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A 3- digit number 4a3 is added to another 3-dgit number 984 to give a 4-digit number  13b7, which is divisible by 11. Then, (a + b) = ?

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Important Questions on Numbers

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The smallest prime number is:
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On dividing a number by 56 we get 29 as remainder. On dividing the same number by 8 what will be the remainder?
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If the product 4864×9 P2 is divisible by 12, then the value of P is?

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In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9 and 13 (factors of 585) and got the remainders 4, 8, 12 respectively. If he had divided the number by 585, the remainder would have been
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476 ** 0 is divisible by both 3 and 11. The non-zero digits in the hundred's and ten's places are respectively.