List of practice Questions

Choose the word that is closest in meaning to the word "PRECISE" from the options provided:

Find the word with a similar meaning to "BENEVOLENT" in the list below:

Find the word with a similar meaning to "EXUBERANT" from the options below:

Find the correctly spelled word:

Identify the misspelled word in the list below:

Identify the correctly spelled word:

A winder operates at 750 m/min with 93% efficiency. The time (in minutes) taken for the winder to wind 1.2 kg of 20 tex yarn is approximately _______.

If a thermodynamical system is adiabatically isolated and experiences a change in volume under an externally applied constant pressure, then the thermodynamical potential minimized at equilibrium is the

The period of oscillation of system shown below is \(π\sqrt{\bigg(\frac{\alpha M}{5K}\bigg)}\) then \(\alpha\) is

The plane frame shown in the figure has fixed support at joint A, hinge support at joint F, and roller support at joint I. In the figure, A to I indicate joints of the frame.

If the axial deformations are neglected, the degree of kinematic indeterminacy is ____ . (in integer).

A hypothetical multimedia filter, consisting of anthracite particles (specific gravity: 1.50), silica sand (specific gravity: 2.60), and ilmenite sand (specific gravity: 4.20), is to be designed for treating water/wastewater. After backwashing, the particles should settle forming three layers: coarse anthracite particles at the top of the bed, silica sand in the middle, and small ilmenite sand particles at the bottom of the bed.
Assume
(i) Slow discrete settling (Stoke's law is applicable)
(ii) All particles are spherical
(iii) Diameter of silica sand particles is 0.20 mm
The CORRECT option fulfilling the diameter requirements for this filter media is

A 30 cm diameter well fully penetrates an unconfined aquifer of saturated thickness 20 m with hydraulic conductivity of 10 m/day. Under the steady pumping rate for a long time, the drawdowns in two observation wells located at 10 m and 100 m from the pumping well are 5 m and 1 m, respectively. The corresponding pumping rate (in m³/day) from the well is _____ . (rounded off to 2 decimal places)

Two parallel first-order liquid phase reactions \( A \xrightarrow{k_1} B \) and \( A \xrightarrow{k_2} C \) are carried out in a well-mixed isothermal batch reactor. The initial concentration of A in the reactor is \( 1 \) kmol m\(^{-3}\), while that of B and C is zero. After 2 hours, the concentration of A reduces to half its initial value, and the concentration of B is twice that of C. The rate constants \( k_1 \) and \( k_2 \), in h\(^{-1}\), are, respectively,

The estimated results of a Probit model is given in the table below, where Y is a binary variable taking the value either 0 or 1, and X is an integer. The probability that Y = 1 when X = 30 is ________ (rounded off to two decimal places).

Variable	Coefficient	Standard Error	Z-Statistic	Probability
Constant	-0.064	0.399	-0.161	0.871
X	0.029	0.010	2.916	0.003

Let \( p(\bar{p}, \bar{q}, t) \) be the phase space density of an ensemble of a system. The Hamiltonian of the system is \( H(p, q) \). If \( \{A, B\} \) denotes the Poisson bracket of \( A \) and \( B \), then \( \frac{dp}{dt} = 0 \) implies

Which one of the following metabolic intermediates is common to glycolysis, nucleotide synthesis and glycogen synthesis?

The approximate value of the integral \( \int_{2}^{3} \frac{dx}{x} \) using Simpson's rule with \( h = 0.5 \) is

Consider the following ¹H-NMR (400 MHz, DMSO-d₆) data of a compound :
δ in ppm: 3.85 (s, 6H), 6.73 (t, J = 2.2 Hz, 1H), 7.1 (d, J = 2.2 Hz, 2H), and 13.05 (brs, 1H).
The compound is

Consider a Keynesian Cross Model with following features,
Consumption Function: C = C0 + b(Y-T) 
Tax Function: T = T0 + tY 
Income Identity: Y = C + I0 + G0 
Where, C = Consumption; Y = Real Income; T = Tax; I = Investment; 
G = Government Expenditure; b = Parameter; t = Tax Rate 
(The subscript 0 (zero) indicates that the concerned variable is autonomous) 
If b = 0.7 and t = 0.2, value of the Keynesian multiplier is ________ (round off to 2 decimal places).

GDP_F = Gross Domestic Product at Factor Cost; GDP_M = Gross Domestic Product at Market Price; NNP_F= Net National Product at Factor Cost; C = Consumption; I = Investment; G = Government Expenditure; X = Export; M = Import; T = Tax; S = Saving; D = Depreciation; NIA = Net Income from Abroad
Which of the following expressions is/are CORRECT?