Maths

Question: A boat travels 36 km downstream in 2 hours and takes 3 hours to travel the same distance upstream. What is the speed of the boat in still water?A) 12 km/hB) 14 km/hC) 15 km/hD) 16 km/h Solution: Let the speed of the boat in still water be b km/h, and the speed of […]

Question: A retailer offers a 15% discount on an item that is priced at $200. What is the selling price after the discount?a) $170b) $175c) $180d) $185 Solution: Discount =15% of $200 = 15⁄100×200=30.Selling price = $200 – $30 = $170. Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy

Question: Two machines are running at different intervals. Machine A runs every 16 minutes, and Machine B runs every 24 minutes. If both machines start running together at 8:00 AM, at what time will they both run together again?(A) 8:16 AM(B) 8:24 AM(C) 8:48 AM(D) 9:12 AM Solution: We need to find the LCM of

Question: A cube has a total surface area of 96 cm². What is the length of each side?A) 4 cmB) 6 cmC) 8 cmD) 10 cm Solution: Surface area of cube = 6a² = 96, solving for a, a=4 cm. Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy

Question: In a class, there are 12 students who play football, 8 who play basketball, and 5 who play both sports. If a student is chosen at random, what is the probability that the student plays only football?(A) 7/15(B) 9/15(C) 10/15(D) 13/15 Solution: Total students who play football only = 12−5=7.Total students in the class

Question: A water tank can hold 500 liters of water. If it is currently 3/5 full, how much more water is needed to fill the tank? Calculate the required amount of water.A) 100 litersB) 150 litersC) 200 litersD) 250 liters Solution: Water in the tank = 3/5×500=300 liters.Water needed = 500 – 300 = 200

Question: A, B, C, and D can individually complete a task in 10, 15, 20, and 30 days respectively. How long will they take if all 4 work together?A) 3.42 daysB) 4 daysC) 3.75 daysD) 4.25 days Solution: Work per day by A = 1⁄10, B = 1⁄15, C = 1⁄20, D = 1⁄30.Total work

Question: Scenario: Two triangular rooftops are constructed with sides of 9 meters, 12 meters, and 15 meters. The second rooftop is identical but situated on the opposite side of the building. Question: Which congruence criterion can be used to prove that the two triangular rooftops are congruent? A) SSSB) ASAC) RHSD) SAS Solution: Both triangular

Question: The sum of three consecutive integers is 96. Find the integers.A. 31, 32, 33B. 32, 33, 34C. 30, 31, 32D. 33, 34, 35 Solution: Let integers be x,x+1,x+2.x+(x+1)+(x+2)=96.3x+3=96, 3x=93, x=31. Integers:31,32,33. Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy

Question: If a person eats 9 apples in 3 days, how many apples will he eat in 15 days at the same rate?A) 45 applesB) 50 applesC) 55 applesD) 60 apples Solution: Step 1: Find the number of apples eaten per day.Apples per day=9apples/3days=3apples/dayStep 2: Use the unitary method to find how many apples will be eaten