The document provides instructions for a GMAT diagnostic test containing 4 math problems. Students are asked to time themselves solving each problem and showing their work. The problems cover ratios, word problems involving price changes, percentages, and exponential equations.
1. GMAT DIAGNOSTIC
Copyright: Mike Miagi: GMAT DOJO
INSTRUCTIONS:
The following diagnostic problems have appeared on actual GMAT exams.
They are taken from the GMAT Review, O cial Guide
Your objective is to solve them for time and to show your work. It is less im-
portant to get the right answer than it is to show your thought process. Do
not use an eraser.
You will also need a stopwatch. Set your stopwtach before each problem.
When finished, note the time in the space provided.
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2. SET YOUR STOPWATCH
1. In a certain calculus class, the ratio of the number of mathematics majors to the
number of students who are not mathematics majors is 2 to 5. If 2 more mathematics
majors were to enter the class, the ratio would be 1 to 2. How many students are in the
class?
(A) 10
(B) 12
(C) 21
(D) 28
(E) 35
TIME:
RESET YOUR STOPWATCH
2. A store currently charges the same price for each towel that it sells. If the current
price of each towel were to be increased by $1, a sum of $120 would buy 10 fewer of the
towels, excluding sales tax, than it does today. What is the current price of each towel?
(A) $1
(B) $2
(C) $3
(D) $4
(E) $12
TIME:
2
3. RESET YOUR STOPWATCH
3. If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x?
(A) 100m
(B)
1
100m
(C)
1
m
(D)
10
m
(E)
10,000
m
TIME:
RESET YOUR STOPWATCH
4. If
0.0015⇥10m
0.003⇥10k = 5 ⇥ 107, then m k =
(A) 9
(B) 8
(C) 7
(D) 6
(E) 5
TIME:
3