Eight students A, B, C, D, E, F, G and H are planning to enjoy car racing. There are only two cars and following are the conditions :
(i). One car can accommodate maximum five and minimum four students.
(ii). A will sit in the same car in which D is sitting but H is not in the same car.
(iii). B and C can't sit in the same car in which D is sitting.
(iv). F will sit in the car of four people only alongwith A and E but certainly not with G.

If H and G are sitting in the same car, who are other two students sitting in the same car ?

A. B and C
B. C and D
C. B and D
D. E and B
E. None of these

Option A

#### View Explanation

Eight students A, B, C, D, E, F, G and H are planning to enjoy car racing. There are only two cars and following are the conditions :
(i). One car can accommodate maximum five and minimum four students.
(ii). A will sit in the same car in which D is sitting but H is not in the same car.
(iii). B and C can't sit in the same car in which D is sitting.
(iv). F will sit in the car of four people only alongwith A and E but certainly not with G.

If E and A are sitting in the same car, which of the following statements is true ?

###### Option :
A. Five students are sitting in the same car.
B. B is sitting in the same car.
C. F is not sitting in the same car.
D. G is not sitting in the same car.
E. None of these

Option D

#### View Explanation

Eight students A, B, C, D, E, F, G and H are planning to enjoy car racing. There are only two cars and following are the conditions :
(i). One car can accommodate maximum five and minimum four students.
(ii). A will sit in the same car in which D is sitting but H is not in the same car.
(iii). B and C can't sit in the same car in which D is sitting.
(iv). F will sit in the car of four people only alongwith A and E but certainly not with G.

Which of the following statements is superfluous for the above sitting arrangements ?

A. Only (i)
B. Only (ii)
C. Only (iii)
D. Only (iv)
E. None of these

Option A

#### View Explanation

At an Electronic Data Processing Unit, five out of the eight program sets P, Q, R, S, T, U, V and W are  to be operated daily. On any one day, except for the first day of a month, only three of the program sets must be the ones that were operated on the previous day. The program operating must also satisfy the following conditions :
(i). If program P is to be operated on a day, V cannot be operated on that day.
(ii). If Q is to be operated on a day, T must be one of the programs to be operated after Q.
(iii). If R is to be operated on a day, V must be one of the programs to be operated after R.
(iv). The last program to be operated on any day must be either S or U.

Which of the following could be the set of programs to be operated on the first day of a month ?

A. V, Q, R, T, S
B. U, Q, S, T, W
C. T, U,R, V, S
D. Q, S, R, V, U
E. P, R, V, S, U

Option C

#### View Explanation

At an Electronic Data Processing Unit, five out of the eight program sets P, Q, R, S, T, U, V and W are  to be operated daily. On any one day, except for the first day of a month, only three of the program sets must be the ones that were operated on the previous day. The program operating must also satisfy the following conditions :
(i). If program P is to be operated on a day, V cannot be operated on that day.
(ii). If Q is to be operated on a day, T must be one of the programs to be operated after Q.
(iii). If R is to be operated on a day, V must be one of the programs to be operated after R.
(iv). The last program to be operated on any day must be either S or U.

Which of the following is true of any day's valid program set operation ?

###### Option :
A. P cannot be operated at third place.
B. Q cannot be operated at third place.
C. R cannot be operated at fourth place.
D. T cannot be operated at third place.
E. U cannot be operated at fourth place.