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In the table above, the symbol -- means the expression in the respec 18 May 2022, 06:00
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In the table above, the symbol “--” means the expression in the respective cell is not known. What is the sum of the diagonal elements from the top left through the bottom right in the table ?

(1) The sum of the elements in each row is the same.

(2) The sum of the elements in each column is the same.



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In the table above, the symbol -- means the expression in the respec 05 Jun 2022, 03:15
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We need to find sum of the diagonal elements from the top left through the bottom right in the table
= 1 + 2x + y

(1) The sum of the elements in each row is the same.
=> (sum of first row) 1 + 2x + y = (sum of third row) x+2y+3 = 10
With statement (1) we are able to identify the required sum = 10

Hence, statement 1 alone is sufficient.

(2) The sum of the elements in each column is the same.
=> (sum of first column) 2x+y+1 = (sum of second column) 3x+3 = (sum of third column) x+2y+ --
But, we do not know a exact number that is equal to these sum.
Hence, statement (2) alone is not sufficient.

Answer: A
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In the table above, the symbol -- means the expression in the respec 04 Jul 2022, 01:13
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Aks111
We need to find sum of the diagonal elements from the top left through the bottom right in the table
= 1 + 2x + y

(1) The sum of the elements in each row is the same.
=> (sum of first row) 1 + 2x + y = (sum of third row) x+2y+3 = 10
With statement (1) we are able to identify the required sum = 10

Hence, statement 1 alone is sufficient.

(2) The sum of the elements in each column is the same.
=> (sum of first column) 2x+y+1 = (sum of second column) 3x+3 = (sum of third column) x+2y+ --
But, we do not know a exact number that is equal to these sum.
Hence, statement (2) alone is not sufficient.

Answer: A
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Hi, but from statement 2 we know that 2x+y+1=3x+3. From this we can say that y=x+2. Now we are given the row sum as part of the question where x+2y+3=10, of we substitute the value of 'y' here it will come to x+2x+4+3=10 which gives the value of x to be 7/3. We can then find y's value to be 14/3. That will help to find the value of our equation 1+2x+y which will come to 10. How is this statement not sufficient then?
Hi zhanbo, could you help me understand where I am going wrong?
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In the table above, the symbol -- means the expression in the respec 05 Jul 2022, 15:56
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Ivy17
Aks111
We need to find sum of the diagonal elements from the top left through the bottom right in the table
= 1 + 2x + y

(1) The sum of the elements in each row is the same.
=> (sum of first row) 1 + 2x + y = (sum of third row) x+2y+3 = 10
With statement (1) we are able to identify the required sum = 10

Hence, statement 1 alone is sufficient.

(2) The sum of the elements in each column is the same.
=> (sum of first column) 2x+y+1 = (sum of second column) 3x+3 = (sum of third column) x+2y+ --
But, we do not know a exact number that is equal to these sum.
Hence, statement (2) alone is not sufficient.

Answer: A

Hi, but from statement 2 we know that 2x+y+1=3x+3. From this we can say that y=x+2. Now we are given the row sum as part of the question where x+2y+3=10, of we substitute the value of 'y' here it will come to x+2x+4+3=10 which gives the value of x to be 7/3. We can then find y's value to be 14/3. That will help to find the value of our equation 1+2x+y which will come to 10. How is this statement not sufficient then?
Hi zhanbo, could you help me understand where I am going wrong?
Show more

With x+2x+4+3=10, we should get 3x=3 and thus x=1, right?

I do believe that (2) alone is also sufficient (because we already know x+2y+3=10), but I also think that it will give a different value for the posed question.

Can you double check?
With condition (1), I get x=11/3 and y=5/3
With condition (2), I get x=1 and y=3
A valid DS question should ensure that condition (1) and (2) are compatible with each other.
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In the table above, the symbol -- means the expression in the respec 05 Jul 2022, 18:10
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zhanbo
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Aks111
We need to find sum of the diagonal elements from the top left through the bottom right in the table
= 1 + 2x + y

(1) The sum of the elements in each row is the same.
=> (sum of first row) 1 + 2x + y = (sum of third row) x+2y+3 = 10
With statement (1) we are able to identify the required sum = 10

Hence, statement 1 alone is sufficient.

(2) The sum of the elements in each column is the same.
=> (sum of first column) 2x+y+1 = (sum of second column) 3x+3 = (sum of third column) x+2y+ --
But, we do not know a exact number that is equal to these sum.
Hence, statement (2) alone is not sufficient.

Answer: A

Hi, but from statement 2 we know that 2x+y+1=3x+3. From this we can say that y=x+2. Now we are given the row sum as part of the question where x+2y+3=10, of we substitute the value of 'y' here it will come to x+2x+4+3=10 which gives the value of x to be 7/3. We can then find y's value to be 14/3. That will help to find the value of our equation 1+2x+y which will come to 10. How is this statement not sufficient then?
Hi zhanbo, could you help me understand where I am going wrong?

With x+2x+4+3=10, we should get 3x=3 and thus x=1, right?

I do believe that (2) alone is also sufficient (because we already know x+2y+3=10), but I also think that it will give a different value for the posed question.

Can you double check?
With condition (1), I get x=11/3 and y=5/3
With condition (2), I get x=1 and y=3
A valid DS question should ensure that condition (1) and (2) are compatible with each other.
Show more


Yes you are right, the answers from both statements are not the same. In that case would the question be considered inaccurate?
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In the table above, the symbol -- means the expression in the respec 05 Jul 2022, 19:54
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Ivy17

Maybe there is a typo somewhere in this question.

Anyway, we would not see any official questions whose two conditions contradict with each other. One (or two) may not be adequate to answer the posed question, but either is an accurate description of the same situation.
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In the table above, the symbol -- means the expression in the respec 05 Jul 2022, 20:00
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zhanbo
Ivy17

Maybe there is a typo somewhere in this question.

Anyway, we would not see any official questions whose two conditions contradict with each other. One (or two) may not be adequate to answer the posed question, but either is an accurate description of the same situation.
Show more

Thanks zhanbo!
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