# 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

Answer: a

2. What is the plane's cruising speed in km per hour?

1. 500

2. 700

3. 550

4. 600

5. Cannot be determined.

Answer: c

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

Answer: a

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.

Answer: b

5. Which of the following best describes an + bn for even n?

1. q (pq) 1/2n − 1 (p + q) 1/2n

2. q (pq) 1/2n − 1 (p + q)

3. qp1/2n − 1 (p + q)

4. q1/2n (p + q)

5. q1/2n (p + q) 1/2n

Answer: b

6. If p = ⅓ and q = ⅔ then what is the smallest odd n such that an + bn < 0.01?

1. 15

2. 7

3. 13

4. 11

5. 9

Answer: e