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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 906 · 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).

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  1. 1.The sum of two numbers is 111 and their difference is 43. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 165. What is the largest of them?
  3. 3.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  4. 4.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?
  5. 5.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  6. 6.The sum of two numbers is 38 and their difference is 18. What is the smaller number?
  7. 7.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  8. 8.The sum of two numbers is 14 and their difference is 6. What is the larger number?
  9. 9.The sum of two numbers is 50 and their difference is 42. What is the smaller number?
  10. 10.The sum of two numbers is 31 and their difference is 29. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  12. 12.The sum of two numbers is 23 and their difference is 13. What is the larger number?
  13. 13.The sum of 3 consecutive numbers is 63. What is the largest of them?
  14. 14.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  15. 15.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  16. 16.One number is 6 times another. Their difference is 145. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  18. 18.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  19. 19.The sum of two numbers is 102 and their difference is 74. What is the larger number?
  20. 20.One number is 2 times another. Their difference is 31. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  22. 22.The sum of 4 consecutive numbers is 94. What is the smallest of them?
  23. 23.The sum of two numbers is 99 and their difference is 67. What is the larger number?
  24. 24.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  25. 25.One number is 6 times another. Their difference is 20. What is the smaller number?
  26. 26.One number is 5 times another. Their difference is 112. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 166. What is the largest of them?
  28. 28.One number is 5 times another. Their difference is 100. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 18. What is the largest of them?
  30. 30.The sum of 5 consecutive numbers is 175. What is the largest of them?
  31. 31.The sum of two numbers is 99 and their difference is 83. What is the larger number?
  32. 32.The sum of two numbers is 18 and their difference is 2. What is the larger number?
  33. 33.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  34. 34.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  37. 37.The sum of 3 consecutive even numbers is 228. What is the largest of them?
  38. 38.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?
  39. 39.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  40. 40.One number is 2 times another. Their difference is 8. What is the smaller number?

Answer key

  1. 34
  2. 35
  3. 42
  4. 39
  5. 27
  6. 10
  7. 20
  8. 10
  9. 4
  10. 1
  11. 26
  12. 18
  13. 22
  14. 37
  15. 57
  16. 29
  17. 26
  18. 23
  19. 88
  20. 31
  21. 41
  22. 22
  23. 83
  24. 63
  25. 4
  26. 28
  27. 43
  28. 25
  29. 7
  30. 37
  31. 91
  32. 10
  33. 39
  34. 8
  35. 40
  36. 49
  37. 78
  38. 56
  39. 85
  40. 8

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