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Nova Math - Problem Set F: Number Theory
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Question
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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...
1256
2
No.2: If x and y are both prime and greater than 2, then which of the following CANNOT be a divisor of xy?...
0
0
No.3: If 2 is the greatest number that will divide evenly into both x and y, what is the greatest number t...
1776
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No.4: If the average of the consecutive even integers a, b, and c is less than a/3, which of the following...
1568
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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 pr...
0
0
No.6: If x is both the cube and the square of an integer and x is between 2 and 800, what is the value of ...
1693
5
No.7: In the two-digit number x, both the sum and the difference of its digits is 4. What is the value of ...
1190
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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 even....
2155
3
No.9: Column A Column B n is between 1 and 4 3 ...
0
0
No.10: Column A Column B n, where n is between 1 and 4 x, where x is a solution of the equation...
0
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No.11: Which of the following must be true.   I.   pq + 1 is even.  II.   pq/2 is an integer. III....
1113
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No.12: Column A Column B p q ...
1877
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No.13: The smallest prime number greater than 53 is ...
0
0
No.14: Column A Column B The number of distinct prime factors of 12 The number of distinct prim...
0
0
No.15: Which one of the following numbers is the greatest positive integer x such that 3x is a factor of 27...
1294
2
No.16: If x, y, and z are consecutive integers in that order, which of the following must be true? I.   ...
1091
2
No.17: If − x − 2 = −|−(6 − 2)|, then x = ...
1063
2
No.18: If the sum of two prime numbers x and y is odd, then the product of x and y must be divisible by ...
1709
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No.19: If and x and y are integers, then which one of the following must be true? ...
1241
4
No.20: A two-digit even number is such that reversing its digits creates an odd number greater than the ori...
1482
3
No.21: 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...
1394
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No.22: If n > 2, then the sum, S, of the integers from 1 through n can be calculated by the following f...
1466
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No.23: Column A Column B The remainder when n is divided by 10 5 ...
1088
2
No.24: Which one of the following could be the difference between two numbers both of which are divisible b...
1489
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No.25: A number, when divided by 12, gives a remainder of 7. If the same number is divided by 6, then the r...
0
0
No.26: 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...
0
0
No.27: ...
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No.28: Column A         C...
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No.29: If n3 is an odd integer, which one of the following expressions is an even integer? ...
1385
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No.30: If the product of two integers is odd, then the sum of those two integers must be ...
0
0
Total Questions: 36 Previous 1 2 Next
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