DAT Question of the Day

Correct Answer: C. 6 x 10⁷

2.4 x 10^-6 x (5 x 10⁶)² = 2.4 x 10^-6 x 25 x 10¹² = 60 x 10^12-6 = 6 x 10⁷

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Correct Answer: B. 10⁸

This can be solved using ratios and exponential properties.

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Correct Answer: A. 15.925

We know the small box has side lengths 7. Now we are half way there, all we need to find is the height. The main diagonal has a slope of 13/20. Using this slope we are able to determine that the height is 4.55.

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Correct Answer: B. 100 pounds.

A metric ton is 1000kg, or 2100 lbs. An English ton is 2000 lbs. Thus, the metric ton weighs 100 lbs more than the English ton.

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Correct Answer: B. -4

This can be solved as a system of linear equations. It should be noticed that the two equations can be added to eliminate the x. Thus, 7y = 14, resulting in an answer of y = 2. Substituting this answer into the first equations gives us 8 + 6x = 26. Solving for x we find that x = 18/6, or 3. Thus, y = 2 and x = 3. Now we substitute these values into the last equation, to find that 6 – 10 = -4, which is answer B.

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Correct Answer: D. 81

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Correct Answer: D. Logarithmic

First we need to decide if the function is increasing or decreasing. Although the data shows an increasing trend, we are not allowed to eliminate any of the answer choices. Now let’s see how it’s increasing. Judging from the huge jumps in percent over the short time in the beginning we can rule out Linear and S-curve, as those functions do not rapidly increase. Finally let’s look towards the end of the data. It appears to be converging to 95. This allows us to rule out the exponential and the quadratic, as these functions continue off towards infinity or zero (if its exponentially decreasing). This leaves us with choice D.

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Correct Answer: A. The area of the triangle is greater than 3000

This problem is solved through drawing a picture. We know the angle separating these two sides, and upon drawing it, it is recognized that the triangle is a 30-60-90 triangle, with side lengths of 60, 120, and 60√3. Thus, the height is 60√3, the base is 60, and the hypotenuse is 120. Using the formula for area of a triangle, we see that (60*60√3)/2 should be greater than 3000. You’ll have a calculator on the DAT, but the trick to scoring high on the QR section is minimizing the need of a calculator.

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