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Quant – Boat & Stream – Set 1

General Instructions

  1. The clock is set at the server. The countdown timer at the top of the screen shows the time remaining. When it reaches zero the test ends by itself — you do not have to submit.
  2. The Question Palette shows the status of every question using these symbols:
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    Marking a question for review only means you want to look at it again. An answered question that is marked for review is still counted in the evaluation.
  3. To answer a question: choose one of the four options, then press Save & Next. To change an answer, select a different option and save again. To remove it, press Clear.
  4. Your answer is saved only when you press Save & Next or Mark for Review & Next. If you jump to another question from the palette without saving, the answer to the question you were on is not kept. This is how the real exam behaves.
  5. Sections appear on the bar above the question. You may move between sections at any time, and after the last question of a section you are taken to the first question of the next one.
  6. Only questions that are saved, or marked for review after answering, are evaluated.
Review this set's questions and answers (opens after you submit the test)

This free practice set from AndamanJobs has 10 questions to be solved in 8 minutes. Every question is listed below with four options. Open Show answer and explanation under a question to see the correct option and why it is correct. Try the timed test above first, then use this list to revise the questions you got wrong.

  1. A motorboat in still water travels at a speed of 36 kmph. It goes 56 km upstream in 1 hour 45 minutes. The time taken by it to cover the same distance down the stream will be :
    • A. 1 hr 24 min.
    • B. 2 hrs 25 min.
    • C. 3 hrs
    • D. 2 hrs 21 min.
    Show answer and explanation

    Answer: A. 1 hr 24 min.

    Upstream speed = 56 ÷ 1.75 = 32 km/h, so the stream is 4 km/h. Downstream = 40 km/h. Time = 56/40 = 1.4 h = 1 hr 24 min.

  2. A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10 km/hr and 4 km/hr respectively, the distance of the destination from the starting place is :
    • A. 16 km
    • B. 21 km
    • C. 25 km
    • D. 18 km
    Show answer and explanation

    Answer: B. 21 km

    Downstream = 14 and upstream = 6 km/h. d/14 + d/6 = 5 gives 10d/42 = 5, so d = 21 km.

  3. Speed of a motorboat in still water is 45 kmph. If the motorboat travels 80 km along the stream in 1 hour 20 minutes, then the time taken by it to cover the same distance against the stream will be :
    • A. 3 hrs
    • B. 2 hrs 40 min
    • C. 2 hrs 55 min
    • D. 1 hr 20 min
    Show answer and explanation

    Answer: B. 2 hrs 40 min

    Downstream speed = 80 ÷ 4/3 = 60 km/h, so the stream is 15 km/h. Upstream = 45 - 15 = 30 km/h. Time = 80/30 = 2 hrs 40 min.

  4. A boat travels 24 km upstream in 6 hours and 20 km down-stream in 4 hours. Then the speed of the boat in still water and the speed of water current are respectively.
    • A. 4 kmph and 2 kmph
    • B. 4.5 kmph and 0.5 kmph
    • C. 4 kmph and 3 kmph
    • D. 5 kmph and 2 kmph
    Show answer and explanation

    Answer: B. 4.5 kmph and 0.5 kmph

    Upstream speed = 24/6 = 4 and downstream = 20/4 = 5 km/h. Boat = (4 + 5)/2 = 4.5 km/h and current = (5 - 4)/2 = 0.5 km/h.

  5. The speed of the current is 5 km/hour. A motorboat goes 10 km upstream and back again to the starting point in 50 minutes. The speed (in km/hour) of the motorboat in still water is :
    • A. 25
    • B. 28
    • C. 26
    • D. 20
    Show answer and explanation

    Answer: A. 25

    10/(x - 5) + 10/(x + 5) = 5/6 gives 20x/(x² - 25) = 5/6, so x² - 24x - 25 = 0 and x = 25 km/h.

  6. The current of a stream runs at the rate of 4 km an hour. A boat goes 6 km and comes back to the starting point in 2 hours. The speed of the boat in still water is :
    • A. 8 km/hr
    • B. 6 km/hr
    • C. 6.8 km/hr
    • D. 7.5 km/hr
    Show answer and explanation

    Answer: A. 8 km/hr

    6/(x - 4) + 6/(x + 4) = 2 gives 12x/(x² - 16) = 2, so x² - 6x - 16 = 0 and x = 8 km/h.

  7. A man can row 6 km/hr in still water. If the speed of the current is 2 km/hr, it takes 4 hours more in upstream than in the downstream than in the downstream for the same distance. The distance is :
    • A. 32 km
    • B. 20 km
    • C. 30 km
    • D. 24 km
    Show answer and explanation

    Answer: A. 32 km

    Upstream = 4 and downstream = 8 km/h. d/4 - d/8 = 4 gives d/8 = 4, so d = 32 km.

  8. A swimmer swims from a point A against a current for 5 minutes and then swims backwards in favour of the current for next 5 minutes and comes to the point B. If AB is 100 metres, the speed of the current (in km per hour) is :
    • A. 0.4
    • B. 0.2
    • C. 0.6
    • D. 1
    Show answer and explanation

    Answer: C. 0.6

    Net distance A to B = (v + c) × 5 - (v - c) × 5 = 10c metres per minute = 100 m, so c = 10 m/min = 0.6 km/h.

  9. A boat takes half the time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current is :
    • A. 2 : 1
    • B. 3 : 1
    • C. 4 : 3
    • D. 1 : 2
    Show answer and explanation

    Answer: B. 3 : 1

    Downstream takes half the time, so downstream : upstream speed = 2 : 1. (b + s) : (b - s) = 2 : 1 gives b = 3s, so the ratio is 3 : 1.

  10. A man rows 12 km in 5 hours against the stream, the speed of current being 4 kmph. What time will be taken by him to row 15 km with the stream?
    • A. 1 hour 25 7/13 min
    • B. 1 hour 24 7/13 min
    • C. 1 hour 27 7/13 min
    • D. 1 hour 26 7/13 min
    Show answer and explanation

    Answer: D. 1 hour 26 7/13 min

    Upstream speed = 12/5 = 2.4 km/h, so the boat = 6.4 km/h and downstream = 10.4 km/h. Time = 15/10.4 h = 1 hr 26 7/13 min.

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