Latest TCS Aptitude Question SOLUTION: WHAT IS THE REMAINDER OF 3682*3684*3686 WHEN DIVIDED BY 19?

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(#M40011479) TCS Logical Reasoning question Keep an EYE

WHAT IS THE REMAINDER OF 3682*3684*3686 WHEN DIVIDED BY 19?

Asked In TCS deepak gupta (11 years ago)

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DEBANIK SANYAL  (11 years ago)

reminder=0.
3682*3684*3686/19=3682*3684*194

Is this solution Helpfull? Yes (37) | No (10)  

MD ZIAUL HAQUE  (10 years ago)

remainder=8
3682*3684*3686/19
15*17/19
255/19
8/19..
therefor 8 is the reminder

Is this solution Helpfull? Yes (1) | No (8)  

sudesna mukherjee  (8 years ago)

The remainder is 0
Simply because the remainder of 3686 when divided by 19 is 0

And the modulus functions follows basic arithmetic operations

(a+b) mod n =a mod n + b mod n
(a-b) mod n =a mod n - b mod n
(a*b) mod n =a mod n * b mod n

So, since 3686 mod 19=0
Hence 3682*3684*3686 mod 19 = 15 mod 19 * 17 mod 19 *0 mod 19
= 0 mod 19

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