Question

Read the following information carefully to answer the question given below.
A. A travel company operates seven taxis A, B, C, D, E, F and G for
passengers.
B. From Monday to Friday, the first taxi leaves at 6.00 A.M. and other taxis leave after an interval of 25 minutes and 15 minutes alternately
C. For other days of the week the first taxi leaves at 6.45 A.M. followed by other taxis regularly at an interval of 35 minutes.
D. Taxi E leaves immediately after A, followed by taxi G.
E. Taxi F leaves immediately before taxi A but not immediately after taxi D.
F. Taxi C is not followed by any other taxi.
At what time does the taxi E leave on Saturday, if taxi D is the first taxi to leave?
Data inadequate
8.30 AM.
7.55 AM
9.05 AM​

Answer 1

Statements :-

A.) A travel company operates seven taxis A, B, C, D, E, F and G for passengers.

B.) From Monday to Friday, the first taxi leaves at 6.00 A.M. and other taxis leave after an interval of 25 minutes and 15 minutes alternately .

C.) For other days of the week the first taxi leaves at 6.45 A.M. followed by other taxis regularly at an interval of 35 minutes.

D.) Taxi E leaves immediately after A, followed by taxi G.

E.) Taxi F leaves immediately before taxi A but not immediately after taxi D.

F.) Taxi C is not followed by any other taxi.

To Find :- At what time does the taxi E leave on Saturday, if taxi D is the first taxi to leave ?

A) Data inadequate .

B) 8.30 AM.

C) 7.55 AM

D) 9.05 AM

Answer :-

Let us assume that, 7 taxi A, B, C, D, E, F and G leaves in order of 1,2,3,4,5,6 and 7 .

so,

Statement (D) :- Taxi E leaves immediately after A, followed by taxi G.

Conclusion :-

• A, E, G , 4, 5 , 6 , 7 .
• 1, A, E, G , 5 , 6 , 7 .
• 1, 2, A, E, G ,6 , 7 .
• 1, 2, 3, A, E, G , 7 .
• 1, 2, 3, 4, A, E, G .

Statement (F) :- Taxi C is not followed by any other taxi.

Conclusion :-

• Taxi C leaves in Last .
• A, E, G , 4, 5 , 6 , C .
• 1, A, E, G , 5 , 6 , C .
• 1, 2, A, E, G ,6 , C .
• 1, 2, 3, A, E, G , C .

Statement (E) :- Taxi F leaves immediately before taxi A but not immediately after taxi D.

Conclusion :-

• F, A, E, G , 5 , D , C .
• F, A, E, G , D , 6 , C .
• 1, F, A, E, G ,D , C .
• D, 2, F, A, E, G , C .

Putting Taxi B in remaining positions we get,

• F, A, E, G , B , D , C .
• F, A, E, G , D , B , C .
• B, F, A, E, G ,D , C .
• D, B, F, A, E, G , C .

now, we have, to find , At what time does the taxi E leave on Saturday, if taxi D is the first taxi to leave .

therefore, we can conclude that,

• On Saturday their leaving pattern is :- D, B, F, A, E, G , C .

now, since On saturday we have,

→ First taxi leaves at = 6.45 A.M. and followed by other taxis regularly at an interval of 35 minutes.

hence,

→ D leaves at = 6 : 45AM

→ B leaves at = 6:45 + 35 = 6:80 = 7:20AM

→ F leaves at = 7:20 + 35 = 7:55AM

→ A leaves at = 7:55 + 35 = 7:90 = 8:30AM

→ E leaves at = 8:30 + 35 = 8:65 = 9:05AM (D) (Ans.)

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