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PPT On Integer Properties

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Published in: GRE
1,669 Views

Number System in GRE Quant is one of the important topics and this PPT gives few important properties of Integers which will create interest to solve few GRE problems.

P M / Visakhapatnam

16 years of teaching experience

Qualification: BE

Teaches: Mental Maths, Business Mathematics, Economics, Mathematics, Statistics, Algebra, NTSE, Bank PO, IIT JEE Mains, GRE, SAT, MBA Entrance

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  1. acr Quit Test Exit Section Review Mark Help Back Next Properties of Integers
  2. acr Quit Test Exit Section Review Mark Help Back Next Integers
  3. acr Quit Test Exit Section Review Mark Help Back Next If x & y are integers then x is divisible by y if there is no remainder when x is divisible by ( No REM) 30 is divisible by 5 since 5 12 ( No REM) 12 is divisible by 3 since 3 Y (With REM 3) 8 is NOT divisible by 5 since 5
  4. acr Quit Test Exit Section Review Mark Help Back Next Divisibility
  5. acr Quit Test Exit Section Review Mark Help Back Next If x & y are integers then x is divisible by y if there is exists some integer k such that x =k y 16 is divisible by 2 since 16 = 8 (2) 18 is divisible by -3 since 18 = (-6)(-3)
  6. acr Quit Test Exit Section Review Mark Help Back Next If x is divisible by y then y is a divisor of x If x is divisible by y then y is a factor of x 4 is divisor of 8 -10 is divisor of 40
  7. acr Quit Test Multiples Exit Section Review Mark Help Back Next
  8. acr If x is divisible by y then x is a multiple of y Quit Test Exit Section Review Mark Help Back Next 14 is divisible by 7=> 14 is multiple of 7 -36 is divisible by 3=>-36 is multiple of 3
  9. acr Quit Test Exit Section Review Mark Help Back Next If x & y are integers then x is divisible by y: ' When x is divisible by y, then remainder is 0 y is a divisor of x ' y is a factor of x ' x equals to ky for some integer k ' x is a multiple of y
  10. acr Quit Test Exit Section Review Mark Help Back Next Which of the following integers has most positive divisors? a) b) c) d) e) 16 18 40 50 51
  11. acr Quit Test Exit Section Review Mark Help Back Next Divisibility Rules
  12. acr > Divisibility by 2: 124 367 390 541 392 > Divisibility by 3: 10023 808324 708042 23401 2817 Quit Test Exit Section Review Mark Help Back Next
  13. acr > Divisibility by 4: 60012 555073 231036 35014 788100 > Divisibility by 5: 90 26545 540 22870 7925 Quit Test Exit Section Review Mark Help Back Next
  14. acr > Divisibility by 6: 10032 708006 77032 > Divisibility by 7: 392 6118 863 5682 4424 Quit Test Exit Section Review Mark Help Back Next
  15. acr > Divisibility by 8: 4504 5230 12800 7848 9984 > Divisibility by 9: 761022 110007 98163 23401 Quit Test Exit Section Review Mark Help Back Next
  16. acr Quit Test Exit Section Review Mark Help Back Next Prime Numbers
  17. acr Quantity A No. of prime no's from 70 to 80 inclusive Quit Test Exit Section Review Mark Help Back Next Quantity B No. of prime no's from 80 to 90 inclusive a) b) c) d) Quantity A is greater Quantity B is greater Both Quantities are equal Cannot be determined from the information given
  18. acr Quit Exit Review Mark Test Section O Help Back Next Prime Factorization Any integer greater than 2 is either prime or can be expressed as the product of prime numbers
  19. acr Quit Test Exit Section Review Mark Help Back Next 8500 has how many different prime factors? a) b) c) d) 3 4 5 6 24
  20. acr Quit Test Exit Section Review Mark Help Back Next If P is the product of even integers from 2 to 20 inclusive, what is the greatest integer n such that 2n is a divisor of P? a) c) d) e) 10 16 18 20
  21. acr Quit Test Exit Section Review Mark Help Back Next If K is a positive integer, what is the least possible value of K such that 2520K is a perfect square? a) b) c) e) 35 70 105 140 210

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