adthedaddy wrote:How many integers 'n' are there such that r<n<s ?
(1) s-r=5
(2) r & s are not integers
In the OG Quant guide, the ans is given as C. In my opinion, the ans should be E.
Plz suggest.
Why does statement 2 require that r and s not be integers?
Because this condition likely affects STATEMENT 1.
Thus, when we evaluate statement 1, we must be sure to consider both INTEGER and NON-INTEGER values.
Statement 1: s = r+5.
Case 1: r and s are INTEGERS
If r=0, then s=5, yielding 4 possible values for n: 1, 2, 3, 4.
Case 2: r and s are NON-INTEGERS
If r=.5, then s=5.5, yielding 5 possible values for n: 1, 2, 3, 4, 5.
INSUFFICIENT.
Statement 2: r and s are not integers
Since r and s could be ANY non-integers such that r<s, INSUFFICIENT.
Statements 1 and 2 combined:
As we saw in case 2, if r and s are non-integer values such that s=r+5, there will be 5 integer values between them.
To illustrate:
If r=7.2, then s=12.2, yielding 5 possible values for n: 8, 9, 10, 11, 12.
If r=1003.1, then s=1008.1, yielding 5 possible values for n: 1004, 1005, 1006, 1007, 1008.
Since in each case there are 5 integers between r and s, SUFFICIENT.
The correct answer is
C.
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