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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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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
= 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
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
= 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?
