Question 1
A student simplifies the expression (x^2 - 16)/(x - 4) to x + 4. Which statement correctly describes the two expressions?
Show answer & explanation
Correct answer: C - They are equal for every real x except x = 4.
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The DAT-ADA exam has 40 questions and runs 45 minutes.
A student simplifies the expression (x^2 - 16)/(x - 4) to x + 4. Which statement correctly describes the two expressions?
Correct answer: C - They are equal for every real x except x = 4.
An instrument reading x is accepted only when its distance from the target value 12 is at least 3 units and at most 7 units. Which set of readings is accepted?
Correct answer: D - 5 <= x <= 9 or 15 <= x <= 19
Without evaluating either power directly, determine which value is larger: 9^7 or 27^4.
Correct answer: A - 9^7 is larger.
The ratio A:B is 3:4, and the ratio B:C is 8:5. Complete the combined ratio A:B:C.
Correct answer: B - 6:8:5
A line crosses the x-axis at 6 and the y-axis at 3. The equation of the line is:
Correct answer: D - x + 2y = 6
An admissions workshop compared two study methods. Among first-time participants, 9 of 10 using Method A and 80 of 100 using Method B met the time target. Among repeat participants, 30 of 100 using Method A and 2 of 10 using Method B met it. Which conclusion is supported?
Correct answer: C - Method A is higher within both groups, but Method B is higher overall.
Positive integers x and y satisfy xy = 72 and x < y. What is x? I. y - x = 1 II. x + y = 18 Which statement about sufficiency is correct?
Correct answer: C - Either statement alone is sufficient.
A linear model's residuals are mostly positive for small x, mostly negative for middle x, and mostly positive again for large x. The residual pattern most strongly indicates that:
Correct answer: B - the data contain curvature not captured by the line.
Positive real numbers a and b satisfy a + b = 1. Quantity A: a^2 + b^2 Quantity B: 1/2 Select the correct relationship.
Correct answer: D - The relationship varies among permitted pairs.
A box contains 4 blue, 3 green, and 2 red tokens. Two tokens are selected at random without replacement. Given that at least one selected token is red, what is the probability that both are red?
Correct answer: B - 1/15
The Dental Admission Test Quantitative Reasoning (DAT-ADA) (DAT-ADA) exam is organized into 2 knowledge domains. These free practice questions are drawn from across them so you can see where you're strong and where to study:
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