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GMAT Number Properties

Subjects : gmat, math
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • Match each statement with the correct term.
  • Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. How to find the sum of consecutive integers:






2. The sum of any two primes will be ____ - unless ______.






3. Let N be an integer. If you add a multiple of N to a non-multiple of N - the result is ________.






4. The SUM of n consecutive integers is divisible by n if ____ - but not if ______.






5. The average of an EVEN number of consecutive integers will ________ be an integer.






6. If 2 cannot be one of the primes in the sum - the sum must be _____.






7. Prime Numbers:1x






8. In an evenly spaced set - the ____ and the ____ are equal.






9. For ODD ROOTS - the root has ______.






10. Positive integers with only two factors must be ___.






11. Let N be an integer. If you add two non-multiples of N - the result could be _______.






12. ³v216 =






13. Prime Numbers:0x






14. All perfect squares have a(n) _________ number of total factors.






15. How to solve: If k - m - and t are positive integers and k/6 + m/4 = t/12 - do t and 12 have a common factor greater than 1? 1. k is a multiple of 3 2. m is a multiple of 3

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16. In an evenly spaced set - the mean and median are equal to the _____ of _________.






17. Any integer with an EVEN number of total factors cannot be ______.






18. The prime factorization of a perfect square contains only ______ powers of primes.






19. On data sufficiency - ALWAYS _______ algebraic expressions when you can. ESPECIALLY for divisibility.






20. Prime factors of _____ must come in pairs of three.






21. Positive integers with more than two factors are ____.






22. If the problem states/assumes that a number is an integer - check to see if you can use _______.






23. In an evenly spaced set - the average can be found by finding ________.






24. Prime Numbers:9x






25. How to solve: If p is the product of the integers from 1 to 30 - inclusive - what is the greatest integer n for which 3n is a factor of p?






26. v625=






27. Any integer with an ODD number of total factors must be _______.






28. Prime Numbers:8x






29. The PRODUCT of n consecutive integers is divisible by ____.






30. v196=






31. In an evenly spaced set - the sum of the terms is equal to ____.






32. The formula for finding the number of consecutive multiples in a set is _______.






33. All evenly spaced sets are fully defined if:1. _____ 2. _____ 3. _____ are known.






34. The two statements in a data sufficiency problem will _______________.






35. Prime Numbers:6x






36. v5˜






37. v2˜






38. If N is a divisor of x and y - then _______.






39. If estimating a root with a coefficient - _____ .






40. Prime Numbers:7x






41. When we take an EVEN ROOT - a radical sign means ________. This is _____ even exponents.






42. The average of an ODD number of consecutive integers will ________ be an integer.






43. Prime Numbers:4x






44. v3˜






45. The prime factorization of __________ contains only EVEN powers of primes.






46. N! is _____ of all integers from 1 to N.






47. Prime Numbers:5x






48. How to test for sufficiency: If p is an integer - is p/n an integer? (1) k1p/n is an integer(2) k2p/n is an integer






49. v256=






50. v169=