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Difficulty:
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Question Stats:
80% (01:17) correct
20%
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wrong
based on 79
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Q is a set of 7 integers. m and n are two of the numbers in Q. Excluding m and n, the largest integer in Q is 21 and the smallest integer is 1. What is the range of Q?
(1) m > n > 1
(2) n < m < 20
(1) m > n > 1
(2) n < m < 20
13 Apr 2021, 21:00
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Given: Q is a set of 7 integers. m and n are 2 of the numbers in Q. Excluding m and n, the largest integer in Q = 21 and the smallest integer = 1.
Range of Q =?
Statement 1:
m > n > 1
If m > 21 then range is m - 1, otherwise it is 21 - 1 = 20
Statement 1 is Not Sufficient,
Statement 2:
n < m < 20
If n < 1 then range is 21 - n, otherwise it is 21 - 1 = 20
Statement 2 is also Not Sufficient.
Statement 1 and Statement 2 combined:
1 < n < m < 20
Range = 21 - 1 = 20
Statement and Statement 2 together are Sufficient.
So, correct answer is option C.
Range of Q =?
Statement 1:
m > n > 1
If m > 21 then range is m - 1, otherwise it is 21 - 1 = 20
Statement 1 is Not Sufficient,
Statement 2:
n < m < 20
If n < 1 then range is 21 - n, otherwise it is 21 - 1 = 20
Statement 2 is also Not Sufficient.
Statement 1 and Statement 2 combined:
1 < n < m < 20
Range = 21 - 1 = 20
Statement and Statement 2 together are Sufficient.
So, correct answer is option C.
