You wish to localize a given gene product at subcellular levels following immunofluorcence staining. Routine microscopy could not resolve whether the gene product is localized inside the nucleus or on the nuclear membrane. Which of the following will resolve this unambiguously?

A. Sectioning of cell followed by phase contrast microscopy.

B. A simulation of 3D picture following confocal microscopy.

C. Optical sectioning and observing each section.

D. Freeze fracturing followed by Scanning Electron Microscopy.

• A and B

• B and C

• C and D

• A and C

The map given below shows a meandering river following a semi-circular path, along which two villages are located at A and B. The distance between A and B along the east-west direction in the map is 7 cm. What is the length of the river between A and B in the ground?

• 1.1 km

• 3.5 km

• 5.5 km

• 11.0 km

Consider the following equation:

x² + 4y² + 9z² = 14x + 28y + 42z + 147

where x, y and z are real numbers. Then the value of x + 2y + 3z is

• 7

• 14

• 21

• Not unique

Find the missing letter:

• H

• L

• Z

• Y

A student observes the movement of four snails and plots the graphs of distance moved as a function of time as given in figures (A), (B), (C) and (D).

Which of the following is NOT correct?

• Graph A

• Graph B

• Graph C

• Graph D

Suppose a person A is at the North-East corner of a square (see the figure below). From that point he moves along the diagonal and after covering 1/3^rd portion of the diagonal, he goes to his left and after sometime he stops, rotates 90° clockwise and moves straight. After a few minutes he stops, rotates 180° anticlockwise. Towards which direction he is facing now?

• North-East   

• North-West

• South-East

• South-West

In a sequence {a_n} every term is equal to the sum of all its previous terms.

If a₀ = 3, then lim_{n → ∞} a_n+1/ a_n is

• 3

• 2

• 1

• E

A rectangular sheet ABCD is folded in such a way that vertex A meets vertex C, thereby forming a line PQ. Assuming AB = 3 and BC = 4, find PQ. Note that AP = PC and AQ = QC.

• 13/ 4

• 15/ 4

• 17/ 4

• 19/ 4

The area of the shaded region in cm² is

• $\left(\mathrm{\pi } - \sqrt{2}\right)$

• ($\mathrm{\pi }$ - 2)

• $\left(\frac{\mathrm{\pi }}{4} - \frac{\sqrt{2}}{2}\right)$

• $\left(\mathrm{\pi } + 2\right)$

The angles of a right-angled triangle shaped garden are in the arithmetic progression and the smallest side is 10.00 m. The total length of the fencing of the garden in m is:

• 60.00

• 47.32

• 12.68

• 22.68