GRE Integer Properties

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WHOLE NUMBERS:

A WHOLE NUMBER IS ANY NUMBER FROM 0 TILL INFINITE, NOT INCLUDING FRACTIONS. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, …

  • NATURAL NUMBERS: A NATURAL NUMBER IS ANY NUMBER FROM 1 TILL INFINITE, NOT INCLUDING FRACTIONS. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, …}
  • INTEGERS:  AN INTEGER IS ANY NUMBER FROM 0 TILL INFINITE, ON BOTH THE POSITIVE AND NEGATIVE SIDES, NOT INCLUDING FRACTIONS. {…… -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, …}
  • NUMBER LINE:

A NUMBER LINE IS A LINE IN WHICH NUMBERS ARE MARKED TO SCALE. IT CAN BE USED FOR     

                                                                                  

 MEASUREMENTS, OR FOR ADDITION OR SUBTRACTION OF NUMBERS. A NUMBER LINE EXTENDS FROM NEGATIVE INFINITY TO POSITIVE INFINITY

  • EXPONENT: EXPONENTIATION IS A MATHEMATICAL OPERATION, WRITTEN AS A^B, WHERE A IS MULTIPLIED TO ITSELF (B-1) NUMBER OF TIMES. IN SUCH A CASE, A IS CALLED THE BASE, AND B THE EXPONENT. E.G. 2^3 = 8. HERE 2 IS THE BASE, AND 3 IS THE EXPONENT
  • ROOT: IN THE ABOVE EXAMPLE, IF A^B=C, THEN A WOULD BE CALLED THE BTH ROOT OF C. IN OUR CASE 2 IS THE 3RD ROOT OF 8
  • PERCENT: PERCENT MEANS PER 100, OR, FOR EVERY 100. IN MATHEMATICS, A PERCENTAGE IS A RATIO EXPRESSED AS A FRACTION OF 100. E.G. 0.45 = 45%
  • RATIO: IN MATHEMATICS, A RATIO IS A RELATIONSHIP INDICATING THE RELATIONSHIP BETWEEN THE NUMBERS OF 2 THINGS OR THE ENORMITY OR SIZE OF 2 THINGS. E.G.: 4:7
  • RATE: IN MATHEMATICS, RATE IS THE AMOUNT OF WORK DONE IN AN UNIT TIME, FOR EXAMPLE, SPEED  OR VELOCITY IS THE RATE OF DISTANCE
  • ABSOLUTE VALUE: THE ABSOLUTE VALUE OF A NUMBER IS THE FACE VALUE OF THE NUMBER OBTAINED IRRESPECTIVE OF WHETHER IT IS A POSITIVE NUMBER OR A NEGATIVE NUMBER. THUS, THE ABSOLUTE VALUE OF -5, DENOTED AS |-5| = |5| = 5
  • ARITHMETIC PROGRESSION: IN MATHEMATICS, AN ARITHMETIC PROGRESSION IS A SEQUENCE OF NUMBERS SUCH THAT THE DIFFERENCE BETWEEN THE CONSECUTIVE TERMS OF THE PROGRESSION IS A CONSTANT. E.G. 1, 3, 5, 7, 9, 1, 13, 15,…, WHERE 2 IS THE DIFFERENCE
  • GEOMETRIC PROGRESSION: IN MATHEMATICS, A GEOMETRIC PROGRESSION IS A SEQUENCE WHERE EACH TERM AFTER THE FIRST TERM IS FOUND BY MULTIPLYING THE PREVIOUS ONE BY A FIXED NON-ZERO NUMBER, CALLED THE COMMON RATIO. E.G. 3, 6, 12, 24, 48, 96, 192, … WHERE THE COMMON RATIO IS 2
  • HARMONIC PROGRESSION: IN MATHEMATICS, A HARMONIC PROGRESSION IS A SEQUENCE FORMED BY TAKING THE RECIPROCALS OF AN ARITHMETIC PROGRESSION. E.G. 1, 1/3, 1/5, 1/7, 1/9, 1/11, 1/13, 1/15,… IS THE HARMONIC PROGRESSION CORRESPONDING TO THE ARITHMETIC PROGRESSION SHOWN IN POINT 11

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