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Gmat860sanskar
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Schools: ISB '27 INSEAD Aug '27 NUS '27
GMAT Focus 1: 615 Q83 V81 DI78
Posts: 309
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The Huffingdale All Boys School has produced a comprehensive set of 01 Jun 2026, 02:27
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KarishmaB

Question 2.

2. For each of the following statements, select Yes if the statement must be true of a boy selected at random from a model population. Otherwise, select No.

If he is in the third grade or above, the probability that his speed is faster than 10:50 is greater than 50%.

Look at TAB 1. He could be in 3rd, 4th or 5th grade. 10:50 is at exact 50 percentile in 3rd grade, but at more than 95 percentile in 4th and 5th grades. So if he is selected from third or higher grade, the probability that his speed is faster than 10:50 is greater than 50% for sure. It will lie between 50% and 95%.

Select YES

If he runs at least a 10 minute kilometer run (no slower), the probability that his height is up to 73cm is no greater than 5%.

Look at TAB 2. He runs a kilometer is 10 minutes or less time. At 10 minute i.e. 600 secs time, a height of 73 cm is at 5 percentile (on the green line). For any time less than 10 minutes, 73 cm will be an even lower percentile (perhaps 1 or 2). So the probability that his height is up to 73cm is no greater than 5%.

Select YES

If he runs an 8 minute kilometer run, he is faster than at least 95% of boys of his same grade level.

For 5th grade, 8 min lies between 15th and 50th percentile. Hence, it is not essential that he is faster than at least 95% of boys of his same grade level. It will not be true if he is in the 5th grade. For all other grades, this statement will hold.
But since we need the statement to hold for every grade, the statement is not correct.

Select NO
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I think 1st part of this question should be NO because the statement specifies "third grade or above", it must be true for all those grades.it could be exactly 50% of third graders run faster than 10:50, and 50% run slower. Therefore, for a third grader, the probability of being faster than 10:50 is not greater than 50% (it could be exactly 50%). Since it is not greater than 50% for a third-grade boy, the statement cannot be must true.
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