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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 577 · 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 181 and their difference is 1. What is the larger number?
  2. 2.The sum of two numbers is 66 and their difference is 32. What is the larger number?
  3. 3.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?
  4. 4.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  5. 5.The sum of 5 consecutive numbers is 295. What is the largest of them?
  6. 6.One number is 6 times another. Their difference is 105. What is the smaller number?
  7. 7.The sum of two numbers is 17 and their difference is 5. What is the larger number?
  8. 8.The sum of two numbers is 72 and their difference is 56. What is the smaller number?
  9. 9.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  10. 10.The sum of 5 consecutive numbers is 195. What is the largest of them?
  11. 11.The sum of two numbers is 33 and their difference is 23. What is the larger number?
  12. 12.One number is 2 times another. Their difference is 5. What is the smaller number?
  13. 13.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  14. 14.One number is 5 times another. Their difference is 140. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 115. What is the largest of them?
  16. 16.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?
  17. 17.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  18. 18.One number is 5 times another. Their difference is 44. What is the smaller number?
  19. 19.The sum of two numbers is 46 and their difference is 38. What is the smaller number?
  20. 20.The sum of two numbers is 29 and their difference is 25. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  22. 22.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  23. 23.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  24. 24.One number is 2 times another. Their difference is 10. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  27. 27.The sum of 4 consecutive numbers is 186. What is the largest of them?
  28. 28.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  29. 29.The sum of two numbers is 44 and their difference is 2. What is the larger number?
  30. 30.The sum of two numbers is 127 and their difference is 7. What is the larger number?
  31. 31.The sum of two numbers is 104 and their difference is 80. What is the larger number?
  32. 32.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  33. 33.The sum of two numbers is 20 and their difference is 18. What is the smaller number?
  34. 34.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  35. 35.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?
  36. 36.One number is 6 times another. Their difference is 180. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  38. 38.The sum of two numbers is 102 and their difference is 80. What is the larger number?
  39. 39.The sum of two numbers is 147 and their difference is 45. What is the larger number?
  40. 40.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?

Answer key

  1. 91
  2. 49
  3. 24
  4. 16
  5. 61
  6. 21
  7. 11
  8. 8
  9. 43
  10. 41
  11. 28
  12. 5
  13. 48
  14. 35
  15. 25
  16. 17
  17. 59
  18. 11
  19. 4
  20. 2
  21. 19
  22. 49
  23. 22
  24. 10
  25. 40
  26. 29
  27. 48
  28. 67
  29. 23
  30. 67
  31. 92
  32. 71
  33. 1
  34. 37
  35. 78
  36. 36
  37. 42
  38. 91
  39. 96
  40. 48

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