Mathematics
Average / Arithmetic Mean
A candidate averages 62 marks over 8 papers. After scoring 84 in one more paper, what is the new average?
A. 68.44
B. 62.44
C. 66.44
D. 64.44
Correct Answer: D
New mean = (8×62+84)/9 = 64.44.
Mathematics
Average / Arithmetic Mean
A candidate averages 61 marks over 7 papers. After scoring 82 in one more paper, what is the new average?
A. 63.62
B. 61.62
C. 65.62
D. 67.62
Correct Answer: A
New mean = (7×61+82)/8 = 63.62.
Mathematics
Average / Arithmetic Mean
A candidate averages 60 marks over 6 papers. After scoring 80 in one more paper, what is the new average?
A. 66.86
B. 62.86
C. 60.86
D. 64.86
Correct Answer: B
New mean = (6×60+80)/7 = 62.86.
Mathematics
Average / Arithmetic Mean
A candidate averages 59 marks over 10 papers. After scoring 78 in one more paper, what is the new average?
A. 64.73
B. 60.73
C. 62.73
D. 58.73
Correct Answer: B
New mean = (10×59+78)/11 = 60.73.
Mathematics
Average / Arithmetic Mean
A candidate averages 58 marks over 9 papers. After scoring 76 in one more paper, what is the new average?
A. 57.8
B. 63.8
C. 61.8
D. 59.8
Correct Answer: D
New mean = (9×58+76)/10 = 59.8.
Mathematics
Average / Arithmetic Mean
A candidate averages 57 marks over 8 papers. After scoring 74 in one more paper, what is the new average?
A. 60.89
B. 62.89
C. 58.89
D. 56.89
Correct Answer: C
New mean = (8×57+74)/9 = 58.89.
Mathematics
Average / Arithmetic Mean
A candidate averages 56 marks over 7 papers. After scoring 72 in one more paper, what is the new average?
A. 62
B. 56
C. 60
D. 58
Correct Answer: D
New mean = (7×56+72)/8 = 58.
Mathematics
Average / Arithmetic Mean
A candidate averages 55 marks over 6 papers. After scoring 70 in one more paper, what is the new average?
A. 61.14
B. 59.14
C. 55.14
D. 57.14
Correct Answer: D
New mean = (6×55+70)/7 = 57.14.
Mathematics
Average / Arithmetic Mean
A couple's average age is 37 years. A baby is born immediately. What will be the average age of the three family members after 5 years?
A. 30.67 years
B. 29.67 years
C. 31.67 years
D. 28.67 years
Correct Answer: B
After 5 years: couple total = 2×(37+5), child age = 5; divide by 3.
Mathematics
Average / Arithmetic Mean
A couple's average age is 36 years. A baby is born immediately. What will be the average age of the three family members after 4 years?
A. 30 years
B. 28 years
C. 29 years
D. 27 years
Correct Answer: B
After 4 years: couple total = 2×(36+4), child age = 4; divide by 3.
Mathematics
Average / Arithmetic Mean
A couple's average age is 35 years. A baby is born immediately. What will be the average age of the three family members after 7 years?
A. 31.33 years
B. 30.33 years
C. 29.33 years
D. 32.33 years
Correct Answer: B
After 7 years: couple total = 2×(35+7), child age = 7; divide by 3.
Mathematics
Average / Arithmetic Mean
A couple's average age is 34 years. A baby is born immediately. What will be the average age of the three family members after 6 years?
A. 29.67 years
B. 27.67 years
C. 30.67 years
D. 28.67 years
Correct Answer: D
After 6 years: couple total = 2×(34+6), child age = 6; divide by 3.
Mathematics
Average / Arithmetic Mean
A couple's average age is 33 years. A baby is born immediately. What will be the average age of the three family members after 5 years?
A. 26 years
B. 27 years
C. 28 years
D. 29 years
Correct Answer: B
After 5 years: couple total = 2×(33+5), child age = 5; divide by 3.
Mathematics
Average / Arithmetic Mean
A couple's average age is 32 years. A baby is born immediately. What will be the average age of the three family members after 4 years?
A. 25.33 years
B. 26.33 years
C. 24.33 years
D. 27.33 years
Correct Answer: A
After 4 years: couple total = 2×(32+4), child age = 4; divide by 3.
Mathematics
Average / Arithmetic Mean
A couple's average age is 31 years. A baby is born immediately. What will be the average age of the three family members after 7 years?
A. 26.67 years
B. 29.67 years
C. 27.67 years
D. 28.67 years
Correct Answer: C
After 7 years: couple total = 2×(31+7), child age = 7; divide by 3.
Mathematics
Average / Arithmetic Mean
A couple's average age is 30 years. A baby is born immediately. What will be the average age of the three family members after 6 years?
A. 28 years
B. 25 years
C. 27 years
D. 26 years
Correct Answer: D
After 6 years: couple total = 2×(30+6), child age = 6; divide by 3.
Mathematics
Average / Arithmetic Mean
A couple's average age is 29 years. A baby is born immediately. What will be the average age of the three family members after 5 years?
A. 24.33 years
B. 23.33 years
C. 26.33 years
D. 25.33 years
Correct Answer: A
After 5 years: couple total = 2×(29+5), child age = 5; divide by 3.
Mathematics
Average / Arithmetic Mean
A couple's average age is 28 years. A baby is born immediately. What will be the average age of the three family members after 4 years?
A. 24.67 years
B. 22.67 years
C. 23.67 years
D. 21.67 years
Correct Answer: B
After 4 years: couple total = 2×(28+4), child age = 4; divide by 3.
Mathematics
Average / Arithmetic Mean
A group of 17 people has average age 39. One person leaves and another aged 31 joins; the new average becomes 38. What was the age of the person who left?
A. 52 years
B. 48 years
C. 46 years
D. 50 years
Correct Answer: B
Old total + 31 − leaving age = 17×38; leaving age = 48.
Mathematics
Average / Arithmetic Mean
A group of 16 people has average age 38. One person leaves and another aged 30 joins; the new average becomes 37. What was the age of the person who left?
A. 44 years
B. 46 years
C. 50 years
D. 48 years
Correct Answer: B
Old total + 30 − leaving age = 16×37; leaving age = 46.