Patronus wrote:
Hi
VeritasPrepKarishma,
I used the following approach and marked E as the answer:
Statement 1) If any single value in the list is increased by 1, the number of different values in the list does not change. Here, I used 2 sample Sets:
A = {10,2,3};# of different values = 3
B = {10,2,2};# of different values = 2
Option 1: A(+1) = {11,2,3}; # of different values = 3
Option 2: A(+1) = {10,3,3}; # of different values = 2 Discarded because does not satisfy the condition of different values
Option 2: A(+1) = {10,2,4};# of different values = 3
Are the numbers consecutive? YES.
But before I say, 1) is sufficient, I went to Set B.
Option 1: B(+1) = {11,2,2}; # of different values = 2
Option 2: B(+1) = {10,2,3}; # of different values = 3; Discarded because does not satisfy the condition of different values
Are the numbers consecutive? NO.
Therefore, Insufficient.
Statement 2: At least one value occurs more than once in the list. Set B = {10,2,2} satisfies the condition here, so I took that. But it does not have 2 consecutive integers. So, the answer to the question is NO.
and also, C = {10, 2,2,3,3}. It has 2 consecutive integers. So, YES.
Insufficient
Statement 1) and 2) together:
B = {10,2,2}; # of different values = 2
And, B(+1) = {11,2,2}; # of different values = 2
Are the numbers consecutive? NO.
C = {10, 2,2,3,3}; # of different values = 3
C (+1) = {11,2,2,3,3}; # of different values = 3
Are the numbers consecutive? YES.
Still insufficient.
Please explain where did I go wrong? Thanks.
Note statement 1:
If any single value in the list is increased by 1, the number of different values in the list does not change.
No matter which single value you increase by 1, the number of different values in the list will not change.
So if you have a set (10, 2, 4) - 3 distinct values, No consecutive numbers
Increase 10 by 1, you get (11, 2, 4) - 3 distinct values
Increase 2 by 1, you get (10, 3, 4) - 3 distinct values
Increase 4 by 1, you get (10, 2, 5) - 3 distinct values
Satisfies.
So if you have a set (10, 2, 2, 3) - 3 distinct values, Consecutive numbers
Increase 10 by 1, you get (11, 2, 2, 3) - 3 distinct values
Increase either 2 by 1, you get (10, 2, 3, 3) - 3 distinct values
Increase 3 by 1, you get (10, 2, 2, 4) - 3 distinct values
Satisfies.
Statement 1 is not sufficient because the set may or may not have consecutive numbers. Both type of sets could satisfy the condition that number of distinct values always remains the same.
This is how you check which set does or does not satisfy our condition.
_________________
Karishma
Veritas Prep GMAT Instructor
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