List of practice Questions

In an \(\alpha\)-helix hydrogen bonds are present
The major component of bee wax is
Which of the following is not true about the following?
Which of the following has the lowest melting point?
Which of the following is the precursor of testosterone?
Linalool is a
Cellulose is a polymer of
Ceramides are
Identify the non-polar aliphatic amino acid
The most abundant naturally occurring non-essential amino acid present in human body is
____ is involved in vitamin A metabolism
The chemical formula of oleic acid is
Which among these is an index organism to find the efficacy of pasteurization is
Which of the following is true about the myoglobin?
Which of the following is true about the rancidity?
The disease pellagra is due to a deficiency of
Rhombic plate like osazones are formed by
Enantiomers are
Zeaxanthin is a

A, B, C, D are square matrices such that A + B is symmetric, A - B is skew-symmetric, and D is the transpose of C.

If

\[ A = \begin{bmatrix} -1 & 2 & 3 \\ 4 & 3 & -2 \\ 3 & -4 & 5 \end{bmatrix} \]

and

\[ C = \begin{bmatrix} 0 & 1 & -2 \\ 2 & -1 & 0 \\ 0 & 2 & 1 \end{bmatrix} \]

then the matrix \( B + D \) is:

An intermediate shaft of a gearbox, supporting two spur gears A and B and mounted between two bearings C1 and C2, is shown in the below figure. The pitch circle diameters of gears A and B are 500 and 250 mm respectively. The shaft is made of alloy steel 20MnCr5. (\( S_{ut} = 620 \) and \( S_{yt} = 480 \) N/mm\(^2\)). The factors \( k_b \) and \( k_t \) of the ASME code are 2 and 1.5 respectively. The gears are keyed to the shaft. Determine the shaft diameter using the ASME code. 
Intermediate shaft of a gearbox
If the expression \( 7 + 6x - 3x^2 \) attains its extreme value \( \beta \) at \( x = \alpha \), then the sum of the squares of the roots of the equation \( x^2 + ax - \beta = 0 \) is:
If \(α,β,γ\) are the roots of \(4x^3-6x^2+7x+3=0\), then the value of \(αβ+βγ+γα\) is

A steel deck plate of a tanker is supported by two longitudinal stiffeners as shown in the figure. The width of the plate is \( a \) and its length is 5 times the width. Assume that the long edge is simply supported, and the short edge is free. The plate is loaded by a distributed pressure, \( p = p_0 \sin\left(\frac{\pi y}{a}\right) \), where \( p_0 \) is the pressure at \( y = a/2 \). The flexural rigidity of the plate is \( D \). The plate equation is given by 

Mr. X deposits ₹65,000 in a term deposit for 5 years with the Post Office to avail tax deduction under Section 80C. Assuming Mr. X does not opt for the concessional tax regime under Section 115BAC. What is the correct option?