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A six-digit number 5ABB7A is a multiple of 33 for digits A and B. Which of the following could be the possible value of A+B?

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Important Questions on Number System

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There are 3 consecutive odd numbers and 3 consecutive even numbers. The smallest even number is 9 more than largest odd number. If the square of average of all the 3 given odd number is 507 less than the square of the average of all 3 given even number, what is the smallest odd number?
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When the digits of a two-digit natural number are interchanged, then the original number is greater than four times the new number so obtained. How many such natural numbers are there which satisfies the above condition? Ignore the numbers which have 0 in their unit's place.
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If a number is divisible by both 11 and 13, then it must be necessarily:
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Both the end digits of a 99 digit number N are 2N is divisible by 11, then all the middle digits are:
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The greater of the two numbers whose product is 900 and sum exceeds their difference by 30 is:
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When n is divided by 4 , the remainder is 3. The remainder when 2n is divided by 4 is:
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A number, when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 31?
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A number, when divided by the sum of 555 and 445, gives two times their differences as quotient and 30 as the remainder. The number is: