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Q #6
⏰ :

CAT Remainders - Squares


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N2, leaves a remainder of 1 when divided by 24. What are the possible remainders we can get if we divide N by 12?
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Q #7
⏰ :

CAT Remainders, coprime numbers


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A prime number p greater than 100 leaves a remainder q on division by 28. How many values can q take?
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Q #8
⏰ :

CAT Remainders and LCM


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How many positive integers are there from 0 to 1000 that leave a remainder of 3 on division by 7 and a remainder of 2 on division by 4?
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Q #9
⏰ :

CAT Remainders - Basics


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Three numbers leave remainders of 43, 47 and 49 on division by N. The sum of the three numbers leaves a remainder 9 on division by N. What are the values N can take?
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Q #10
⏰ :

CAT Remainders


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A number leaves a remainder 3 on division by 14, and leaves a remainder k on division by 35. How many possible values can k take?
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