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What is the value of v^3 - k^3 ? (1) vk > 0 (2) v - k = 6

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Bunuel
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What is the value of v^3 - k^3 ? (1) vk > 0 (2) v - k = 6 [#permalink] New post  22 Jul 2020, 03:38
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What is the value of v^3 - k^3 ?

(1) vk > 0
(2) v - k = 6
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Re: What is the value of v^3 - k^3 ? (1) vk > 0 (2) v - k = 6 [#permalink] New post  22 Jul 2020, 04:00
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To find : The value of v^3 - k^3 = ?

(1) vk > 0
V and K can be either positive or negative, ranging from 1 to infinity on both side of number line.
(insufficient)

(2) v - k = 6
There are many possible combination with the given equation to determine one possible answer.
(insufficient)

Combining both : let v and k are positive integers
7-1 = 6, 8-2 = 6, ......... there are many possible combinations as the case with negative integers.
(insufficient)

IMO E
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Re: What is the value of v^3 - k^3 ? (1) vk > 0 (2) v - k = 6 [#permalink] New post  22 Jul 2020, 06:12
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Bunuel wrote:
What is the value of v^3 - k^3 ?

(1) vk > 0
(2) v - k = 6

Project DS Butler Data Sufficiency (DS3)


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target value of v^3 - k^3
#1
vk > 0
i.e both v & k are either both + or -ve ; insufficient
#2
v-k=6
k can be -ve and v can be + or v is >k and both are +ve
insufficient
from 1 &2
both v&k are +ve but many values of v & k possible viz . ( 8,2) ; (10,4) ...
insufficient
OPTION E
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Re: What is the value of v^3 - k^3 ? (1) vk > 0 (2) v - k = 6 [#permalink] New post  22 Jul 2020, 08:55
Statement 1: Insufficient
Nothing about values of v or k.
Statement 2: Insufficient
Many possible values.
Combining, Insufficient
Still many possible values like v=10,12,14 and k=4,6,8

Hence, OA is (E).
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Re: What is the value of v^3 - k^3 ? (1) vk > 0 (2) v - k = 6 [#permalink] New post  22 Jul 2020, 09:15
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We need to find v^3-k^3.

Statements:

(1) vk>0

Both v and k are positive or both are negative. Doesn't tell anything about their value.

Insufficient

(2) v - k = 6
Again, there can be multiple possibilities.

Insufficient

Combining both statements is no better. We can have (7,1), (8,2), (9,3).

Insufficient

Hence, the answer is Option (E).
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Re: What is the value of v^3 - k^3 ? (1) vk > 0 (2) v - k = 6 [#permalink] New post  22 Jul 2020, 22:12
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What is the value of v^3 - k^3 ?

(1) vk > 0
(2) v - k = 6

Condition 1:
Case 1: v= 2, k=3 will give v^3-k^3 = -19
case2: v= 3 and k=2 will give v^3-k^3 = 19

Not sufficient.

Condition 2:
Case 1: v= 7, k=1 will give v^3-k^3 = 342
case2: v= 8 and k=2 will give v^3-k^3 = 504

Not sufficient.

On combining as well, we will not be getting unique answer, hence answer is E.
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Re: What is the value of v^3 - k^3 ? (1) vk > 0 (2) v - k = 6 [#permalink] New post  17 Jul 2022, 03:04
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Re: What is the value of v^3 - k^3 ? (1) vk > 0 (2) v - k = 6 [#permalink]
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