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 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