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Nova Press: Set E - 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, whi...
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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 o...
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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 num...
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No.4:    If the average of the consecutive even integers a, b, and c is less than , which of the follow...
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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 pri...
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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 valu...
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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 va...
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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 eve...
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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...
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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  is a factor of ...
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No.12: If x, y, and z are consecutive integers in that order, which of the following must be true? I.   ...
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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 or...
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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 t...
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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 f...
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No.19: Which one of the following could be the difference between two numbers both of which are divisible ...
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No.20: A number, when divided by 12, gives a remainder of 7. If the same number is divided by 6, then the ...
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No.21: Let x be a two-digit number. If x > 0, and the sum of the digits of x is 9, then the sum of the d...
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No.22: ...
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No.23: If  is an odd integer, which one of the following expressions is an even integer? ...
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No.24: If the product of two integers is odd, then the sum of those two integers must be ...
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No.25: If the sum of three consecutive integers is odd, then the first and the last integers must be ...
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No.26: If l, m, and n are positive integers such that l < m < n and n < 4, then m = ...
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No.27: If two non-zero positive integers p and q are such that p = 4q and p < 8, then q = ...
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No.28: If n is an integer, then which one of the following expressions must be even? ...
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No.29: The sum of three consecutive positive integers must be divisible by which of the following? ...
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Total Questions: 29
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