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.
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.
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.
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.
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.
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.
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.
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.
Mathematics
Average / Arithmetic Mean
The mean of 6 numbers is 34. The sum of 4 known numbers is 132. The two missing numbers are in the ratio 2:7. What is the larger missing number?
A. 58
B. 56
C. 54
D. 60
Correct Answer: B
The missing pair totals 72. Divide it in ratio 2:7; larger value = 56.
Mathematics
Average / Arithmetic Mean
The mean of 9 numbers is 33. The sum of 7 known numbers is 220. The two missing numbers are in the ratio 5:6. What is the larger missing number?
A. 40
B. 46
C. 44
D. 42
Correct Answer: D
The missing pair totals 77. Divide it in ratio 5:6; larger value = 42.
Mathematics
Average / Arithmetic Mean
The mean of 8 numbers is 32. The sum of 6 known numbers is 202. The two missing numbers are in the ratio 4:5. What is the larger missing number?
A. 32
B. 30
C. 28
D. 34
Correct Answer: B
The missing pair totals 54. Divide it in ratio 4:5; larger value = 30.
Mathematics
Average / Arithmetic Mean
The mean of 7 numbers is 31. The sum of 5 known numbers is 182. The two missing numbers are in the ratio 3:4. What is the larger missing number?
A. 22
B. 24
C. 20
D. 18
Correct Answer: C
The missing pair totals 35. Divide it in ratio 3:4; larger value = 20.
Mathematics
Average / Arithmetic Mean
The mean of 6 numbers is 30. The sum of 4 known numbers is 160. The two missing numbers are in the ratio 2:3. What is the larger missing number?
A. 14
B. 12
C. 10
D. 16
Correct Answer: B
The missing pair totals 20. Divide it in ratio 2:3; larger value = 12.
Mathematics
Average / Arithmetic Mean
The mean of 49, 48, 47, 50, 49, 49, 52, 52, and x is 50. Find x.
A. 54
B. 57
C. 60
D. 51
Correct Answer: A
Required total = 9×50=450. Known total is 396, so x=54.
Mathematics
Average / Arithmetic Mean
The mean of 47, 46, 46, 48, 47, 47, 52, and x is 48. Find x.
A. 57
B. 48
C. 54
D. 51
Correct Answer: D
Required total = 8×48=384. Known total is 333, so x=51.
Mathematics
Average / Arithmetic Mean
The mean of 45, 44, 44, 47, 46, 48, and x is 46. Find x.
A. 51
B. 45
C. 54
D. 48
Correct Answer: D
Required total = 7×46=322. Known total is 274, so x=48.
Mathematics
Average / Arithmetic Mean
The mean of 43, 43, 42, 45, 46, and x is 44. Find x.
A. 42
B. 45
C. 48
D. 51
Correct Answer: B
Required total = 6×44=264. Known total is 219, so x=45.
Mathematics
Average / Arithmetic Mean
The mean of 42, 41, 40, 45, and x is 42. Find x.
A. 48
B. 45
C. 39
D. 42
Correct Answer: D
Required total = 5×42=210. Known total is 168, so x=42.
Mathematics
Average / Arithmetic Mean
The mean of 40, 39, 38, 40, 40, 39, 42, 43, and x is 40. Find x.
A. 39
B. 36
C. 45
D. 42
Correct Answer: A
Required total = 9×40=360. Known total is 321, so x=39.
Mathematics
Average / Arithmetic Mean
The mean of 38, 37, 36, 39, 38, 38, 42, and x is 38. Find x.
A. 39
B. 36
C. 33
D. 42
Correct Answer: B
Required total = 8×38=304. Known total is 268, so x=36.