Cluster · Average of Numbers with Overlapping Sets

d
Clusters / #1217
tight score 0.00

Averages With Grouped Subsets Problems
Questions
149
Questions in this cluster
148 total
Question Category Subtype Difficulty

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-303950
quant intermediate

The average of 48 numbers is 78. If we subtract a number "X" from each number, then the average becomes 57. What is the value of X?

pipeline-623428
quant intermediate

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-301485
quant intermediate

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-562312
quant intermediate

The average of twelve numbers is 42. The average of the last five numbers is 40, and that of the first four numbers is 44. The sixth number is 6 less than the fifth number and 5 less than the seventh number. The average of the sixth and seventh numbers is:

pipeline-302973
quant intermediate

The average of 25, 46 and ‘y’ is 11. What is the value of ‘y’?

pipeline-676697
quant intermediate

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-303527
quant intermediate

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-304163
quant intermediate

The average of five numbers is 30. If one number is excluded, the average becomes 31. What is the excluded number?

pipeline-301914
quant intermediate

Which of the following statements(s) is/are correct?

I. The average of 24 numbers is 22. If the average of the first 9 numbers is 18, then the average of the remaining numbers will be 24.4.

II. Average of 149, 223, 520, 287 and 251 is 286.

pipeline-623425
quant intermediate

The average of the three numbers is 15. The average of the second and third number is 12.5. What is the first number?

pipeline-303000
quant intermediate

The average of 15 results is 60. If the average of the first eight results is 58, and that of the last six is 62, then find the ninth result.

pipeline-487718
quant intermediate

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-486421
quant intermediate

The average of six integers is 48. The average of the first five integers is 70% of the sixth integer. The sixth integer is:

pipeline-422329
quant intermediate

The average of 16 numbers is 23. The average of the first 7 numbers is 21 and that of the last 8 numbers is 24. Find the 8th number.

pipeline-419427
quant intermediate

The average of 25 numbers is 18. The average of the first 12 of these numbers is 14 and that of the last 12 of these numbers is 17. The 13th number is:

pipeline-423447
quant intermediate

The average of 9 numbers is 15. If the average of the first five numbers is 13 and the average of the last five numbers is 17, then what is the fifth number?

pipeline-479641
quant intermediate

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-512768
quant intermediate

The average of 8 numbers is 24. If one of the numbers is excluded, the average becomes 22. Find the excluded number.

pipeline-512261
quant intermediate

The average of 11 numbers is 7.5. What should be the 12th number added to them to make the average 8.5?

pipeline-516579
quant intermediate

The average of the following numbers is 25. Find the value of X.

24, 30, 12, 18, 20, 10, 40, X

pipeline-519103
quant intermediate

If the average of 20, 40, 50, Y, and Z is 45, then what is the average of Y and Z?

pipeline-349405
quant intermediate

The average of nine numbers is 20. If two of these numbers are removed, then the average becomes 18. What is the sum of the two numbers that are removed?

pipeline-348734
quant intermediate

The average of 10 data is 55.5. In this, the average of the first 3 data is 48 and the next 4 data is 58. If the 8th data is 11 less than the 9th data and also 6 less than the 10th data, then find the eighth data.

pipeline-570268
quant intermediate

The average of 10 data points is 56.5. In this, the average of the first 3 data is 50 and the next 4 data is 60. If the 8th data point is 10 less than the 9th data point and also 6 less than the 10th data point, then find the eighth data point.

pipeline-536736
quant intermediate

Find the average of 12, 5, 15, 5 and 45.

pipeline-348726
quant intermediate

The average of a set of 15 numbers is 41. Five numbers 21, 24, 39, 47, and 97 are removed from the above set. What will the average of the remaining 10 numbers?

pipeline-348434
quant intermediate

The average of X, Y and Z is 2X. If the average of Y and Z is 20, then what is the value of X?

pipeline-357085
quant intermediate

The average of 5 terms is 15. If the first 4 terms are 12, 17, 23 and 8, what will be the fifth term?

pipeline-356297
quant intermediate

The average of X, Y and Z is 52. The average of X and Y is 48. The average of Y and Z is 60. What is the value of Y?

pipeline-357096
quant intermediate

The average of a set of ten numbers is 40. If a number is removed from the set, then the average of the remaining numbers becomes 38. What was the number that was removed?

pipeline-370447
quant intermediate

If 24X + 24Y = 192, then what is the average of X and Y?

pipeline-357105
quant intermediate

The average of 12 numbers is 15, and the average of the first four numbers is 13. What is the average of the remaining numbers?

pipeline-369609
quant intermediate

Find the value of '?', if the mean of the data set 18, 16, 22, 13, ? = 16.

pipeline-33680
quant intermediate

What is the average of 12.5, 18.4, 15.5, 16.6, and 20.4?

pipeline-364554
quant intermediate

The mean of 12 observations is 15. One more observation is included and the new mean becomes 16. The 13th observation is:

pipeline-29751
quant intermediate

The mean of 14 observation is 11. One more observation is included and the new mean becomes 12. The 15th observation is

pipeline-29323
quant intermediate

The average of 30 numbers is 36. If Z is subtracted from each of these 30 numbers, then the average becomes 28. What is the value of Z?

pipeline-370455
quant intermediate

The average of 8 numbers is 18. If one of the numbers is excluded, the average becomes 20. Find the excluded number.

pipeline-550032
quant intermediate

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-38250
english intermediate

The average of 6 numbers is 18. The average of the first 3 numbers is 15, and the average of the last 2 numbers is 20 then what is the value of the remaining number?

pipeline-216314
english intermediate

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-333028
english intermediate

The average of 7 numbers is 82.6. The average of the first three numbers is 95 and the average of the last three numbers is 71. What is the fourth number?

pipeline-612770
english intermediate

Average of four numbers out of five is 25% more than the fifth number. Average of 5 numbers is what percent of average of four numbers.

pipeline-7594
reasoning percentage intermediate

If the average of p, q and r is 13 and the average of q, r, and s is 21. If the value of p is 4. Find the value of s.

pipeline-382408
reasoning intermediate

Nine random numbers were chosen, an average of which was found to be 13. The averages of the first six numbers and the last six numbers are 12.5 and 15 respectively. Further, the fourth number is one-third the sum of the fifth and sixth numbers. The fifth and sixth numbers are in the ratio 5 : 7. What is the value of the fifth number?

pipeline-1635
reasoning intermediate

The average of 9 numbers is 40. If the average of the first five numbers is 38 and that of the last five is 50, then what is the fifth number?

pipeline-5881
reasoning intermediate

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-1306246
mp_police intermediate

The average of 17 numbers is 47. If each of the numbers is multiplied by 6, then find the new average.

pipeline-1300177
mp_police intermediate

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
mp_police intermediate
Page 1 of 3