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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 334 · 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 3 consecutive numbers is 54. What is the largest of them?
  2. 2.The sum of 3 consecutive numbers is 39. What is the largest of them?
  3. 3.One number is 2 times another. Their difference is 7. What is the smaller number?
  4. 4.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  5. 5.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?
  6. 6.The sum of 3 consecutive numbers is 93. What is the largest of them?
  7. 7.One number is 3 times another. Their difference is 26. What is the smaller number?
  8. 8.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  9. 9.The sum of two numbers is 153 and their difference is 37. What is the larger number?
  10. 10.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  11. 11.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 226. What is the largest of them?
  13. 13.The sum of two numbers is 106 and their difference is 72. What is the smaller number?
  14. 14.One number is 3 times another. Their difference is 56. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 90. What is the largest of them?
  16. 16.The sum of two numbers is 92 and their difference is 88. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 114. What is the largest of them?
  18. 18.The sum of 3 consecutive numbers is 30. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 210. What is the largest of them?
  20. 20.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  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 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 digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  24. 24.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  25. 25.The sum of 4 consecutive numbers is 98. What is the smallest of them?
  26. 26.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  27. 27.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  28. 28.One number is 4 times another. Their difference is 120. What is the smaller number?
  29. 29.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  30. 30.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?
  31. 31.The sum of two numbers is 154 and their difference is 14. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  33. 33.The sum of two numbers is 72 and their difference is 70. What is the larger number?
  34. 34.One number is 6 times another. Their difference is 130. What is the smaller number?
  35. 35.The sum of two numbers is 39 and their difference is 11. What is the smaller number?
  36. 36.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  37. 37.The sum of two numbers is 130 and their difference is 10. What is the larger number?
  38. 38.The sum of two numbers is 112 and their difference is 42. What is the smaller number?
  39. 39.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?
  40. 40.The sum of 4 consecutive even numbers is 236. What is the smallest of them?

Answer key

  1. 19
  2. 14
  3. 7
  4. 28
  5. 58
  6. 32
  7. 13
  8. 20
  9. 95
  10. 22
  11. 26
  12. 58
  13. 17
  14. 28
  15. 31
  16. 2
  17. 39
  18. 11
  19. 44
  20. 67
  21. 89
  22. 46
  23. 27
  24. 36
  25. 23
  26. 44
  27. 56
  28. 40
  29. 35
  30. 34
  31. 70
  32. 15
  33. 71
  34. 26
  35. 14
  36. 46
  37. 70
  38. 35
  39. 15
  40. 56

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