GMAT Traps
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| 2^2 | 4
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| 2^3 | 8
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| 2^4 | 16
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| 2^5 | 32
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| 2^6 | 64
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| 2^7 | 128
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| 2^8 | 256
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| 2^9 | 512
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| 2^10 | 1024
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| 1! | 1
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| 0! | 1
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| 2! | 2
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| 3! | 6
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| 4! | 24
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| 5! | 120
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| 6! | 720
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| 7! | 5040
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| 8! | 40320
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| 9! | 362880
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| 10! | 3628800
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| 0 Squared | Undefined
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| 1 Squared | 1
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| 2 Squared | 4
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| 3 Squared | 9
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| 4 Squared | 16
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| 5 Squared | 25
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| 6 Squared | 36
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| 7 Squared | 49
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| 8 Squared | 64
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| 9 Squared | 81
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| 10 Squared | 100
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| 11 Squared | 121
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| 12 Squared | 144
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| 13 Squared | 169
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| 14 Squared | 196
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| 15 Squared | 225
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| 16 Squared | 256
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| 17 Squared | 289
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| 18 Squared | 324
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| 19 Squared | 361
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| 20 Squared | 400
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| 21 Squared | 441
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| 22 Squared | 484
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| 23 Squared | 529
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| 24 Squared | 576
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| 25 Squared | 625
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| 12 X 1 | 12
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| 12 X 2 | 24
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| 12 X 3 | 36
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| 12 X 4 | 48
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| 12 X 5 | 60
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| 12 X 6 | 72
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| 12 X 7 | 84
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| 12 X 8 | 96
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| 12 X 9 | 108
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| 12 X 11 | 132
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| 13 X 2 | 26
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| 13 X 3 | 39
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| 13 X 4 | 52
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| 13 X 5 | 65
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| 13 X 6 | 78
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| 13 X 7 | 91
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| 13 X 8 | 104
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| 13 X 9 | 117
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| 13 X 11 | 143
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| 13 X 12 | 156
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| 14 X 2 | 28
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| 14 X 3 | 42
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| 14 X 4 | 56
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| 14 X 5 | 70
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| 14 X 6 | 84
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| 14 X 7 | 98
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| 14 X 8 | 112
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| 14 X 9 | 126
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| 14 X 11 | 154
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| 14 X 12 | 168
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| 15 X 4 | 60
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| 15 X 5 | 75
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| 15 X 6 | 90
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| 15 X 7 | 105
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| 15 X 8 | 120
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| 15 X 9 | 135
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| 15 X 11 | 165
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| 15 X 12 | 180
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| 16 X 2 | 32
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| 16 X 3 | 48
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| 16 X 4 | 64
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| 16 X 5 | 80
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| 16 X 6 | 96
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| 16 X 7 | 112
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| 16 X 8 | 128
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| 16 X 9 | 144
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| 16 X 10 | 160
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| 16 X 11 | 176
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| 16 X 12 | 192
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| Y = MX + B | X, Y = Coordinates on the Line M = Slope B = Y Intercept
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| X^A + X^B | X^A+B
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| RootA X RootB | Root(A X B)
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| RootA / RootB | Root(A / B)
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| RootA^2 | Absolute Value A
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| X% of Y Equals | Y% of X
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| Work Formula | T = AB/A+B
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| A Root C + B Root C | (A + B) Root C
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| Name all the Pythagorean Triplets | 3:4:5 5:12:13 7:24:25 8:15:17 9:40:41
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| Surface Area of a Rectangular Solid | 2(LW+LW+WH)
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| Surface Area of a Cylinder | 2 Pie R^2 + 2 Pie R H
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| Volume of a Cylinder | Pie R^2 H
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| Volume of a Rectangular Solid | LWH
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| 1/9 | .111 repeating or 11.1%
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| 1/8 | .125 or 12.5%
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| 1/7 | .14 or 14%
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| 1/6 | .166 repeating or 16.6%
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| 1/5 | .20 or 20%
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| 1/4 | .25 or 25%
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| 1/3 | .333 repeating or 33.3%
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| 1/2 | .50 or 50%
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| 3/8 | .375 or 37.5%
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| 2/9 | .222 repeating or 22.2%
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| 2/7 | .28 or 28%
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| 3/7 | .42 or 42%
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| 4/7 | .57 or 57%
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| 5/7 | .71 or 71%
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| 6/7 | .85 or 85%
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| 5/6 | .83 or 83%
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| 5/8 | .625 or 62.5%
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| Why do decimals repeat? | Because they are divided by 9
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| How to convert a repeating decimal to fraction? | Put it over 9. for example .545454 = 54/99 .0787878 = 78/990
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| 7/8 | .875 or 87.5%
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| 1/11 | .0999 repeating or 9%
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| 1/12 | .083 or 8.3%
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| {A} + {B} = {A+B} ONLY when | A*B >=0 otherwise {A} + {B} > {A+B}
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| (a+b+c) * (1/a +1/b+1/c) >= | 9
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| For any positive integer N, (1+1/N)^N is >= to what? <= to what? | =>2 and <=3
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| a^2 + b^2 + c^2 >= | ab + bc + ca ... if a=b=c then the case of equality holds true
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| a^4+b^4+c^4+d^4 = | 4abcd (equality arises when a=b=c=d=1)
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| (n!)^2 > | n^n
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| If N is even, n(n+1)(n+2) is divisible by what? | 24
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| x^n - a^n = | x-a will be a multiple of x^n - a^n
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| (m + n)! is divisible by | m! * n!
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| When a 3 digit # is reversed and the difference is taken of these two #'s, the middle # is always what and sum of other two #'s is always what? | middle number is always 9, sum of other two numbers is 9
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| the sum of the first "n" positive integers = | n(n+1)/2
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| the sum of the squares of first "n" positive integers = | n(n+1)(2n+1)/6
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| the sum of the first "n" even numbers = | n(n+1)
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| the sum of the first "n" odd numbers = | n^2
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| If "N" is represented as a^x * b^y * c^z where (a,b,c... are prime) the total # of factors is | (x+1)(y+1)(z+1)
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| total number of prime numbers between 1-50 | 15
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| total number of prime numbers between 51-100 | 10
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| total number of prime numbers between 101-200 | 21
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| 2^10 = 4^What = 32^what | 2^10 = 4^5= 32^2
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| 3^8 = 9^what = 81^what | 3^8 = 9^4 = 81^2
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| 7*11*13 = | 1001
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| 11*13*17 = | 2431
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| 13*17*19 = | 4199
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| 19*21*23= | 9177
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| 19*23*29= | 12673
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| When the digits of a # are added up and the result is either blank or blank or blank or blank, then what? | the number could be a perfect square if the digits add up to 1 or 4, or 7 or 9
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| To find out the sum of three digit numbers formed with a set of given digits... | (sum of digits) * (# of digits - 1)! * (1 * # of digits, i.e. 3# =111)
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| x^n + y^n + z^n will not have a solution if n is >= to | 3
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| What is the only 3 digit number expressed as the sum of factorials of the individual digits? | 145 (1! +4!+ 5!)
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| when a number is of the form a^n -b^n then | the # is always divisible by a-b
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| Pascals triangle for compounding interest | Number of years 1 - 1 2 - 1 2 1 3 - 1 3 3 1 4 - 1 4 6 4 1
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| Explain pascals triangle for CI given P=1000, R=10%, and N=3 years | 1 * 1000 + 3 *100 + 3*10 + 1*1= 1331 coefficients of each number
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| Suppose product is increased by X%, then decreased by Y%, the final change in % is what formula? | X-Y-XY/100 = profit or loss. To find the price sold, the profit or loss % will be multiplied to get 100% to find cost. Add cost plus profit/loss to find selling price
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| When the cost price of 2 articles is the same, and % marked up is the same, which one should be assumed as 100? | the marked price
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| When P represents principal, R represents rate of interest, then, the difference between 2 years simple interest and compounding is | P * (R/100)^2
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| When P represents principal, R represents rate of interest, then, the difference between 3 years simple interest and compounding is | ((P * R^2)*(300+R))/100^3
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| If A can finish the work in X time and B can finish the same work in Y time, then both can finish the time in - | (X*Y)/(X+Y) time
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| If A can finish the work in X time and A+B together can finish the same work in S time, then B can finish the time in - | (XS)/(X-S) time
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| If A can finish the work in X time and B in Y time and C in Z time then all of them working together can finish the work in - | (XYZ)/(XY+YZ+XZ)
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| If A can finish the work in X time and B in Y time and A+B+C together in S time then C can finish that work alone in - | (XYS)/(XY-SX-SY)
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| If A can finish the work in X time and B in Y time and A+B+C together in S time then B+C can finish that work in- | (SX)/(X-S)
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| If A can finish the work in X time and B in Y time and A+B+C together in S time then A+C can finish that work in- | (SY)/(Y-S)
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| When there are "n" items and "m" out of such items should follow a pattern then the probability is given by | 1/m! i.e. 10 girls dance, one after the other. what is prob. A dance before B before C? n=10, m=3 (A,B,C) 1/3! =1/6
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| For any regular polygon, the sum of exterior angles is = to what? what is measurement of any external angle? | 360 degrees and each angle is 360/n when "n" is # of sides
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| For any regular polygon, the sum of interior angles is = to what? what is measurement of any external angle? | (n-2)*180 degrees where "n" is number of sides and measurement of one angle is (n-2)/n*180
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| If any parallelogram can be inscribed in a circle then it must be a | rectangle
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| If a trapezium can can be inscribed in a circle, it must be an | isosceles trapezium (oblique sides equal)
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| Area of Rhombus = | product of two diagonals
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| Given the coordinates, (a:b), (c:d), (e:f), (g:h) of a parallelogram, the coordinates of the meeting point of the diagonals can be found by | {(a+e)/2, (b+f)/2} = {(c+g)/2, (d+h)/2}
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| Let W be any point inside a rectangle ABCD, then | WD^2 + WB^2 = WC^2 + WA^2
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| Distance between a point (x,y) and a line represented by the equation ax+by+c=0 is | {ax1+by1+c/Sq(a^2+b^2)
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| When a rectangle is inscribed in an isosceles right triangle, then the length of the rectangle is: and ratio of area to triangle area is: | length is twice it's width and ratio of area of a rectangle is triangle is 1:2
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| Length of longest diagonal in a cube is always | XRoot3 where X is the side
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| When base area = base perimeter then length of diagonal is always | 4
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| What is the 3D distance formula: | ROOT(L^2 + W^2 + H ^2)
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| X^1/2 = | SQ ROOT X
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| X^1/3 = | Cube Root X
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| X^A/B = 4 different ways which are: | (X^1/B)^A = (X^A)^1/B = (B Root of X)^A = B Root of X^A
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| (X-1)^2/X-1 = | (X+1)(X-1)/(X-1) The X-1's cancel out, leaving you X+1
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| 3^3 | 27
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| 3^4 | 81
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| 3^5 | 243
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| 3^6 | 729
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| 3^7 | 2187
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| 3^8 | 6561
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| 4^3 | 64
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| 4^4 | 256
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| 4^5 | 1024
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