Högskoleprovet (Sweden) · Quantitative Reasoning

Number, Algebra, Data Sufficiency and Probability

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

All 116 questions

  1. What is the least common multiple of 30 and 15?
  2. If and , what is ?
  3. If , what is the value of ?
  4. 15% of a number is 6. What is the number?
  5. A prize of 117 is shared in the ratio . How much does the larger share receive?
  6. The mean of 4 numbers is 75. Of them, 3 are 80, 71, 82. What is the remaining number?
  7. The equation has two roots. What is the sum of the squares of the roots?
  8. If and , what is ?
  9. On a map with scale 1 : 50000, two towns are 12 cm apart. What is the real distance in kilometres?
  10. A shop buys a guitar for 200, marks it up by 20% and then sells it at a 25% discount on the marked price. What is the profit (negative if a loss)?
  11. How many integers from 1 to 52 are divisible by 5 or by 4 (or both)?
  12. If , what is the value of ?
  13. One pipe fills a cistern in 10 hours and another pipe fills it in 6 hours. How many hours does it take to fill the cistern when both pipes are open?
  14. A 40 kg solution contains 10% salt. After adding 10 kg of pure water, what percentage of the new mixture is salt?
  15. If , what is the value of ?
  16. If and , what is ?

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