Mathematics
Average / Arithmetic Mean
The mean of a dataset is 32. Each value x is transformed to 5x + 5. What is the mean of the transformed dataset?
A. 169
B. 163
C. 165
D. 167
Correct Answer: C
New mean = 5×32+5 = 165.
Mathematics
Average / Arithmetic Mean
The mean of a dataset is 31. Each value x is transformed to 4x + 4. What is the mean of the transformed dataset?
A. 126
B. 128
C. 130
D. 132
Correct Answer: B
New mean = 4×31+4 = 128.
Mathematics
Average / Arithmetic Mean
The mean of a dataset is 30. Each value x is transformed to 3x + 3. What is the mean of the transformed dataset?
A. 95
B. 97
C. 91
D. 93
Correct Answer: D
New mean = 3×30+3 = 93.
Mathematics
Average / Arithmetic Mean
The mean of a dataset is 29. Each value x is transformed to 2x + 7. What is the mean of the transformed dataset?
A. 69
B. 67
C. 63
D. 65
Correct Answer: D
New mean = 2×29+7 = 65.
Mathematics
Average / Arithmetic Mean
The mean of a dataset is 28. Each value x is transformed to 5x + 6. What is the mean of the transformed dataset?
A. 150
B. 148
C. 146
D. 144
Correct Answer: C
New mean = 5×28+6 = 146.
Mathematics
Average / Arithmetic Mean
The mean of a dataset is 27. Each value x is transformed to 4x + 5. What is the mean of the transformed dataset?
A. 117
B. 113
C. 111
D. 115
Correct Answer: B
New mean = 4×27+5 = 113.
Mathematics
Average / Arithmetic Mean
The mean of a dataset is 26. Each value x is transformed to 3x + 4. What is the mean of the transformed dataset?
A. 82
B. 84
C. 86
D. 80
Correct Answer: A
New mean = 3×26+4 = 82.
Mathematics
Average / Arithmetic Mean
The mean of a dataset is 25. Each value x is transformed to 2x + 3. What is the mean of the transformed dataset?
A. 55
B. 51
C. 57
D. 53
Correct Answer: D
New mean = 2×25+3 = 53.
Mathematics
Average / Arithmetic Mean
A car covers three equal distances at 48, 58, and 87 km/h. What is the average speed?
A. 62.52 km/h
B. 64.52 km/h
C. 58.52 km/h
D. 60.52 km/h
Correct Answer: D
For three equal distances, harmonic mean = 3/(1/48+1/58+1/87) = 60.52 km/h.
Mathematics
Average / Arithmetic Mean
A car covers three equal distances at 46, 56, and 84 km/h. What is the average speed?
A. 56.25 km/h
B. 62.25 km/h
C. 60.25 km/h
D. 58.25 km/h
Correct Answer: D
For three equal distances, harmonic mean = 3/(1/46+1/56+1/84) = 58.25 km/h.
Mathematics
Average / Arithmetic Mean
A car covers three equal distances at 44, 54, and 81 km/h. What is the average speed?
A. 57.98 km/h
B. 53.98 km/h
C. 55.98 km/h
D. 59.98 km/h
Correct Answer: C
For three equal distances, harmonic mean = 3/(1/44+1/54+1/81) = 55.98 km/h.
Mathematics
Average / Arithmetic Mean
A car covers three equal distances at 42, 52, and 78 km/h. What is the average speed?
A. 51.7 km/h
B. 55.7 km/h
C. 57.7 km/h
D. 53.7 km/h
Correct Answer: D
For three equal distances, harmonic mean = 3/(1/42+1/52+1/78) = 53.7 km/h.
Mathematics
Average / Arithmetic Mean
A car covers three equal distances at 40, 50, and 75 km/h. What is the average speed?
A. 53.43 km/h
B. 49.43 km/h
C. 55.43 km/h
D. 51.43 km/h
Correct Answer: D
For three equal distances, harmonic mean = 3/(1/40+1/50+1/75) = 51.43 km/h.
Mathematics
Average / Arithmetic Mean
A car covers three equal distances at 38, 48, and 72 km/h. What is the average speed?
A. 53.15 km/h
B. 49.15 km/h
C. 47.15 km/h
D. 51.15 km/h
Correct Answer: B
For three equal distances, harmonic mean = 3/(1/38+1/48+1/72) = 49.15 km/h.
Mathematics
Average / Arithmetic Mean
A car covers three equal distances at 36, 46, and 69 km/h. What is the average speed?
A. 48.87 km/h
B. 46.87 km/h
C. 44.87 km/h
D. 50.87 km/h
Correct Answer: B
For three equal distances, harmonic mean = 3/(1/36+1/46+1/69) = 46.87 km/h.
Mathematics
Average / Arithmetic Mean
A car covers three equal distances at 34, 44, and 66 km/h. What is the average speed?
A. 48.58 km/h
B. 42.58 km/h
C. 46.58 km/h
D. 44.58 km/h
Correct Answer: D
For three equal distances, harmonic mean = 3/(1/34+1/44+1/66) = 44.58 km/h.
Mathematics
Average / Arithmetic Mean
A car covers three equal distances at 32, 42, and 63 km/h. What is the average speed?
A. 46.29 km/h
B. 44.29 km/h
C. 42.29 km/h
D. 40.29 km/h
Correct Answer: C
For three equal distances, harmonic mean = 3/(1/32+1/42+1/63) = 42.29 km/h.
Mathematics
Average / Arithmetic Mean
A car covers three equal distances at 30, 40, and 60 km/h. What is the average speed?
A. 42 km/h
B. 44 km/h
C. 38 km/h
D. 40 km/h
Correct Answer: D
For three equal distances, harmonic mean = 3/(1/30+1/40+1/60) = 40 km/h.
Mathematics
Average / Arithmetic Mean
A vehicle covers equal distances at 48 km/h and 72 km/h. What is its average speed?
A. 59.6 km/h
B. 55.6 km/h
C. 57.6 km/h
D. 61.6 km/h
Correct Answer: C
For equal distances, average speed = 2uv/(u+v) = 57.6 km/h.
Mathematics
Average / Arithmetic Mean
A vehicle covers equal distances at 46 km/h and 69 km/h. What is its average speed?
A. 59.2 km/h
B. 55.2 km/h
C. 53.2 km/h
D. 57.2 km/h
Correct Answer: B
For equal distances, average speed = 2uv/(u+v) = 55.2 km/h.