DAT Question of the Day

Correct Answer: B. X is divisible by B.

Given that X is a multiple of A, we know that X is always divisible by A. Following, if A is always divisible by B, then A must be a multiple of B. Thus, it logically follows that if A is divisible by B, and X is divisible by A, then X must be divisible by B.

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Correct Answer: C. 4.

After the first ball is picked, the second may not be the same color. After two balls picked, the third may still be a different color than the first two (since there are a total of 3 colors). But when the fourth ball is picked, it must match one of the prior colors. Therefore, picking 4 balls will ensure that you have at least one set of 2 balls with the same color.

The numbers 5, 7, 8 do not matter here (they could matter if these numbers were lower, or the number of balls picked were higher).

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Correct Answer: E. 250

If the marked price of the item is x dollars, the discounted price is:

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Correct Answer: B. 80.52

The volume of the rectangular tank is 82 × 37 × 75 cm³

If the height of the cylindrical tank is assumed to be h cm, then the cylinder’s volume is:

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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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