This is the aptitude questions and answers section on 'Data Arrangement' with solutions and detailed explanation. Data arrangement puzzles (Eg. Seating Arrangement) assess a person’s ability to comprehend complex data and filling out the information gaps using the given clues.

Four thermal heaters A,B, C and D are used in the R & D department of Raliance chemicals Ltd. Only one heater can be used on any day . If heater A is used on any day, neither A nor C can be used the next day. If heater C is used on any day, neither C nor D can be used on the next day. If heater C is used on any day, then A has to be used the next day. If heater D is used on any day, then B has to be used the next day.

If heater D is used on the third day and different heaters are used on first and fourth day, which heater is used on the first day?

Explanation:

If heater D is used on the third day, heater B has to be used on the fourth day and A has to be used on the second day. But if A is used on second day, then either B or C has to be used on the first day. But if heater B is used on the first day, then according to the question, the requirement of having different heaters on the first day and fourth days would not be fulfilled. Hence the heater that would be used on the first day is C.

If heater D is used on the third day, heater B has to be used on the fourth day and A has to be used on the second day. But if A is used on second day, then either B or C has to be used on the first day. But if heater B is used on the first day, then according to the question, the requirement of having different heaters on the first day and fourth days would not be fulfilled. Hence the heater that would be used on the first day is C.

In how many ways can a person use all the four heaters in a four-day period?

Explanation:

Only ways in which a person can use all the four heaters in a four day period is by the order ADBC. Hence, in total there are four possible permutations of the same.

Only ways in which a person can use all the four heaters in a four day period is by the order ADBC. Hence, in total there are four possible permutations of the same.