Maths

Question: A shopkeeper marks up an item by 25%. If the cost price is $80, what is the selling price?(a) $90(b) $100(c) $110(d) $120 Solution: Markup = 25% of $80 = 25⁄100×80=20.Selling price = $80 + $20 = $100. 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 salary of $50,000 is reduced by 8%. What is the new salary?a) $45,000b) $46,000c) $46,500d) $47,000 Solution: Reduction = 8% of $50,000 = 8⁄100×50,000=4,000.New salary = $50,000 – 4,000 = $46,000. 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 student scored 80% on a test with 50 questions. How many questions did the student answer correctly?(a) 35(b) 40(c) 42(d) 45 Solution: Correct answers = 80% of 50 = 80⁄100 × 50 = 40. 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 fruit basket, there are 10 apples, 5 oranges, and 15 bananas. If a fruit is randomly selected, what is the probability that it is either an orange or a banana?(A) 2⁄3(B) 1⁄2(C) 3⁄5(D) 1⁄6 Solution: Total fruits = 10 (apples) + 5 (oranges) + 15 (bananas) = 30.Number of oranges or bananas

Question: A teacher has a box of 20 pens: 10 are blue, 7 are black, and 3 are red. If she randomly selects one pen, what is the probability that it is blue or red?(A) 1⁄5(B) 11⁄9(C) 5⁄7(D) 13⁄20 Solution: Total pens = 20.Number of blue or red pens = 10+3=13.Thus, the probability is:P(blue or red)= 13⁄20

Question: Find the surface area of a sphere with a radius of 6 cm. What is the surface area?(A) 72π cm²(B) 144π cm²(C) 216π cm²(D) 288π cm² Solution: The surface area of a sphere is given by:Surface Area=4πr²Substitute the radius:Surface Area= 4π×6²Surface Area= 4π×36= 144π cm² 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 car travels 200 km in 4 hours and then 300 km in 6 hours. What is the average speed of the car for the entire journey?(a) 60 km/h(b) 65 km/h(c) 50 km/h(d) 75 km/h Solution: Total distance covered:Total distance= 200+300=500 kmTotal time taken:Total time= 4+6=10 hoursAverage speed:Average speed= 500⁄10 = 50 km/hHence, the average speed for the entire journey

Question: What is the next number in the series?10, 20, 30, 50, 80, ?(A) 100(B) 120(C) 130(D) 150 Solution: The differences are:20 – 10 = 1030 – 20 = 1050 – 30 = 2080 – 50 = 30The differences are: 10, 10, 20, 30 (which increase by 10, then by 10).Next difference:30+40=70.Next term:80+70=150. Our Social

Question: The ratio of the number of buses to trucks in a transport depot is 7:5. If there are 175 buses, how many trucks are there?(A) 110(B) 120(C) 125(D) 135 Solution: Let the number of buses and trucks be 7x and 5x, respectively. Given that there are 175 buses:7x=175x= 175⁄7 = 25The number of trucks:5x=5×25=125

Question: A bag contains 4 blue, 6 green, and 5 red marbles. If one marble is drawn at random, what is the probability that it is not blue?(A) 5⁄15(B) 11⁄15(C) 1⁄3(D) 4⁄15 Solution: Total marbles = 4 (blue) + 6 (green) + 5 (red) = 15.Number of non-blue marbles = 6 (green) + 5 (red)