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HAL Apprentice Basic Arithmetic — practice questions — page 2

Explore 38 free Basic Arithmetic questions in HAL Apprentice Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Basic Arithmetic questions and exercises with answers

Showing questions 31–38 of 38.

Worked practice questions

A journey takes 120 km at a steady 60 km per hour. The time taken is:

  1. 1.5 hours
  2. 2 hours
  3. 2.5 hours
  4. 3 hours
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Correct answer: B. 2 hours

1. Time is distance divided by speed. 2. Here the distance is 120 km and the speed is 60 km per hour. 3. So the time is 120 / 60. 4. That is 2 hours. 5. Checking the other way, 60 km per hour for 2 hours covers 120 km. _Source: syllabus Maths, Ch 11 'Direct and Inverse Proportions', S11.3 Inverse Proportion_

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Zaheeda doubles her speed on the same route. The time she takes:

  1. Doubles
  2. Falls to one third
  3. Falls to one half
  4. Is unchanged
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Correct answer: C. Falls to one half

1. The route is the same, so the distance is fixed. 2. Speed and time are therefore in inverse proportion. 3. As Zaheeda doubles her speed by running, the time reduces to half. 4. Increasing her speed threefold by cycling would cut the time to one third. 5. So the factor by which speed rises is exactly the factor by which time falls. _Source: syllabus Maths, Ch 11 'Direct and Inverse Proportions', S11.3 Inverse Proportion_

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A car covers 300 km at 50 km per hour. At 75 km per hour the same trip would take:

  1. 3 hours
  2. 4.5 hours
  3. 5 hours
  4. 4 hours
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Correct answer: D. 4 hours

1. At 50 km per hour the trip takes 300 / 50 = 6 hours. 2. The distance is unchanged, so speed and time are in inverse proportion. 3. At 75 km per hour the time is 300 / 75. 4. That is 4 hours. 5. As a check, the speed rose by a factor of 1.5 and the time fell by the same factor, 6 / 1.5 = 4. _Source: syllabus Maths, Ch 11 'Direct and Inverse Proportions', S11.3 Inverse Proportion_

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