List of practice Questions

Assume that there is no compression of roving during winding and each coil of a layer is placed directly over the coil of the previous layer. A full roving bobbin consisting of 50 layers of roving is wound on an empty bobbin of 60 mm diameter. If the diameter of the roving is 1 mm, then the diameter (mm) of the full bobbin (in integer) is ________________.
A yarn is unravelled from a woven fabric specimen of 1 m $\times$ 1 m size. If the length of the straightened yarn is 1.1 m, then the crimp percentage (in integer) is ________________.
In a projectile loom, the energy stored in a torsion rod just before picking is proportional to \( r^n \). If \( r \) is the radius of the torsion rod, then the value of \( n \) (in integer) is ________________.
Cusick drape test on a fabric specimen results in a drape coefficient of 0.7. If the total mass of the paper ring is 3.0 g, then the mass (g) of the paper with shaded area (correct up to 1 decimal place) is ________________.
If moisture regain of polyester and cotton is 0.4 % and 8.5 %, respectively, then moisture regain (%) of 70:30 polyester-cotton blend (correct up to 2 decimal places) is ________________.
Direct measurement of degree of thickening (\( \theta \)) of cotton fibre is carried out using
A relatively flat middle zone in a comb sorter diagram indicates:
Scouring and cold mercerisation of cotton are carried out by treatment with aqueous sodium hydroxide. The process parameters that differ in the two processes are:
Woven fabrics can be dyed in open width form in
The determinant of a \( 3 \times 3 \) matrix A is 30. If 2 and 3 are two Eigenvalues of A, then the third Eigenvalue of A (in integer) is ________________.
A fair coin is tossed five times. The probability of obtaining at most two “HEAD” (correct up to 1 decimal place) is ________________.
Cotton fibre has maximum amount of cellulose in
High extensibility of wool fibre is due to:
In a comber, the component that rotates both in the forward and backward directions is:
Yarn that has helically twisted fibres at the core and belts/wrappers on the surface is
The ingredient that is NOT used in sizing formulations is
The machine that uses ‘Horn gears’ is
The number of solution(s) of the system of linear equations
\[ x + y + z = 0
x - y + z = 0
x + 2y - z = 0 \]
Find the value of the following limit:
\[ \lim_{x \to 0} \frac{e^{x} - 1}{x^2} \]
An integrating factor of the differential equation \[ x \, dy + (1 - y) \, dx = 0 \] is
Writing too many things on the _____ while teaching could make the students get _____
Which one of the following is a representation (not to scale and in bold) of all values of \( x \) satisfying the inequality \( 2 - 5x \leq \frac{-6x - 5}{3} \) on the real number line?
If \( f(x) = 2 \ln(\sqrt{e^x}) \), what is the area bounded by \( f(x) \) for the interval \([0, 2]\) on the x-axis?
A person was born on the fifth Monday of February in a particular year.
Which one of the following statements is correct based on the above information?
Which one of the groups given below can be assembled to get the shape that is shown above using each piece only once without overlapping with each other? (rotation and translation operations may be used).