#DILR-18

A building, which has 200 floors, has exactly three elevators - Elevator A, Elevator B and Elevator C. Only Elevator A stops at the ground floor (i.e., floor 0). Elevator A stops additionally at floors 5, 10, 15 and so on; Elevator B stops only at floors 4, 8, 12 and so on; Elevator C stops only at floors 6, 12, 18, 24 and so on. Further, all the floors are connected by a staircase and any floor can be reached from any other floor using this staircase.

Tarun, a network engineer who visits various offices in this building everyday, always tries to reach the desired floor by taking the elevators so that he minimizes the number of floors that he has to walk using the staircase.

Q1.   DIRECTIONS for questions 1 and 2: Select the correct alternative from the given choices.

Tarun got into Elevator A at the ground floor. He got down from Elevator A at the p^th floor. He got into Elevator B at this floor and got down at the q^th floor such that q > p. He got into Elevator C at this floor and got down at the r^th floor such that r > q.

If the number of floors that he travelled in Elevator A is the same as the number of floors that he travelled in Elevator B, which of the following can be a possible value of r?

 a) 60    

 b) 90    

 c) 108    

 d) 168 

Q2.   DIRECTIONS for questions 1 and 2: Select the correct alternative from the given choices.

Tarun got into Elevator A at the ground floor. He got down from Elevator A at the p^th floor. He got into Elevator B at this floor and got down at the q^th floor such that q > p. He got into Elevator C at this floor and got down at the r^th floor such that r > q.

If the number of floors that he travelled in Elevator C is the same as the number of floors that he travelled in Elevator A, what is the minimum possible value of r?

 a) 90    

 b) 144    

 c) 132    

 d) 150

    

Q3.   DIRECTIONS for questions 3 and 4: Type your answer in the text box provided below the question.

Tarun got into Elevator A at the ground floor. He got down from Elevator A at the i^th floor. He got into Elevator B at this floor and got down at the j^th floor such that j > i. He got into Elevator C at this floor and got down at the k^th floor such that k < j.

If the number of floors that he travelled in Elevator C is the same as the number of floors that he travelled in Elevator A, what is the maximum number of floors that he could have travelled using Elevator C?

Q4.   DIRECTIONS for questions 3 and 4: Type your answer in the text box provided below the question.

Tarun got into Elevator A at the ground floor. He got down from Elevator A at the i^th floor. He got into Elevator B at this floor and got down at the j^th floor such that j > i. He got into Elevator C at this floor and got down at the k^th floor such that k < j.

If the number of floors that he travelled in Elevator C is the same as the number of floors that he travelled in Elevator A, what is the maximum possible value of k?

Solutions:-