Q. A class has 30 students. If the average score of the class is 75 and one student scored 90, what will be the new average if that student is removed?
A.74
B.75
C.76
D.77
Solution
Total score = 30 * 75 = 2250. New total = 2250 - 90 = 2160. New average = 2160 / 29 = 74.48, approximately 74.
Correct Answer: C — 76
Q. A class has 30 students. If the average score of the class is 75 and one student scores 90, what is the average score of the remaining students?
A.74
B.75
C.76
D.77
Solution
Total score of 30 students = 30 * 75 = 2250. Total score of remaining 29 students = 2250 - 90 = 2160. Average = 2160 / 29 = 74.48, approximately 74.
Correct Answer: C — 76
Q. A class has 30 students. If the average score of the class is 75 and one student scored 90, what is the average score of the remaining students?
A.72
B.74
C.76
D.78
Solution
Total score of 30 students = 30 * 75 = 2250. Total score of remaining 29 students = 2250 - 90 = 2160. Average of remaining = 2160 / 29 = 74.48, approximately 74.
Correct Answer: B — 74
Q. A class of 30 students has an average score of 75. If a new student joins and the average becomes 76, what is the score of the new student?
A.80
B.85
C.90
D.95
Solution
The total score of 30 students is 30 * 75 = 2250. After the new student joins, the total score becomes 31 * 76 = 2356. Therefore, the new student's score is 2356 - 2250 = 106.
Correct Answer: B — 85
Q. A clock gains 5 minutes every hour. If it shows 10:00 AM now, what will be the actual time when it shows 12:00 PM?
A.11:30 AM
B.11:50 AM
C.12:10 PM
D.12:20 PM
Solution
In 2 hours, the clock will gain 10 minutes (5 minutes/hour * 2 hours). So, when the clock shows 12:00 PM, the actual time will be 12:00 PM - 10 minutes = 11:50 AM.
Correct Answer: B — 11:50 AM
Q. A clock shows 8:00. What will be the angle between the hour and minute hands at 8:30?
A.180 degrees
B.165 degrees
C.150 degrees
D.135 degrees
Solution
At 8:30, the hour hand is at 255 degrees (8 * 30 + 30 * 0.5) and the minute hand is at 180 degrees (30 * 6). The angle between them is |255 - 180| = 75 degrees.
Correct Answer: B — 165 degrees
Q. A company increased the salary of its employees by 12%. If an employee's current salary is $1,500, what will be the new salary?
Q. A company increased the salary of its employees by 15%. If an employee's current salary is $2000, what will be the new salary after the increase?
A.$2200
B.$2300
C.$2400
D.$2500
Solution
New salary = Current salary + (15% of Current salary) = 2000 + (0.15 * 2000) = 2000 + 300 = 2300.
Correct Answer: A — $2200
Q. A container has 30 liters of a mixture of milk and water in the ratio 2:1. How much water is in the mixture?
A.10 liters
B.15 liters
C.20 liters
D.5 liters
Solution
In a 2:1 ratio, for every 3 parts, 1 part is water. Therefore, water = (1/3) * 30 = 10 liters.
Correct Answer: A — 10 liters
Q. A container has 50 liters of a mixture of juice and water in the ratio 4:1. How much juice is in the mixture?
A.30 liters
B.35 liters
C.40 liters
D.45 liters
Solution
In a 4:1 ratio, total parts = 4 + 1 = 5. Juice = (4/5) * 50 = 40 liters.
Correct Answer: C — 40 liters
Q. A container has 60 liters of a mixture of juice and water in the ratio 4:1. How much juice is in the mixture?
A.48 liters
B.12 liters
C.36 liters
D.24 liters
Solution
Juice = (4/5) * 60 = 48 liters.
Correct Answer: A — 48 liters
Q. A die is rolled. What is the probability of rolling a number greater than 4?
A.1/6
B.1/3
C.1/2
D.1/4
Solution
The numbers greater than 4 are 5 and 6. So, the probability is 2/6 = 1/3.
Correct Answer: B — 1/3
Q. A family has 3 children. What is the probability that at least one of them is a girl?
A.1/8
B.1/4
C.3/4
D.7/8
Solution
The only scenario where there are no girls is if all are boys. The probability of all boys is (1/2)^3 = 1/8. Therefore, the probability of at least one girl is 1 - 1/8 = 7/8.
Correct Answer: D — 7/8
Q. A family has 4 members with an average age of 25 years. If the youngest member is 10 years old, what will be the average age if the youngest member turns 20?
A.26
B.27
C.28
D.29
Solution
Total age of family = 4 * 25 = 100. New total age after youngest turns 20 = 100 - 10 + 20 = 110. New average = 110 / 4 = 27.5, approximately 27.
Correct Answer: B — 27
Q. A family has 4 members with an average income of $3000. If the father earns $4000, what is the average income of the other three members?
A.2500
B.3000
C.3500
D.4000
Solution
Total income of 4 members = 4 * 3000 = 12000. Income of other 3 members = 12000 - 4000 = 8000. Average = 8000 / 3 = 2666.67, approximately 2500.
Correct Answer: A — 2500
Q. A family has an average income of $5000. If the father earns $7000, what is the average income of the mother and child?
A.4000
B.4500
C.5000
D.5500
Solution
Total income = 5000 * 3 = 15000. Income of mother and child = 15000 - 7000 = 8000. Average = 8000 / 2 = 4000.
Correct Answer: B — 4500
Q. A father is 4 times as old as his son. If the sum of their ages is 50 years, how old is the father?
A.40
B.30
C.20
D.10
Solution
Let the son's age be x. Then the father's age is 4x. So, x + 4x = 50. Solving gives the father is 40.
Correct Answer: A — 40
Q. A father is three times as old as his son. If the father is 36 years old, how old is the son?
A.12
B.10
C.15
D.9
Solution
If the father is 36 years old and he is three times as old as his son, then the son's age is 36 / 3 = 12.
Correct Answer: A — 12
Q. A grandfather is 4 times as old as his grandson. If the grandson is 5 years old, how old is the grandfather?
A.20
B.15
C.25
D.30
Solution
If the grandson is 5 years old, then the grandfather's age is 4 * 5 = 20.
Correct Answer: A — 20
Q. A group of 6 people has an average weight of 70 kg. If one person weighing 80 kg leaves, what is the new average weight?
A.68
B.69
C.70
D.71
Solution
The total weight of the group is 6 * 70 = 420 kg. After the 80 kg person leaves, the total weight becomes 420 - 80 = 340 kg. The new average is 340 / 5 = 68 kg.
Correct Answer: B — 69
Q. A group of friends has an average age of 25 years. If one friend aged 30 joins, what is the new average age of the group of 4 friends?
A.25
B.26
C.27
D.28
Solution
Total age of 3 friends = 25 * 3 = 75. New total = 75 + 30 = 105. New average = 105 / 4 = 26.25.
Correct Answer: B — 26
Q. A group of friends has an average age of 25 years. If one friend leaves and the average age becomes 26, how many friends were there originally?
A.5
B.6
C.7
D.8
Solution
Let the number of friends be x. Then, (25x - age of friend) / (x - 1) = 26. Solving gives x = 6.
Correct Answer: B — 6
Q. A is 3 times as old as B. If the sum of their ages is 48 years, how old is A?
A.36
B.24
C.12
D.18
Solution
Let B's age be x. Then A's age is 3x. So, x + 3x = 48, which gives 4x = 48, hence x = 12. Therefore, A is 3 * 12 = 36 years old.
Correct Answer: A — 36
Q. A is 3 years older than B. If the sum of their ages is 27, how old is A?
A.12
B.15
C.18
D.21
Solution
Let B's age be x. Then A's age is x + 3. So, x + (x + 3) = 27. Solving gives x = 12. Therefore, A is 15.
