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A number line is divided by 10 evenly spaced tick marks. The length be
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07 Jan 2023, 04:31
07 Jan 2023, 04:31
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Question Stats:
33% (01:39) correct
66% (01:50) wrong based on 21 sessions
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A number line is divided by 10 evenly spaced tick marks. The length between each tick mark equals p, and p is a prime number.
Indicate all the possible lengths of the number line described above:
A. 10
B. 18
C. 22
D. 24
E. 27
F. 30
G. 36
H. 117
I. 130
Indicate all the possible lengths of the number line described above:
A. 10
B. 18
C. 22
D. 24
E. 27
F. 30
G. 36
H. 117
I. 130
Re: A number line is divided by 10 evenly spaced tick marks. The length be
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05 Feb 2023, 10:25
05 Feb 2023, 10:25
Expert Reply
OE
The question stem indicates that the number line described must include 10 tick marks. Thus, there must be exactly nine intervals (always one fewer interval between tick marks than tick marks themselves (see diagram below, starting at some constant c and ending in c + 9p). Therefore, the correct answer must be nine times a prime number, since p is prime and there are nine intervals. Choice (B) = 2 × 9, choice (E) = 3 × 9, and (H) = 13 × 9. Because 2, 3, and 13 are all prime numbers, those answers are correct. All other answer choices are not multiples of 9, except for (G), which is 4 × 9, and 4 is not prime.
GRE number line (6).jpg [ 26.75 KiB | Viewed 1369 times ]
The question stem indicates that the number line described must include 10 tick marks. Thus, there must be exactly nine intervals (always one fewer interval between tick marks than tick marks themselves (see diagram below, starting at some constant c and ending in c + 9p). Therefore, the correct answer must be nine times a prime number, since p is prime and there are nine intervals. Choice (B) = 2 × 9, choice (E) = 3 × 9, and (H) = 13 × 9. Because 2, 3, and 13 are all prime numbers, those answers are correct. All other answer choices are not multiples of 9, except for (G), which is 4 × 9, and 4 is not prime.
Attachment:
GRE number line (6).jpg [ 26.75 KiB | Viewed 1369 times ]
Re: A number line is divided by 10 evenly spaced tick marks. The length be
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12 Jul 2024, 14:12
12 Jul 2024, 14:12
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