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Syed Farhaz Ali 3 years ago

What is the remainder when 6^17+117^6 is divided by 7 ?
a) 1 b) 6 c) 0 d) 3

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neha gupta 3 years ago

To solve this question , first break the LCM i.e. find the remainder when 6^17 is divided by 7
and then find remainder when 117^6 is divided by 7 :
as follows:
See, if even power of 6 is divided by 7, remainder is 1 and
if odd power of 6 is divided by 7, remainder is 6
so here power of 6 is 17(odd) so its remainder is 6
Now for 117,
if even power of 117 is divided by 7, remainder is 4
if odd power of 117 is divided by 7, remainder is 5
so here power of 117 is 6(even) so remainder is 4
now add both the remainders obtained i.e. 6 + 4 = 10
and when 10 is divided by 7 remainder is 3,
so its answer is 3 (option d).

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Rishu 3 years ago

c) 0

(6^17+117^6)=(7-1)^17+(112+5)^6=(-1)^17+5^6=(-1)+15625=15624=0mod7

so (6^17+117^6)=0mod7

Thus the remainder when (6^17+117^6) is divided by 7 is 0

Like? Yes (2) | No

Ramakrishna 3 years ago

Q: 1^1/2: 3^3/4:: 1^2/3: x. then the value of x is ?

a) 3^1/6 b) 4^1/6

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Ramakrishna 3 years ago

Thanks you neha................

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neha gupta 3 years ago

any time Parusharam

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Ramakrishna 3 years ago

Q: what is 5^2/3 -4^1/6 + 2^3/4 -1^1/4 is ?

a) 4 b) 3 c) non

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Satnam Singh Chahal 3 years ago

hi lets be frnd on fb if u r intersted

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neha gupta 3 years ago

a+b+c+d=ac=19
a=1,c=9
b+d=9,b*d=126/9=14
therefore,d=7 and b=2
or d=2,b=7
d-a=6 or 1

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Gugulothu vijaykumar 3 years ago

hai how are you medam

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ER. Neha
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Uttar Pradesh

Neha gupta (F)

Total Points 1289
Join 6 years ago

M4 Score

Score from best 50 Questions

Attempted 50
Date Points

29 Apr 15 17
06 May 15 17
23 Jun 15 18
30 Jun 15 19
01 Jul 15 19
06 Jul 15 16
15 Jul 15 19
17 Jul 15 17
27 Jul 15 16
28 Jul 15 19
29 Jul 15 16
30 Jul 15 19
03 Aug 15 18
04 Aug 15 19
07 Aug 15 19
10 Aug 15 19
12 Aug 15 19
17 Aug 15 18
18 Aug 15 16
25 Aug 15 20
26 Aug 15 16
08 Sep 15 17
09 Sep 15 16
10 Sep 15 19
15 Sep 15 19
21 Sep 15 16
23 Sep 15 16
24 Sep 15 19
13 Oct 15 17
02 Nov 15 20
04 Nov 15 17
10 Nov 15 16
14 Dec 15 16
30 Dec 15 19
31 Dec 15 19
14 Jan 16 18
27 Jan 16 16
02 Feb 16 16
04 Feb 16 16
05 Feb 16 16
16 Feb 16 17
18 Feb 16 17
29 Feb 16 16
01 Mar 16 16
20 Apr 16 16
28 Apr 16 17
03 May 16 19
27 May 16 16
03 Jun 16 15
14 Jun 16 15

Total 868
M4 Score868 / 10 = 86

Today's Puzzle Report

Puzzle Attempts135
Total Puzzle Points 1997

Placement Puzzle Report

Question Ask 2
Best Solution 1
Solution 30

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