For the sake of discussion, a 'C' trap question

[atishree]

p and q are different two-digit prime numbers with the same digits, but in reversed order. What is the value of the larger of p and q?

(1) p + q = 110
(2) p – q = 36

[viveksurya]

Hi Atishree,

The 2 digits prime numbers having same digits but in reverse order are :

13 & 31
17 & 71
37 & 73
79 & 97

1) p + q = 110
Obviously only 37 & 73 fulfill this.

What is the value of the larger of p and q?
SO the karger value is 73.

2) p – q = 36
Again, only 37 & 73 fulfills this.
So here also we can tell 73 is the larger value.

So, both alone can give the anser. Hence correct answer is D.

personal statement: "What is the value of the larger of p and q?"..if this means which between p & q is large and give its value..Then we would not be able to tell for statement 1 whether p or q is greater and thus, cant tell their respetive value. While for statement 2, it clearly shows that p > q, thus p =73. So here answer shud be B.

Thanks and regards,
Vivek