DAT Question of the Day

Correct Answer: D. 16.8 minutes

At a 50% reduced speed, the first program will take (6×100)/(100-50)=12 minutes to complete, and at a 40% reduced speed, the second program will take (12×100)/(100-40)=20 minutes to complete. However, if they are started together, the first program will be completed after the first 12 minutes, and the second program will run alone at the regular speed. In 12 minutes, only (12×100)/20=60% of the second program will be complete. For the remaining 40%, it will run at its full speed and take another (12×40)/100=4.8 minutes to complete. The total time required to finish both the programs is 12+4.8=16.8 minutes.

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Correct Answer: A. 11 AM

Let x be the number of hours it takes Jason to pass Mark. During this time, Jason travels 40x miles. Mark started an hour earlier, so he has driven for x+1 hours, during which he travels 30(x+1) miles. Therefore,

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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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