Micro Test
Our Micro Test consists of 5 Quantitative (Mathematics) questions and 5 Verbal (English) questions. You have 15 minutes for this test. We provide score estimates for micro tests.
1 / 10
Category: Quant
1. A roller coaster park offers two types of passes. Pass A costs $100 and entitles its holder up to 10 rides at no extra cost, and every ride in excess of 10 at a cost of $5 per ride. Pass B costs $10 and entitles its holder to one ride at no cost and each extra ride for $9. What is the least number of rides taken that would make Pass A a better deal than Pass B?
: Let the least number of rides taken to make Pass A better than Pass B be x
This means that the total cost using Pass A should be less than the total cost using Pass B for x rides.
Forming equation:
Cost for Pass A: 100$ + (x-10)*5 [fixed cost of 100$ and 5$ per ride for rides in excess of 10]
Cost for Pass B: 10$ + (x-1)*9 [fixed cost of 100$ and 5$ per ride for rides in excess of 10]
Now, cost of Pass A should be less than cost of Pass B
100$ + (x-10)*5 < 10$ + (x-1)*9
2 / 10
2. John has 3 solutions: a 12% saline solution, a 8% vinegar solution, and a 15% alcohol solution. He mixes 3 liters of the alcohol solution with 3 liters of the vinegar solution. What is the minimum amount of the saline solution he must add if the resulting mixture must be at least 2% saline solution?
Let n be the amount of Saline Solution,
thus: 0.12n/(n + 6) = 0.02
i.e: 0.12n = 0.02n + 0.12
i.e: 0.1n = 0.12
i.e. n = 1.2
3 / 10
3. In a certain mixture of juice and water, if only water was added to the mixture, how much water was added to the mixture if initial volume of water is 38 lt? Â After adding water, water made up fifteen percent of the mixture. Before adding water, water made up ten percent of the mixture
Let V be the initial volume of mixture in Lt, then volume of water is 0.1V and volume of juice is 0.9V
If Y lt of water is added, 0.1V + y = .15 (V +Y)
=> .05 V = .85 Y
=>y=V/19 Substituting V= 38 lt , we get y= 2lt.
4 / 10
4. Sprinter A and Sprinter B are running the 100 yard dash in opposite directions. Sprinter A is starting at the finish line for Sprinter B and Sprinter B is starting at the finish line for Sprinter A. Assuming that speeds of both sprinters are equal and A starts 3 sec after B starts, for how much time did A ran? Both sprinters crossed each other at a distance of 40 yards from A.
We need to find speed of both sprinters to know who runs 100 yards faster.
Let time taken by B is t , then time taken by A is t-3.
Since, they meet at a distance of 40 yards from A.
Speed of A, Va= 40/(t-3) and
Speed of B, Vb=60/t
Since, Va= Vb , 40/(t-3) = 60/t
=> Â 2t = 3t -9
=> t = 9 sec
Time for which A ran = t-3 = 6 sec.
5 / 10
5. A school must raise exactly $2,500 over the next year by investing $30,000 in stocks, which yield 9% annual interest, and bonds, which yield 8% annual interest. If the school wants to invest as much as possible in stocks, then how much should the school invest in stocks?
We know, S.I. = PRT/100
So, 9x/100 + (30000-x)*8/100 = 2500 and solve for x i.e. x=10000.
Short cut: Work though options. . Put answer choices in above equation and solve.
6 / 10
Category: Verbal
6. Brick houses may evoke nostalgia for the stolid and serene times of another age, but homeowners concerned about heating and maintenance costs often mention that brick houses cost as much as twice to maintain than prefabricated houses do.
Chunk and Compare:
Compare A, C, D, and E. One difference is the use of double in D and B. As much as double means up to 2 times, while twice as much as means exactly 2 times. Eliminate D and B.
The difference between A, C and E is that A uses ‘as much, than’, which is an incorrect idiom. Eliminate A. Compare the remaining choices C and E. The difference is that E compares "maintaining brick houses cost" to "maintaining prefabricated houses" which isn't a parallel comparison, Choice C correctly compares "brick houses costs" to "prefabricated houses do" Eliminate E
7 / 10
7. Like many members of other liminal societies, Mexican-Americans live in two worlds;Â born in the US and raised in American culture, they also learn and appreciate Mexican tradition
Spot:Â Look for comparative triggers. The sentence begins with like and compares Mexican-Americans with members of society.
Step Two:Â Check the Rule and Decide on a Fix A comparison must be of two similar things and must be balanced parallel. Look for Mexican-Americans and members of society to both be plural.
Step Three:Â Process of Elimination All choices have both as plurals.
8 / 10
8. Biologists at University of Michigan discovered a micro-organism, one that they believe it to be a type previously unknown to science.
Look for other rules:
Idiomatic triggers indicate that idioms are being tested. The common idiomatic trigger "believe" indicates whats being tested. You must memorize your idioms. Believe should be followed by "to be".
Eliminate B, D, and E.
Compare A to C.
A includes the pronoun "it" while C does not. Since the pronoun "one" is used there is no need for "it."
9 / 10
9. The latest reports from the local economist board estimate that the annual cost of rebuilding homes destroyed by arson is approaching 15 million dollars a year in our community alone.
POE:Â
None of A, D or E properly complete the idiom.
Compare B to C.
The only difference between B and C is the use of "that", since there is no need to use that choose B.
10 / 10
10. Zoologists are conducting tests to see whether chimpanzees can be trained to help see for the visually impaired
Chunk and Compare: A versus B to help see versus as help to see B has an unnecessary and incorrect as, Eliminate B A versus C to help see versus for helping to see helping to see isn’t correct, help to see is the correct form of the infinitive, Eliminate C.
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