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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 73 · 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.One number is 6 times another. Their difference is 120. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  3. 3.One number is 5 times another. Their difference is 20. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  5. 5.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
  6. 6.One number is 6 times another. Their difference is 50. What is the smaller number?
  7. 7.The sum of two numbers is 99 and their difference is 51. What is the smaller number?
  8. 8.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?
  9. 9.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?
  10. 10.One number is 2 times another. Their difference is 25. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 70. What is the largest of them?
  12. 12.The sum of two numbers is 178 and their difference is 6. What is the smaller number?
  13. 13.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  14. 14.The sum of two numbers is 108 and their difference is 72. What is the smaller number?
  15. 15.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  16. 16.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?
  17. 17.The sum of 3 consecutive numbers is 57. What is the largest of them?
  18. 18.One number is 3 times another. Their difference is 26. What is the smaller number?
  19. 19.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?
  20. 20.One number is 3 times another. Their difference is 78. What is the smaller number?
  21. 21.The sum of two numbers is 92 and their difference is 46. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  23. 23.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  24. 24.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  25. 25.The sum of two numbers is 38 and their difference is 6. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 238. What is the largest of them?
  27. 27.The sum of two numbers is 25 and their difference is 19. What is the larger number?
  28. 28.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  29. 29.The sum of two numbers is 37 and their difference is 17. What is the larger number?
  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 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?
  32. 32.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  33. 33.The sum of two numbers is 50 and their difference is 18. What is the larger number?
  34. 34.One number is 4 times another. Their difference is 84. What is the smaller number?
  35. 35.The sum of 4 consecutive numbers is 38. What is the largest of them?
  36. 36.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  38. 38.The sum of two numbers is 76 and their difference is 6. What is the smaller number?
  39. 39.One number is 6 times another. Their difference is 85. What is the smaller number?
  40. 40.The sum of 3 consecutive numbers is 39. What is the smallest of them?

Answer key

  1. 24
  2. 58
  3. 5
  4. 12
  5. 32
  6. 10
  7. 24
  8. 89
  9. 28
  10. 25
  11. 16
  12. 86
  13. 80
  14. 18
  15. 31
  16. 39
  17. 20
  18. 13
  19. 57
  20. 39
  21. 23
  22. 27
  23. 73
  24. 81
  25. 16
  26. 61
  27. 22
  28. 10
  29. 27
  30. 34
  31. 15
  32. 27
  33. 34
  34. 28
  35. 11
  36. 80
  37. 6
  38. 35
  39. 17
  40. 12

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