Qudurat GAT (Saudi Arabia) · Quantitative Reasoning

Arithmetic, algebra and comparisons

55 practice questions, each with the answer and an explanation.

Practise Arithmetic, algebra and comparisons now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 55 questions

  1. The ratio of boys to girls in a class is 3 : 5. If there are 72 students in all, how many girls are there?
  2. The ratio of boys to girls in a class is 3 : 5. If there are 32 students in all, how many girls are there?
  3. The ratio of boys to girls in a class is 2 : 3. If there are 30 students in all, how many girls are there?
  4. The ratio of boys to girls in a class is 3 : 5. If there are 96 students in all, how many girls are there?
  5. The ratio of boys to girls in a class is 3 : 5. If there are 80 students in all, how many girls are there?
  6. The ratio of boys to girls in a class is 5 : 9. If there are 56 students in all, how many girls are there?
  7. The ratio of boys to girls in a class is 5 : 8. If there are 143 students in all, how many girls are there?
  8. 12 workers can finish a job in 5 days. How many days would 4 workers need, working at the same rate?
  9. 10 workers can finish a job in 6 days. How many days would 15 workers need, working at the same rate?
  10. 6 workers can finish a job in 10 days. How many days would 4 workers need, working at the same rate?
  11. 9 workers can finish a job in 8 days. How many days would 6 workers need, working at the same rate?
  12. 5 workers can finish a job in 12 days. How many days would 10 workers need, working at the same rate?
  13. A price is reduced by 30% and then by a further 20%. What is the single equivalent reduction?
  14. A price is reduced by 25% and then by a further 30%. What is the single equivalent reduction?
  15. A price is reduced by 25% and then by a further 10%. What is the single equivalent reduction?
  16. A price is reduced by 40% and then by a further 20%. What is the single equivalent reduction?
  17. A price is reduced by 25% and then by a further 20%. What is the single equivalent reduction?
  18. A price is reduced by 20% and then by a further 25%. What is the single equivalent reduction?
  19. A price is reduced by 10% and then by a further 10%. What is the single equivalent reduction?
  20. A price is reduced by 40% and then by a further 25%. What is the single equivalent reduction?
  21. A car travels 100 km at 50 km/h and then 100 km at 25 km/h. What is its average speed for the whole trip?
  22. A car travels 60 km at 30 km/h and then 60 km at 60 km/h. What is its average speed for the whole trip?
  23. A car travels 150 km at 75 km/h and then 150 km at 50 km/h. What is its average speed for the whole trip?
  24. A car travels 90 km at 45 km/h and then 90 km at 90 km/h. What is its average speed for the whole trip?
  25. A car travels 120 km at 60 km/h and then 120 km at 40 km/h. What is its average speed for the whole trip?
  26. Column A: 6/5. Column B: 8/2. Which statement is correct?
  27. Column A: 7/4. Column B: 7/3. Which statement is correct?
  28. Column A: 6/5. Column B: 6/2. Which statement is correct?
  29. Column A: 3/8. Column B: 3/5. Which statement is correct?
  30. Column A: 5/5. Column B: 6/9. Which statement is correct?
  31. Column A: 8/6. Column B: 6/7. Which statement is correct?
  32. Column A: 5/8. Column B: 6/5. Which statement is correct?
  33. Column A: 4/7. Column B: 4/3. Which statement is correct?
  34. Which value is equal to 2 to the power 3?
  35. Which value is equal to 6 to the power 5?
  36. Which value is equal to 3 to the power 4?
  37. Calculate 2/3 + 1/4.
  38. Calculate 1/3 + 1/6.
  39. Calculate 2/5 + 1/8.
  40. Calculate 1/3 + 3/10.
  41. Calculate 1/2 + 1/4.
  42. In a group of 95 students, 27 study Arabic, 32 study French and 12 study both. How many study neither?
  43. In a group of 73 students, 33 study Arabic, 22 study French and 6 study both. How many study neither?
  44. In a group of 71 students, 28 study Arabic, 35 study French and 7 study both. How many study neither?
  45. In a group of 89 students, 17 study Arabic, 35 study French and 7 study both. How many study neither?
  46. In a group of 48 students, 18 study Arabic, 21 study French and 11 study both. How many study neither?
  47. In a group of 78 students, 17 study Arabic, 22 study French and 4 study both. How many study neither?
  48. In a group of 85 students, 32 study Arabic, 24 study French and 10 study both. How many study neither?
  49. In a group of 62 students, 17 study Arabic, 32 study French and 6 study both. How many study neither?
  50. 6 litres of a 10% salt solution are mixed with 4 litres of a 40% salt solution. What is the concentration of the mixture?
  51. 2 litres of a 30% salt solution are mixed with 8 litres of a 40% salt solution. What is the concentration of the mixture?
  52. 3 litres of a 10% salt solution are mixed with 4 litres of a 50% salt solution. What is the concentration of the mixture?
  53. 3 litres of a 30% salt solution are mixed with 5 litres of a 60% salt solution. What is the concentration of the mixture?
  54. 2 litres of a 10% salt solution are mixed with 7 litres of a 50% salt solution. What is the concentration of the mixture?
  55. 3 litres of a 20% salt solution are mixed with 4 litres of a 50% salt solution. What is the concentration of the mixture?

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