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# Is (a + b) < (c + d)? (1) c and d are negative integers such that

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Manager
Status: The journey is always more beautiful than the destination
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GMAT 1: 570 Q40 V28
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Is (a + b) < (c + d)? (1) c and d are negative integers such that  [#permalink]

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Updated on: 09 Apr 2018, 03:40
1
3
00:00

Difficulty:

65% (hard)

Question Stats:

48% (01:44) correct 52% (02:08) wrong based on 43 sessions

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Is (a + b) < (c + d)?

(1) c and d are negative integers such that $$(a + b)^3-(c + d)^3 = 0$$.

(2) a and b are positive integers such that $$(a + b)^2-(c + d)^2 = 0$$.

source: Time4education

_________________

Sky is the limit. 800 is the limit.

Originally posted by Nixondutta on 08 Apr 2018, 22:45.
Last edited by amanvermagmat on 09 Apr 2018, 03:40, edited 2 times in total.
Edited the question.
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Re: Is (a + b) < (c + d)? (1) c and d are negative integers such that  [#permalink]

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08 Apr 2018, 23:59
1
Nixondutta wrote:
Is (a + b) < (c + d)?
source: Time4education

(1) c and d are negative integers such that $$(a + b)^3$$ - $$(c + d)^3$$ = 0.
(2) a and b are positive integers such that $$(a + b)^2$$ - $$(c + d)^2$$ = 0.

From 1: a+b=c+d

sufficient

From 2: a+b=c+d

sufficient

hence D
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Re: Is (a + b) < (c + d)? (1) c and d are negative integers such that  [#permalink]

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09 Apr 2018, 02:49
Statement (1) - (a+b)^3 = (c+d)^3
Thus, (a+b) = (c+d).

Sufficient.

Statement (2) - (a+b)^2 = (c+d)^2
+/- (a+b) = +/- (c+d)

Thus, one may be positive and other may be negative and vice versa, at the same time. Otherwise both may be positive and equal.
Thus, insufficient.

Hence option A.

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Re: Is (a + b) < (c + d)? (1) c and d are negative integers such that  [#permalink]

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09 Apr 2018, 03:08
2
SonalSinha803 wrote:
Statement (1) - (a+b)^3 = (c+d)^3
Thus, (a+b) = (c+d).

Sufficient.

Statement (2) - (a+b)^2 = (c+d)^2
+/- (a+b) = +/- (c+d)

Thus, one may be positive and other may be negative and vice versa, at the same time. Otherwise both may be positive and equal.
Thus, insufficient.

Hence option A.

Sent from my Lenovo K53a48 using GMAT Club Forum mobile app

From option b it is given that a+b>0. so,

either a+b>c+d or a+b=c+d

a+b<c+d is not possible. hence sufficient
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Re: Is (a + b) < (c + d)? (1) c and d are negative integers such that  [#permalink]

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09 Apr 2018, 04:39
Nixondutta wrote:
Is (a + b) < (c + d)?

(1) c and d are negative integers such that $$(a + b)^3-(c + d)^3 = 0$$.

(2) a and b are positive integers such that $$(a + b)^2-(c + d)^2 = 0$$.

source: Time4education

we don't know the individual values of a,b,c,d. we are to find out the greater one between a+b and c+d

statement 1: we are given that (a+b)^3 - (c+d)^3=0

(a+b)^3=(c+d)^3
remove the exponents as both are same. we get a+c = c+d. sufficient as c+d is not greater than a+b.

statement 2 is the same as statement 1.

thus both statement are individually sufficient. Answer will be D.
Re: Is (a + b) < (c + d)? (1) c and d are negative integers such that &nbs [#permalink] 09 Apr 2018, 04:39
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# Is (a + b) < (c + d)? (1) c and d are negative integers such that

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