5)` is irrational.
In the given figure, ABCD is a cyclic quadrilateral; O is the centre of the circle.If `/_BOD=160^@`, then find `/_BPD`.
The product of two consecutive integers is divisible by 2. Is this statement true or false. Give Reason?
A girl is twice as old as her sister. four years hence , the product of their ages (in years) will be 160 . Find their present ages?
Prove that one of every three consecutive positive integers isdivisible by 3.