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Q) Calculate the mean of the following data : Ans:Ā Letās re-arrange the data with midpoint of each class, frequency, and multiply midpoint with frequency: We know that, mean of grouped data is given by: Mean of grouped data = Therefore, Mean value = = 10.57 Hence, the mean value of the given data is […]
Q. Solve for X : Ans: Given equation is: ā“ ā“Ā 4 (2 X + 3) – 5 X = 3 X (2X + 3) ā“ 8 X + 12 – 5 X = 6 X 2Ā + 9 X ā“ 12Ā = 6 X 2Ā + 6 X ā“ 6 X 2Ā + 6 X
Q. The sum of two numbers is 18 and the sum of their reciprocals is 1/4 . Find the numbers. Ans:Ā Let the numbers be X and Y Step 1: By 1st condition: X + Y = 18 or X = 18 – Y ….. (i) Step 2: By 2nd condition: By simplifying this equation, we
Q) ABCD is a trapezium with AB Ē DC. AC and BD intersect at E. If Ī AED ~ Ī BEC, then prove that AD = BC. Ā Ans: Let’s start with the diagram for he given question: Step 1: We are given AB Ē DC, hence let’s look at ā³AEB and ā³CED:Ā Here we
Q) Determine the ratio of the volume of a cube to that of the sphere which will exactly fit inside the cube. Ans. Let’s draw the diagram for the given question: If the radius of the sphere is R, then volume of the sphere, VSĀ = If the side of the cube is X, then volume
Q) The interior of a building is in the form of a cylinder of base radius 12 m and height 3.5 m surmounted by a cone of equal base and slant height 14 m. Find the internal curved surface area of the building. Ans. Let’s draw the diagram for the given question: Now the curved
The interior of a building is in the form of a cylinder of base radius 12 m Read More Ā»
Q) The vertices of a quadrilateral ABCD are A(6, ā 2), B(9, 2), C(5, ā 1) and D(2, ā 5). Prove that ABCD is a rhombus, and not a square. Ans:Ā Let’s quickly understand the comparisons of a Square and a Rhombus: Key Similarities: 1. Both are polygons with all four sides equal in length 2.
Q) Student-teacher ratio expresses the relationship between the number of students enrolled in a school and the number of teachers employed by the school. This ratio is important for a number of reasons. It can be used as a tool to measure teachersā workload as well as the allocation of resources. A survey was conducted
Q)Ā Radio towers are used for transmitting a range of communication services including radio and television. The tower will either act as an antenna itself or support one or more antennas on its structure. On a similar concept, a radio station tower was built in two stations A and B (B vertically below A). The tower
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Q)Ā A road roller is a compactor-type engineering vehicle, used to compact soil, gravel, concrete, etc, in the construction of roads and foundations. They are also used at landfills or in agriculture. A company started making road rollers 10 years ago and increased its production uniformly by a fixed number every year. The company produces 800
A road roller is a compactor-type engineering vehicle, Read More Ā»