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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 346 · 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.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  2. 2.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  4. 4.One number is 3 times another. Their difference is 58. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  6. 6.The sum of two numbers is 139 and their difference is 19. What is the larger number?
  7. 7.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  8. 8.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  9. 9.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  10. 10.The sum of two numbers is 79 and their difference is 15. What is the smaller number?
  11. 11.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  12. 12.The sum of 4 consecutive even numbers is 260. What is the largest of them?
  13. 13.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  14. 14.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  15. 15.One number is 2 times another. Their difference is 17. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 118. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  19. 19.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  20. 20.The sum of two numbers is 128 and their difference is 4. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 240. What is the largest of them?
  22. 22.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  23. 23.The sum of 4 consecutive numbers is 58. What is the largest of them?
  24. 24.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  25. 25.The sum of two numbers is 34 and their difference is 22. What is the larger number?
  26. 26.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  27. 27.The sum of 5 consecutive numbers is 75. What is the largest of them?
  28. 28.The sum of two numbers is 15 and their difference is 9. What is the smaller number?
  29. 29.One number is 4 times another. Their difference is 33. What is the smaller number?
  30. 30.The sum of two numbers is 66 and their difference is 60. What is the larger number?
  31. 31.One number is 5 times another. Their difference is 104. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  33. 33.One number is 2 times another. Their difference is 30. What is the smaller number?
  34. 34.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  35. 35.One number is 2 times another. Their difference is 36. What is the smaller number?
  36. 36.The sum of 4 consecutive numbers is 42. What is the largest of them?
  37. 37.The sum of two numbers is 93 and their difference is 17. What is the larger number?
  38. 38.One number is 3 times another. Their difference is 30. What is the smaller number?
  39. 39.The sum of two numbers is 79 and their difference is 25. What is the larger number?
  40. 40.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?

Answer key

  1. 49
  2. 70
  3. 50
  4. 29
  5. 42
  6. 79
  7. 75
  8. 25
  9. 16
  10. 32
  11. 61
  12. 68
  13. 49
  14. 23
  15. 17
  16. 31
  17. 28
  18. 36
  19. 21
  20. 62
  21. 50
  22. 31
  23. 16
  24. 57
  25. 28
  26. 68
  27. 17
  28. 3
  29. 11
  30. 63
  31. 26
  32. 10
  33. 30
  34. 59
  35. 36
  36. 12
  37. 55
  38. 15
  39. 52
  40. 24

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