Q. A survey of favorite fruits among 20 people resulted in the following counts: Apple (6), Banana (8), Orange (4), Grape (2). What is the mode of the favorite fruits? (2023)
A.Apple
B.Banana
C.Orange
D.Grape
Solution
Banana has the highest count (8), so the mode is Banana.
Q. A swimmer can swim at 4 km/h in still water. If he swims across a river that is 1 km wide and the current is 2 km/h, how long will it take him to reach the opposite bank?
A.15 minutes
B.30 minutes
C.45 minutes
D.1 hour
Solution
Time = distance/speed = 1 km / 4 km/h = 0.25 hours = 15 minutes.
Q. A table shows the number of hours spent on different activities in a week: Work (40 hours), Sleep (56 hours), Leisure (20 hours), and Exercise (14 hours). How many hours are unaccounted for? (2023)
A.10
B.12
C.14
D.16
Solution
Total hours in a week = 168; Total accounted = 40 + 56 + 20 + 14 = 130; Unaccounted = 168 - 130 = 38.
Q. A table shows the sales of different products in a store. If Product X sold 150 units, Product Y sold 200 units, Product Z sold 100 units, and Product W sold 50 units, what is the total number of units sold? (2023)
Q. A tank can be filled by a pipe in 6 hours and emptied by another pipe in 8 hours. If both pipes are opened together, how long will it take to fill the tank? (2020)
A.12 hours
B.24 hours
C.48 hours
D.18 hours
Solution
Rate of filling = 1/6 tank/hour, Rate of emptying = 1/8 tank/hour. Combined rate = 1/6 - 1/8 = 1/24 tank/hour. Time = 1 / (1/24) = 24 hours.
Q. A tank can be filled by two pipes in 12 hours and 15 hours respectively. How long will it take to fill the tank if both pipes are opened together? (2021)
A.7 hours
B.8 hours
C.9 hours
D.10 hours
Solution
Rate of first pipe = 1/12, Rate of second pipe = 1/15. Combined rate = 1/12 + 1/15 = 1/7.2. Time = 7.2 hours.
Q. A teacher has 48 pencils and 60 erasers. She wants to distribute them equally among students. What is the maximum number of students she can distribute to? (2023)
A.12
B.6
C.8
D.10
Solution
The HCF of 48 and 60 is 12, which is the maximum number of students she can distribute to equally.
Q. A teacher has an average score of 85 for her class of 20 students. If one student scores 95, what will be the new average if the class size increases to 21? (2023)
A.84
B.85
C.86
D.87
Solution
Total score = 85 × 20 + 95 = 1700 + 95 = 1795. New average = 1795 / 21 = 85.95, which rounds to 86.
Q. A teacher has an average score of 85 in her class of 20 students. If one student scores 95, what will be the new average if the student is removed from the class? (2023)
A.84
B.85
C.86
D.87
Solution
Total score = 85 × 20 = 1700. New total score = 1700 - 95 = 1605. New average = 1605 / 19 = 84.47, which rounds to 84.
Q. A teacher has an average score of 85 in her class. If she adds a new student who scores 95, how will the average change if the class size increases from 10 to 11?
A.Remains the same
B.Increases
C.Decreases
D.Cannot be determined
Solution
Current total score = 85 × 10 = 850. New total score = 850 + 95 = 945. New average = 945 / 11 = 85.91, which increases the average.
