ISRO Scientist or Engineer Refrigeration & Air-Conditioning 2015

Instructions

For the following questions answer them individually

Question 71

300 kJ/s of heat is supplied at constant temperature of 500 k to a heat engine. The heat rejection takes place at 300 K. The following results are obtained (a) 210 kJ (b) 180 kJ
(c) 150 kJ. Identify whether result is a reversible cycle, irreversible cycle or impossible cycle respectively

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Question 72

If cube root of unity are $$1, w, w^2$$ then the roots of equation $$(x - 1)^3 + 8 = 0$$ are

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Question 73

If $$1, w, w^2$$ are cube roots of unity then the value of

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Question 74

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is

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Question 75

The rank of the matrix $$A = \begin{bmatrix}-2 & 4 & 2\\3 & -4 & -1\\4 & -3 & 1 \end{bmatrix}$$ is

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Question 76

If $$3e^x \tan ydx + (1 - e^x) \sec^2 ydy = 0$$, then $$y$$ is

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Question 77

Which of the following represents a wave equation?

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Question 78

$$1 + \frac{x^2}{2!} + \frac{x^4}{4!} + \frac{x^6}{6!} + .........$$ stands for

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Question 79

$$\int \sec x dx$$ is

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Question 80

Inverse Laplace transform of $$\frac{S}{S^2} + a^2$$ is

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