# December 2023

Q)  Adventure camps are the perfect place for the children to practice decision making for themselves without parents and teachers guiding their every move. Some students of a school reached for adventure at Sakleshpur. At the camp, the waiters served some students with a welcome drink in a cylindrical glass and some students in a […]

Q)    Solve the following quadratic equation by factorization method:  Ans: Please do press “Heart” button if you liked the solution.

Q) Find the mode of the following frequency distribution: Ans: Since the modal class is the class with the highest frequency. In the given question, class “40 – 50” has 17 frequency which is the highest frequency among all other classes. Hence, modal class is “40 – 50”. Now mode of the grouped data is calculated

Q) The product of Rehan’s age (in years) 5 years ago and his age 7 years from now, is one more than twice his present age. Find his present age. Ans: Let’s consider Rehan’s present age is X. Age 5 years ago = X – 5 Age 7 years from now = X + 7

Q) For what value of x, is the median of the following frequency distribution 34.5 ? Ans: Let’s re-organize the data in the frequency table to find out each part: To find the median, we need to identify middle value of the data. Let’s rearrange the data: First, we need to find the cumulative frequency

Q) The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, then find the height of the building. Ans: Step 1: Diagram

Q) From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at a height of 3 m from the banks, then find the width of the river. Ans: Step 1: Diagram for this question: Step

Q) Following is the daily expenditure on lunch by 30 employees of a company: Find the mean daily expenditure of the employees. Ans: We can solve this question by 2 methods: (you can choose any one method whichever you like): I. Direct Method: let’s re-arrange the data with midpoint of each class, frequency, and multiply midpoint

Q) Pookalam is the flower bed or flower pattern designed during Onam in Kerala. It is similar as Rangoli in North India and Kolam in Tamil Nadu. During the festival of Onam , your school is planning to conduct a Pookalam competition. Your friend who is a partner in competition, suggests two designs given below. Observe

Q) Scale drawing of an object is the same shape at the object but a different size. The scale of a drawing is a comparison of the length used on a drawing to the length it represents. The scale is written as a ratio. The ratio of two corresponding sides in similar figures is called the

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