NUST NET Quantitative Maths chapter 4: Quantitative · Word problems MCQs with answers

By Team Megalecture · Updated 13 Nov 2026

64 exam-style questions on Quantitative · Word problems, each with the answer and a short explanation. Ten of them are below to try. The chapter test draws ten fresh questions each time and is marked the moment you finish, with your score by topic.

64 questions · 3 topics · 10 per test

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What chapter 4 covers

Ten Quantitative · Word problems questions with answers

Try each one, then open the answer. These ten stay the same; the test draws new ones every time.

1. A bus travels for 2 hours at 50 km/h and then for 3 hours at 70 km/h. Its average speed for the whole journey is

  1. A
    60 km/h
  2. B
    62 km/h
  3. C
    64 km/h
  4. D
    66 km/h
Show answer

Answer: B. Total distance = 100 + 210 = 310 km in 5 h, so the average is 310 ÷ 5 = 62 km/h. Averaging the two speeds gives 60.

2. A mother is 4 times as old as her daughter. In 10 years she will be 2.5 times as old as her daughter. The daughter's present age is

  1. A
    10 years
  2. B
    15 years
  3. C
    20 years
  4. D
    40 years
Show answer

Answer: A. 4d + 10 = 2.5(d + 10) gives 1.5d = 15, so d = 10 (mother 40; in 10 years 50 and 20, ratio 2.5). 40 is the mother's age.

3. A machine fills 240 bottles in 8 minutes. At the same rate, how many bottles does it fill in one hour?

  1. A
    1,800
  2. B
    1,920
  3. C
    2,400
  4. D
    2,880
Show answer

Answer: A. Rate = 240 ÷ 8 = 30 bottles a minute, so in 60 minutes 30 × 60 = 1,800. 1,920 multiplies 240 by 8 instead of 60/8.

4. A delivery van moves at 45 km/h. How long does it take to cover 33 km?

  1. A
    40 minutes
  2. B
    44 minutes
  3. C
    48 minutes
  4. D
    73 minutes
Show answer

Answer: B. Time = 33 ÷ 45 h = 11/15 h = 11/15 × 60 = 44 minutes. Reading 0.73 h as 73 minutes is the slip.

5. The average salary of 8 workers in a shop is Rs 25,000. One worker earning Rs 39,000 leaves. The average salary of the remaining 7 is

  1. A
    Rs 25,000
  2. B
    Rs 24,000
  3. C
    Rs 23,500
  4. D
    Rs 23,000
Show answer

Answer: D. Total = 8 × 25,000 = Rs 200,000. Without Rs 39,000 it is Rs 161,000 for 7 workers, an average of Rs 23,000.

6. A and B together can do a job in 10 days, B and C together in 15 days, and A and C together in 12 days. All three working together would finish it in

  1. A
    4 days
  2. B
    8 days
  3. C
    12⅓ days
  4. D
    16 days
Show answer

Answer: B. Adding the three pair rates: 2(A + B + C) = 1/10 + 1/15 + 1/12 = 15/60 = 1/4, so A + B + C = 1/8 and they need 8 days. 4 days forgets to halve.

7. A 30-litre mixture of milk and water contains 20% water. How much milk must be added so that water makes up 12% of the new mixture?

  1. A
    6 litres
  2. B
    12 litres
  3. C
    20 litres
  4. D
    25 litres
Show answer

Answer: C. Water stays at 6 litres. For this to be 12%, the total must be 6 ÷ 0.12 = 50 litres, so 30 + x = 50 and 20 litres of milk is added.

8. Printer A prints 40 pages a minute and printer B 60 pages a minute. Working together, they print 1,500 pages in

  1. A
    37.5 min
  2. B
    30 min
  3. C
    25 min
  4. D
    15 min
Show answer

Answer: D. Together they print 100 pages a minute, so 1,500 ÷ 100 = 15 minutes. 30 min uses the average rate of 50 for one printer only.

9. A rickshaw takes a passenger to the market at 30 km/h and comes back empty along the same road at 50 km/h. Its average speed for the round trip is

  1. A
    37.5 km/h
  2. B
    40 km/h
  3. C
    42.5 km/h
  4. D
    45 km/h
Show answer

Answer: A. For equal distances the average speed is 2 × 30 × 50 ÷ (30 + 50) = 3,000 ÷ 80 = 37.5 km/h. Simply averaging 30 and 50 gives 40, but more time is spent at the slower speed.

10. The average of four consecutive even numbers is 27. The largest of them is

  1. A
    28
  2. B
    29
  3. C
    30
  4. D
    32
Show answer

Answer: C. The numbers are spaced 2 apart around 27: 24, 26, 28, 30 (sum 108 = 4 × 27). The largest is 30.

Start the chapter testAbout the NUST NET Quantitative Maths test

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Ways to practise this chapter

Quantitative · Word problems: questions students ask

How many Quantitative · Word problems MCQs are there?

64, each with the answer and a short explanation, across 3 topics: Speed, distance and time, Work and rates, Averages, ages and mixtures. Every chapter test draws ten of them, so you can take it many times.

Is the NUST NET Quantitative Maths chapter 4 test free?

Yes. The test, the answers and the explanations are free and need no sign-up. Sign in only if you want your scores kept across devices.

How is the chapter test marked?

The moment you press Finish: your score, the right answer and an explanation for every question, and the ones you got wrong saved in My mistakes to retry.

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