Maths

Question: In △STU, ∠STU=90°, ST=8 cm, and SU=15 cm. Find TU and determine the type of triangle △STU.(A) TU=17 cm, Right triangle(B) TU=18 cm, Obtuse triangle(C) TU=15 cm, Right triangle(D) TU=16 cm, Acute triangle Solution: Calculate TU using the Pythagorean theorem:TU² = SU² – ST²TU = √15² – 8² = √225 – 64 = √161 = 12.7 cm.Determine the Type of Triangle: Since […]

Question: Two friends start walking from the same point in the same direction. One walks at 4 km/h and the other at 6 km/h. How long will it take for the faster friend to be 3 km ahead?A) 1 hourB) 1.5 hoursC) 2 hoursD) 2.5 hours Solution: The relative speed between the two friends is:Relative speed=6 km/h−4 km/h=2 km/hTime

Question: Two fountains in a park spray water at intervals of 25 seconds and 40 seconds respectively. If they spray together at 10:00 AM, after how many seconds will they spray together again?(A) 100 seconds(B) 200 seconds(C) 400 seconds(D) 600 seconds Solution: We need to find the LCM of 25 and 40.Prime factorization of 25:25

Question: A television was originally priced at $1,200. It was discounted by 30%. What is the discount amount?a) $300b) $320c) $350d) $360 Solution: Discount = 30% of $1,200 = 30⁄100 × 1,200=360. 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: 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