reasoning, Mathematics

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logical reasoning

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Solution Of Rectilinear Figures, Find the number of square feet of pavement...

Find the number of square feet of pavement required for the shaded portion of the streets shown in the figure, all the streets being 50 feet wide.

Find the radii of the two circles , The sum of the diameters of two circle...

The sum of the diameters of two circles is 2.8 m and their difference of circumferences is 0.88m. Find the radii of the two circles  (Ans: 77, 63) Ans:    d 1 + d 2 = 2.8 m=

Determine the team having similar code-pigeon hole principle, Shirts number...

Shirts numbered consecutively from 1 to 20 are worn by 20 members of a bowling league. While any three of these members are selected to be a team, the league aims to use the sum of

Proof f(x) + g(x) dx = f(x) dx + g(x) dx anti-derivation, Proof of: ...

Proof of: ∫ f(x) + g(x) dx = ∫ f(x) dx + ∫g(x) dx It is also a very easy proof. Assume that F(x) is an anti-derivative of f(x) and that G(x) is an anti-derivative of

Calculate the quarterly premium of a pension policy, You plan to retire whe...

You plan to retire when you are 65th years old.  You are now 25 years old.  You plan to buy a pension annuity that will pay you $100,000 per year starting one year after you turn 6

Level curves or contour curves - three dimensional space, Level Curves or C...

Level Curves or Contour Curves Another topic that we should look at is that of level curves or also known as contour curves. The level curves of the function z = f (x, y) are t

Using euclid''s algorithm find the value of x & y, If d is the HCF of 30, 7...

If d is the HCF of 30, 72, find the value of x & y satisfying d = 30x + 72y. (Ans:5, -2 (Not unique) Ans:    Using Euclid's algorithm, the HCF (30, 72) 72 = 30 × 2 + 12

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