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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. Prime Numbers:9x






2. Prime Numbers:7x






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






4. 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






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






6. How to find the sum of consecutive integers:






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






8. Prime Numbers:0x






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






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






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






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






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






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






15. Prime Numbers:2x






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






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






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






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






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






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






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






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






24. v5






25. v169=






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






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






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






29. Prime Numbers:5x






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






31. 3n + 3n + 3n = _____ = ______






32. Prime Numbers:6x






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






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






35. v2






36. Prime Numbers:4x






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






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






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






40. For ODD ROOTS - the root has ______.






41. v625=






42. Prime Numbers:1x






43. v216 =






44. 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






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






46. v196=






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






48. v3






49. Prime Numbers:3x






50. Prime Numbers:8x