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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 29 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.One number is 3 times another. Their difference is 42. What is the smaller number?
  2. 2.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  3. 3.One number is 6 times another. Their difference is 115. What is the smaller number?
  4. 4.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  5. 5.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  6. 6.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  8. 8.The sum of 4 consecutive numbers is 118. What is the largest of them?
  9. 9.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  10. 10.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  11. 11.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  12. 12.The sum of two numbers is 55 and their difference is 11. What is the larger number?
  13. 13.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  14. 14.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  15. 15.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  16. 16.The sum of two numbers is 99 and their difference is 23. What is the larger number?
  17. 17.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  18. 18.The sum of two numbers is 86 and their difference is 26. What is the larger number?
  19. 19.The sum of 5 consecutive numbers is 245. What is the largest of them?
  20. 20.The sum of two numbers is 41 and their difference is 37. What is the smaller number?
  21. 21.One number is 3 times another. Their difference is 8. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  23. 23.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  24. 24.The sum of two numbers is 60 and their difference is 24. What is the larger number?
  25. 25.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  27. 27.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  28. 28.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  29. 29.The sum of two numbers is 72 and their difference is 60. What is the larger number?
  30. 30.The sum of 3 consecutive numbers is 99. What is the largest of them?
  31. 31.The sum of two numbers is 25 and their difference is 9. What is the smaller number?
  32. 32.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  33. 33.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  34. 34.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  35. 35.The sum of two numbers is 54 and their difference is 48. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  37. 37.One number is 5 times another. Their difference is 96. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  39. 39.The sum of 4 consecutive numbers is 246. What is the largest of them?
  40. 40.The sum of 3 consecutive even numbers is 84. What is the largest of them?

Answer key

  1. 21
  2. 28
  3. 23
  4. 15
  5. 79
  6. 77
  7. 41
  8. 31
  9. 48
  10. 47
  11. 75
  12. 33
  13. 61
  14. 35
  15. 31
  16. 61
  17. 80
  18. 56
  19. 51
  20. 2
  21. 4
  22. 46
  23. 58
  24. 42
  25. 59
  26. 71
  27. 45
  28. 41
  29. 66
  30. 34
  31. 8
  32. 13
  33. 42
  34. 51
  35. 3
  36. 44
  37. 24
  38. 16
  39. 63
  40. 30

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