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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 151 · 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.One number is 2 times another. Their difference is 35. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 35. What is the largest of them?
  3. 3.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  4. 4.The sum of two numbers is 87 and their difference is 5. What is the smaller number?
  5. 5.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?
  6. 6.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  8. 8.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?
  9. 9.The sum of two numbers is 90 and their difference is 80. What is the larger number?
  10. 10.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  11. 11.One number is 3 times another. Their difference is 26. What is the smaller number?
  12. 12.The sum of two numbers is 91 and their difference is 75. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  14. 14.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  15. 15.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  16. 16.The sum of two numbers is 94 and their difference is 40. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  18. 18.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  21. 21.The sum of two numbers is 39 and their difference is 15. What is the larger number?
  22. 22.The sum of two numbers is 46 and their difference is 38. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  24. 24.One number is 2 times another. Their difference is 9. What is the smaller number?
  25. 25.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  26. 26.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  27. 27.One number is 5 times another. Their difference is 76. What is the smaller number?
  28. 28.The sum of two numbers is 129 and their difference is 23. What is the smaller number?
  29. 29.The sum of two numbers is 67 and their difference is 17. What is the smaller number?
  30. 30.One number is 2 times another. Their difference is 31. What is the smaller number?
  31. 31.The sum of two numbers is 126 and their difference is 34. What is the smaller number?
  32. 32.One number is 6 times another. Their difference is 185. What is the smaller number?
  33. 33.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  34. 34.The sum of two numbers is 27 and their difference is 15. What is the larger number?
  35. 35.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  37. 37.One number is 3 times another. Their difference is 64. What is the smaller number?
  38. 38.The sum of two numbers is 56 and their difference is 52. What is the larger number?
  39. 39.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?
  40. 40.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?

Answer key

  1. 35
  2. 9
  3. 31
  4. 41
  5. 46
  6. 36
  7. 40
  8. 89
  9. 85
  10. 67
  11. 13
  12. 8
  13. 41
  14. 37
  15. 69
  16. 27
  17. 16
  18. 29
  19. 57
  20. 5
  21. 27
  22. 4
  23. 42
  24. 9
  25. 32
  26. 58
  27. 19
  28. 53
  29. 25
  30. 31
  31. 46
  32. 37
  33. 50
  34. 21
  35. 33
  36. 17
  37. 32
  38. 54
  39. 24
  40. 14

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