DAT Question of the Day

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: 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: 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: 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: 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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Correct Answer: B. 5 to 3

If 3 out of every 8 people are women, then the remaining 5 are men. So the ratio of men to women is 5 to 3.

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Correct Answer: C. 68%

This question doesn’t require any calculation, but rather knowledge of the standard deviation sets. Typically, about 68% is included in the first standard deviation, and 95% is included in the 2nd standard deviation. 99.5% of all people fall within three standard deviations of the mean in the normal curve.

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Correct Answer: A. 5:4

We need to figure out which numbers are primes and which ones are composite. The following shows primes in blue and composites in red: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Note that 1 is neither prime nor composite, it only has one factor. We have 5 reds and 4 blues. The correct answer is A.

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