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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