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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 965 · 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 174. What is the largest of them?
  2. 2.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  3. 3.The sum of two numbers is 138 and their difference is 60. What is the smaller number?
  4. 4.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  5. 5.One number is 4 times another. Their difference is 90. What is the smaller number?
  6. 6.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?
  7. 7.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  8. 8.The sum of two numbers is 100 and their difference is 10. What is the larger number?
  9. 9.The sum of 4 consecutive numbers is 78. What is the largest of them?
  10. 10.The sum of 4 consecutive numbers is 202. What is the largest of them?
  11. 11.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  12. 12.One number is 5 times another. Their difference is 96. What is the smaller number?
  13. 13.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
  14. 14.The sum of two numbers is 101 and their difference is 33. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 138. What is the largest of them?
  17. 17.The sum of two numbers is 165 and their difference is 29. What is the smaller number?
  18. 18.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  19. 19.The sum of two numbers is 27 and their difference is 1. What is the smaller number?
  20. 20.The sum of two numbers is 41 and their difference is 3. What is the larger number?
  21. 21.One number is 4 times another. Their difference is 21. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  23. 23.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  24. 24.The sum of two numbers is 25 and their difference is 3. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  27. 27.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?
  28. 28.The sum of 3 consecutive numbers is 132. What is the largest of them?
  29. 29.The sum of two numbers is 138 and their difference is 22. What is the larger number?
  30. 30.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?
  31. 31.The sum of 3 consecutive numbers is 177. What is the largest of them?
  32. 32.The sum of two numbers is 84 and their difference is 64. What is the larger number?
  33. 33.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  34. 34.The sum of 4 consecutive even numbers is 236. What is the largest of them?
  35. 35.The sum of 4 consecutive numbers is 66. What is the largest of them?
  36. 36.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of two numbers is 145 and their difference is 7. What is the smaller number?
  39. 39.One number is 5 times another. Their difference is 92. What is the smaller number?
  40. 40.One number is 2 times another. Their difference is 5. What is the smaller number?

Answer key

  1. 60
  2. 62
  3. 39
  4. 22
  5. 30
  6. 67
  7. 19
  8. 55
  9. 21
  10. 52
  11. 15
  12. 24
  13. 46
  14. 34
  15. 38
  16. 47
  17. 68
  18. 20
  19. 13
  20. 22
  21. 7
  22. 49
  23. 11
  24. 11
  25. 77
  26. 43
  27. 89
  28. 45
  29. 80
  30. 79
  31. 60
  32. 74
  33. 46
  34. 62
  35. 18
  36. 55
  37. 37
  38. 69
  39. 23
  40. 5

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