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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 294 · 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 even numbers is 84. What is the largest of them?
  2. 2.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  3. 3.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  4. 4.One number is 2 times another. Their difference is 4. What is the smaller number?
  5. 5.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  6. 6.The sum of two numbers is 49 and their difference is 37. What is the smaller number?
  7. 7.The sum of two numbers is 179 and their difference is 19. What is the smaller number?
  8. 8.One number is 6 times another. Their difference is 140. What is the smaller number?
  9. 9.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
  10. 10.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  11. 11.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  12. 12.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?
  13. 13.The sum of two numbers is 129 and their difference is 63. What is the smaller number?
  14. 14.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  15. 15.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  16. 16.One number is 5 times another. Their difference is 64. What is the smaller number?
  17. 17.One number is 2 times another. Their difference is 33. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 174. What is the largest of them?
  19. 19.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  20. 20.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  21. 21.The sum of two numbers is 30 and their difference is 20. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  23. 23.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?
  24. 24.The sum of two numbers is 111 and their difference is 57. What is the smaller number?
  25. 25.The sum of two numbers is 23 and their difference is 15. What is the smaller number?
  26. 26.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  27. 27.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  28. 28.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  29. 29.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  30. 30.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  31. 31.One number is 3 times another. Their difference is 54. What is the smaller number?
  32. 32.The sum of two numbers is 88 and their difference is 10. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  34. 34.The sum of two numbers is 27 and their difference is 15. What is the larger number?
  35. 35.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  36. 36.The sum of 3 consecutive numbers is 75. What is the smallest of them?
  37. 37.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  38. 38.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  39. 39.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  40. 40.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?

Answer key

  1. 30
  2. 61
  3. 35
  4. 4
  5. 74
  6. 6
  7. 80
  8. 28
  9. 53
  10. 56
  11. 16
  12. 16
  13. 33
  14. 17
  15. 10
  16. 16
  17. 33
  18. 59
  19. 24
  20. 25
  21. 5
  22. 16
  23. 24
  24. 27
  25. 4
  26. 89
  27. 26
  28. 50
  29. 63
  30. 40
  31. 27
  32. 39
  33. 29
  34. 21
  35. 26
  36. 24
  37. 27
  38. 23
  39. 45
  40. 13

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