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Suvankar8250
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snigdha3108
if we consider x*y= 2 it is possible that the possible options are -2 and -1 =-3 and 2 and 1 which = 3
can you please explain, how B can be correct?

snigdha3108 You're missing the point that x and y are the tens digit and the units digit of a number. Hence, the unit digit ALWAYS has to be positive.

For example, we cannot have a number represented as 1-2, in which 1 is the tens digit and -2 is the unit digit. Such a representation is illogical.

Therefore we can only have two only cases for Option B that are indicated above.
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Suvankar8250
x and y are the tens digit and the units digit respectively, of a 2-digit number. what is the value of (x+y)?

(1) 20x + 4y = 44
(2) Product of x and y is 2
Solution:
Pre Analysis:
  • 2 digit number \(=10x+y\)
  • We are asked the value of \(x+y\)

Statement 1: \(20x + 4y = 44\)
  • From this we do not get the value of \(x+y\)
  • Thus, statement 1 alone is not sufficient and we can eliminate options A and D

Statement 2: Product of x and y is 2
  • According to this statement \(xy=2\)
  • Its either \(x=1\), \(y=2\) or \(x=2\), \(y=1\)
  • In both the cases, \(x+y=3\)
  • Thus, statement 2 alone is sufficient


Hence the right answer is Option B
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Should this really be a 655 to 700 level question ? Statement is very self explanatory

Suvankar8250
x and y are the tens digit and the units digit respectively, of a 2-digit number. what is the value of (x+y)?

(1) 20x + 4y = 44
(2) Product of x and y is 2
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