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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 982 · 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 168. What is the smallest of them?
  2. 2.The sum of two numbers is 153 and their difference is 31. What is the smaller number?
  3. 3.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?
  4. 4.The sum of two numbers is 106 and their difference is 24. What is the smaller number?
  5. 5.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  6. 6.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?
  7. 7.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?
  8. 8.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?
  9. 9.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  10. 10.The sum of two numbers is 97 and their difference is 31. What is the larger number?
  11. 11.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?
  12. 12.The sum of two numbers is 19 and their difference is 7. What is the smaller number?
  13. 13.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?
  14. 14.The sum of two numbers is 111 and their difference is 31. What is the smaller number?
  15. 15.One number is 3 times another. Their difference is 80. What is the smaller number?
  16. 16.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  17. 17.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  18. 18.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  19. 19.The sum of 5 consecutive numbers is 75. What is the largest of them?
  20. 20.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  21. 21.The sum of two numbers is 15 and their difference is 9. What is the larger number?
  22. 22.The sum of two numbers is 57 and their difference is 5. What is the larger number?
  23. 23.The sum of two numbers is 140 and their difference is 54. What is the smaller number?
  24. 24.The sum of two numbers is 99 and their difference is 27. What is the smaller number?
  25. 25.The sum of two numbers is 100 and their difference is 20. What is the larger number?
  26. 26.The sum of two numbers is 113 and their difference is 11. What is the larger number?
  27. 27.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?
  28. 28.The sum of 4 consecutive numbers is 94. What is the largest of them?
  29. 29.The sum of two numbers is 52 and their difference is 36. What is the smaller number?
  30. 30.The sum of 5 consecutive numbers is 265. What is the largest of them?
  31. 31.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  32. 32.The sum of two numbers is 42 and their difference is 24. What is the larger number?
  33. 33.The sum of 5 consecutive numbers is 100. What is the largest of them?
  34. 34.The sum of two numbers is 54 and their difference is 42. What is the smaller number?
  35. 35.The sum of two numbers is 88 and their difference is 42. What is the smaller number?
  36. 36.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  37. 37.The sum of two numbers is 44 and their difference is 26. What is the larger number?
  38. 38.The sum of 3 consecutive numbers is 141. What is the largest of them?
  39. 39.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  40. 40.The sum of 5 consecutive numbers is 140. What is the smallest of them?

Answer key

  1. 55
  2. 61
  3. 45
  4. 41
  5. 29
  6. 24
  7. 59
  8. 78
  9. 63
  10. 64
  11. 18
  12. 6
  13. 48
  14. 40
  15. 40
  16. 64
  17. 43
  18. 72
  19. 17
  20. 47
  21. 12
  22. 31
  23. 43
  24. 36
  25. 60
  26. 62
  27. 67
  28. 25
  29. 8
  30. 55
  31. 13
  32. 33
  33. 22
  34. 6
  35. 23
  36. 23
  37. 35
  38. 48
  39. 46
  40. 26

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