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






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






3. 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






4. Prime Numbers:6x






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






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. v169=






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






9. v256=






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






11. v2






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






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






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






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






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






17. v225=






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






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






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






21. 3n + 3n + 3n = _____ = ______






22. v216 =






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






24. v3






25. Prime Numbers:0x






26. Prime Numbers:4x






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






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






29. Prime Numbers:5x






30. Prime Numbers:9x






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






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






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






34. v196=






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






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






37. Prime Numbers:1x






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






39. v625=






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






41. v5






42. 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?






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






44. Prime Numbers:8x






45. Prime Numbers:2x






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






47. Prime Numbers:7x






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






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






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