An amusement park roller coaster includes five cars, numbered 1 through 5 from front to back. Each car accommodates up to two riders, seated side by side. Six people-T, G, L, M, P and J-are riding the coaster at the same time.

- L is sharing a car.
- M is not sharing a car and is seated immediately behind an empty car.
- T is not sharing a car with either G or P.
- G is riding in either the third or fourth car.

**Q1.** Which of the following groups of riders could occupy the second car?

- L only
- T and G
- L and M
- J and T

**Q2.** If is riding immediately behind L's car and immediately ahead of T’s car, all of the following must be true EXCEPT

- G is riding in the fourth car.
- P is riding in the third car
- T is riding in the fifth car.
- L is riding in the third car.

**Q3.** Which one of the following statements CANNOT be true?

- Neither T nor G is sharing a car with another rider.
- Neither M nor J is sharing a car with another rider
- T is sharing a car, and J is sharing a car.
- G is sharing a car, and P is sharing a car.

**Q4.** If P is riding in the second car, how many different combinations of riders are possible for the third car?

- one
- two
- three
- four

**Q5.** Assume that a seventh rider is riding with J in the first car, but that all other rules remain unchanged. Which of the following is a complete and accurate list of the riders who might be riding in the fifth car?

- M
- G, P
- T, L, P
- T, L, M

**Explanation:**

**Q1. **Option 1 cannot be true as L is sharing a car Option 2 cannot be true as T cannot share a car with G Option 3 cannot be true as M is not sharing a car Thus option 4 is the only correct choice, **Ans.(4)**

**Q2. **From the give condition. following arrangement can be derived.

Car No. | 1 | 2 | 3 | 4 | 5 |

empty | M | L | G | T |

All options 1, 3 and 4 are true as can be seen, Option 2 is false as P can sit in either third or fourth car **Ans.(2)**

**Q3. **As given in the problem, one car is empty and M is not sharing a car. That leave three cars and 5 people L, T, G, P and J out of them only one cannot share a car. Thus option 1 be true. **Ans (1)**

**Q4. **From the given condition, following order can be formed

Car No. | 1 | 2 | 3 | 4 | 5 |

T | P | G | empty | M |

Only two people are left, thus 2 combinations are possible. **Ans (2)**

**Q5. **One car can carry only 2 passengers this eliminates option (3) and (4) moreover, G can only ride in the 3^{rd} or 4^{th} cars. Thus option (2) is also rejected. This leaves the only possible option (1).

**Ans (1)**