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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 768 · 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 5 consecutive numbers is 75. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  3. 3.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  4. 4.One number is 2 times another. Their difference is 34. What is the smaller number?
  5. 5.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
  6. 6.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  7. 7.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  8. 8.The sum of two numbers is 100 and their difference is 6. What is the larger number?
  9. 9.The sum of 3 consecutive numbers is 42. What is the largest of them?
  10. 10.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  11. 11.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  12. 12.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?
  13. 13.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?
  14. 14.The sum of two numbers is 59 and their difference is 37. What is the larger number?
  15. 15.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  16. 16.The sum of two numbers is 136 and their difference is 40. What is the larger number?
  17. 17.The sum of 4 consecutive numbers is 214. What is the largest of them?
  18. 18.The sum of 3 consecutive numbers is 117. What is the largest of them?
  19. 19.One number is 4 times another. Their difference is 75. What is the smaller number?
  20. 20.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?
  21. 21.The sum of two numbers is 104 and their difference is 44. What is the smaller number?
  22. 22.One number is 5 times another. Their difference is 156. What is the smaller number?
  23. 23.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?
  24. 24.The sum of two numbers is 17 and their difference is 13. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  26. 26.One number is 6 times another. Their difference is 95. What is the smaller number?
  27. 27.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?
  28. 28.The sum of two numbers is 59 and their difference is 17. What is the larger number?
  29. 29.The sum of two numbers is 80 and their difference is 38. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  31. 31.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  32. 32.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  35. 35.The sum of 3 consecutive numbers is 24. What is the largest of them?
  36. 36.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 66. What is the largest of them?
  38. 38.The sum of two numbers is 124 and their difference is 4. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  40. 40.The sum of two numbers is 162 and their difference is 14. What is the smaller number?

Answer key

  1. 17
  2. 38
  3. 46
  4. 34
  5. 53
  6. 17
  7. 28
  8. 53
  9. 15
  10. 11
  11. 33
  12. 89
  13. 57
  14. 48
  15. 69
  16. 88
  17. 55
  18. 40
  19. 25
  20. 34
  21. 30
  22. 39
  23. 25
  24. 2
  25. 51
  26. 19
  27. 79
  28. 38
  29. 21
  30. 27
  31. 16
  32. 63
  33. 16
  34. 26
  35. 9
  36. 33
  37. 23
  38. 60
  39. 19
  40. 74

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