Question
Find the remainder when 3⁶⁵ is divided by 8.
Solution
3¹ ≡ 3 (mod 8) 3² = 9 ≡ 1 (mod 8) Powers of 3 mod 8 repeat every 2: 3, 1, 3, 1, ... Since 65 is odd, 3⁶⁵ ≡ 3¹ ≡ 3 (mod 8) Remainder = 3
Statements: E ≥ F ≥ A ≤ W, N ≥ M ≥ Y = E
Conclusion:
I. N > W
II. Y ≥ A
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and the...
In which of the following expressions does the expression ‘L > B’ and ‘R < N’ is true?
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the ...
Statements : E > N > W ≤ M > L; K ≥ G; L > P = Q > G
Conclusions :
I . M > G
II . W < N
III . L < K
...What is the place of question mark (?) in the given expression does the expression L < I and W > L is definitely true?
W = P ≥ M ? L ; P ≤ I
Statements: L = T > V ≥ M = I; V < O ≤ U = S
Conclusions:
I. T < S
II. U > I
Statements: C $ O, O% D, A © D
Conclusions:
I. A © O
II. D @ C
III. C © A
In which of the following expressions will the expression ‘D < F’ be definitely true?
Statement: H > G = M > S; G `>=` T > L; M `<=` F < U
Conclusion: I. F > S II. T < H
...
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