Tag: math & puzzles

The letters A, B, C, D, E, F and G, not necessarily in that order, stand for seven consecutive integers from 1 to 10 1) D is 3 less than A 2) B is the middle term 3) F is as much less than B as C is greater than D 4) G is greater than F An integer T is as much greater than C as C is greater than E. T can be written as A + E. What is D?

Five houses lettered A,B,C,D, & E are built in a row next to each other. The houses are lined up in the order A,B,C,D, & E. Each of the five houses has a colored chimney. The roof and chimney of each housemust be painted as follows. i. The roof must be painted either green,red ,or yellow. ii. The chimney must be painted either white, black, or red. iii. No house may have the same color chimney as the color of roof. iv. No house may use any of the same colors that the every next house uses. v. House E has a green roof. vi. House B has a red roof and a black chimney If house C has a yellow roof. Which must be true.

Six swimmers A, B, C, D, E, F compete in a race. The outcome is as follows. i. B does not win. ii. Only two swimmers separate E & D iii. A is behind D & E iv. B is ahead of E , with one swimmer intervening v. F is a head of D If the end of the race, swimmer D is disqualified by the Judges then swimmer B finishes in which place?