BTGmoderatorDC wrote:If, J, K, L, M, and N are positive integers in ascending order, what is the value of L?
(1) The value of K is 3.
(2) The value of M is 7.
Source: Official Guide
$$1 \le J < K < L < M < N\,\,\,\,{\rm{ints}}$$
$$?\,\, = \,\,L$$
$$\left( {1 + 2} \right)\,\,\,\left\{ \matrix{
\,K = 3 \hfill \cr
\,M = 7 \hfill \cr} \right.\,\,\,\,\,\,:::\,\,\,\,\,\,\,\left\{ \matrix{
\,{\rm{Take}}\,\,\left( {J,K,L,M,N} \right) = \left( {1,3,4,7,8} \right)\,\,\,\,\,\, \Rightarrow \,\,\,\,\,? = 4 \hfill \cr
\,{\rm{Take}}\,\,\left( {J,K,L,M,N} \right) = \left( {1,3,5,7,8} \right)\,\,\,\,\,\, \Rightarrow \,\,\,\,\,? = 5\, \hfill \cr} \right.\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\left( {\rm{E}} \right)$$
We follow the notations and rationale taught in the GMATH method.
Regards,
Fabio.
P.S.: if "ascending" is considered the same as "non-descending" (so that J <= K <= L , etc), the correct answer is still (E).
