Aptitude - Equations

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COCOMO Model

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COCOMO Model Boehm proposed COCOMO (Constructive Cost Estimation Model) in 1981.COCOMO is one of the most generally used software estimation models in the world. COCOMO predicts the efforts and schedule of a software product based on the size of the software. The necessary steps in this model are: Get an initial estimate of the development effort from evaluation of thousands of delivered lines of source code (KDLOC). Determine a set of 15 multiplying factors from various attributes of the project. Calculate the effort estimate by multiplying the initial estimate with all the multiplying factors i.e., multiply the values in step1 and step2. The initial estimate (also called nominal estimate) is determined by an equation of the form used in the static single variable models, using KDLOC as the measure of the size. To determine the initial effort Ei in person-months the equation used is of the type is shown below Ei=a*(KDLOC)b The value of the constant a and b are depends ...
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Most Asked Number System Multiple Choice Questions

Most Asked Number System Multiple Choice Questions 1) Every rational number is a - Whole number Real number Natural number None of the above  Answer: (b) Real number Explanation: The numbers which can be found on the number line and include both rational and irrational numbers are known as real numbers, e.g., -1.5,√2,0,1,2,3,π.Almost any number which you can imagine is a real number. 2) Between any two numbers, there are - Two rational numbers No rational number Infinite rational numbers None of the above  Answer: (c) Infinite rational numbers Explanation: There are infinite rational numbers in between any two numbers. 3) What will be the value of x3 + y3 + z3, if x + y + z = 0? 3xyz 2xyz xyz xyz(xy + yz + zx)  Answer: (a) 3xyz Explanation: It is given that x + y + z = 0 On cubing both sides, we will get (x + y + z)3 = 0 x3 + y3 + z3 - 3xyz = 0 So, the value of x3 + y3 + z3 = 3xyz 4) Digit 1 is occurring 136 times on writing all of the page numbers of a book. What will be...
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Trigonometry Multiple Choice Questions

Trigonometry Multiple Choice Questions 1) Which of the following is the correct value of cot 100.cot 200.cot 600.cot 700.cot 800? 1/√3 √3 -1 1  Answer: (a) 1/√3 Explanation: Here, we can apply the formula - cot A. cot B = 1 (when A + B = 900) = (cot 200 . cot 700) x (cot 100 . cot 800) x cot 600 = 1 x 1 x 1/√3 = 1/√3 So, the correct value of cot 100.cot 200.cot 600.cot 700.cot 800 = 1/√3 2) If a sin 450 = b cosec 300, what is the value of a4/b4? 63 43 23 None of the above  Answer: (b) 43 Explanation: Given a sin 450 = b cosec 300 So, a/b = cosec 300/ sin 450 a/b = 2/( 1/√2) a/b = 2√2/1 a4/b4 = (2√2/1)4 a4/b4 = 64/1 or, a4/b4 = 43 3) If tan θ + cot θ = 2, then what is the value of tan100 θ + cot100 θ? 1 3 2 None of the above  Answer: (c) 2 Explanation: Given tan θ + cot θ = 2 Put θ = 450, above equation will satisfy as, 1 + 1 = 2 So, θ = 450, = tan100 450 + cot100 450 = 1100 + 1100 = 2 4) If the value of α + β = 900, and α : β = 2 : 1, then what is the ratio of cos α to co...
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