Students of a school are divided into 4 groups. What is the probability that three friends get into the same group?

• $\frac{3}{4}$

• $\frac{1}{64}$

• $\frac{1}{16}$

• $\frac{1}{3}$

A fruit vendor buys 120 Shimla apples at 4 for Rs. 100, and 120 Golden apples at 6 for Rs. 100. She decides to mix them and sell at 10 for RS. 200. She will make

• no profit, no loss

• a loss of 4%

• a gain of 4%

• a loss of 10%

183.

4⁰ + 4² + 4^-2 + 4^1/2 + 4^-1/2 =

• 4⁰

• $4^{2\frac{1}{2}} + 4^{-2\frac{1}{2}}$

• $19\frac{9}{16}$

• $22\frac{9}{16}$

In an enclosure there were both crows and cows. If there were 30 heads and 100 legs, what fraction of them are crows?

• 1/3

• 1/ 4

• 1/ 10

• 3/ 10

A weed is assumed to be dispersed randomly in a meadow. What statistical distribution will describe the dispersion correctly?

• Binomial

• Negative Binomial

• Poisson

• Normal

Co-localization of two fluorescently labeled proteins in an organelle in cells is usually visualized by

• interference-contrast microscopy

• scanning electron microscopy

• confocal microscopy

• Atomic force microscopy

Using FRAP (Fluorescence Recovery After Photo-bleaching) techniques, diffusion coefficient of three integral membranes proteins M₁ M₂ and M₃ in a kidney cell is calculated as J μm/s, 0.05 μm/s and 0.005 μm/s, respectively. Considering fluid-mosaic nature of biological membrane and relationship of structural organization of integral protein with diffusion coefficient, which protein(s) will have highest number of integral membrane domain?

• M₂ and M₃

• M₂ only

• M₃ only

• M₁ and M₃

In a cell free extract containing DNA polymerase I, Mg²⁺, dATP, dGTP, dCTP and dTTP (³H), the following DNA molecules were added:

a. Single stranded closed circular DNA molecule containing 824 nucleotides.

b. Single stranded closed circular DNA molecule having 1578 nucleotides base paired with a linear single stranded DNA molecule of 824 nucleotides having a free-3'-OH griup.

c. Double stranded linear DNA molecule containing 1578 nucleotides having free-3-'OH group at both ends.

d. Double stranded closed circular DNA molecule having824 nucleotides.

The rate of DNA synthesis was measure by incorporation of ³H thymidine in the DNA molecule and expressed as the percentage of DNA synthesis relative to total DNA input.

Which one of the following graphs represents the correct result?

During heat shock, mammalian cells shut down global protein synthesis while inducing heat shock proteins (Hsps). The possible molecular regulation(s) that could explain the phenomenon are:

A. mRNA of all proteins, except those of Hsps, undergoes degradation during heat shock.

B. Cap-dependent translation of most mRNAs is affected during heat shock due to denaturation of cap binding protein, eIF-4E.

C. Translation initiation of Hsp mRNAs takes place through their internal ribosome entry sites (IRES).

D. Hsp mRNAs are abundant during heat shock and thus they compete out other mRNAs for ribosome binding and translation.

Which of the following sets is correct?

• A and D

• B and C

• C and D

• A and D

Bacteriophage λ is a temperate bacteriophage and has two modes in its life cycle, lysogenic and lytic. Several genes are involved in these two processes like N, cI, cII, cIII, Q, int, xis, etc.

Which one of the following diagrams represents the control mechanism correctly?