GMAT Math ?

GoingUp

Lifer
Jul 31, 2002
16,720
1
71
For all integers a and b, the operation # is defined as a # b = (?a + b)(b + a). If a = 2 and b = 5, then b # a =


?25

?21 <--answer

?7

21

25


I guessed 21. I dont understand how to interpret what b#a means. It could be + - / or *.

Someone clue me in please.
 

Anonemous

Diamond Member
May 19, 2003
7,361
1
71
? just plug in the numbers and chug.

b#a = (-b+a)(a+b)

if b =5 and a =2

(-5 +2)(2+5) = -3(7) = -21

"#" is not just a +,-,/,* it's a combination of those operations.
 

cchen

Diamond Member
Oct 12, 1999
6,062
0
76
5 #2 = (-5 + 2)(5 + 2) = (-3)(7) = -21

are you seriously considering b-school??
 

DingDingDao

Diamond Member
Jun 9, 2004
3,044
0
71
:laugh:

*pulls up chair and grabs popcorn*

The ensuing flamefest should be good for this one...
 

Originally posted by: Anonemous
? just plug in the numbers and chug.

b#a = (-b+a)(a+b)

if b =5 and a =2

(-5 +2)(2+5) = -3(7) = -21

"#" is not just a +,-,/,* it's a combination of those operations.
Yeah, that! This is an application of abstract algebra. You use the definition given and replace the letters.

P.S. Couldn't you have just continued your questions in your already existing thread? :confused:

P.P.S. Let me explain a bit: So if they asked you for the value of g#x, you would go g#x = (-g+x)(x+g). Of course technically they would be required to define the set of values (i.e., field of numbers) we are working with.
 

mitaiwan82

Platinum Member
Nov 29, 2000
2,209
0
0
Originally posted by: Gobadgrs
For all integers a and b, the operation # is defined as a # b = (?a + b)(b + a). If a = 2 and b = 5, then b # a =


?25

?21 <--answer

?7

21

25


I guessed 21. I dont understand how to interpret what b#a means. It could be + - / or *.

Someone clue me in please.


damn trick question...the definition is a # b, but they ask for b # a :frown:
 

GoingUp

Lifer
Jul 31, 2002
16,720
1
71
im quite capable of calculating (-2+5)(5+2) = 21. I was confused if they wanted us to flip the whole equation around or just change what was being substituted. All I thought the equation would change to would be (5+2)(-2+5)
 

amoeba

Diamond Member
Aug 7, 2003
3,162
1
0
Its illustrating the use of different things as operator.

In this instance, the # is defined as an operator with the function of (a+b) (-a + b)

if you really want to be fancy you can change (a+b) (-a + b) to (b-a) (b+ a ) = b^2 -a^2
 

Kyteland

Diamond Member
Dec 30, 2002
5,747
1
81
Originally posted by: Gobadgrs
For all integers a and b, the operation # is defined as a # b = (?a + b)(b + a). If x= 5 and y =2, then x # y = ?

Edited to remove trickyness.
Originally posted by: Gobadgrs
im quite capable of calculating (-2+5)(5+2) = 21. I was confused if they wanted us to flip the whole equation around or just change what was being substituted. All I thought the equation would change to would be (5+2)(-2+5)
You seem to be confused by that fact that they are using the same variable names to mean different things.

1) a # b = (?a + b)(b + a).
2) If a = 2 and b = 5, then b # a =

The variables a&b in 1) are not the same as the variables a&b in 2). a1=b2 and b1=a2.

2) is asking you to calculate b#a = 5#2 = (-5+2)(2+5) = (-3)(7) = -21
 

Originally posted by: Gobadgrs
im quite capable of calculating (-2+5)(5+2) = 21. I was confused if they wanted us to flip the whole equation around or just change what was being substituted. All I thought the equation would change to would be (5+2)(-2+5)
Think of it this way, if they told you:

A#B = A/B

What would you think if they asked you what B#A would be? Would you immediately think of division? Like A=2 and B =3, so 2#3 = 2/3; hence 3#2 = 3/2? No?