Bunuel
Three spies—Ex, Why, and Zee— together know 19 different secrets. There is no overlap of information. How many secrets does Why know?
(1) Ex knows one more than Why and twice as many as Zee.
(2) Why knows three more secrets than Zee.
Solution
Step 1: Analyse Question Stem
• Ex, Why, and Zee know 19 different secrets.
o Let us assume that Ex, Why and Zee know x, y and z secrets, respectively.
• There is no overlap of secrets.
o This means, \(x + y + z = 19 ………Eq. (i)\)
We need to find the value of y.
Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE
Statement 1: Ex knows one more than Why and twice as many as Zee.
• According to this statement : \(x = y+1\) and
o \( x =2z⟹ z =\frac{x}{2} = \frac{(y + 1)}{2}\)
• Substituting the above values of x and z in Eq(i), we get,
o \((y+1) + y +\frac{(y+1)}{2 }= 19\)
We can easily solve the above equation and find the value of y.
Hence, statement 1 is sufficient and we can eliminate answer Options B, C and E.
Statement 2: Why knows three more secrets than Zee.
• According to this statement;\( y = z+3\)
• This statement neither gives any information about x nor it gives the exact value of z. Thus, we cannot determine the value of y from this statement alone.
Hence, statement 2 is NOT sufficient.
Thus, the correct answer is
Option A.