Ans 1.
(7^(12x+3)+3) MOD 5
((7^12x)(7^3))MOD 5 + 3 MOD 5
Taking only the underlined part,
((7^12x)MOD 5 )(7^3 MOD 5)
((2^12x)MOD 5)(2^3 MOD 5)
((2^4)^3x) MOD 5 * (8 MOD 5)
((16)^3x MOD 5)* 3
((1)^3x MOD 5)*3
1*3 = 3
1^n =1. 1 power of anything equal to 1.
Now, including the second part also,
3+3 = 6 MOD 5 = 1.
Hence ans is 1.
OA please.
Exponents & Remainders
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- hariharakarthi
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GMATandCFA
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I've got another problem for you, hariharakarthi. As you will see, it's similar to this problem, and two other people have posted answers. However, the two people disagree on the correct answer, so I'd like to see what you get. Thx for your help!!
https://www.beatthegmat.com/viewtopic.ph ... 969#187969
https://www.beatthegmat.com/viewtopic.ph ... 969#187969

















