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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 707 · 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 5 consecutive numbers is 265. What is the smallest of them?
  2. 2.One number is 6 times another. Their difference is 175. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 170. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  5. 5.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?
  6. 6.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  7. 7.One number is 3 times another. Their difference is 54. What is the smaller number?
  8. 8.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  9. 9.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  10. 10.The sum of two numbers is 85 and their difference is 19. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 114. What is the largest of them?
  12. 12.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  13. 13.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  14. 14.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  15. 15.One number is 2 times another. Their difference is 6. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  17. 17.The sum of two numbers is 145 and their difference is 17. What is the larger number?
  18. 18.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  19. 19.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  21. 21.One number is 3 times another. Their difference is 18. What is the smaller number?
  22. 22.One number is 3 times another. Their difference is 12. What is the smaller number?
  23. 23.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  24. 24.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?
  25. 25.The sum of two numbers is 118 and their difference is 2. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  27. 27.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  28. 28.The sum of 4 consecutive numbers is 54. What is the largest of them?
  29. 29.The sum of two numbers is 110 and their difference is 56. What is the smaller number?
  30. 30.One number is 5 times another. Their difference is 96. What is the smaller number?
  31. 31.The sum of two numbers is 136 and their difference is 34. What is the larger number?
  32. 32.The sum of two numbers is 79 and their difference is 39. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  34. 34.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  35. 35.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  36. 36.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 93. What is the largest of them?
  38. 38.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  39. 39.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  40. 40.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?

Answer key

  1. 51
  2. 35
  3. 44
  4. 45
  5. 48
  6. 42
  7. 27
  8. 56
  9. 50
  10. 33
  11. 30
  12. 42
  13. 26
  14. 25
  15. 6
  16. 34
  17. 81
  18. 17
  19. 38
  20. 48
  21. 9
  22. 6
  23. 77
  24. 89
  25. 58
  26. 65
  27. 13
  28. 15
  29. 27
  30. 24
  31. 85
  32. 20
  33. 32
  34. 43
  35. 43
  36. 28
  37. 32
  38. 34
  39. 48
  40. 57

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