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Nova Math - Problem Set F: Number Theory
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No.1: If the remainder is 1 when m is divided by 2 and the remainder is 3 when n is divided by 4, which of...
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No.2: If x and y are both prime and greater than 2, then which of the following CANNOT be a divisor of xy?...
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No.3: If 2 is the greatest number that will divide evenly into both x and y, what is the greatest number t...
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No.4: If the average of the consecutive even integers a, b, and c is less than which of the following bes...
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No.5: If is a prime integer, which of the following must be true?   I. y = 5x  II. y is a ...
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No.6: If x is both the cube and the square of an integer and x is between 2 and 200, what is the value of ...
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No.7: In the two-digit number x, both the sum and the difference of its digits is 4. What is the value of ...
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No.8: If p divided by 9 leaves a remainder of 1, which of the following must be true?   I. p is ...
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No.9: p and q are integers. If p is divided by 2, the remainder is 1; and if q is divided by 6, the remain...
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No.10: The smallest prime number greater than 53 is ...
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No.11: Which one of the following numbers is the greatest positive integer x such that 3x is a factor of 27...
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No.12: If x, y, and z are consecutive integers in that order, which of the following must be true?  &n...
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No.13: If −x − 2 = −|−(6 − 2)|, then x = ...
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No.14: If the sum of two prime numbers x and y is odd, then the product of x and y must be divisible by ...
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No.15: If and x and y are integers, then which one of the following must be true? ...
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No.16: A two-digit even number is such that reversing its digits creates an odd number greater than the ori...
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No.17: Let a, b, and c be three integers, and let a be a perfect square. If a/b = b/c, then which one of th...
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No.18: If n > 2, then the sum, S, of the integers from 1 through n can be calculated by the following fo...
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No.19: If n is an odd number greater than 5 and a multiple of 5, then what is the remainder when n is divid...
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No.20: Which one of the following could be the difference between two numbers both of which are divisible b...
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No.21: A number, when divided by 12, gives a remainder of 7. If the same number is divided by 6, then the r...
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No.22: Let x be a two-digit number. If the sum of the digits of x is 9, then the sum of the digits of the n...
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No.23: ...
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No.24: The number of positive integers less than 1000 that are divisible by 3 is ...
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No.25: If n3 is an odd integer, which one of the following expressions is an even integer? ...
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No.26: If the product of two integers is odd, then the sum of those two integers must be ...
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No.27: An odd number added to itself an odd number of times yields ...
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No.28: If the sum of three consecutive integers is odd, then the first and the last integers must be ...
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No.29: If l, m, and n are positive integers such that l < m < n and n < 4, then m = ...
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No.30: If two non-zero positive integers p and q are such that p = 4q and p < 8, then q = ...
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Total Questions: 33 Previous 1 2 Next
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