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GRE Question of the Day: Algebra

If ((t^2)-1)/(t-1)=2, then what value(s) may t have?
A) 1 only
B) -1 only
C) 1 or -1
D) no values
E) an infinite number of values

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Written by Take GRE Team on August 13th, 2008 with 80 comments.
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The best study material for scoring 1500 in GRE.

If ((t^2)-1)/(t-1)=2, then what value(s) may t have?

A) 1 only
B) -1 only
C) 1 or -1
D) no values
E) an infinite number of values

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GRE Question of the Day by Take GRE Team on August 13th, 2008 with 80 answers.
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80 Answers

Read the answer left by other GRE Takers below, or:

Get your own gravatar by visiting gravatar.com avinash
#1. June 26th, 2006, at 1:10 AM.

t cn hve only one value n tht is 0…

Get your own gravatar by visiting gravatar.com dhaval
#2. June 26th, 2006, at 9:07 AM.

answer shud be zero.

Get your own gravatar by visiting gravatar.com Take GRE Team
#3. July 6th, 2006, at 8:32 PM.

Dear Avinash and dhaval,
There was a typo. we rectified it. pls check question again. Sorry for inconvenience.

Get your own gravatar by visiting gravatar.com Rahul
#4. July 6th, 2006, at 9:02 PM.

‘t’ can have only one value i.e. +1, Hence i’ll go for option A)

Get your own gravatar by visiting gravatar.com neeths
#5. July 6th, 2006, at 9:48 PM.

A)

Get your own gravatar by visiting gravatar.com Gurleen
#6. July 6th, 2006, at 10:56 PM.

A

Get your own gravatar by visiting gravatar.com nutboltoo
#7. July 7th, 2006, at 1:16 AM.

AAA

Get your own gravatar by visiting gravatar.com GRE Tester
#8. July 7th, 2006, at 1:22 AM.

But if you put the 1 in th equation it does not satisfy.
So a can not be the answer.

Get your own gravatar by visiting gravatar.com nami
#9. July 7th, 2006, at 12:23 PM.

if we plug in -1 or 1 either the nr or dr turns out to be 0…choices a,b,c kicked out….
choice E…any infinite values doesnt satisfy the equation to be equal to 2
so according to my work out it has to be choice D..no values….
but i still dont understand even if the value of t is 0 we dont satisfy the equation to be equal to 2…..

can we have the answer……

Get your own gravatar by visiting gravatar.com nutboltoo
#10. July 7th, 2006, at 12:44 PM.

moderator………please help

Get your own gravatar by visiting gravatar.com Devesh
#11. July 7th, 2006, at 4:54 PM.

D is the ans
team confirm it plz

Get your own gravatar by visiting gravatar.com eswar
#12. July 7th, 2006, at 5:17 PM.

A is the answer..

Get your own gravatar by visiting gravatar.com Take GRE Team
#13. July 7th, 2006, at 5:21 PM.

Dear nutboltoo and Devesh,
This is a tricky question. We will let you correct answer with explanation. meantime just wait and watch for winner’s choice.

Get your own gravatar by visiting gravatar.com rakeshbusa
#14. July 7th, 2006, at 8:32 PM.

A

Get your own gravatar by visiting gravatar.com nami
#15. July 8th, 2006, at 10:50 AM.

team…can we have te answer

Get your own gravatar by visiting gravatar.com Take GRE Team
#16. July 8th, 2006, at 2:47 PM.

After factorisation we get t=1 but this does not satisfy the equation. We reach the conclusion that
A) 1 only
B) -1 only
C) 1 or -1
cannot be answer. So E also ruled out.

Correct answer is D.

Get your own gravatar by visiting gravatar.com John
#17. July 9th, 2006, at 5:07 AM.

a

Get your own gravatar by visiting gravatar.com John
#18. July 9th, 2006, at 5:08 AM.

oops

Get your own gravatar by visiting gravatar.com PRAVEENKUMAR VANAM
#19. July 9th, 2006, at 11:23 AM.

GOOD SIMPLE TRICKY QUESTION

Get your own gravatar by visiting gravatar.com veenit
#20. August 6th, 2006, at 6:59 PM.

a is answer explain ….t^2-2t+1….solve it ..u get t-1 =0 so 1 is ans

Get your own gravatar by visiting gravatar.com Take GRE Team
#21. August 6th, 2006, at 8:51 PM.

Dear veenit,
but that value does not satisfy the equation. So 1 can not be the answer.

Get your own gravatar by visiting gravatar.com GateKeepeR
#22. May 6th, 2007, at 6:19 PM.

To GRE Team

I think that the question is fundementally wrong since the soultion set of t does not satisfy the equation at all.

Get your own gravatar by visiting gravatar.com junaidali
#23. June 2nd, 2007, at 8:28 PM.

d

Get your own gravatar by visiting gravatar.com JKR
#24. June 7th, 2007, at 11:33 AM.

A

Get your own gravatar by visiting gravatar.com vikas_210
#25. June 15th, 2007, at 10:30 PM.

((t^2)-1)/(t-1)=2
=> (t^2)-1 = 2(t-1)
=> t^2 = 2t-2+1
=> t^2 = 2t -1
=> t^2 - 2t + 1
=> (t-1)^2 = 0
=> t=1

Get your own gravatar by visiting gravatar.com ankur
#26. June 16th, 2007, at 1:16 AM.

only 1 value 1 is possible since (t^2)-1 = (t+1)*(t-1) and since denominator has (t-1) that leaves us with left hand side term being t+1 which should be equal to 2 the (RHS) Therefore t=1
QED

Get your own gravatar by visiting gravatar.com Rishi
#27. June 23rd, 2007, at 9:50 PM.

((t^2)-1)/(t-1)=2
denominator is t-1 => t belongs to R - 1
=> (t+1)(t-1)/(t-1)=2
=> t + 1 = 2
=> t = 1 but t belongs to R - 1
therefore no values of t
ans:- D.

Get your own gravatar by visiting gravatar.com crafter202
#28. July 3rd, 2007, at 9:28 PM.

Good Question ..

yup , The Answer is “D” ..

Get your own gravatar by visiting gravatar.com Geetika
#29. July 16th, 2007, at 9:57 PM.

dear take gre team pls check the question coz according to factorization solving it should take one value n it is not satisfying the equation …….. check your question.

Get your own gravatar by visiting gravatar.com Take GRE Team
#30. July 17th, 2007, at 10:08 AM.

Dear Geetika,
This question is absolutely correct.

TakeGRE Team

Get your own gravatar by visiting gravatar.com abc
#31. July 17th, 2007, at 10:11 PM.

its A

Get your own gravatar by visiting gravatar.com Geetika
#32. July 19th, 2007, at 10:03 PM.

if question is right then d has to b the answer

Get your own gravatar by visiting gravatar.com jsdhjd
#33. July 20th, 2007, at 9:37 PM.

ans is A coz
(t-1)(t+1)/t-1=2
t+1=2
t=2-1
t=1
so ans is A

Get your own gravatar by visiting gravatar.com l8474545
#34. July 28th, 2007, at 4:29 PM.

d

Get your own gravatar by visiting gravatar.com deepthi
#35. July 31st, 2007, at 10:08 AM.

the main tip we should follow is BODMAS rule
i.e first solve bracket no :1 i.e (t^2-1)i.e t-1* t+1 then follow division so that t-1 cancels so left is t+1=2 so t=1
i think A is option…..

Get your own gravatar by visiting gravatar.com anyl
#36. July 31st, 2007, at 11:33 PM.

answer is D coz if t=1,t-1 will become zero

Get your own gravatar by visiting gravatar.com anyl
#37. July 31st, 2007, at 11:36 PM.

if we follow BODMAS we will get it as 1 but if 1 is substituted in the equation it should satisfy the value 2

Get your own gravatar by visiting gravatar.com amar
#38. August 13th, 2007, at 6:24 PM.

((t^2)-1)/(t-1)=2
t^2-1=2t-2
t^2-2t+1=0
t^2-t-t+1=0
(t(t-1)-(t-1))=0
(t-1)(t-1)=0
so we get….
t=1,1
therefore we have two roots

Get your own gravatar by visiting gravatar.com amar
#39. August 13th, 2007, at 6:27 PM.

((t^2)-1)/(t-1)=2
t^2-1=2t-2
t^2-2t+1=0
t^2-t-t+1=0
(t(t-1)-(t-1))=0
(t-1)(t-1)=0
so we get….
t=1,1
therefore we have two roots
anwser is c

Get your own gravatar by visiting gravatar.com MANAN SANGHVI
#40. August 20th, 2007, at 2:46 AM.

I SUPPOSE THE CORRECT ANS IS
“A”

Get your own gravatar by visiting gravatar.com Kranthi
#41. August 25th, 2007, at 2:48 PM.

A is xact answer

Get your own gravatar by visiting gravatar.com Dhairyashil
#42. August 26th, 2007, at 7:28 PM.

Hi……..
The ans must be [A]

Get your own gravatar by visiting gravatar.com venu mandepudi
#43. September 19th, 2007, at 5:04 PM.

answer is A
t can take only+1

Get your own gravatar by visiting gravatar.com guptarulz
#44. September 25th, 2007, at 3:20 PM.

A

Get your own gravatar by visiting gravatar.com priyamg
#45. October 11th, 2007, at 1:04 PM.

it would be ‘A’ so can u plz conform the answer?

Get your own gravatar by visiting gravatar.com max
#46. October 23rd, 2007, at 11:04 AM.

my answer: A

((t^2)-1) is (t+1)(t-1)

so we have (t+1)=2
hence t= 2-1
thus t=1

Get your own gravatar by visiting gravatar.com masoud
#47. October 23rd, 2007, at 3:37 PM.

if you solve the problem the answer is 1 BUT!!!!
you CAN NOT replace t by 1 because the denominator can not be 0
so the answer is D

Get your own gravatar by visiting gravatar.com Usaf
#48. November 3rd, 2007, at 10:53 AM.

its D …nothing else is right when place back in the equation

Get your own gravatar by visiting gravatar.com Bibek
#49. December 7th, 2007, at 12:14 AM.

D. Qd equation having same root (1 &1)is not possible

Get your own gravatar by visiting gravatar.com siri
#50. December 13th, 2007, at 8:42 PM.

i think the ans is a

Get your own gravatar by visiting gravatar.com sand
#51. December 22nd, 2007, at 3:47 PM.

d

Get your own gravatar by visiting gravatar.com HareRam
#52. December 27th, 2007, at 2:33 AM.

comon guys Its D

Get your own gravatar by visiting gravatar.com mitali dalvi
#53. January 13th, 2008, at 12:08 AM.

i think it’s a.

Get your own gravatar by visiting gravatar.com Deepali
#54. January 28th, 2008, at 9:55 PM.

Answer : A) 1 only.
(t^2 -1) / (t - 1 ) = 2
{ t^2 - 1^2 } / (t-1) = 2
{(t - 1) (t + 1)} / (t - 1 ) = 2
(t - 1 ) gets cancelled
(t + 1) = 2
therefore, t = 1.

Get your own gravatar by visiting gravatar.com Gursimran
#55. January 29th, 2008, at 2:41 PM.

D
as t=1 doesn’t satisfy the LHS of the equation

Get your own gravatar by visiting gravatar.com minesh
#56. January 29th, 2008, at 10:34 PM.

((t^2)-1)/(t-1)=2
t^2-1=2t-2
t^2-2t+1=0
t^2-t-t+1=0
(t(t-1)-(t-1))=0
(t-1)(t-1)=0
so we get….
t=1,1
so ans is A

Get your own gravatar by visiting gravatar.com feng
#57. January 30th, 2008, at 1:30 AM.

okay D,
if t=1 as most of you said, then you got divide by zero error!

Get your own gravatar by visiting gravatar.com samarth
#58. January 31st, 2008, at 1:52 AM.

A.1 only

Get your own gravatar by visiting gravatar.com yami
#59. February 5th, 2008, at 5:57 AM.

of course its d, the only correct would be t=1, but as denominator cannot be zero, d is the correct answer

Get your own gravatar by visiting gravatar.com ajay hulji
#60. February 10th, 2008, at 8:35 PM.

((t^2)-1)/(t-1)=2
(t^2)-1=2t-2
(t^2)-2t+1=0
then look at the eqn. it is of the form
(t-1)^2=0
hence,
t=1
so, the option A is the correct ans. guyz!

Get your own gravatar by visiting gravatar.com malini
#61. March 10th, 2008, at 3:52 PM.

t can take no values ….

(t^2-1)/(t-1)=2
t+1=2
t=1
resubstitute t=1 in the ques
(1-1)/(1-1)=0/0 (is this equal to 2?) this is undefined.
what do u mean by a root..it should satisfy the given eqaution..
so frds…’t’ cannot take any value.

Get your own gravatar by visiting gravatar.com Trainder
#62. March 13th, 2008, at 5:11 PM.

first time i try to calculate, i think T=1
and i bring it back…

Answer is D!

Get your own gravatar by visiting gravatar.com Bhargav@001
#63. March 13th, 2008, at 8:53 PM.

Hey I feel…
The absolute Question is t+1=2. so t=1 (A).
the Query has been masked by giving some other things..as..

(t^2-1)/t-1=2. t^2-1=(t+1)(t-1) isnt it guys?
So, no Question of substituting of t=1 in the denominator..
Am i ryt guys?

Get your own gravatar by visiting gravatar.com Rajaneesh
#64. May 7th, 2008, at 10:08 AM.

its dam sure ans is a

Get your own gravatar by visiting gravatar.com ibrahimfarouk
#65. May 10th, 2008, at 1:17 PM.

of course t has no value
the correct answer is D

Get your own gravatar by visiting gravatar.com neonave
#66. July 19th, 2008, at 12:12 PM.

ans definitely is D
the equation doesnt hold true for t=1 coz substituting t=1 u get LHS as illdefined,whereas RHS is 2……tht shud be the simplest explaination to prove tht 1 is not true…..
the moment t-1 comes to the denominator,equal to 2 dosnt exist any more.

Get your own gravatar by visiting gravatar.com vlakshmilavanya
#67. August 1st, 2008, at 7:47 PM.

Dear take GRE team
Can i know the final correct answer
even i hope that the answer id D
bcoz no other option suits the given equation

Get your own gravatar by visiting gravatar.com justforfun
#68. August 12th, 2008, at 4:17 PM.

1 is the answer
(t^2-1)/(t-1)=
(t-1)(t+1)/(t-1)=
(t+1)=2

hence t=1
Please dont substitue 1 in the equation, that is not logical

it ’s something like doing x=y because it is x*(x-x)=y(x-x) = x*0=y*0
0=0 hence x=y.. the argument does not hold.

Get your own gravatar by visiting gravatar.com justforfun
#69. August 12th, 2008, at 4:19 PM.

GRE TEAM the answer is A, and not D for the argument said above. Please dont mislead people

Get your own gravatar by visiting gravatar.com Karim Yehia
#70. August 13th, 2008, at 9:06 PM.

Hi all,
First I want to say that the “limit” of (t^2-1)/(t-1) as t approaches 1 is equal to 2. that doesnt mean that t^2-1/(t-1)=2 when t=1; becuse when t=1, the answer is 0/0 which is an indefinite number. The answer is D, there is no answer for such question.

Get your own gravatar by visiting gravatar.com Maddy
#71. August 13th, 2008, at 10:48 PM.

the answer is D..
if u argue that the answer is A. thats correct too (when u cross multiply)..
but put the same answer in the original equation, its 0/0 form which is not feasible.
so the one answer which everyone thinks it is, is actually wrong

Get your own gravatar by visiting gravatar.com Aswin
#72. August 13th, 2008, at 11:04 PM.

If the question is right accorind to GRE team then the answer has to be D because if t=1 it wont satisfy the equation as the overall value tends to infinty and if t=-1 the equation value becomes 0….for all other values of t=2,3,4,…etc we will get the value of equation greater than 2…..so the answer has to be D

Ans: D)

Get your own gravatar by visiting gravatar.com naive
#73. August 15th, 2008, at 7:14 AM.

Wow nice question :P thumbs up to the takegreteam for the effort, keep it up guys

Get your own gravatar by visiting gravatar.com Junaid
#74. August 15th, 2008, at 8:19 AM.

the correct answer is t=1

since the limit of the function is 0/0 , thats indeteminate meaning other than direct substitution, other method be used so that doesnt mean limit does not exist. using different techniques of llimit does exist.

Get your own gravatar by visiting gravatar.com henok
#75. August 16th, 2008, at 9:49 PM.

a simple algebraic manipulation give a fallacious answer A which when you substitute gives us an undefined number 0/0.

so,i think the correct choice is D

Get your own gravatar by visiting gravatar.com Balu
#76. August 17th, 2008, at 8:59 AM.

Goog subterfuge…

The ans should be D.(no ans)

Get your own gravatar by visiting gravatar.com charlee
#77. August 19th, 2008, at 8:27 AM.

Obviously “D” — no answer

Plug in -1 and 1, neither works since both result in 0. Must be no answer.

Get your own gravatar by visiting gravatar.com Chloe Keveryn
#78. August 25th, 2008, at 9:09 PM.

Why are you all trying to factor the the top of the fraction? Only if the “^2″ were on the outside of the parentheses would you factor… Thus, you simply plug in the values given, find that none of them work, and all answers except for “D” are eliminated. Simple Algebra I problem.

Get your own gravatar by visiting gravatar.com jyoti.chhibber
#79. September 13th, 2008, at 2:17 PM.

only one value thats 1

(t^2-1)/(t-1)
= (t-1)(t+1)/(t-1)
= t+1

if t+1=2
then t=1

Get your own gravatar by visiting gravatar.com jyoti.chhibber
#80. September 13th, 2008, at 2:18 PM.

but t can’t be 1 cz then expression tends to infinity..so the ans is D

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