Test your basic knowledge |

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






2. Prime Numbers:3x






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






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






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






6. Prime Numbers:1x






7. Prime Numbers:8x






8. v256=






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






10. Prime Numbers:6x






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






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






13. v216 =






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






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






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






17. Prime Numbers:0x






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






19. How to find the sum of consecutive integers:






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






21. v3






22. 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?






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






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






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






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






27. v196=






28. Prime Numbers:2x






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






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






31. v625=






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






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






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






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 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






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






38. v5






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






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






41. v225=






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






43. v2






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






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






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






47. Prime Numbers:4x






48. Prime Numbers:9x






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






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