Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 78)
78.
What will be remainder when 17200 is divided by 18 ?
Answer: Option
Explanation:
When n is even. (xn - an) is completely divisibly by (x + a)
(17200 - 1200) is completely divisible by (17 + 1), i.e., 18.
(17200 - 1) is completely divisible by 18.
On dividing 17200 by 18, we get 1 as remainder.
Discussion:
27 comments Page 3 of 3.
Bharath said:
9 years ago
17^200 = (18 - 1)^200 gives (18^200) - 2 * 18 + 1 which give remainder 1 when divided by 18.
Gaurav said:
10 years ago
11/3 reminder is 2 but what is -1(11-12)? Please explain more.
Prasanna Kartik said:
1 decade ago
Hi guys,
We can solve it by negative reminders concept.
Here is our question 17^200 is divided by 18.
17/18 negative reminder is -1. So (-1) ^200=1.
Example 11/3 positive reminder as we know is 2 and the negative reminder is -1(11-12).
We can solve it by negative reminders concept.
Here is our question 17^200 is divided by 18.
17/18 negative reminder is -1. So (-1) ^200=1.
Example 11/3 positive reminder as we know is 2 and the negative reminder is -1(11-12).
Anusha said:
1 decade ago
(17*17*17*......*17) /18.
18-17 = 1.
(-1*-1*-1*.....*-1) /18.
Power is even so, 1/18.
Answer is 1 (numerator).
18-17 = 1.
(-1*-1*-1*.....*-1) /18.
Power is even so, 1/18.
Answer is 1 (numerator).
Swapnil said:
1 decade ago
How can we write 17^200-1^200 this one is not equals to 17^200.
We can write 18 as 17+1 but why we take 17^200-1.
We can write 18 as 17+1 but why we take 17^200-1.
Siddeswara Reddy said:
1 decade ago
When (X-1)^n is divided by X then R=1, If n is even natural number and if n is odd natural number then R = X-1.
Gururaj said:
1 decade ago
Simple way way is:
17 ^2 %18 =1.
(17^2)*(7^100) %18 will also be 1.
17 ^2 %18 =1.
(17^2)*(7^100) %18 will also be 1.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers