Questions by gatecse

The inventory holding cost of an item is ₹ $0.50$ per unit per month and the ordering cost per order is ₹ $550$. A stockist needs to supply $10000$ units of the item per ...

A metal has $\text{FCC}$ crystal structure with $2.71 \mathrm{~g} / \mathrm{cm}^{3}$ of density and $26.98 \mathrm{~g} / \mathrm{mol}$ of atomic weight. The Avogadro's nu...

During orthogonal turning by using a single point cutting tool, feed rate is $0.24 \mathrm{~mm} / \mathrm{rev}$. The uncut chip thickness is $0.23$ mm. The shear angle, t...

A drill bit during its lifetime can produce $150$ through holes in a plate at a drill-speed of $200$ RPM. If the drill-speed increases to $300$ RPM , then it can produce ...

The activities of a PERT network and their corresponding activity time estimates (in weeks) i.e., optimistic ( $t_{o}$ ), most likely ( $t_{m}$ ), and pessimistic ( $t_{p...

If $y(x)$ satisfies the differential equation $(\sin x) \dfrac{\mathrm{d}y }{\mathrm{d} x} + y \cos x = 1,$subject to the condition $y(\pi/2) = \pi/2,$ then $y(\pi/6)$ is...

The value of $\displaystyle{} \lim_{x \rightarrow 0} \left( \frac{1 – \cos x}{x^{2}}\right)$ is$\frac{1}{4}$$\frac{1}{3}$$\frac{1}{2}$$1$

The Dirac-delta function $\left ( \delta \left ( t-t_{0} \right ) \right )$ for $\text{t}$, $t_{0} \in \mathbb{R}$, has the following property$$\int_{a}^{b}\varphi \left ...

The ordinary differential equation $\dfrac{dy}{dt}=-\pi y$ subject to an initial condition $y\left ( 0 \right )=1$ is solved numerically using the following scheme:$$\fra...

Consider a binomial random variable $\text{X}$. If $X_{1},X_{2},\dots ,X_{n}$ are independent and identically distributed samples from the distribution of $\text{X}$ with...