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