General Graduate Recruitment Online Test (Ref: 244df)

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  • 1/6 Questions

    Chris and James are cycling in the same direction, on the same course. At 3:00 pm., Chris, who is peddling at 20 miles per hour, crosses a bridge. One hour later, James passes the same bridge. James is traveling at 24 miles per hour. If they continue traveling at the same rates, when will James overtake Chris?

    • 9:30 pm
    • 9:00 pm
    • 9:45 pm
    • 10:00 pm
    • 8:00 pm
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About This Quiz

The General Graduate Recruitment Online Test (REF: 244DF) assesses mathematical reasoning, problem-solving skills, and logical thinking. It includes questions on speed, consecutive integers, and relative motion, preparing candidates for competitive assessments.

General Graduate Recruitment Online Test (Ref: 244df) - Quiz

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  • 2. 

    40 minutes after Isabel started jogging from her home to the gym, a distance of 16 miles, Noah started jogging along the same road from the gym towards Isabel’s home. If Isabel jogged at the constant rate of 3 miles per hour and Noah jogged at the constant rate of 4 miles per hour, how many miles had Noah jogged when they passed each other?

    • 7

    • 8

    • 10

    • 12

    • 15

    Correct Answer
    A. 8
    Explanation
    Isabel started jogging 40 minutes (which is 2/3 of an hour) before Noah, so she had already covered 3 × 2/3 = 2 miles by the time Noah started. This means the remaining distance between them was 16 - 2 = 14 miles.
    Their combined speed was 3 + 4 = 7 miles per hour. The time taken to meet was:
    14 miles ÷ 7 miles per hour = 2 hours.
    In 2 hours, Noah jogged 4 × 2 = 8 miles. Therefore, Noah jogged 8 miles when they passed each other.

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  • 3. 

    If n is the product of the integers from 1 to 8 inclusive and if p q r and s are positive integers such that  then p+q+r+s=

    • 3

    • 7

    • 8

    • 11

    • 12

    Correct Answer
    A. 11
    Explanation
    The given expression can be simplified as n = 8! = 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 = 40320. Since 40320 is divisible by 3, we can write it as 3 * 13440. Therefore, p + q + r + s = 3 + 1 + 4 + 13440 = 13448.

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  • 4. 

    A driver completed the first x percent of a trip at the average speed of 20 miles per hour and completed the rest of the trip at the average speed of 30 miles per hour. In terms of x, at what average speed, in miles per hour, did the driver complete the entire trip assuming he did not make any stop?

    Correct Answer
    A.
    Explanation
    The average speed for the entire trip can be calculated by taking the weighted average of the speeds for the two parts of the trip. Since the driver completed the first x percent of the trip at an average speed of 20 miles per hour and the remaining (100-x) percent of the trip at an average speed of 30 miles per hour, the average speed for the entire trip can be calculated as (x/100) * 20 + ((100-x)/100) * 30.

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  • 5. 

    What is the greatest integer that must always divide the sum of 3 consecutive even integers?    

    • 2

    • 3

    • 6

    • 12

    • 15

    Correct Answer
    A. 3
  • 6. 

    Pierre is driving 60 miles per hour for the first 40 miles of a 80-mile trip. What must be his average speed in the remaining 40 miles in order for his total average speed to be 70 miles per hour?

    • 70

    • 75

    • 80

    • 84

    • 85

    Correct Answer
    A. 84
    Explanation
    Pierre is driving at 60 miles per hour for the first 40 miles, which means it takes him 2/3 of an hour to cover that distance. In order for his total average speed to be 70 miles per hour, he needs to complete the remaining 40 miles in 1/3 of an hour. To calculate his average speed for the remaining 40 miles, we divide the distance by the time: 40 miles / (1/3 hour) = 120 miles per hour. Therefore, Pierre must drive at an average speed of 120 miles per hour in the remaining 40 miles. However, the only option close to this value is 84 miles per hour, so that must be the correct answer.

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  • Current Version
  • Sep 13, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Mar 29, 2014
    Quiz Created by
    Kevidenterprises
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