Q) Tharunya was thrilled to know that the football tournament is fixed with a monthly timeframe from 20th July to 20th August 2023 and for the first time in the FIFA Women’s World Cup’s history, two nations host in 10 venues. Her father felt that the game can be better understood if the position of players […]
September 2023
Q) Manpreet Kaur is the national record holder for women in the shot-put discipline. Her throw of 18.86m at the Asian Grand Prix in 2017 is the maximum distance for an Indian female athlete. Keeping her as a role model, Sanjitha is determined to earn gold in Olympics one day. Initially her throw reached 7.56m
Q) The median of the following data is 50. Find the values of ‘p” and ‘q’, if the sum of all frequencies is 90. Also find the mode of the data. Ans: Let’s re-organize the data in the frequency table and calculate the values: The sum of all frequencies, By summing up the families, we
Q) A tent is in the shape of a cylinder surmounted by a conical top. If the height and radius of the cylindrical part are 3 m and 14 m respectively, and the total height of the tent is 13.5 m, find the area of the canvas required for making the tent, keeping a provision
Q) Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in pond rise by 21 cm? What should be the speed of water if the rise in
Q) In the given figure, ∠ CEF = ∠ CFE. F is the midpoint of DC. Prove that . Ans: Step 1: From given conditions: ∵ ∠ CEF = ∠ CFE ∴ CE = CF (sides of opp. Angles) 2. ∵ F is midpoint of CD ∴ FD = CF ∴ CE = CF =
Q) Two water taps together can fill a tank in 9 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time (in hrs) which each tap can separately fill the tank. Ans: VIDEO SOLUTION STEP BY STEP SOLUTION It is given that,Time taken
Q) A motor boat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream. Ans: VIDEO SOLUTION STEP BY STEP SOLUTION It is given that, Speed of motor boat = 18 km/hrDistance travelled =24
Q) The length of 40 leaves of a plant are measured correct to nearest millimetre, and the data obtained is represented in the following table: Find the mean length of the leaves. Ans: Let’s re-arrange the data with midpoint of each class, frequency, and multiply midpoint with frequency: We know that, mean value of grouped data
Q) If 1 + sin2 θ = 3 sin θ cos θ, then prove that tan θ = 1 or 1/2 Ans: Given that 1 + sin2 θ = 3 sin θ cos θ We know that sin2 θ + cos2 θ = 1 Hence, 1 + sin2 θ = 3 sin θ cos θ will become:
If 1 + sin^2 θ = 3 sin θ cos θ, then prove that tan θ = 1 or 1/2 Read More »