Quantitative Ability (Part 5 of 9)
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 nonstop 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 = pbn1, bn = qbn1, for even n > 1, and an = pan1, bn = qan1, for odd n > 1.
Answer: b


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

q (pq) 1/2n − 1 (p + q) 1/2n

q (pq) 1/2n − 1 (p + q)

qp1/2n − 1 (p + q)

q1/2n (p + q)

q1/2n (p + q) 1/2n
Answer: b


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

15

7

13

11

9
Answer: e
