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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 794 · 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 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?
  2. 2.One number is 3 times another. Their difference is 60. What is the smaller number?
  3. 3.One number is 6 times another. Their difference is 175. What is the smaller number?
  4. 4.One number is 2 times another. Their difference is 8. What is the smaller number?
  5. 5.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  6. 6.The sum of 4 consecutive numbers is 94. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  10. 10.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  11. 11.The sum of 3 consecutive numbers is 57. What is the largest of them?
  12. 12.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?
  13. 13.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?
  14. 14.The sum of 5 consecutive numbers is 95. What is the largest of them?
  15. 15.The sum of two numbers is 87 and their difference is 7. What is the smaller number?
  16. 16.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  17. 17.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?
  18. 18.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  19. 19.The sum of 5 consecutive numbers is 110. 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 odd numbers is 40. What is the smallest of them?
  22. 22.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  23. 23.The sum of two numbers is 63 and their difference is 41. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 4 consecutive numbers is 186. What is the largest of them?
  26. 26.One number is 2 times another. Their difference is 10. What is the smaller number?
  27. 27.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  28. 28.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?
  29. 29.The sum of two numbers is 32 and their difference is 14. What is the larger number?
  30. 30.One number is 3 times another. Their difference is 12. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  32. 32.The sum of two numbers is 81 and their difference is 45. What is the larger number?
  33. 33.The sum of 4 consecutive numbers is 218. What is the largest of them?
  34. 34.The sum of two numbers is 98 and their difference is 80. What is the larger number?
  35. 35.One number is 2 times another. Their difference is 21. What is the smaller number?
  36. 36.One number is 4 times another. Their difference is 114. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  38. 38.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  39. 39.One number is 3 times another. Their difference is 32. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?

Answer key

  1. 45
  2. 30
  3. 35
  4. 8
  5. 39
  6. 22
  7. 57
  8. 20
  9. 55
  10. 18
  11. 20
  12. 68
  13. 17
  14. 21
  15. 40
  16. 25
  17. 29
  18. 58
  19. 20
  20. 89
  21. 7
  22. 46
  23. 11
  24. 34
  25. 48
  26. 10
  27. 40
  28. 38
  29. 23
  30. 6
  31. 85
  32. 63
  33. 56
  34. 89
  35. 21
  36. 38
  37. 60
  38. 21
  39. 16
  40. 39

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