DAT Question of the Day

Correct Answer: B. $112

Since the ratio is 4:3:7, we can assume that the amounts received by John, Jack and Jason are 4x,3x and 7x, rescpectively. Since Jason received $32 more than Jack,

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Correct Answer: C. 0 to 55 mph in 3.5 seconds

This can be solved using the formulas of kinetics, but may require some time. However, there is an easier way of solving this. A uniform acceleration implies that the speed increases linearly. So, at the end of the first second, the speed for the first car will be simply 60 / 4 = 15 mph, which is the same for the answer choices B and D as well. The speed after 1 sec for choice C is higher than 15 mph, and that for E is lower than 15 mph. So, the car in C has the highest speed after 1 sec. Since its average speed over this 1 sec period is higher than the rest of the cars, it must have traveled more distance than the others during this period as well.

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Correct Answer: C. 23

100 meters = 0.1 km = 0.1 × 0.62 = 0.062 miles, and 9.7 seconds = 9.7/3600 hours.

Therefore, speed = 0.062 / (9.7/3600) = 23 miles per hour.

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Correct Answer: A. 8! / 5!

If this was about choosing 3 people out of a group of 8 (where the order of the three people didn’t matter), the answer would have been:

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Correct Answer: C. 30 seconds

The speed at which the two trains are closing the gap between them is 10 + 20 = 30 mph. At the is speed, it will take (0.25/30) × 3600 = 30 seconds to close a gap of 0.25 miles.

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Correct Answer: C. 350

2 men can be picked from a group of 5 in (5|2) = 10 different ways, and 3 women can be picked from a group of 7 in (7|3) = 35 different ways. Therefore, the total number of ways a team can be formed is 10 × 35 = 350.

Extended explanation: If you got D. 4200, you interpreted this problem as a permutation, not as a combination. We do not care what order the men are picked in or what order the women are picked in, all we care is that there is a team of 2 men and a team of 3 women.

Permutation equation:

Combination equation:

Where n = total number of the group and r = the number of people we want. Hence,

n = 5 men
r = 2 men

We have 10 total possible combinations using the above formula.

The same goes for women.

n = 7 women
r = 3 women

We have 35 total possible combinations using the above formula.

Multiplied together, we have 350 possible combinations.

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Correct Answer: D. 40

If the sum of the four son’s ages is x at present, the father’s age is 2x. In 30 years, the total of the son’s ages will be x+4×30=x+120, whereas the father’s age will be 2x+30. Therefore, x+120=2(2x+30), which yields x=20, and hence, the father’s age at present is 2x=40.

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Correct Answer: D. 2 * 10³

To get into scientific notation, we need to move the decimal point appropriately such that only one digit remains. Sliding it to the left 3 places yields a 10 raised to the third power. The correct choice is [D].

Someone asked me if the real DAT will have questions as easy as this. There are several versions of the DAT, each with a mix of easy to hard questions on varying topics. So yes, the real DAT will have easy questions like this, and you should be prepared for the simple stuff too to maximize your score.

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Correct Answer: A. 5’8”

Convert these heights to inches, which are 68”, 62” and 74”, respectively; then take their average, which is 68”, and convert back to 5’8”.

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Correct Answer: C. (13×12)/(52×51)

The number of ways 2 cards can be chosen from 52 is (52¦2) = (52×51) / 2, and the number of ways 2 cards can be picked from 13 diamonds is (13¦2) = (13×12) / 2. The ratio of the latter to the former is the required probability.

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