Question : The greatest number by which 2300 and 3500 are divided, leaving the remainder of 32 and 56 respectively, is:
Option 1: 136
Option 2: 168
Option 3: 42
Option 4: 84
Correct Answer: 84
Solution : The numbers obtained by subtracting the remainders are 2300 – 32 = 2268 3500 – 56 = 3444 Now, 2268 = 2 × 2 × 3 × 3 × 3 × 3 × 7 3444 = 2 × 2 × 3 × 7 × 41 The HCF is 2 × 2 × 3 × 7 = 84 Hence, the correct answer is 84.
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Question : When a number is successively divided by 3, 4, and 7, the remainder obtained is 2, 3, and 5 respectively. What will be the remainder when 42 divides the same number?
Question : When a number is successively divided by 3, 4 and 7, the remainder obtained are 2, 3 and 5, respectively. What will be the remainder when 84 divides the same number?
Question : A number, when divided by 729, gives a remainder of 56. What will we get as a remainder if the same number is divided by 27?
Question : What is the greatest number of six digits, which when divided by each of 16, 24, 72, and 84 leaves the remainder 15?
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