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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 837 · 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 numbers is 141. What is the smallest of them?
  2. 2.The sum of two numbers is 195 and their difference is 1. What is the smaller number?
  3. 3.The sum of two numbers is 111 and their difference is 53. What is the larger number?
  4. 4.The sum of two numbers is 44 and their difference is 40. What is the larger number?
  5. 5.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 305. What is the largest of them?
  7. 7.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  8. 8.One number is 5 times another. Their difference is 120. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 62. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  11. 11.One number is 2 times another. Their difference is 31. What is the smaller number?
  12. 12.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  13. 13.The sum of two numbers is 57 and their difference is 45. What is the larger number?
  14. 14.One number is 3 times another. Their difference is 32. What is the smaller number?
  15. 15.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  16. 16.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  17. 17.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  18. 18.One number is 2 times another. Their difference is 19. What is the smaller number?
  19. 19.The sum of two numbers is 76 and their difference is 46. What is the larger number?
  20. 20.One number is 3 times another. Their difference is 66. What is the smaller number?
  21. 21.The sum of two numbers is 157 and their difference is 5. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 235. What is the largest of them?
  23. 23.One number is 4 times another. Their difference is 72. What is the smaller number?
  24. 24.One number is 3 times another. Their difference is 28. What is the smaller number?
  25. 25.One number is 2 times another. Their difference is 6. What is the smaller number?
  26. 26.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  27. 27.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  28. 28.The sum of two numbers is 97 and their difference is 93. What is the larger number?
  29. 29.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?
  30. 30.One number is 5 times another. Their difference is 136. What is the smaller number?
  31. 31.The sum of two numbers is 44 and their difference is 24. What is the smaller number?
  32. 32.The sum of two numbers is 145 and their difference is 37. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  34. 34.The sum of 3 consecutive even numbers is 138. What is the largest of them?
  35. 35.One number is 2 times another. Their difference is 3. What is the smaller number?
  36. 36.One number is 5 times another. Their difference is 144. What is the smaller number?
  37. 37.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  38. 38.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  39. 39.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?
  40. 40.The sum of two numbers is 19 and their difference is 15. What is the smaller number?

Answer key

  1. 46
  2. 97
  3. 82
  4. 42
  5. 38
  6. 63
  7. 56
  8. 30
  9. 17
  10. 27
  11. 31
  12. 38
  13. 51
  14. 16
  15. 45
  16. 29
  17. 81
  18. 19
  19. 61
  20. 33
  21. 76
  22. 49
  23. 24
  24. 14
  25. 6
  26. 25
  27. 57
  28. 95
  29. 25
  30. 34
  31. 10
  32. 54
  33. 22
  34. 48
  35. 3
  36. 36
  37. 25
  38. 29
  39. 13
  40. 2

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