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### 11 Cards in this Set

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 What is the units digit of (5^3)(7^2)(3^2) The Units digit is 5 When Solving for Units digits of a number, ignore all other digits: 5^3 = 125 --> Keep the 5 7^2 = 49 --> Keep the 9 3^2 = 9 --> Keep the 9 5*9 = 45 (5 times the first 9) --> keep the 5 5*9 = 45 (second 5 times the second 9) --> keep the five, thats the answer Sufficient? C earns a base salary of \$30K plus 10% commision on sales exceeding \$50K. How much commision did she make? 1) If her total sales had been 25% higher, her commission would have been 20% higher Sufficient The statements give us two variables and two linear expressions. Thus, the variables can be solved for. c=0.1(r-50000) 1.2c=0.1(1.25r-50000) Sufficient? What is the units digit of 9^x? 1) X is a prime number Insufficient 9 raised to odd power have units digit of 9. 9 raised to even power have units digit of 1. 2 is a prime number (the only one). Answer could be 9 or 1. Insufficient. The price of a refridgerator is increased by 50%. Then it goes on sales, new price is 75% of the original price. The sale price is what percent of the increased price? 50% Original price is 100. 50% increase makes it 150. 75% of original is 75. 75 is what percent of 150? 75/150 = 50% The price of a television increased from \$180 to \$216. What is the percent increase in the price? 20% Percent Change is: Change/Original 216-180=36. 36/180 = 1/5 or 20% What percent of 1.5x10^7 is 4,500,000 30% Fraction reduces 45/150 = 30% or 10% of 15,000,000 is 1,500,000. 1,500,000*3 is 4,500,000 so answer = 30% ((57)(10^3)(0.001))/((10^4)(10^-2)) 0.57 Rewrite .001 as 10^-3. Combine terms on top and bottom: (10^3)(10^-3) = 10^0 = 1 (10^4)(10^-2) = 10^2 = 100 (57)(1)/100 = 0.57 Sufficient? The Combined revenue for a company for 2006 and 2007 was \$700K. What percent of the combined revenue was earned in 2006? 1) Revenue Dropped 25% from 2006 to 2007. Sufficent 2006 = X ; 2007 = Y X + Y = 700,000 0.75X = Y Two linear equations, two variables, thus sufficient. 21,267 is approximately what percent of 10^6? a) 0.2% b) 2% c) 20% b) 2% 10^6 = 1,000,000 1% is 10,000. 21,267 is ~ twice 10,000 so its ~ 2% of 10^6 Which of the following is closest to 23% of 41/60 of 240 rounded to the nearest integer? a) 24 b) 39 c) 52 d) 68 b) 39 41/60 ~ 40/60 = 2/3*240 = 160 23% ~ 25%. 25% of 160 is 40. Closest answer is 39. What is the units digit of (2^7)(7^4)(5^6) 0 Multiply the units of each result (use cyclitity of powers). 1*8*5 = 40