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15 May 2018, 22:41
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
67% (02:29) correct
33%
(02:09)
wrong
based on 309
sessions
History
Date
Time
Result
Not Attempted Yet
A, B, C, D, E are five distinct positive multiples of 10 such that A < B < C < D < E. These five numbers have a median of 110 and a range of 60. What is the value of E?
(1) A is not 90.
(2) E is not 140.
(1) A is not 90.
(2) E is not 140.
15 May 2018, 23:03
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Solution
Given:
• A, B, C, D, E are five distinct positive multiples of 10
• A < B < C < D < E
• Median of the 5 numbers = 110
• Range of the 5 numbers = 60
To find:
• The value of E
Approach and Working:
• Out of 5 given numbers, C is the middle number (either in ascending or descending order)
- o Therefore, the value of C = 110
• Similarly, if C is 110, minimum value of D must be 120 and therefore minimum value of E must be 130
• As the range is 60,
- o When A is 90, E must be 150
o When A is 80, E must be 140
o When A is 70, E must be 130
A can’t be less than 70, as E can’t be less than 130
Analysing Statement 1
• As per the information given in Statement 1, A is not 90
- o It means A can be either 80 or 70, similarly E can be either 140 or 130
Analysing Statement 2
• As per the information given in Statement 2, E is not 140
- o It means A can be either 90 or 70, as E can be either 150 or 130
Combining Both Statements
• Combining the information from both statements, we can write
- o E is not 140, from statement 2
o E is not 150, as from statement 1 A is not 90
Hence, the correct answer is Option C
Answer: C
02 Jun 2025, 23:15
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