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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 177 · 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 even numbers is 222. What is the largest of them?
  2. 2.The sum of 3 consecutive numbers is 162. What is the largest of them?
  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 two numbers is 19 and their difference is 7. What is the larger number?
  5. 5.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  6. 6.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  7. 7.The sum of two numbers is 39 and their difference is 17. What is the smaller number?
  8. 8.The sum of two numbers is 72 and their difference is 38. What is the larger number?
  9. 9.One number is 3 times another. Their difference is 56. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  11. 11.One number is 2 times another. Their difference is 5. What is the smaller number?
  12. 12.The sum of 4 consecutive numbers is 94. What is the largest of them?
  13. 13.One number is 4 times another. Their difference is 15. What is the smaller number?
  14. 14.The sum of two numbers is 89 and their difference is 17. What is the smaller number?
  15. 15.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?
  16. 16.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  17. 17.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  18. 18.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  19. 19.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  20. 20.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  21. 21.One number is 2 times another. Their difference is 12. What is the smaller number?
  22. 22.The sum of two numbers is 115 and their difference is 63. What is the larger number?
  23. 23.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?
  24. 24.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  27. 27.The sum of two numbers is 24 and their difference is 20. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  29. 29.The sum of two numbers is 30 and their difference is 22. What is the larger number?
  30. 30.The sum of two numbers is 39 and their difference is 11. What is the larger number?
  31. 31.The sum of two numbers is 62 and their difference is 18. What is the larger number?
  32. 32.One number is 6 times another. Their difference is 90. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  34. 34.The sum of 4 consecutive even numbers is 276. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.One number is 5 times another. Their difference is 116. What is the smaller number?
  37. 37.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?
  38. 38.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?
  39. 39.The sum of two numbers is 49 and their difference is 15. What is the larger number?
  40. 40.The sum of 5 consecutive numbers is 110. What is the largest of them?

Answer key

  1. 76
  2. 55
  3. 24
  4. 13
  5. 13
  6. 37
  7. 11
  8. 55
  9. 28
  10. 46
  11. 5
  12. 25
  13. 5
  14. 36
  15. 48
  16. 45
  17. 59
  18. 38
  19. 58
  20. 15
  21. 12
  22. 89
  23. 29
  24. 11
  25. 12
  26. 75
  27. 2
  28. 55
  29. 26
  30. 25
  31. 40
  32. 18
  33. 79
  34. 72
  35. 13
  36. 29
  37. 89
  38. 34
  39. 32
  40. 24

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