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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 292 · 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 160 and their difference is 20. What is the larger number?
  2. 2.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  3. 3.The sum of two numbers is 164 and their difference is 28. What is the smaller number?
  4. 4.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 93. What is the largest of them?
  6. 6.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  7. 7.The sum of two numbers is 95 and their difference is 75. What is the smaller number?
  8. 8.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?
  9. 9.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  10. 10.The sum of two numbers is 21 and their difference is 13. What is the larger number?
  11. 11.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  12. 12.The sum of 4 consecutive numbers is 150. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 150. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  16. 16.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?
  17. 17.One number is 5 times another. Their difference is 72. What is the smaller number?
  18. 18.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 90. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  21. 21.The sum of 3 consecutive numbers is 156. What is the largest of them?
  22. 22.The sum of 5 consecutive numbers is 60. What is the largest of them?
  23. 23.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.One number is 4 times another. Their difference is 87. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  27. 27.The sum of 4 consecutive even numbers is 180. What is the smallest of them?
  28. 28.The sum of two numbers is 36 and their difference is 32. What is the larger number?
  29. 29.One number is 4 times another. Their difference is 69. What is the smaller number?
  30. 30.The sum of two numbers is 138 and their difference is 40. What is the larger number?
  31. 31.The sum of two numbers is 67 and their difference is 33. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 105. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 183. What is the largest of them?
  34. 34.The sum of 4 consecutive numbers is 118. What is the largest of them?
  35. 35.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  36. 36.The sum of 4 consecutive numbers is 190. What is the largest of them?
  37. 37.One number is 6 times another. Their difference is 60. What is the smaller number?
  38. 38.One number is 4 times another. Their difference is 36. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  40. 40.The sum of two numbers is 141 and their difference is 51. What is the smaller number?

Answer key

  1. 90
  2. 16
  3. 68
  4. 63
  5. 32
  6. 25
  7. 10
  8. 34
  9. 9
  10. 17
  11. 54
  12. 39
  13. 12
  14. 32
  15. 12
  16. 37
  17. 18
  18. 18
  19. 24
  20. 27
  21. 53
  22. 14
  23. 35
  24. 29
  25. 33
  26. 65
  27. 42
  28. 34
  29. 23
  30. 89
  31. 17
  32. 36
  33. 62
  34. 31
  35. 82
  36. 49
  37. 12
  38. 12
  39. 41
  40. 45

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