Questions from aptitude section

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Consider a string P of length $l$ that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as repres...
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I am 2nd year btech student(starting) i want to appear in gate exam in 3rd year respectively. i have 1.5 year for my prep .and my maths is weak ...please can someone sugg...
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​​​Let $f(.)$ be a twice differentiable function from $\mathbb{R}^2 \rightarrow \mathbb{R}$. If $\boldsymbol{p}, x_0 \in \mathbb{R}^2$ where $\|p\|$ is sufficiently small...
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A part, produced in high volumes, is dimensioned as shown. The machining process making this part is known to be statistically in control based on sampling data. The samp...
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482
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$F(t)$ is a periodic square wave function as shown. It takes only two values, $4$ and $0$, and stays at each of these values for $1$ second before changing. What is the c...
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556
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Two mild steel plates of similar thickness, in butt-joint configuration, are welded by gas tungsten arc welding process using the following welding parameters.$$\begin{ar...
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The lengths of a large stock of titanium rods follow a normal distribution with a mean $(\mu)$ of $440$ mm and a standard deviation $(\sigma)$ of $1$ mm.What is the perce...
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The inverse Laplace transform of the function $F(s) = \dfrac{1}{s(s+1)}$ is given by$f(t) = \sin t$$f(t) = e^{-t} \sin t$$f(t) = e^{-t}$$f(t) = 1-e^{-t}$
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In a simple Brayton cycle, the pressure ratio is $8$ and temperatures at the entrance of compressor and turbine are $300$ $K$ and $1400$ $K$, respectively. Both compresso...
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