Question

The least number which when divided by 3,5,7,11 leaves a remainder of 2, but leaves a remainder of 9 when divided by 13 is?

Answer 1

Answer:

The LCM of the numbers 15, 25 and 35 will be 75∗7=525

Now, number has a remainder of 25 when divided by 35. Similarly, number has remainder 15 on dividing by 25 and remainder is 5 when divided by 15. In each case, we are 10 short of getting a zero remainder. So the desired number must be 525−10=515

Option A

Answer 2

Answer:

The LCM of the numbers 15, 25 and 35 will be 75∗7=525

Step-by-step explanation:

Now, number has a remainder of 25 when divided by 35. Similarly, number has remainder 15 on dividing by 25 and remainder is 5 when divided by 15. In each case, we are 10 short of getting a zero remainder. So the desired number must be 525−10=515

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