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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 131 · 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 120. What is the smallest of them?
  2. 2.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  3. 3.One number is 6 times another. Their difference is 140. What is the smaller number?
  4. 4.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  5. 5.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  6. 6.One number is 6 times another. Their difference is 170. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  8. 8.The sum of two numbers is 53 and their difference is 1. What is the smaller number?
  9. 9.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?
  10. 10.One number is 6 times another. Their difference is 40. What is the smaller number?
  11. 11.One number is 4 times another. Their difference is 99. What is the smaller number?
  12. 12.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  13. 13.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  14. 14.One number is 4 times another. Their difference is 117. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 245. What is the largest of them?
  16. 16.The sum of 5 consecutive numbers is 50. What is the largest of them?
  17. 17.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  19. 19.The sum of two numbers is 55 and their difference is 37. What is the smaller number?
  20. 20.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  21. 21.The sum of two numbers is 37 and their difference is 27. What is the smaller number?
  22. 22.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  24. 24.One number is 5 times another. Their difference is 152. What is the smaller number?
  25. 25.One number is 3 times another. Their difference is 16. What is the smaller number?
  26. 26.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?
  27. 27.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?
  28. 28.The sum of 5 consecutive numbers is 85. What is the largest of them?
  29. 29.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  30. 30.One number is 3 times another. Their difference is 18. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  32. 32.The sum of two numbers is 101 and their difference is 7. What is the larger number?
  33. 33.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  34. 34.The sum of two numbers is 48 and their difference is 14. What is the larger number?
  35. 35.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of 4 consecutive numbers is 70. What is the largest of them?
  39. 39.The sum of two numbers is 56 and their difference is 8. What is the smaller number?
  40. 40.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?

Answer key

  1. 38
  2. 63
  3. 28
  4. 28
  5. 11
  6. 34
  7. 18
  8. 26
  9. 89
  10. 8
  11. 33
  12. 51
  13. 21
  14. 39
  15. 51
  16. 12
  17. 15
  18. 45
  19. 9
  20. 18
  21. 5
  22. 52
  23. 12
  24. 38
  25. 8
  26. 78
  27. 19
  28. 19
  29. 24
  30. 9
  31. 22
  32. 54
  33. 51
  34. 31
  35. 58
  36. 34
  37. 17
  38. 19
  39. 24
  40. 39

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