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Manhattan GMAT: Word Translations
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Terms in this set (24)
P is X percent of Q
P = x/100*q
Pay $10 per CD for the first 2 CDs, then $7 per additional CD
n = # of CDs bought
T = total amt. paid ($)
T = $10 x 2 + 7 x (n - 2) (assuming n > 2)
Kelly received 1/3 more votes than mike
Kelly received M + 1/3(M)
If Kelly received 1/3 more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates.
(A) 12 ; (B) 13; (C) 14; (D) 15; (E) 16
(C) 14
x/y < 1 and y > 0 then you know...
B/c y is positive you can multiple y: x < 1(y) --> x < y
x/y < y/x and x and y > 0 then you know...
x^2 < y^2
Is .4x > .3x? And you know x>0 then you know...
x's cancel out and the question is .4 > .3?
Taking the reciprocals and flipping the sign: x < y and x > 0; y > 0 then you know....
1/x > 1/y
Squaring inequalities: x > y and x > 0; y > 0 then you know....
x^2 < y^2
Multiplying two inequalities: x < y; z < w and x,y,z,w > 0 then you know....
xz < yw (you can multiple two inequalities but NOT divide them)
Squaring inequalities: x < y and x & y > 0 then you know....
x^2
Unsquaring and inequality: x < y and x&y > 0
sqrt(x) < sqrt (y)
It takes an elevator four seconds to go up one floor. How many floors will the elevator rise in two minutes?
1 floor/4 seconds or .24 floors/second (NOT 4 seconds per floor --> this is a frequent error)
Wendy walks 1 mile per hour more slowly than Maurice
Wendy --> r -1 miles per hour
Maurice --> r miles per hour
Car A and B are driving directly toward each other.
Car A --> a
Car B --> b
shrinking distance b/w a + b; If Car A is going 30 mph and Car B is going 40 mph, then the distance b/w them is shrinking at 70 mph.
Car A is chasing Car B and falling behind
Car A --> a mph
Car B --> b mph
growing distance between is a - b
Joey runs a race 30 seconds faster than Tommy
Joey --> t - 30
Tommy --> t
Sue left her office at the same time as Tara left her. They met some time later.
Sue --> t
Tara --> t
Sue and Tara left at the same time, but Sue arrived home 1 hour before Tara did.
Sue --> t -1
Tara --> t
Sue left the office 1 hour after Tara, but they met on the road.
Sue --> t - 1
Tara --> t
Car A and Car B start driving towards each other at the same time. Eventually they crash into each other. Or, Car A and B start driving away from each other at the same time.
A's distance = a mph x t hours
B's distance = b mph x t hours
A + B distance = a + b mph x t hours
(ADD) (ADD) (SAME)
Car A is chasing Car B. How long does it take for Car A to catch up to Car B?
A's distance = a mph x t
B's distance = b mph x t
A - B distance = a - b mph x t
dogs to cats is 2 to 3
x dogs to y cats = 2 dogs to 3 cats or x dogs/y cats = 2/3
Ratio of men to women in a room is 3 : 4. If there are 56 people in the room, how many of the people are men?
M men/W women = 3/4 and M + W = 56 OR
3x + 4x = 56
x = 8
M = 3 * 8 = 24
NEVER HAVE TWO UNKNOWN MULTIPLIERS IN A PROBLEM
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