Recent questions without answers

A $5$ kg mass is suspended at the free end of an overhanging massless beam, having a pin support and a roller support, as shown in the figure below. Young's modulus of th...

A very long fin of a uniform square cross-section is replaced by another very long fin of a uniform circular cross-section of the same material. Assume uniform and identi...

For an ideal regenerative Rankine cycle, as shown in the figure below, which one of the following options is the correct representation of temperature-entropy (T-s) diagr...

Consider the Euler variables of polyhedral objects namely, $\text{P1, P2, P3,}$ and $\text{P4}$ as given in the table below.\[\begin{array}{|c|c|c|c|c|c|c|}\hline\text{Po...

An objective function $Z$ of primal variables ( $x_{1}$ and $x_{2}$ ) is described below:\[\begin{array}{ll}\text { Minimize } Z= & 0.07 x_{1}+0.05 x_{2} \\\text { subjec...

Four jobs are on order in a factory. As on day $20$ of the production calendar, the corresponding due date and work remaining to complete these jobs (in days) are given i...

A block of $50$ kg mass is on an inclined plane. The block is connected to another hanging mass M by an inextensible massless string through two massless pulleys as shown...

A simply supported beam is subjected to an external point load P as shown in the figure below. The beam has a rectangular cross-section of $20 \mathrm{~mm} \times 45 \mat...

A rigid slender bar, AB, is sliding against two mutually perpendicular frictionless walls, as shown in the figure below. The velocity of A in the downward direction at a ...

A cylindrical pressure vessel made of steel has diameter of $3$ m and wall thickness of $15$ mm. For steel, Young's modulus and Poisson's ratio are $210$ GPa and $0.3$, r...

A welded square plate of $1 \mathrm{~m} \times 1 \mathrm{~m}$ is subjected to biaxial stress of magnitude $6.5$ MPa and $25$ MPa , as shown in the figure below. The ratio...

Water with a density of $1000 \mathrm{~kg} / \mathrm{m}^{3}$ comes out of an industrial condenser through a horizontal pipe of 15 cm radius at the flow rate of $4.5 \math...

Two rectangular surfaces both having $1 \mathrm{~m}^{2}$ area are placed perpendicular to each other with a common edge. One surface is hot, having a temperature of $1000...

Convective heat transfer coefficients for Fluid $1$ and Fluid $2$ in a heat exchanger, as shown in the figure below, are $50 \mathrm{~W} /\left(\mathrm{m}^{2} \mathrm{~K}...

A liquid comes out of the reactor of a chemical plant at $250^{\circ} \mathrm{C}$ temperature with a flow rate of $100$ LPM. The ambient temperature is $25^{\circ} \mathr...

A rigid closed vertical cylindrical vessel of $15$ cm diameter contains $5$ kg water at $80^{\circ} \mathrm{C}$ with $10 \%$ quality. The water is heated till its tempera...

An inward flow reaction turbine, having an outer diameter of $1$ m, runs at $600$ RPM. The normal component of absolute velocity at the inlet is $10 \mathrm{~m} / \mathrm...

In a deep drawing operation of a rectangular sheet metal, $30\%$ stretching in length results in $15\%$ reduction in thickness. Assuming volume constancy, the normal anis...

The actual demand for castings in a factory is $500$ units and $635$ units for the months of January $2026$ and February $2026$, respectively. The forecasted demand for J...

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...

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...

Suppose that with a pulley system, youneed to exert a force of 1,400 N to lifta heavy object. But without the pulleysystem, you need to exert 4,200 N tolift the object. W...

Two cars, $P$ and $Q$, start from a point $X$ in India at $10 \text{ AM}$ . Car $P$ travels North with a speed of $25 \mathrm{~km} / \mathrm{h}$ and car $Q$ travels East ...

The ceiling function of a real number $x$, denoted by $c e(x)$, is defined as the smallest integer that is greater than or equal to $x$. Similarly, the floor function, de...

$P$ and $Q$ play chess frequently against each other. Of these matches, $P$ has won $80 \%$ of the matches, drawn $15 \%$ of the matches and lost $5 \%$ of the matches.If...

Which one of the following options has the correct sequence of objects arranged in the increasing number of mirror lines (lines of symmetry)?Circle; Square; Equilateral t...