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26 Jan 2022, 06:45
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E
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Given that M and P are integers with unknown signs. Which of the following information can be used to determine the signs of M and P? For example the sign of -3 is negative, while the sign of 8 is positive.
I. |M| + |P| = |M+P|
II. |M-P| = |P-M|
III. |M|-|P| = |M-P|
A. I ONLY
B. II ONLY
C. I and III ONLY
D. I, II and III
E. The signs of the integers cannot be accurately determined from the information provided.
Are You Up For the Challenge: 700 Level Questions
I. |M| + |P| = |M+P|
II. |M-P| = |P-M|
III. |M|-|P| = |M-P|
A. I ONLY
B. II ONLY
C. I and III ONLY
D. I, II and III
E. The signs of the integers cannot be accurately determined from the information provided.
Are You Up For the Challenge: 700 Level Questions
30 Jan 2022, 06:38
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Given that M and P are integers with unknown signs.
Asked: Which of the following information can be used to determine the signs of M and P? For example the sign of -3 is negative, while the sign of 8 is positive.
I. |M| + |P| = |M+P|; signs of M & P are same; If M=3;P=2; |M| + |P| = 5 = |M+P| and if M=-3;P=-2; |M| + |P| = 5 = |M+P| But if M=3;P=-2; |M| + |P| = 5<> |M+P|
II. |M-P| = |P-M|; This statement is always true
III. |M|-|P| = |M-P|; If M=3;P=2; |M| - |P| = 1 = |M-P| and if M=-3;P=-2; |M| - |P| = 1 = |M-P| But if M=3;P=-2; |M| - |P| = 1 <> |M+-P| =5
A. I ONLY
B. II ONLY
C. I and III ONLY
D. I, II and III
E. The signs of the integers cannot be accurately determined from the information provided.
M & P can be both positive or can be both negative.
IMO E
Asked: Which of the following information can be used to determine the signs of M and P? For example the sign of -3 is negative, while the sign of 8 is positive.
I. |M| + |P| = |M+P|; signs of M & P are same; If M=3;P=2; |M| + |P| = 5 = |M+P| and if M=-3;P=-2; |M| + |P| = 5 = |M+P| But if M=3;P=-2; |M| + |P| = 5<> |M+P|
II. |M-P| = |P-M|; This statement is always true
III. |M|-|P| = |M-P|; If M=3;P=2; |M| - |P| = 1 = |M-P| and if M=-3;P=-2; |M| - |P| = 1 = |M-P| But if M=3;P=-2; |M| - |P| = 1 <> |M+-P| =5
A. I ONLY
B. II ONLY
C. I and III ONLY
D. I, II and III
E. The signs of the integers cannot be accurately determined from the information provided.
M & P can be both positive or can be both negative.
IMO E
26 Aug 2023, 03:17
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↧↧↧ Detailed Video Solution to the Problem ↧↧↧
M and P are integers with unknown signs and we need to find which of the following helps us in determining the sign of M and P
I. |M| + |P| = |M+P|
This will be true only when both M and P have the same sign.
Ex: M = 2 , P = 3 => |2| + |3| = |2+3| => 5 = 5
Ex: M = -2 , P = -3 => |-2| + |-3| = |-2-3| => 5 = 5
Ex: M = 2 , P = -3 => |2| + |-3| ≠ |2-3| => 5 ≠ 1
=> NOT SUFFICIENT as we know that both M and P have the same sign, but both can be positive or both can be negative also.
II. |M-P| = |P-M|
This is true for all values of M and P
As, |X| = |-X| and |M-P| = |-(M-P)|
=> NOT SUFFICIENT as M and P can have any sign.
III. |M|-|P| = |M-P|
This will be true only when both M and P have the same sign and |M| > |P| or M = P.
Ex: M = 3 , P = 2 => |3| - |2| = |3-2| => 1 = 1
Ex: M = -3 , P = -2 => |-3| - |-2| = |-3-(-2)| => 1 = 1
Ex: M = 2 , P = -3 => |2| - |-3| ≠ |2-(-3)| => -1 ≠ 5
=> NOT SUFFICIENT as we know that both M and P have the same sign, but both can be positive, both can be negative or both can be zero.
So, Answer will be E
Hope it helps!
Watch the following video to learn the Basics of Absolute Values
M and P are integers with unknown signs and we need to find which of the following helps us in determining the sign of M and P
I. |M| + |P| = |M+P|
This will be true only when both M and P have the same sign.
Ex: M = 2 , P = 3 => |2| + |3| = |2+3| => 5 = 5
Ex: M = -2 , P = -3 => |-2| + |-3| = |-2-3| => 5 = 5
Ex: M = 2 , P = -3 => |2| + |-3| ≠ |2-3| => 5 ≠ 1
=> NOT SUFFICIENT as we know that both M and P have the same sign, but both can be positive or both can be negative also.
II. |M-P| = |P-M|
This is true for all values of M and P
As, |X| = |-X| and |M-P| = |-(M-P)|
=> NOT SUFFICIENT as M and P can have any sign.
III. |M|-|P| = |M-P|
This will be true only when both M and P have the same sign and |M| > |P| or M = P.
Ex: M = 3 , P = 2 => |3| - |2| = |3-2| => 1 = 1
Ex: M = -3 , P = -2 => |-3| - |-2| = |-3-(-2)| => 1 = 1
Ex: M = 2 , P = -3 => |2| - |-3| ≠ |2-(-3)| => -1 ≠ 5
=> NOT SUFFICIENT as we know that both M and P have the same sign, but both can be positive, both can be negative or both can be zero.
So, Answer will be E
Hope it helps!
Watch the following video to learn the Basics of Absolute Values
