A researcher is investigating structural changes in a protein by following tryptophan fluorescence and by circular dichroism (CD). Fluorescence and CD spectra of a pure protein were obtained in the absence of any treatment (a), in the presence of 0.5M Urea (b), upon adding acrylamide, a quencher of tryptophan (c) and upon heating (d). The data are shown below:

Which one of the following statements is correct?

• CD is more sensitive to structural changes than fluorescence.

• Fluorescence is more sensitive to structural changes than CD.

• Both methods are equally responsive to structural changes.

• Acrylamide alters the secondary structure of the protein.

A gene encoding for protein X was cloned in an expression vector under the T7 RNA polymerase promoter and lac operator. Cells were induced by the addition of 1mM IPTG at 37°C for 6 h. Cells were lysed and fractionated into soluble bodies and cell-free supernatant by centrifugation. Protein X is present in the insoluble bodies. Which one of the following strategies would you use to express protein X in the soluble fraction (cell-free supernatant)?

• Increase the duration of induction with 1mM IPTG.

• Grow cells at lower temperatures after induction with 1mM IPTG.

• Increase the concentration of IPTG.

• Grow cells at higher temperature after induction with 1mM IPTG.

You are inserting a gene of 2kb length into a vector of 3Kb to make a GST fusion protein. Thegene is being inserted at the EcoRI site and the insert has a HindIII site 500bp downstream of the first codon. You are screening for the clone with the correct orientation by restriction digestion of the plasmid using HindIII plus BamHI (H+B) and HindIII plus PstI (H+P). The map of the relevant region of the vector is shown below:

Given below is the pattern following restriction digestion of plasmid isolated from four independent clones (A, B, C, and D).

Which of the plasmids shown above represents the clone in the correct orientation?

• A

• B

• C

• D

An ant starts at the origin and moves along the y-axis and covers a distance l. This is its first stage in its journey. Every subsequent stage requires the ant to turn right and move a distance which is half of its previous stage. What would be its coordinates at the end of its 5th stage?

• $\left(\frac{3\mathrm{l}}{8}, \frac{13\mathrm{l}}{16}\right)$

• $\left(\frac{13\mathrm{l}}{168}, \frac{3\mathrm{l}}{8}\right)$

• $\left(\frac{13\mathrm{l}}{8}, \frac{3\mathrm{l}}{16}\right)$

• $\left(\frac{3\mathrm{l}}{16}, \frac{13\mathrm{l}}{8}\right)$

In a group of siblings, there are seven sisters, and each sister has one brother. How many siblings are there in total?

• 15

• 14

• 8

• 7

406.

What is the average value of y for the range of x shown in the following plot?

• 0

• 1

• 1.5

• 2

A bread contains 40% (by volume) edible matter and the remaining space is filled with air. If the density of edible matter is 2 g/cc, what will be the bulk density of the bread (in g/cc)?

• 0.4

• 0.8

• 1.2

• 1.6

A board has 8 rows and 8 columns. A move is defined as two steps along a column followed by one step along a row or vice-versa. What is the minimum number of moves needed to go from one corner to the diagonally opposite corner?

• 5

• 6

• 7

• 9

A job interview is taking place with 21 male and 17 female candidates. Candidates are called randomly. What is the minimum number of candidates to be called to ensure that at least two males or two females have been interviewed?

• 17

• 2

• 3

• 21

The graph shows the cumulative frequency % of research scholars and the number of papers published by them. Which of the following statements is true?

• The majority of the scholars published more than 4 papers.

• 60% of the scholars published at least 2 papers.

• 80% of the scholars published at least 6 papers.

• 30% of scholars have not published any paper.