Question : When n is divided by 4, the remainder is 3. The remainder when 2n is divided by 4 is:
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 6
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Correct Answer: 2
Solution : Given: Divisor = 4, remainder = 3 Let quotient = q and dividend = n Dividend = (Divisor × Quotient) + Remainder ⇒ n = (4 × q) + 3 Multiplying both sides by 2 ⇒ 2n = 8q + 6 ⇒ 2n = 4 × 2q + 6 When 2n is divided by 4, the first part 4 × 2q gives the remainder 0, and the second part 6 gives the remainder 2. Required Remainder = 0 + 2 = 2 Hence, the correct answer is 2.
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Question : N is the largest two-digit number which, when divided by 3, 4, and 6, leaves the remainder of 1, 2, and 4, respectively. What is the remainder when N is divided by 5?
Question : A number, when divided by 6, leaves a remainder of 3. When the square of the same number is divided by 6, the remainder is:
Question : M is the largest 4-digit number which, when divided by 4, 5, 6, and 7, leaves the remainder as 2, 3, 4, and 5, respectively. What will be the remainder when M is divided by 9?
Question : When m is divided by 7, the remainder is 5. When 3m is divided by 7, the remainder is:
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