Question- What is the the tenths digit in the decimal representation of a certain number?
(1) The number is less than 1/3
(2) The number is greater than 1/4
statement 1: if the number is less than 1/3, then there are many possible values for that number
case a) the number = 0.
31, in which case the value of the tenths digit is
3
case b) the number = 0.
298, in which case the value of the tenths digit is
2
Since these tenths digit can have more than 1 value, statement 1 is NOT SUFFICIENT
statement 2: if the number is greater than 1/4, then there are many possible values for that number
case a) the number = 0.
31, in which case the value of the tenths digit is
3
case b) the number = 0.
298, in which case the value of the tenths digit is
2
Since these tenths digit can have more than 1 value, statement 2 is NOT SUFFICIENT
statements 1 & 2 combined: if the number is greater than 1/4 and less than 1/3, then there are many possible values for that number
case a) the number = 0.
31, in which case the value of the tenths digit is
3
case b) the number = 0.
298, in which case the value of the tenths digit is
2
Since these tenths digit can have more than 1 value, statements 1 & 2 combined are NOT SUFFICIENT
So, the answer is
E
