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09 Nov 2023, 02:31
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
36% (01:48) correct
64%
(01:46)
wrong
based on 59
sessions
History
Date
Time
Result
Not Attempted Yet
Is the value of (a – b)(c – a)(d – a) > 0 ?
(1) a, b, c, and d are consecutive even integers.
(2) The average of a, b, c and d is 7.
(1) a, b, c, and d are consecutive even integers.
(2) The average of a, b, c and d is 7.
11 Nov 2023, 01:19
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Bunuel
Note :
Consecutive does not necessarily mean ascending order i.e.\(2,4,6\) and \(8\)
Consecutive could also mean descending order i.e. \(8,6,4\) and \(2 \)
(1) a, b, c, and d are consecutive even integers.
Let \(a,b,c\) and \(d\) be \(= 2,4,6\) and \(8\) respectively then we have a NO.
Let \(a,b,c\) and \(d\) be \(= 8,6,4\) and \(2\) respectively then we have a YES
INSUFF.
(2) The average of a, b, c and d is 7.
Taking hint from statement (1) I tried to see if four consecutive even integers add up to \(28.\)
Indeed \(4, 6 , 8\) and \(10\) add up to \(28\)
Again using same logic as used in processing statement (1):
Let \( a,b,c\) and \(d\) be \(= 4,6,8\) and \(10\) respectively then we have a NO.
Let \( a,b,c\) and \(d\) be \(= 10,8,6\) and \(4\) respectively then we have a YES.
INSUFF.
1+2
Let \(a,b,c\) and \(d\) be \(= 4,6,8\) and \(10\) respectively then we have a NO.
Let \(a,b,c\) and \(d\) be \(= 10,8,6\) and \(4 \) respectively then we have a YES
INSUFF.
Ans E
Hope it helped.
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