# 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.

1. What is the time difference between A and B?
1. 1 hour
2. 1 hour and 30 minutes
3. 2 hours
4. 2 hours and 30 minutes
5. Cannot be determined

2. What is the plane՚s cruising speed in km per hour?
1. 500
2. 700
3. 550
4. 600
5. Cannot be determined.

3. 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. 1
2. 3
3. 2
4. 4
5. 0

4. 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?
1. (n − 1) (k − 1)
2. n (k − 1)
3. k (n − 1)
4. n (k − 2)
5. 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.

5. Which of the following best describes an + bn for even n?
1. q (pq) n − 1 (p + q) n
2. q (pq) n − 1 (p + q)
3. qp n − 1 (p + q)
4. q n (p + q)
5. q n (p + q) n