MATH

Mathematics (Math) is a vast subject that encompasses many different subcategories. Some common subcategories of Mathematics MCQs (Multiple Choice Questions) include:

  1. Algebra: This subcategory covers questions related to algebraic equations, operations, and functions, including topics such as polynomials, matrices, and linear algebra.
  2. Geometry: This subcategory covers questions related to the study of shapes and their properties, including topics such as lines, angles, triangles, and circles.
  3. Trigonometry: This subcategory covers questions related to the study of triangles and their properties, including topics such as trigonometric functions, identities, and equations.
  4. Calculus: This subcategory covers questions related to the study of rates of change and accumulation. Including topics such as differentiation, integration, and limits.
  5. Statistics: This subcategory covers questions related to the collection, analysis, and interpretation of data. Including topics such as probability, distributions, and hypothesis testing.
  6. Applied Mathematics: This subcategory covers questions related to the application of mathematical concepts. And techniques to solve practical problems in various fields, including topics such as optimization, game theory, and cryptography.

These categories of math can be useful for students and professionals to organize and classify different types of Mathematics MCQs. And to focus their study efforts on specific areas of mathematics that are relevant to their interests and career goals.

If the angle of elevating of a tower from a distance of 100 meters from its foot is 60. The height of tower will be(Assistant CPD PPSC 2022)

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Let AB be the tower and a point P at a distance of 100 m from its foot, the angle of elevation of the top of the tower is 60° Let the height of the tower = h Then in right ΔABPtanθ=PerpendicularBase=ABPB⇒tan60∘=h100⇒3–√=h100⇒h=1003–√∴Heightoftower=1003–√

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If A&B can complete a work in 3 days. They start together but after two days B left the work. If the work is completed after 2 more days B alone can do work in?(Assistant Agricultural PPSC 2022)

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Answer Detail

1st Method: (A+B)'s one day's work = 13 part (A+B) works 2 days together = 23 part Remaining work = 1−23 = 13 part 13 part of work is completed by A in two days Hence, one day's work of A = 16 Then, one day's work of B = 13−16 = 16 So, B alone can complete the whole work in 6 days. 2nd Method: (A+B)'s one day's % work = 1003 = 33.3% Work completed in 2 days = 66.6% Remaining work = 33.4% One day's % work of A = 33.42 = 16.7% One day's work of B = 33.4 - 16.7 = 16.7% B alone can complete the work in, = 10016.7 = 5.98 days ≈ 6 days.

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