The value of one U.S. dollar is 65 Indian Rupees today, compared to 60 last year. The Indian Rupee has _________.

'Advice' is ______.

Find the next term in the sequence: 7G, 11K, 13M, ______

“India is a country of rich heritage and cultural diversity.” Which one of the following facts best supports the claim made in the above sentence?

In which of the following options will the expression P < M be definitely true?

The multi-level hierarchical pie chart shows the population of animals in a reserve forest. The correct conclusions from this information are:

(i) Butterflies are birds. (ii) There are more tigers in this forest than red ants. (iii) All reptiles in this forest are either snakes or crocodiles. (iv) Elephants are the largest mammals in this forest.

If a function is continuous at a point,

Divergence of the vector field x² z_i + xyj – yz² k at (1, - 1, 1) is

Consider a single degree-of-freedom system with viscous damping excited by a harmonic force. At resonance, the phase angle (in degree) of the displacement with respect to the exciting force is

A mass m₁ of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with a stationary mass m₂ of 1000 kg. After the collision, both the masses travel together with the same velocity. The coefficient of restitution is

Gear 2 rotates at 1200 rpm in counter clockwise direction and engages with Gear 3. Gear 3 and Gear 4 are mounted on the same shaft. Gear 5 engages with Gear 4. The numbers of teeth on Gears 2, 3, 4 and 5 are 20, 40, 15 and 30, respectively. The angular speed of Gear 5 is

Which one of following is NOT correct?

Consider a long cylindrical tube of inner and outer radii, r_i and r_o, respectively, length, L and thermal conductivity, k. Its inner and outer surfaces are maintained at T_i and T_o, respectively (T_i > T_o). Assuming one-dimensional steady state heat conduction in the radial direction, the thermal resistance in the wall of the tube is

Consider a 3 ^_x 3 real symmetric matrix S such that two of its eigen values are a ^_$\neq$ 0, b ^_$\neq$ 0 with respective eigenvectors ^{$\begin{bmatrix} \ x1 \ \ x2 \ \ x3 \ \end{bmatrix}$}, ^{$\begin{bmatrix} \ y1 \ \ y2 \ \ y3 \ \end{bmatrix}$}. If a ^_$\neq$ b than x₁ y₁ + x₂ y₂ + x₃ y₃ equals

For a gas turbine power plant, identify the correct pair of statements. P. Smaller in size compared to steam power plant for same power output Q. Starts quickly compared to steam power plant R. Works on the principle of Rankine cycle S. Good compatibility with solid fuel

Consider the turbulent flow of a fluid through a circular pipe of diameter, D. Identify the correct pair of statements.

I. The fluid is well-mixed. II. The fluid is unmixed. III. Re_D < 2300 IV. Re_D < 2300

The process utilizing mainly thermal energy for removing material is

Cutting tool is much harder than the workpiece. Yet the tool wears out during the tool-work interaction, because

A minimal spanning tree in network flow models involves

Which one of the following pairs of equations describes an irreversible heat engine?

The hot tearing in a metal casting is due to

Consider a simply supported beam of length, 50h, with a rectangular crosssection of depth, h, and width, 2h. The beam carries a vertical point load, P, at its mid-point. The ratio of the maximum shear stress to the maximum bending stress in the beam is

The distance x from the end of the beam as shown in the figure. What would be the value of x so that the displacement at ‘A’ is equal to zero?

A machine produces 0, 1 or 2 defective pieces in a day with associated probability of 1/6, 2/3 and 1/6, respectively. The mean value and the variance of the number of defective pieces produced by the machine in a day, respectively, are

An annular disc has a mass m, inner radius R and outer radius 2R. The disc rolls on a flat surface without slipping. If the velocity of the center of mass is v, the kinetic energy of the disc is

Consider two solutions x(t) = x₁(t) and x(t) = x₂ (t) of the differential equation ^{$\frac{d^2x(t)}{dt^2}$} + x (t) = 0, t > 0, such that x₁ (0) = 1,^{$\frac{dx_1(t)}{dt} \Big|{t -0} = 0, x_2(0) = 0, \frac{dx_2(t)}{dt}\Big|{t-0}$} = 1

The Wronskian W (t) = ^{$\begin{bmatrix} \ x_1(t) & x_2(t) \ \ \frac{dx_1(t)}{dt} & \frac{dx_2(t)}{dt} \ \end{bmatrix}$} at t = ^{$\frac{\pi}{2}$} is

Consider a rotating disk cam and a translating roller follower with zero offset. Which one of the following pitch curves, parameterized by t, lying in the interval 0 to 2p, is associated with the maximum translation of the follower during one full rotation of the cam rotating about the center at (x, y) = (0, 0)?

Match the casting defects (Group A) with the probable causes (Group B).

A manufacturer can produce 12000 bearing per day. The manufacturer received an order of 8000 bearings per day from a customer. The cost of holding a bearing in stock is Rs. 0.20 per month. Setup cost per production run is Rs. 500. Assuming 300 working days in a year, the frequency of production run should be

A certain amount of an ideal gas is initially at a pressure p₁and temperature T₁. FIrst, it undergoes a constant pressure process 1-2 such that T₂ = 3T₁/4. Then, it undergoes a constant volume process 2-3 such that T₃ = T₁/2. The ratio of the final volume to the initial volume of the ideal gas is

A solid sphere of radius r₁ = 20 mm is placed concentrically inside a hollow sphere of radius r₂ = 30 mm as shown in the figure.

The view factor F₂₁ for radiation heat transfer is

Consider the given project network, where numbers along various activities represent the normal time. The free float on activity 4-6 and the project duration, respectively, are

Which pair of following statements is correct for orthogonal cutting using a singlepoint cutting tool? P. Reduction in friction angle increases cutting force Q. Reduction in friction angle decreases cutting force R. Reduction in friction angle increases chip thickness S. Reduction in friction angle decreases chip thickness

The stress-strain curve for mild steel is shown in the figure given below. Choose the correct option referring to both figure and table.

A siphon is used to drain water from a large tank as shown in the figure below. Assume that the level of water is maintained constant. Ignore frictional effect due to viscosity and losses at entry and exit. At the exit of the siphon, the velocity of water is

A cylindrical blind riser with diameter d and height h, is placed on the top of the mold cavity of a closed type sand mold as shown in the figure. If the riser is of constant volume, then the rate of solidification in the riser is the least when the ratio h : d is

An analytic function of a complex variable z = x + iy is expressed as f(z) = u (x, y) + iv (x, y), where i = ^$\sqrt{-1}$. If u (x, y) = x² – y², then expression for v (x, y) in terms of x, y and a general constant c would be