Cluster · Average of Numbers with Overlapping Sets
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
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The average of 11 numbers is 7.5. What should be the 12th number added to them to make the average 8.5? pipeline-1305833
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mp_police | — | intermediate | |
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The average of 17 numbers is 47. If each of the numbers is multiplied by 6, then find the new average. pipeline-1300177
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mp_police | — | intermediate | |
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The average of 19 numbers is 48. The average of the first 7 numbers is 50.6 and that of the last 13 numbers is 47.6. If the 7th number is excluded, then what is the average of the remaining numbers (correct to one decimal place)? pipeline-1273616
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mp_police | — | intermediate | |
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The average of 20 numbers is 32. If two numbers are 29 and 31, then what is the average of the remaining numbers (correct up to two decimals)? pipeline-1318267
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bihar_police | — | intermediate | |
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The average of 25 numbers is 36. If a number 26 is replaced by a new number then the average increases by 0.5. Find the new number. pipeline-1193971
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up_police | — | intermediate | |
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The average of the numbers a, b, c, and d is 2d + 4. Also, the averages of the numbers a and b, b and c, and d are 8, 5, and 4, respectively. If e = a + d + 1, then what is the average of the numbers d and e? pipeline-1171931
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up_police | — | intermediate | |
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The average of 29 observations is 40. If the average of the first 15 observations is 38, and that of the last 15 observations is 45, then the 15th observation is: pipeline-1148169
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up_police | — | intermediate | |
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The average of 7 numbers is 164. On removing a number, the average remains unchanged. Find out the number deleted. pipeline-1155764
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up_police | — | intermediate | |
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The average of 8 numbers is 24. If one of the numbers is excluded, the average becomes 22. Find the excluded number. pipeline-1148162
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up_police | — | intermediate | |
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The average of 7 numbers is 184. By removing a number, the average remains the same. Find out the extracted number. pipeline-1155756
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up_police | — | intermediate | |
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Four numbers A, B, C, and D are such that their overall average is 16. The average of A and B is 9.5. What is the average of C and D? pipeline-1133442
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up_police | — | intermediate | |
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The average of 11 results is 59 and that of the first 10 is 58. The 11th result is? pipeline-1170514
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up_police | — | intermediate | |
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In a Physics practical, the average of 40 observations is 32. The average of the first 15 observations is 16, while the average of the next 16 observations is 20. Find the average of the remaining observations. pipeline-1141821
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up_police | — | intermediate | |
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The average of 4 numbers is 23. The average of the first three numbers and the average of the last two numbers are 22 and 25 respectively. Find the average of the first two numbers. pipeline-1036284
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rpf | — | intermediate | |
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The average of 19 numbers is 48. The average of the first 7 numbers is 50.6 and that of the last 13 numbers is 47.6. If the 7th number is excluded, then what is the average of the remaining numbers (correct to one decimal place)? pipeline-1109230
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up_police | — | intermediate | |
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If the average of a group of numbers is 45. If every terms of the group, 5 is added and then multiplied by 2.5 then the new average will be? pipeline-726771
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rpf | — | intermediate | |
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The average of 27 numbers is 10.5 whereas the average of the first 13 numbers out of 27 is 7, then what is the average of the remaining 14 numbers? pipeline-591063
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rpf | — | intermediate | |
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The average of six numbers is 23 and the average of next four numbers is 31. Find the average of these 10 numbers. pipeline-578115
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rpf | — | intermediate | |
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The average of twelve numbers is 46. The average of the first four numbers is 43 and that of the last five numbers is 49.4. The 5th and the 6th number are respectively 4 and 6 more than the 7th number. What is the average of the 5th and 7th numbers? pipeline-563719
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rpf | — | intermediate | |
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Average of 12 numbers is 48. If each number is increased by 11, then what will be the new average? pipeline-500722
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rpf | — | intermediate | |
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Find the average of the given numbers - 56, 48, 67, 73, 96, 45, 61, 52, 42. pipeline-539675
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rpf | — | intermediate | |
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The average of 15 numbers is 18.5 and the average of the next 15 numbers is 21. What is the average of all numbers? pipeline-496579
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rpf | — | intermediate | |
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The average of 25 numbers is 36. If the average of the first 13 numbers is 32 and the average of the next 10 numbers is 42, find the average of the rest of the numbers. pipeline-703657
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rpf | — | intermediate | |
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Average of 10 numbers is 25. If the average of first 6 numbers is 27 and the average of last 6 numbers is 24. Find the average of 5th and 6th number pipeline-539553
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rpf | — | intermediate | |
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A scholar was asked to find the arithmetic mean of the numbers 4, 11, 7, 9, 16, 13, 8, 19, 18, 21, 12 and x. He found the mean to be 12. What should be the number in place? pipeline-1252736
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banking | — | intermediate | |
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Out of 8 numbers the average of the first two numbers is 16.5 and that of the next three numbers is 67/3, the sixth number is 5 and 9 less than the seventh and eighth numbers respectively. If the combined average of those 8 numbers is 21, what is the value of the eighth number? pipeline-1244117
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banking | — | intermediate | |
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The average of 4 out of 5 integers is taken and added to the 5th number and the result obtained are 28, 22, 17, 24 and 16. Find the average of all the five integers. pipeline-1055836
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banking | — | intermediate | |
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The average of 25 numbers is 54. The average of the first 13 numbers and that of the last 13 numbers are 52.8 and 62.2, respectively. If the 13th number is excluded, then what is the average of the remaining numbers (correct to one decimal place)? pipeline-1290086
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defence | — | intermediate | |
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The average of 52 numbers is 48.5. The average of the first 22 numbers is 59.8, and that of the last 32 numbers is 41.7. If the 21st and 22nd numbers are excluded, what is the average of the remaining numbers? pipeline-1272492
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defence | — | intermediate | |
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The average of five integers is 48. The average of the first four integers is 50% of the 5th integer. The 5th integer is: pipeline-1266068
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ib | — | intermediate | |
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The average of 27 numbers is 58. The average of the first 14 numbers is 66.6 and that of the last 14 numbers is 52.4. If the 14th number is excluded, then what is the average of the remaining numbers (correct to one decimal place)? pipeline-1259564
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ib | — | intermediate | |
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The average of four numbers is 20, and one of these four numbers is 26. What is the average of the remaining three numbers? pipeline-1255974
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ib | — | intermediate | |
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The average of 9 numbers is 30. The average of the first 5 numbers is 25 and that of the last 3 numbers is 35. What is the 6th number? pipeline-1255963
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ib | — | intermediate | |
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The average of 31 numbers is 78. The average of the first 12 numbers is 75, and the average of the last 14 numbers is 80.5. What is the average of the remaining numbers? pipeline-1243100
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ib | — | intermediate | |
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The average of 33 numbers is 70. The average of the first 17 numbers is 65, and the average of the 17 numbers is 74. If the 17th number is excluded, what is the average of the remaining numbers (approximate to one decimal place)? pipeline-1238502
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ib | — | intermediate | |
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A is the average of 10 given numbers. B is the average after 2 of the numbers were replaced by 3 other different numbers. The average of the removed numbers is 48, and the average of the newly included numbers is 56. If A + B = 438, then the value of A - B is: pipeline-1233620
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ib | — | intermediate | |
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The average of the 4-digit numbers 1x44, x345, 3356, and 41x3 is 2767. What is the average of 6x, 5x + 3, and 7x + 3? pipeline-1237736
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ib | — | intermediate | |
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The average of twelve numbers is 46. The average of the first four numbers is 43 and that of the last five numbers is 49.4. The 5th and the 6th number are respectively 4 and 6 more than the 7th number. What is the average of the 5th and 7th numbers? pipeline-1194754
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delhi_police | — | intermediate | |
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If the average of the 3-digit numbers 335, 2x5, x35, 63x and 406 is 411, then what will be the average of x - 1, x - 3, x + 3 and x + 5? pipeline-1134499
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delhi_police | — | intermediate | |
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The average of 5 numbers is 26.4. The first number is one-fifth of the sum of the remaining 4 numbers. What is the first number? pipeline-1139172
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delhi_police | — | intermediate | |
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The average of eighteen numbers is 42. The average of the last ten numbers is 40 and that of the first five numbers is 44. The seventh number is 6 less than the sixth and 7 less than the eighth number. The average of the sixth and the eighth numbers is : pipeline-1139173
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delhi_police | — | intermediate | |
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The average of sixteen numbers is 48. The average of the first six of these numbers is 45 and that of the last seven numbers is 53. The seventh and the eighth numbers are, respectively, 3 and 7 greater than the ninth number. What is the average of the ninth and seventh numbers? pipeline-1083903
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delhi_police | — | intermediate | |
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The average of 52, 71, 43, 22, a, and b is 55 and the average of 42, 45, 49, 51, 42, c, and d is 53. What is the average of a, b, c, and d? pipeline-1082618
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delhi_police | — | intermediate | |
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The average of eleven consecutive positive integers is d. If the last two numbers are excluded, by how much will the average increase or decrease? pipeline-1086481
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delhi_police | — | intermediate | |
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The average of 17 numbers is 47. If each of the numbers is multiplied by 6, then find the new average. pipeline-1173239
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delhi_police | — | intermediate | |
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The average of 6 numbers is 30. When one number is removed, the average becomes 24. Find the removed number. pipeline-1133101
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delhi_police | — | intermediate | |
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The average of 46 numbers is 50.5. The average of the first 25 numbers is 45 and that of the last 18 numbers is 56. The 28th number is 67. If the 26th and 27th numbers are excluded, then what is the average of the remaining numbers? pipeline-1082812
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delhi_police | — | intermediate | |
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The average of 7 natural numbers is 70. Among them, six numbers are 32, 69, 72, 65, 79, and 48. What is the seventh number? pipeline-1083800
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delhi_police | — | intermediate | |
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The average of four numbers is 20, and one of these four numbers is 26. What is the average of the remaining three numbers? pipeline-1173360
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delhi_police | — | intermediate | |
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The average of 9 numbers is 30. The average of the first 5 numbers is 25 and that of the last 3 numbers is 35. What is the 6th number? pipeline-1145911
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delhi_police | — | intermediate |