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Find the remainder when 505152 is divided by 11.

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Important Questions on Number Systems

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Find the remainder when 323334 is divided by 11.
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Find the remainder when 307287 is divided by 11.
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Find the remainder when 505652 is divided by 11.
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Find the remainder when 333435 is divided by 7.
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Let Sm denote the sum of the squares of the first m natural numbers. For how many values of m<100, is Sm a multiple of 4?
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Let Sm denote the sum of the cubes of the first m natural numbers, for how many values will the sum of cubes of the first m natural numbers be a multiple of 5 if m<50?
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How many integer values of x and y satisfy the expression 4x+7y=3 where |x|<1000 and |y|<1000?
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N= 7777............7777, where the digit 7 repeats itself 603 times. What is the remainder left when N is divided by 1144