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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 598 · 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 two numbers is 152 and their difference is 44. What is the larger number?
  2. 2.One number is 3 times another. Their difference is 44. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 94. What is the largest of them?
  4. 4.One number is 3 times another. Their difference is 16. What is the smaller number?
  5. 5.The sum of two numbers is 30 and their difference is 8. What is the smaller number?
  6. 6.One number is 4 times another. Their difference is 84. What is the smaller number?
  7. 7.One number is 5 times another. Their difference is 144. What is the smaller number?
  8. 8.The sum of 4 consecutive numbers is 238. What is the largest of them?
  9. 9.One number is 2 times another. Their difference is 27. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  11. 11.One number is 3 times another. Their difference is 48. What is the smaller number?
  12. 12.The sum of two numbers is 35 and their difference is 23. What is the larger number?
  13. 13.The sum of two numbers is 118 and their difference is 26. What is the smaller number?
  14. 14.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  15. 15.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  16. 16.The sum of two numbers is 44 and their difference is 6. What is the larger number?
  17. 17.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  18. 18.The sum of two numbers is 63 and their difference is 57. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  20. 20.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  21. 21.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  22. 22.The sum of two numbers is 151 and their difference is 29. What is the larger number?
  23. 23.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?
  24. 24.One number is 2 times another. Their difference is 12. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  26. 26.The sum of two numbers is 56 and their difference is 32. What is the smaller number?
  27. 27.The sum of two numbers is 94 and their difference is 88. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 60. What is the largest of them?
  29. 29.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  30. 30.The sum of two numbers is 109 and their difference is 61. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  32. 32.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  33. 33.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  34. 34.One number is 4 times another. Their difference is 30. What is the smaller number?
  35. 35.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  36. 36.The sum of two numbers is 111 and their difference is 25. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  38. 38.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?
  39. 39.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  40. 40.The sum of two numbers is 94 and their difference is 14. What is the larger number?

Answer key

  1. 98
  2. 22
  3. 25
  4. 8
  5. 11
  6. 28
  7. 36
  8. 61
  9. 27
  10. 15
  11. 24
  12. 29
  13. 46
  14. 35
  15. 12
  16. 25
  17. 39
  18. 3
  19. 41
  20. 26
  21. 21
  22. 90
  23. 17
  24. 12
  25. 30
  26. 12
  27. 3
  28. 21
  29. 81
  30. 24
  31. 19
  32. 12
  33. 57
  34. 10
  35. 33
  36. 43
  37. 59
  38. 89
  39. 69
  40. 54

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