Sciences Po and Grandes Ecoles Entrance Practice · Reading and Logic

Quantitative Reasoning

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

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

All 38 questions

  1. 75 euros are shared between two people in the ratio 4 : 1. How much does the first person receive?
  2. 200 euros are shared between two people in the ratio 3 : 2. How much does the first person receive?
  3. A price of 1200 euros rises by 5 % and then falls by 5 %. What is the final price?
  4. 100 euros are shared between two people in the ratio 1 : 4. How much does the first person receive?
  5. 6 workers need 10 days for a job. How many days would 5 workers need at the same pace?
  6. The share of a party in the polls goes from 60 % to 54 %. By how many percentage points does it change (absolute value)?
  7. A car drives 120 km at 60 km/h and returns the same 120 km at 40 km/h. What is its average speed over the whole trip?
  8. A student scores 90 in an exam with weight 3 and 70 in an exam with weight 2. What is the weighted average?
  9. 8 workers need 9 days for a job. How many days would 6 workers need at the same pace?
  10. Which number continues the sequence 5, 7, 9, 11, 13, ...?
  11. Which number continues the sequence 9, 13, 17, 21, 25, ...?
  12. A student scores 60 in an exam with weight 1 and 90 in an exam with weight 2. What is the weighted average?
  13. 3 workers need 20 days for a job. How many days would 5 workers need at the same pace?
  14. A car drives 180 km at 90 km/h and returns the same 180 km at 60 km/h. What is its average speed over the whole trip?
  15. A price of 80 euros rises by 25 % and then falls by 25 %. What is the final price?
  16. A car drives 90 km at 45 km/h and returns the same 90 km at 30 km/h. What is its average speed over the whole trip?
  17. The share of a party in the polls goes from 10 % to 15 %. By how many percentage points does it change (absolute value)?
  18. The share of a party in the polls goes from 45 % to 50 %. By how many percentage points does it change (absolute value)?
  19. Which number continues the sequence 2, 6, 10, 14, 18, ...?
  20. 4 workers need 12 days for a job. How many days would 6 workers need at the same pace?
  21. 5 workers need 12 days for a job. How many days would 10 workers need at the same pace?
  22. 160 euros are shared between two people in the ratio 3 : 5. How much does the first person receive?
  23. A car drives 240 km at 80 km/h and returns the same 240 km at 60 km/h. What is its average speed over the whole trip?
  24. Which number continues the sequence 7, 11, 15, 19, 23, ...?
  25. Which number continues the sequence 8, 12, 16, 20, 24, ...?
  26. A price of 200 euros rises by 20 % and then falls by 20 %. What is the final price?
  27. Which number continues the sequence 7, 9, 11, 13, 15, ...?
  28. A student scores 80 in an exam with weight 2 and 60 in an exam with weight 3. What is the weighted average?
  29. Which number continues the sequence 8, 15, 22, 29, 36, ...?
  30. 250 euros are shared between two people in the ratio 2 : 3. How much does the first person receive?
  31. Which number continues the sequence 4, 11, 18, 25, 32, ...?
  32. A student scores 70 in an exam with weight 3 and 80 in an exam with weight 1. What is the weighted average?
  33. The share of a party in the polls goes from 20 % to 25 %. By how many percentage points does it change (absolute value)?
  34. The share of a party in the polls goes from 30 % to 36 %. By how many percentage points does it change (absolute value)?
  35. 90 euros are shared between two people in the ratio 2 : 7. How much does the first person receive?
  36. 10 workers need 6 days for a job. How many days would 4 workers need at the same pace?
  37. A price of 500 euros rises by 10 % and then falls by 10 %. What is the final price?
  38. A price of 250 euros rises by 40 % and then falls by 40 %. What is the final price?

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