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






2. Prime Numbers:4x






3. v196=






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






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






6. 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






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






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






9. v225=






10. For ODD ROOTS - the root has ______.






11. How to solve: Is the integer z divisible by 6? (1) gcd(z -12) = 3 (2) gcd(z -15) = 15






12. Prime Numbers:3x






13. Prime Numbers:8x






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






15. Prime Numbers:5x






16. Prime Numbers:0x






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






18. Prime Numbers:7x






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






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






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






22. Prime Numbers:6x






23. Prime Numbers:2x






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






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






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






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






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






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






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






31. Prime Numbers:9x






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






33. v216 =






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






35. How to solve: For any positive integer n - the sum of the 1st n positive integers equals n(n+1)/2. What is the sum of all the even integers between 99 and 301? (A) 10 -100 (B) 20 -200 (C) 22 -650 (D) 40 -200 (E) 45 -150






36. 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?






37. v2






38. 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






39. How to find the sum of consecutive integers:






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






41. v169=






42. Prime Numbers:1x






43. v256=






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






45. v3






46. 3n + 3n + 3n = _____ = ______






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






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






49. v5






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