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20 Jul 2019, 18:39
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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:
55%
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Question Stats:
57% (02:15) correct
43%
(02:19)
wrong
based on 76
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If n, w, x, y and z are different integers such that (n– w)(n – x)(n – y)(n – z) = 4. Which of the following can't be the value of difference between w and z?
A. -1
B. 1
C. 3
D. 4
E. 5
A. -1
B. 1
C. 3
D. 4
E. 5
20 Jul 2019, 21:19
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nick1816
If n, w, x, y and z are different integers such that (n– w)(n – x)(n – y)(n – z) = 4. Which of the following can't be the value of difference between w and z?
A. -1
B. 1
C. 3
D. 4
E. 5
A. -1
B. 1
C. 3
D. 4
E. 5
The only possible way of getting product 4 = -2 x -1 x 1 x 2
--> Possible arrangements of given integers can be as shown with the difference between successive integers = 1 unit on a number line with 'n' always at the center
Case 1: "w -- x -- n -- z -- y" Difference b/w "w & z" = 3 units
Case 2: "w -- x -- n -- y -- z" Difference b/w "w & z" = 4 units
Case 3: "x -- w -- n -- z -- y" Difference b/w "w & z" = 2 units
Case 4: "z -- w -- n -- x -- y" Difference b/w "w & z" = 1 units
Case 5: "w -- z -- n -- x -- y" Value of "w - z" = -1 units
So, the difference can never be 5 units between w & z
IMO Option E
However, Difference can never be negative also!!
So, Option 1 can also be the answer?
Pls Hit Kudos if you like the solution
20 Jul 2019, 21:22
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Dillesh4096
nick1816
If n, w, x, y and z are different integers such that (n– w)(n – x)(n – y)(n – z) = 4. Which of the following can't be the value of difference between w and z?
A. -1
B. 1
C. 3
D. 4
E. 5
A. -1
B. 1
C. 3
D. 4
E. 5
The only possible way of getting product 4 = -2 x -1 x 1 x 2
--> Possible arrangements of given integers can be as shown with the difference between successive integers = 1 unit on a number line with 'n' always at the center
Case 1: "w -- x -- n -- z -- y" Difference b/w "w & z" = 3 units
Case 2: "w -- x -- n -- y -- z" Difference b/w "w & z" = 4 units
Case 3: "x -- w -- n -- z -- y" Difference b/w "w & z" = 2 units
Case 4: "z -- w -- n -- x -- y" Difference b/w "w & z" = 1 units
Case 5: "w -- z -- n -- x -- y" Value of "w - z" = -1 units
So, the difference can never be 5 units between w & z
IMO Option E
However, Difference can never be negative also!!
So, Option 1 can also be the answer?
Pls Hit Kudos if you like the solution
Dillesh4096 the difference can be -1; if n-z = 1 and n-w = 2, then (n-z) - (n-w) = w-z = 1-2 = -1
