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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 563 · 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 5 consecutive numbers is 75. What is the largest of them?
  2. 2.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  3. 3.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  6. 6.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  7. 7.One number is 6 times another. Their difference is 155. What is the smaller number?
  8. 8.The sum of two numbers is 94 and their difference is 74. What is the larger number?
  9. 9.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  10. 10.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?
  11. 11.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  12. 12.The sum of two numbers is 16 and their difference is 4. What is the larger number?
  13. 13.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  14. 14.The sum of two numbers is 96 and their difference is 8. What is the larger number?
  15. 15.One number is 3 times another. Their difference is 46. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  17. 17.One number is 6 times another. Their difference is 190. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  19. 19.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  20. 20.The sum of two numbers is 21 and their difference is 5. What is the larger number?
  21. 21.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?
  22. 22.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  23. 23.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  24. 24.One number is 6 times another. Their difference is 200. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  26. 26.The sum of two numbers is 89 and their difference is 31. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  28. 28.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  29. 29.One number is 6 times another. Their difference is 45. What is the smaller number?
  30. 30.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  31. 31.The sum of two numbers is 86 and their difference is 28. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  33. 33.The sum of two numbers is 94 and their difference is 2. What is the smaller number?
  34. 34.The sum of two numbers is 138 and their difference is 58. What is the smaller number?
  35. 35.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?
  36. 36.The sum of two numbers is 66 and their difference is 38. What is the larger number?
  37. 37.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  38. 38.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  39. 39.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  40. 40.The sum of 4 consecutive even numbers is 252. What is the smallest of them?

Answer key

  1. 17
  2. 57
  3. 18
  4. 45
  5. 42
  6. 49
  7. 31
  8. 84
  9. 52
  10. 79
  11. 78
  12. 10
  13. 34
  14. 52
  15. 23
  16. 19
  17. 38
  18. 40
  19. 36
  20. 13
  21. 89
  22. 10
  23. 37
  24. 40
  25. 47
  26. 29
  27. 57
  28. 15
  29. 9
  30. 60
  31. 29
  32. 39
  33. 46
  34. 40
  35. 13
  36. 52
  37. 19
  38. 22
  39. 57
  40. 60

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