He is known for his unscrupulous ways. He always sheds ____ tears to deceive people.

Define [x] as the greatest integer less than or equal to x, for each x ϵ (-∞, ∞). If y = [x], then area under y for x ϵ [1,4] is

Multiplication of real valued square matrices of same dimension is

The Laplace transform of function f(t) is L(t) $$ = \frac{1}{{\left( {{s^2} + {\omega ^2}} \right)}}$$. Then, f(t) is

The stress state at a point in a material under plane stress condition is equi-biaxial tension with a magnitude of 10 MPa. If one unit on the σ - τ plane is 1 MPa, the Mohr’s circle representation of the state-of-stress is given by

A helical gear with 20° pressure angle and 30° helix angle mounted at the midspan of a shaft that is supported between two bearings at the ends. The nature of the stresses induced in the shaft is

Match the following.

Heat treatment		Effect
P:	Tempering	1.	Strengthening
Q:	Quenching	2.	Toughening
R:	Annealing	3.	Hardening
S:	Normalizing	4.	Softening

Joule-Thompson coefficient for an ideal gas is

For three vectors $$\vec A = 2\hat j - 3\hat k,\vec B = - 2\hat i + \hat k\ and\;\vec C = 3\hat i - \hat j,$$ where î, ĵ and k̂ are unit vectors along the axes of a right-handed rectangular/Cartesian coordinate system, the value of $$\left( {\vec {A.} \left( {\vec B \times \vec C} \right) + 6} \right)$$ is _______.

A company is hiring to fill four managerial vacancies. The candidates are five men and three women. If every candidate is equally likely to be chosen then the probability that at least one woman will be selected is ______ (round of to 2 decimal places).

In a concentric tube counter-flow heat exchange, hot oil enters at 102°C and leaves at 65°C. Cold water enters at 25°C and leaves at 42°C. The log mean temperature difference (LMTD) is ________ °C (Round off to one decimal place).

A vector field is defined as

$$\vec f\left( {x,y,z} \right) = \frac{x}{{{{\left[ {{x^2} + {y^2} + {z^2}} \right]}^{\frac{3}{2}}}}}\hat i + \frac{y}{{{{\left[ {{x^2} + {y^2} + {z^2}} \right]}^{\frac{3}{2}}}}}\hat j + \frac{z}{{{{\left[ {{x^2} + {y^2} + {z^2}} \right]}^{\frac{3}{2}}}}}\hat k$$

where î, ĵ, k̂ are unit vectors along the axes of a right-handed rectangular/Cartesian coordinate system. The surface integral $$\smallint \smallint \vec f.d\vec S$$ (Where $$d\vec S$$ is an elemental surface area vector) evaluated over the inner and outer surfaces of a spherical shell formed by two concentric spheres with origin as the centre, and internal and external radii of 1 and 2, respectively, is

Which of the following function f(z), of the complex variable z, is NOT analytic at all the points of the complex plane?

The base of a brass bracket needs rough grinding. For this purpose, the most suitable grinding wheel grade specification is

Jofra Archer, the England fast bowler, is _____ than accurate.

Crowd funding deals with mobilisation of funds for a project from a large number of people, who would be willing to invest smaller amounts through web-based platforms in the project.
Based on the above paragraph, which of the following is correct about crowd funding?