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.

DepartureDepartureArrivalArrival
CityTimeCityTime
B8: 00 AMA3: 00 PM
A4: 00 PMB8: 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) 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

    Answer: b

  6. If p = and q = , 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