Mock Test

1. 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 :

2. Which one of the following sets does not have a single facultative anaerobe/ aerobe ?

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

4. What is the expected melting temperature of the following PCR primer ? 5' -AATCCAGGTATTCGCGAAG-3'

5. Consider the following set function µ on a σ-field :

µ(A)  =  0  if  A  is  empty

= 1 if A is non-empty and finite

= ∞ if A is infinite Then,

6. Saffron is obtained from :

7. Protein separation in isoelectric focusing is based on:

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

9. Which of the following set is correct in terms of concentration of urine ?

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

1. Consider a single operator equation L = IW representing the relation between angular momentum vector and angular velocity :

2. In a simple linear regression analysis the fitted line using least squares theory will :

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

4. Which of the following is a quadratic residue modulo  43  ?

5. Which of the following rings is not noetherian ?

6. Let ф : G → G’ be a surjective group Then :

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

8. 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 ?

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

10. 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 :

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

2. 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 ?

3. The entropy of black-body radiation

is  given  by  S  =   4 σV1/4U3/4  where

3

σ is a constant V is the volume and U is internal energy of the system.

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

7. The period of oscillation of the plane of Foucault’s  pendulum  is  : (ф is the  latitude)

8. The wavelength  of  10  MeV  proton

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

9. Nuclear forces  are  :

10. The Debye temperature of diamond is 2230 K. The molar heat capacity of diamond at 10 K is :

(R  =  8.314  Jmol–1K–1)

1. Total number of Bravais lattices, point groups and space groups in crystals are:

2. Carbon monoxide (CO) is isoelectronic with :

3. The protons in acetone molecule appeared in an NMR spectrum recorded on a 60 MHz
instrument at 120 Hz. At what frequency would it appear if it were recorded on
400 MHz instrument?

4. The reaction of Hexa - 1, 3, 5 – triene to give cyclohexa – 1, 3 – diene is an example of

5. The X-band EPR spectra of phenyl radical will exhibit.................lines

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

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

8. Which of the following is not reducing sugar ?

9. Which of the following is not a characteristic of chemisorptions?

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