Maths

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

Question: If a student reads 30 pages in 2 hours, how many pages can he read in 5 hours?A) 60 pagesB) 75 pagesC) 80 pagesD) 90 pages Solution: Step 1: Find the reading rate per hour.Rate=30pages/2hours =15pages/hourStep 2: Use the unitary method to find the pages read in 5 hours.Pages in 5 hours=15pages/hour×5hours=75pages 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 wires are 105 cm and 135 cm long. The wires need to be cut into pieces of equal length with no remainder. What is the greatest possible length of each piece?(A) 15 cm(B) 21 cm(C) 27 cm(D) 35 cm Solution: We need to find the HCF of 105 and 135.Prime factorization of 105:105=3×5×7Prime

Question: How many faces does a rectangular prism (cuboid) have?a) 4b) 6c) 8d) 12 Solution: A cuboid is a 3D shape with 6 rectangular faces.For example, a box or a brick is a cuboid.Each pair of opposite faces is equal, making a total of 6 faces.Then the answer is 6. 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 store increases the price of an item by 12%. If the original price was $150, what is the new price?A) $165B) $168C) $170D) $175 Solution: To find the new price, calculate 12% of $150 and add it to the original price.12% of 150=12⁄100 ×150=18New price= 150+18=168 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 school is distributing candies and pencils to students. The school has 120 candies and 180 pencils, and it wants to divide them equally among students such that each student gets the same number of candies and pencils. What is the maximum number of students that the school can divide the items among?(A) 20

Question: A swimming pool is filled to 80% of its 1,500-liter capacity. How many liters of water are in the pool?a) 1,000 litersb) 1,100 litersc) 1,200 litersd) 1,300 liters Solution: 80% of 1,500 liters = 0.80 × 1,500 = 1,200 liters Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy