CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A collection has mean 22. After one value 34 is added, the mean becomes 23. How many values were originally present?
A. 13
B. 11
C. 12
D. 10
Correct Answer: B
Let count be n: 22n+34=23(n+1). Solving gives n=11.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A collection has mean 21. After one value 32 is added, the mean becomes 22. How many values were originally present?
A. 12
B. 10
C. 9
D. 11
Correct Answer: B
Let count be n: 21n+32=22(n+1). Solving gives n=10.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A collection has mean 20. After one value 30 is added, the mean becomes 21. How many values were originally present?
A. 9
B. 10
C. 8
D. 11
Correct Answer: A
Let count be n: 20n+30=21(n+1). Solving gives n=9.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A collection has mean 19. After one value 28 is added, the mean becomes 20. How many values were originally present?
A. 8
B. 10
C. 9
D. 7
Correct Answer: A
Let count be n: 19n+28=20(n+1). Solving gives n=8.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A collection has mean 18. After one value 26 is added, the mean becomes 19. How many values were originally present?
A. 7
B. 8
C. 9
D. 6
Correct Answer: A
Let count be n: 18n+26=19(n+1). Solving gives n=7.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of x+17, x+34, and x+51 is 38. What is x?
A. 8
B. 2
C. 6
D. 4
Correct Answer: D
The mean is x+34; hence x=38-34=4.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of x+16, x+32, and x+48 is 36. What is x?
A. 2
B. 4
C. 6
D. 8
Correct Answer: B
The mean is x+32; hence x=36-32=4.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of x+15, x+30, and x+45 is 34. What is x?
A. 2
B. 4
C. 8
D. 6
Correct Answer: B
The mean is x+30; hence x=34-30=4.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of x+14, x+28, and x+42 is 32. What is x?
A. 2
B. 8
C. 6
D. 4
Correct Answer: D
The mean is x+28; hence x=32-28=4.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of x+13, x+26, and x+39 is 30. What is x?
A. 6
B. 8
C. 2
D. 4
Correct Answer: D
The mean is x+26; hence x=30-26=4.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of x+12, x+24, and x+36 is 28. What is x?
A. 6
B. 4
C. 8
D. 2
Correct Answer: B
The mean is x+24; hence x=28-24=4.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of x+11, x+22, and x+33 is 26. What is x?
A. 2
B. 6
C. 4
D. 8
Correct Answer: C
The mean is x+22; hence x=26-22=4.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of x+10, x+20, and x+30 is 24. What is x?
A. 8
B. 6
C. 4
D. 2
Correct Answer: C
The mean is x+20; hence x=24-20=4.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of x+9, x+18, and x+27 is 22. What is x?
A. 4
B. 2
C. 6
D. 8
Correct Answer: A
The mean is x+18; hence x=22-18=4.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of x+8, x+16, and x+24 is 20. What is x?
A. 4
B. 2
C. 6
D. 8
Correct Answer: A
The mean is x+16; hence x=20-16=4.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The mean of 7 numbers is 39. The sum of 5 known numbers is 143. The two missing numbers are in the ratio 3:7. What is the larger missing number?
A. 95
B. 93
C. 89
D. 91
Correct Answer: D
The missing pair totals 130. Divide it in ratio 3:7; larger value = 91.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The mean of 6 numbers is 38. The sum of 4 known numbers is 132. The two missing numbers are in the ratio 2:6. What is the larger missing number?
A. 74
B. 76
C. 70
D. 72
Correct Answer: D
The missing pair totals 96. Divide it in ratio 2:6; larger value = 72.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The mean of 9 numbers is 37. The sum of 7 known numbers is 223. The two missing numbers are in the ratio 5:5. What is the larger missing number?
A. 57
B. 53
C. 55
D. 59
Correct Answer: C
The missing pair totals 110. Divide it in ratio 5:5; larger value = 55.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The mean of 8 numbers is 36. The sum of 6 known numbers is 208. The two missing numbers are in the ratio 4:4. What is the larger missing number?
A. 40
B. 42
C. 38
D. 44
Correct Answer: A
The missing pair totals 80. Divide it in ratio 4:4; larger value = 40.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The mean of 7 numbers is 35. The sum of 5 known numbers is 191. The two missing numbers are in the ratio 3:3. What is the larger missing number?
A. 31
B. 29
C. 25
D. 27
Correct Answer: D
The missing pair totals 54. Divide it in ratio 3:3; larger value = 27.