List of top Questions asked in IIT JAM BT

For an ideal gas at room temperature, choose the CORRECT representation(s) of Boyle's Law. 
(P = Pressure, V = Volume, T = Temperature) 

The curve \( y = x^4 - 4x^3 + 4x^2 - 4 \) has tangents parallel to the x-axis at the following points \( (x, y) \)

Truth table of a logic gate is given below: 
\[ \begin{array}{|c|c|c|} \hline \text{Input A} & \text{Input B} & \text{Output Y} \\ \hline 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 1 \\ 1 & 1 & X \\ \hline \end{array} \] 

The value of X in the above table is .............. 
 

Let \( A = \begin{pmatrix} \sin \theta & \cos \theta \\ \cos \theta & \sin \theta \end{pmatrix} \) and \( A + A^T - 2I = 0 \), where \( A^T \) is the transpose of \( A \) and \( I \) is the identity matrix. The value of \( \theta \) (in degrees) is ............
Which of the following is(are) auxins?
Determine the correctness or otherwise of the following Assertion [a] and the Reason [r].
Assertion [a]: lac operon is an inducible operon.
Reason [r]: lac operon is not induced when the repressor protein remains bound to operator DNA sequence.

Match the techniques in Group I with their applications in Group II for protein analysis 
     Group I                                                                                Group II 
(P) Nuclear magnetic resonance spectroscopy             (1) Proximity between specific sites 
(Q) Fluorescence resonance energy transfer                 (2) Concentration 
(R) Ultraviolet absorption spectroscopy                        (3) Size 
(S) Dynamic light scattering                                          (4) Structure 
 

Match the diseases in Group I with their causative organisms in Group II 
       Group I                                Group II 
(P) Syphilis                         (1) Shigella dysenteriae 
(Q) Bacillary dysentery       (2) Bordetella pertussis 
(R) Gas gangrene               (3) Treponema pallidum 
(S) Whooping cough         (4) Clostridium perfringens 
 

Match the type of bacterial flagella in Group I with their definitions in Group II 
         Group I                          Group II 
(P) Monotrichous           (1) Flagella only at both poles of the cell 
(Q) Peritrichous              (2) Two or more flagella at one pole of the cell 
(R) Lophotrichous          (3) Flagella distributed over the entire cell 
(S) Amphitrichous          (4) A single polar flagellum 
 

In ABO blood group testing, which one of the following is INCORRECT

Match the deficiency conditions in Group I with the corresponding vitamin in Group II 
       Group I                    Group II 
(P) Beriberi                   (1) Ascorbic acid 
(Q) Scurvy                    (2) Retinol 
(R) Birth defects           (3) Thiamine 
(S) Night blindness      (4) Folic acid 
 

The CORRECT sequence of evolution (simplest to complex) is
At a given time \( t \), velocity \( v(t) \) and acceleration \( a(t) \) of a particle undergoing simple harmonic motion are given by
\[ v(t) = -100 \sin \left( 20 t + \frac{\pi}{3} \right), \] \[ a(t) = -2000 \cos \left( 20 t + \frac{\pi}{3} \right). \] Assuming all quantities are in SI units, the amplitude of the oscillation is ............
The decimal reduction time (DRT or D value) of a bacterial culture is one minute. If a suspension of the bacterial culture contains an initial population of \( 10^6 \) cells, then the time (in minutes) required to reduce the number of bacteria to 10 by heat treatment is ............
A variable number of tandem repeats (VNTR) locus has 15 different alleles. The number of genotypes possible in a population for this VNTR is ............
The solution to the limit \( \lim_{x \to 0} \frac{2 - \sqrt{4 - x}}{x} \) is ...........
Consider two particles, each of mass 20 g; the first particle is moving with a speed of 10 m/s along a one-dimensional track in the positive x-direction and collides with the second particle at rest. Assuming that the collision is elastic, the speed (in m/s) of the first particle after the collision is ...............
The volume (in mL) required to prepare 350 mL of 1X buffer solution from a fifty times (50X) concentrated buffer stock solution is ..........
A compound microscope has its objective with linear magnification of 10. In order to achieve a final magnification of 100, the angular magnification of the eyepiece should be ..........
The generation time of E. coli is 20 minutes. If there are \( 10^6 \) E. coli present in an exponentially growing synchronous culture, then the average time (in minutes) required to obtain a final population of \( 4 \times 10^6 \) E. coli is ................
DNA and RNA are acidic in nature due to the presence of
In a typical mammalian cell, the protein content is 20 % of its net weight. If the density and volume of the cell are 1.2 g/mL and 4 × 10\(^{-9}\) mL, respectively, then the concentration (in mg/mL) of the protein is
Consider a spherical particle of mass \( m \) and radius \( r \) moving in a medium. Its velocity at any time is given by \( v = v_0 \exp\left( -\frac{6 \pi X r t}{m} \right) \), where \( v_0 \) is the initial velocity of the particle. The dimensions of \( X \) are
The common component in crustacean exoskeleton and fungal cell wall is
During El Niño,