DAT Question of the Day

Correct Answer: B. 3/8

There are 2⁴=16 different outcomes than can be observed from flipping a coin 4 times (e.g. HHHH, HHHT, HHTH, etc.), out of which only 6 arrangements contain exactly two heads. Therefore, the probability is 6 out of 16, i.e. 3/8.

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Correct Answer: D. 15.5

If the mean of 15, x, 17 and 12 is 15, then

If the four values are arranged in ascending order (a descending order will also work), we have,

For an odd number of values, the one right in the middle would be the median. In this case, there is an even number of values; so we take the mean of the two values in the middle, i.e. of 15 an 16, which is 15.5.

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Correct Answer: D. cos x (tan x * sin x + cos x)

This problem is solved through the use of trigonometric identities. It should be known that sin²x + cos²x = 1. Thus, we are looking for an answer that simplifies to that identity. Answers A and E are not correct because the square of the sum of sin x +/- cos x results in a sin x * cos x term. Thus, although they may seem initially correct, multiplying out the equation shows that it is not. In answer D, we first see that tan x = sinx/cosx. Thus, cosx * tanx = sinx, and cosx * tanx *sinx = sin²x. Thus, multiplying through the equation, we come to the correct identity of sin²x + cos²x = 1.

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Correct Answer: A. 1.11 x 10^-2

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Correct Answer: C. 16.1

1 mile equals 1.60934 km or roughly about 1.61 km which is 1610 meters. One hundredth of a mile is 16.1 meters.

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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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