Find the largest four digit number which when divided by 4, 7 and 13 leaves remainder 3 in each case

Question 14 Real Numbers Exercise 1B

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Answer:

Prime factors of 4, 7 and 13

4 = 2x2

7 and 13 are prime numbers.

LCM ( 4, 7, 13) = 364

We know that, the largest 4 digit number is 9999

Step 1: Divide 9999 by 364, we get

9999/364 = 171

Step 2: Subtract 171 from 9999

9999 - 171 = 9828

Step 3: Add 3 to 9828

9828 + 3 = 9831

Therefore 9831 is the number.

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