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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 766 · 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 178 and their difference is 16. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 200. What is the largest of them?
  5. 5.One number is 2 times another. Their difference is 34. What is the smaller number?
  6. 6.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?
  7. 7.The sum of 5 consecutive numbers is 90. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  9. 9.One number is 3 times another. Their difference is 8. What is the smaller number?
  10. 10.One number is 6 times another. Their difference is 125. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  12. 12.The sum of two numbers is 59 and their difference is 45. What is the larger number?
  13. 13.One number is 4 times another. Their difference is 78. What is the smaller number?
  14. 14.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  15. 15.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  16. 16.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  17. 17.One number is 4 times another. Their difference is 114. What is the smaller number?
  18. 18.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  19. 19.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  20. 20.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?
  21. 21.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  22. 22.The sum of two numbers is 18 and their difference is 2. What is the larger number?
  23. 23.The sum of two numbers is 119 and their difference is 69. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 183. What is the largest of them?
  25. 25.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of two numbers is 132 and their difference is 22. What is the smaller number?
  28. 28.One number is 5 times another. Their difference is 20. What is the smaller number?
  29. 29.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?
  30. 30.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  31. 31.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 34. What is the largest of them?
  33. 33.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  34. 34.The sum of two numbers is 34 and their difference is 10. What is the larger number?
  35. 35.The sum of two numbers is 67 and their difference is 49. What is the smaller number?
  36. 36.One number is 4 times another. Their difference is 66. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  38. 38.The sum of two numbers is 136 and their difference is 18. What is the larger number?
  39. 39.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  40. 40.The sum of two numbers is 52 and their difference is 14. What is the smaller number?

Answer key

  1. 81
  2. 38
  3. 32
  4. 42
  5. 34
  6. 68
  7. 20
  8. 57
  9. 4
  10. 25
  11. 52
  12. 52
  13. 26
  14. 12
  15. 21
  16. 73
  17. 38
  18. 9
  19. 31
  20. 89
  21. 76
  22. 10
  23. 25
  24. 62
  25. 42
  26. 24
  27. 55
  28. 5
  29. 26
  30. 18
  31. 40
  32. 10
  33. 39
  34. 22
  35. 9
  36. 22
  37. 13
  38. 77
  39. 60
  40. 19

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