In the diagram above each of the letters represents an odd single-digi

Question

https://gmatclub.com/forum/download/file.php?id=34784 In the diagram above each of the letters represents an odd single-digit prime. If each row and each column must be filled with distinct digits, what is the value of w? (1) The sum of w and z is a multiple of 12. (2) The smallest integer that has x and z as its factors is also multiple of 15. image001.gif

Kurtosis · Answer

Digits: 3, 5 and 7

St1: w + z = 12 --> Clearly insufficient

St2: LCM(x, z) = 15 --> x and z is either 3 or 5 and w = 7
Sufficient

Answer: B

manoela · Answer

Question in b) I cannot have w=1 as a odd prime?

arpitkansal · Answer

By definition a prime number is divisible only by itself and "1".
This does not apply to "1",so 1 is not considered a prime number.

Rohit_842 · Answer

HarshavardhanR  how do you even get 9 distinct odd primes all single digit? there are only 3!!
"each row and each column must be filled with distinct digits" what am I missing?

HarshavardhanR · Answer

In the diagram above each of the letters represents an odd single-digit prime.  
  
- There are only 3 odd single-digit primes: 3,5,7.
- So, each letter in the diagram is represented by either a 3 or a 5 or a 7.

If each row and each column must be filled with distinct digits 
  
- Each row has distinct digits i.e., if you take any one row, there will be no repetition of digits. 
- Each column has distinct digits i.e., if you take any one column, there will be no repetition of digits.

Here is one example ->
 
    7  
  3  
  5  
 
   5  
  7  
  3  
 
   3  
  5  
  7

Observe - each row, whether you take row 1 or row 2 or row 3 - has distinct digits (each row has 3, 5, and 7 - but no repeat of any digit). 
Similarly, each column, whether you take column 1 or column 2 or column 3 - has distinct digits (each column has 3, 5, and 7 - but no repeat of any of the digits).

This is actually similar to a Sudoku Grid - every row and every column has distinct digits.

Hope this helps!

---
Harsha

SOOD1 · Answer

Could you please explain why is D not the answer?
when we take the case of A, it says that W+Z=12 and we also know that the grid can only have single digit odd prime numbers which are 3, 5, 7. Only 5+7=12 out of the 3 no's. Thus, A is also sufficient along with B and thus answer should be D?

bb · Answer

How do you know from A by itself that W is 5 or W is 7?

SOOD1 · Answer

Thankyou. Understood.

In the diagram above each of the letters represents an odd single-digi

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In the diagram above each of the letters represents an odd single-digi

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