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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 121 · 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 two numbers is 42 and their difference is 40. What is the smaller number?
  2. 2.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?
  3. 3.The sum of 4 consecutive numbers is 186. What is the smallest of them?
  4. 4.The sum of 3 consecutive odd numbers is 75. 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 9. What is the number?
  6. 6.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 162. What is the largest of them?
  8. 8.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  10. 10.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  11. 11.One number is 5 times another. Their difference is 28. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 3 consecutive numbers is 18. What is the largest of them?
  14. 14.One number is 4 times another. Their difference is 12. What is the smaller number?
  15. 15.One number is 3 times another. Their difference is 22. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 66. What is the largest of them?
  18. 18.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  19. 19.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  20. 20.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?
  21. 21.The sum of two numbers is 173 and their difference is 15. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  23. 23.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  24. 24.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  26. 26.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?
  27. 27.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  28. 28.The sum of two numbers is 113 and their difference is 11. What is the smaller number?
  29. 29.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  30. 30.One number is 6 times another. Their difference is 30. What is the smaller number?
  31. 31.One number is 6 times another. Their difference is 135. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  33. 33.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  34. 34.One number is 4 times another. Their difference is 18. What is the smaller number?
  35. 35.One number is 4 times another. Their difference is 69. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 66. What is the smaller number?
  37. 37.One number is 2 times another. Their difference is 27. What is the smaller number?
  38. 38.One number is 4 times another. Their difference is 99. What is the smaller number?
  39. 39.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  40. 40.The sum of two numbers is 152 and their difference is 20. What is the larger number?

Answer key

  1. 1
  2. 24
  3. 45
  4. 27
  5. 67
  6. 64
  7. 55
  8. 10
  9. 44
  10. 48
  11. 7
  12. 79
  13. 7
  14. 4
  15. 11
  16. 29
  17. 23
  18. 37
  19. 49
  20. 16
  21. 79
  22. 28
  23. 22
  24. 62
  25. 12
  26. 48
  27. 53
  28. 51
  29. 23
  30. 6
  31. 27
  32. 30
  33. 57
  34. 6
  35. 23
  36. 33
  37. 27
  38. 33
  39. 39
  40. 86

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