Q) In a teachers’ workshop, the number of teachers teaching French, Hindi and English are 48, 80 and 144 respectively. Find the minimum number of rooms required if in each room the same number of teachers are seated and all of them are of the same subject. Ans: STEP BY STEP SOLUTION The number of […]
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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, VS = 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 »
Q) The vertices of a quadrilateral ABCD are A(6, – 2), B(9, 2), C(5, – 1) and D(2, – 5). Prove that ABCD is a rhombus, and not a square. Ans: 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.
The vertices of a quadrilateral ABCD are A(6, – 2), B(9, 2), C(5, – 1) and D(2, – 5). Read More »
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 teachers’ workload as well as the allocation of resources. A survey was conducted
Q) 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) 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 »
Q) February 14 is celebrated as International Book Giving Day and many countries in the world celebrate this day. Some people in India also started celebrating this day and donated the following number of books of various subjects to a public library : History = 96, Science = 240, Mathematics = 336. These books have to
Q) Which of the following are APs? If they form an AP, find the common difference d and write three more terms. (viii) – 1/2, – 1/2, – 1/2, – 1/2, … Ans: Here we are given a sequence and we need to determine if the sequence qualifies to be an AP or not. After
Q) Which of the following are APs? If they form an AP, find the common difference d and write three more terms. (vi) 0.2, 0.22, 0.222, 0.2222, … Ans: Here we are given a sequence and we need to determine if the sequence qualifies to be an AP or not. After that, we need to