# Quantitative Ability (Part 5 of 9)

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Directions: Answer these questions on the basis of the information given below:

Cities A and B are in different time zones. A is located 3000 km east of B. The table below describes the schedule of an airline operating non-stop flights between A and B. All the times indicated are local and on the same day.

Departure | Departure | Arrival | Arrival |

City | Time | City | Time |

B | 8: 00 AM | A | 3: 00 PM |

A | 4: 00 PM | B | 8: 00 PM |

Assume that planes cruise at the same speed in both directions. However, the effective speed is influenced by a steady wind blowing from east to west at 50 km per hour.

- What is the time difference between A and B?
- 1 hour
- 1 hour and 30 minutes
- 2 hours
- 2 hours and 30 minutes
- Cannot be determined

Answer: a

- What is the plane՚s cruising speed in km per hour?
- 500
- 700
- 550
- 600
- Cannot be determined.

Answer: c

- Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares?
- 1
- 3
- 2
- 4
- 0

Answer: a

- In a tournament, there are n teams T1, T2, … Tn, with n > 5. Each team consists of k players, k > 3. The following pairs of teams have one player in common: T1 & T2, T2 & T3, … T n − 1 & Tn, and Tn & T1. No other pair ofteams has any player in common. How many players are participating in the tournament, considering all the n teams together?
- (n − 1) (k − 1)
- n (k − 1)
- k (n − 1)
- n (k − 2)
- k (n − 2)

Directions: Answer these questions on the basis of the information given below:

Let a1 = p and b1 = q, where p and q are positive quantities. Define an = pbn-1, bn = qbn-1, for even n > 1, and an = pan-1, bn = qan-1, for odd n > 1.

Answer: b

- Which of the following best describes an + bn for even n?
- q (pq) n − 1 (p + q) n
- q (pq) n − 1 (p + q)
- qp n − 1 (p + q)
- q n (p + q)
- q n (p + q) n

Answer: b

- If p = and q = , then what is the smallest odd n such that an + bn < 0.01?
- 15
- 7
- 13
- 11
- 9

Answer: e