Mock Test

1. To achieve higher resolution in microscopy, the refractive index of the immersion oil used should be

2. Which cellular organelle is most active in apoptosis?

3. Protein separation in isoelectric focusing is based on:

4. Earliest immunoglobulin to be synthesized by a foetus is -

5. Side chains of most of the amino acids present in a native protein;

6. The complete integral of the partial differential equation f(p, q) = 0 is :

7. One of these is said to be having maximum contribution towards the loss of biodiversity over terrestrial ecosystem :

8. Species 'A: produces many seeds smaller in size, while species 'B' produces few seeds bigger in size. Selection method followed by species 'A' and 'B' is respectively :

9. Energy movement in an Ecological Energy Flow Model is

10. Acetyl CoA can be produced by the breakdown of :

1. Let B be the σ-field of subsets of R generated by  {(a,   b)|a,   b  ε   R}. Which of the  following  is  not true ?

2. Define a function f : [0, 1] → R as f (x) = x² + e^x – 2. Then  :

3. Let f : C → C be a non-constant analytic such that |f ’(z)| < f(z)| for all z ε C. Then :

4. Let z, w be two complex numbers such that z w ε R and z + w ε R. Then  :

5. Consider the  following  two  M/M/1 queueing systems where :

In Q1 : arrival rate Z, service rate µ

In Q2 : arrival rate 2Z, service rate 2µ

Let W1 and W2 be the average waiting times of an arriving customer in Q1 and Q2 respectively. Then :

6. There are four jobs J1, J2, J3, J4 that need to be processed on  two machines M1  and M2  in sequence. The processing times are given in the following table :

J1      J2       J3       J4 M₁        6         10       4         7

M2       4      8      9      2

The total processing time to complete all the  jobs  on  both  the  machines is :

7. In a certain communication system, on the average, there is 1 transmission error per 10 seconds. Suppose the distribution of errors is Poisson. The probability of at least one error in a communication of half a minute duration is :

8. Which of the following rings is not noetherian ?

9. Let v be a signed measure on (X, m). Let P be a positive set and N be a negative Then :

10. Let n  be  a  square  free  natural number. Then the quotient ring Q[X]/<X2  –  n>  is  :

1. The radius of gyration of a rigid body of mass M and moment of inertia I is :

2. Which of the following is not correct (for number of fundamental modes of vibration) ?

3. For repulsive inverse square force, the shape of the orbit is :

4. A projectile is fired with initial velocity v0 making an angle α with the horizontal The range (R) of the projectile is proportional to, (Neglect the air resistance) :

5. Which of the following gauges can measure the pressure in the  range of 10–10 to 10–3 Torr ?

6. The wavelength  of  10  MeV  proton

is nearly equal to : (1F = 10–15 meter)

7. The following particles

K+, K–,   +,   0,   –, K0

are broadly classified as :

8. A phosphorous doped silicon semi-

conductor (doping density : 1017/cm3) is heated from 100°C to 200°C. Which one of the following statements is correct ?

9. A matrix is said to be of rank zero if and only if :

10. The magnitude of magnetic vector potential at a distance r from an ideal magnetic quadrupole is proportional to :

1. The major product of dehydrobromination of 2-bromo-2-methylbutane using ethoxide ion
will be

2. The ionic strength of a solution which is 0.2 molal in CaCl2 and 0.1 molal NaCl is

3. The correct order of First Ionization energy of group 13 elements is :

4. The nuclear magnetic resonance peak of the H-atom attached to the second carbon atom
in 2-butanol will be split to give

5. The bond length of the tetrachloride's for the following Group IV elements
follows the order :

6. Number of signals observed in the 1H NMR spectrum is p-tolualdehyde is :

7. For a simple harmonic oscillator :

8. How many normal modes of vibrations are possible for nitrobenzene molecule ?

9. The SI unit of measuring radioactivity is :

10. Hydride ion (H–) is :