Question
What is the remainder when 7³⁵ is divided by
5?Solution
Using the cyclicity of powers of 7 modulo 5, observe the pattern: 7¹ ≡ 2 (mod 5), 7² ≡ 4 (mod 5), 7³ ≡ 3 (mod 5), 7⁴ ≡ 1 (mod 5). The pattern repeats every 4 terms. Since 35 ÷ 4 leaves a remainder of 3, 7³⁵ ≡ 7³ ≡ 3 (mod 5). Correct answer: c) 3
Select a suitable figure from the Answer Figures that would replace the question mark (?) from question figure.
Select the option that is related to the third number in the same way as the second number is related to the first number.
64 : 224 :: 98 : ?
If 47 # 56 = 159 and 28 # 38 = 104, then 35 # 49 = ?
In the following question, select the related word from the given alternatives.
Shirt : Cloth : : Bus : ?
WORD : 3584 :: PLAN : 6214 :: CODE : ?
Who sits adjacent to S?
Hard : Stone :: Soft : ?
34 is related to 155 by certain logic. Following the same logic, 49 is related to 168. To which of the following is 68 related, following the same logic?
Read the given statement and conclusions carefully. Decide which of the given conclusions is/are definitely true from the statement.
Statement: V...
Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
F S_ Y Z _ _ N _Z F _ _ Y Z
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