Maths

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

Question: Find the smallest 3-digit number divisible by 7.A. 105B. 112C. 100D. 107 Solution: Smallest 3-digit number is 100.First divisible by 7:100÷7 =14 remainder 2.Smallest =100+(7−2) = 105. 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 survey, 10 students scored between 70–80, 20 students scored between 80–90, and 15 students scored between 90–100. What is the cumulative frequency for scores between 80 and 100?(A) 35(B) 30(C) 25(D) 20 Solution: The cumulative frequency for scores between 80 and 100 includes the students who scored between 80–90 and 90–100.Cumulative Frequency =20+15=35

Question: A cyclist travels 150 km in 5 hours. If the cyclist had traveled at a speed of 30 km/h, the journey would have taken 3 hours more. What is the actual speed of the cyclist?a) 25 km/hb) 30 km/hc) 35 km/hd) 40 km/h Solution: Let the actual speed of the cyclist be x km/h.Time

Question: The ratio of the number of bicycles to motorcycles is 4:3. If there are 36 motorcycles, how many bicycles are there?A) 40B) 44C) 48D) 50 Solution: Let the number of bicycles and motorcycles be 4x and 3x, respectively. Given that there are 36 motorcycles:3x=36x= 36/3 = 12The number of bicycles is:4x = 4 ×