# sequence of letters from the lowest value to the highest value?

Question: The letters P, Q, R, S, T, U and V, not necessarily in that order represents seven consecutive integers from 22 to 33.

* U is as much less than Q as R is greater than S.

* V is greater than U.

* Q is the middle term.

* P is 3 greater than S.

Can you find the sequence of letters from the lowest value to the highest value?

The sequence of letters from the lowest value to the highest value is TUSQRPV.

From (3), Q is the middle term.

___ ___ ___ _Q_ ___ ___ ___

From (4), there must be exactly 2 numbers between P and S which gives two possible positions.

 ___ _S_ ___ _Q_ _P_ ___ ___

 ___ ___ _S_ _Q_ ___ _P_ ___

From (1), the number of letters between U and Q must be same as the number of letters
between S and R. Also, the number of letters between them can be 1, 2 or 3.

Using trial and error, it can be found that there must be 2 letters between them. Also, it
is possible only in option  above.

 ___ _U_ _S_ _Q_ _R_ _P_ ___

From (2) V must be the highest and the remaining T must be the lowest number.

_T_ _U_ _S_ _Q_ _R_ _P_ _V_

Thus, the sequence of letters from the lowest value to the highest value is TUSQRPV.