Latest TCS Aptitude Question SOLUTION: What is the reminder when 6 ^ 17 + 17 ^ 6 is divided by 7?

• Placement Papers
• /
• TCS
• /
• Numerical Ability
• /
• Number System

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40038883) TCS Numerical Ability question Keep an EYE

What is the reminder when 6 ^ 17 + 17 ^ 6 is divided by 7?

Asked In TCS RIYAM TAHER (9 years ago)

Unsolved Read Solution (10)

Is this Puzzle helpful?   (1)   (0) Submit Your Solution Number System

Read Solution (10) :

RAKESH  (9 years ago)

6 ^ 17 / 7 => (7-1)^7 / 7 => (-1)^7 => rem = -1

17^6 / 7 => (2*7+3)^6 / 7 => 3^6 / 7 => 27*27 / 7 => -1*-1 / 7 => 1/7 => rem = 1

so, 6 ^ 17 + 17 ^ 6 / 7 => rem(-1 + 1)/ 7 => 0

Is this solution Helpfull? Yes (11) | No   

Nomendra Sinha  (9 years ago)

Unit digit approach can not be applied in remainder theorem.
By sequence method
6^17 remainder will be 6 or -1
17^6 remainder will be 1
so overall remainder=-1+1=0 ans.

Is this solution Helpfull? Yes (7) | No   

aneel  (9 years ago)

reminder is 0

Is this solution Helpfull? Yes (1) | No (2)  

MUNISH YADAV  (9 years ago)

Unit digit in 6 ^ 17 is 6 and in 17 ^ 6 is 9.
Thus, (6+7)/7=13/7 has remainder 6.
Ans is 6.

Is this solution Helpfull? Yes (1) | No (7)  

MUNISH YADAV  (9 years ago)

**SORRY**
(6+9)/7=15/7 has remainder 1.
Ans is 1.

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

ranjan kumar  (9 years ago)

soln will be 0

Is this solution Helpfull? Yes | No (1)  

Priya  (9 years ago)

remainder is 0
in 6^17 divided by 7 remainder is (-1)^17 17 is odd so remainder is -1
and in 17^6 divided by 7 remainder is 3^6=(3^3)^2=27^2 then remainder is (-1)^2 2 is even so remainder of 17^6 divided by 7 is 1
finally 6^17+17^6 remainder is -1+1=0
so reminder of this equation is 0;

Is this solution Helpfull? Yes | No   

MUNISH YADAV  (9 years ago)

What's the correct approach friends?

Is this solution Helpfull? Yes | No   

Arif Ali  (9 years ago)

6*6^16+17^6/7

6*36^8+3^6/7

6*1^8+9^3/7

6+2^3/7

14/7

remainder 0

Is this solution Helpfull? Yes | No   

ak srikanth  (7 years ago)

answer:1
because : 6^17 unit place will be 6 and 17^6unit place will be 9 total 6+9=15/7remainder 1

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.