ISRO Scientist or Engineer Mechanical May 2017

Instructions

For the following questions answer them individually

Question 31

The point where the plane x + 3y + 2z − 6 = 0 meets the line joining P (2, 1, 1) and Q (1, 3, − 2) is,

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Question 32

$$\int_{0}^{\frac{\pi}{2}}\sin^{7}x dx $$ is

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Question 33

Laplace transform of $$t \cos (at)$$ is

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Question 34

If two vectors $$\overrightarrow{a} = 3i + 4j - 7k$$ and $$\overrightarrow{b} = Pi - 6j + 3k$$ are perpendicular, the value of $$P$$ is

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Question 35

The arithmetic mean of 12 data point is 79. Later it was found that two data points were wrongly taken as 83 and 68 in place of 78 and 97. The actual mean is

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Question 36

How does cetane number varies with octane number in fuels in IC engines?

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Question 37

The relationship of the shear angle $$\phi = \frac{\pi}{4} - \beta + \frac{\alpha}{2}$$ is as per ('$$\alpha$$' is rake angle and '$$\beta$$' is friction angle)

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Question 38

For a plate with an elliptical hole subjected to tensile stress, $$\sigma$$ as shown in the figure, the maximum tensile stress at point P is

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Question 39

A centrifugal compressor is suitable for which of the following?

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Question 40

The optimum cutting speed for maximum production is (‘n’ is tool constant and ‘Tc ’ is time required to change the tool)

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