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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 2 · 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.One number is 4 times another. Their difference is 99. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  3. 3.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  5. 5.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  6. 6.The sum of two numbers is 55 and their difference is 23. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  8. 8.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  9. 9.One number is 3 times another. Their difference is 76. What is the smaller number?
  10. 10.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.One number is 6 times another. Their difference is 20. What is the smaller number?
  12. 12.The sum of two numbers is 104 and their difference is 24. What is the larger number?
  13. 13.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?
  14. 14.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 36. What is the largest of them?
  16. 16.One number is 6 times another. Their difference is 135. What is the smaller number?
  17. 17.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  18. 18.One number is 2 times another. Their difference is 5. What is the smaller number?
  19. 19.One number is 5 times another. Their difference is 136. What is the smaller number?
  20. 20.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  21. 21.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?
  22. 22.The sum of two numbers is 169 and their difference is 1. What is the larger number?
  23. 23.The sum of 3 consecutive numbers is 159. What is the largest of them?
  24. 24.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  26. 26.One number is 5 times another. Their difference is 148. What is the smaller number?
  27. 27.The sum of two numbers is 119 and their difference is 77. What is the larger number?
  28. 28.The sum of two numbers is 45 and their difference is 7. What is the larger number?
  29. 29.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  30. 30.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  31. 31.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  32. 32.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  33. 33.The sum of two numbers is 147 and their difference is 49. What is the larger number?
  34. 34.The sum of two numbers is 52 and their difference is 10. What is the larger number?
  35. 35.The sum of two numbers is 45 and their difference is 43. What is the larger number?
  36. 36.The sum of 3 consecutive numbers is 144. What is the largest of them?
  37. 37.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?
  38. 38.The sum of 3 consecutive numbers is 21. What is the largest of them?
  39. 39.One number is 5 times another. Their difference is 160. What is the smaller number?
  40. 40.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?

Answer key

  1. 33
  2. 11
  3. 67
  4. 17
  5. 62
  6. 16
  7. 78
  8. 18
  9. 38
  10. 68
  11. 4
  12. 64
  13. 56
  14. 39
  15. 13
  16. 27
  17. 58
  18. 5
  19. 34
  20. 39
  21. 89
  22. 85
  23. 54
  24. 45
  25. 8
  26. 37
  27. 98
  28. 26
  29. 36
  30. 57
  31. 7
  32. 66
  33. 98
  34. 31
  35. 44
  36. 49
  37. 34
  38. 8
  39. 40
  40. 69

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