Previous Year Questions

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QUESTION ID:1

What is the ratio of the surface area of a cube with side 1 cm to the total surface area of the cubes formed by breaking the original cube into identical cubes of side 1 mm?

QUESTION ID:2

The mean of a set of 10 numbers is M. By combining with it a second set of M numbers, the mean of the combined set becomes 10. What is the sum of the second set of numbers?

QUESTION ID:3

How many non-square rectangles are there in the following figure, consisting of 7 squares?

QUESTION ID:4

A bag contains 8 red balls, 10 blue balls, 17 green balls. What is the minimum number of balls that needs to be taken out from the bag to ensure getting at least one ball of each colour?

QUESTION ID:5

In a college admission where applicants have to choose only one subject 1/4th of the applicants opted for Biology, 1/6th  for Chemistry, 1/8th for Physics and 1/12th for Maths. 18 applicants did not opt for any of the above four subjects. How many applicants were there?

QUESTION ID:6

In a race five drivers were in the following situation. M was following V, R was just ahead of T, and K was the only one between T and V. Who was in the second place at that instant?

QUESTION ID:7

Karan's house is 20 m to the east of Rahul's house. Mehul's house is 25 m to the North-East of Rahul's house. With respect to Mehul's house in which direction is Karan's house?

QUESTION ID:8

Which of the following 7-digit numbers CANNOT be perfect squares?
A = 45xyz26, B= 2xyz175, C = xyz3310

QUESTION ID:9

Given that K! = 1 x 2 x 3 x...x K, which is the largest among the following numbers?

QUESTION ID:10

Which is the curve in the figure whose points satisfy the equation y = const xe^x ?

QUESTION ID:11

Of three children, Uma plays all three of cricket, football and hockey. Iqbal plays cricket but not football, and Tarun plays hockey but neither football nor cricket. The number of games played by at least two of the children is

QUESTION ID:12

A bag contains 8 red balls, 10 blue balls, 17 green balls. What is the minimum number of balls that needs to be taken out from the bag to ensure getting at least one ball of each colour?

QUESTION ID:13

In a very old, stable forest, a particular species of plants grows to a maximum height of 3 m. In a large survey, it is found that 30% of the plants have heights less than 1 m, and 50% have heights more than 2 m. From these observations we can say that the height of the plants increases

QUESTION ID:14

The result of a survey to find the most preferred leader among A, B, C is shown in the table.
First, second and third preferences are given weights 3, 2, 1, respectively. Statistically,
which of the following can be said to represent the preferences of the voters?

QUESTION ID:15

An ice cube of volume 10 cm2 is floating over a glass of water of 10 cm2 cross-section area and 10 cm height. The level of the water is exactly at the brim of the glass. Given that the density of ice is 10% less than that of water, what will be the situation when ice melts completely?

QUESTION ID:16

A four-wheeled cart is going around a circular track. Which of the following statements is correct, if the four wheels are free to rotate independent of each other, and the cart negotiates the track stably?

QUESTION ID:17

A two-digit number is such that if the digit 4 is placed to its right, its value would increase by 490. Find the original number.

QUESTION ID:18

A cyclist covers a certain distance at a constant speed. If a jogger covers half the distance in double the time as the cyclist, the ratio of the speed of the jogger to that of the cyclist is

QUESTION ID:19

Based on the bar chart shown here, which of the following inferences is correct?

QUESTION ID:20

What day of the week will it be 61 days from a Friday?

QUESTION ID:21

Which one of the following graphs best describes the dependence of free energy change (∆G) of ATP hydrolysis on Mg2+ concentration? 


QUESTION ID:22

Which one of the following statements is true regarding amino acids?

QUESTION ID:23

Match the following vitamins with the corresponding pathological conditions arising from their deficiencies.


Vitamin

Disease

(i) A

(a) Pernicious anaemia

(ii) B12

(b) Subdermal haemorrhaging

(iii) D

(c) Night blindness

(iv) K

(d) Rickets

QUESTION ID:24

The interaction energy between two opposite charges separated by 3Å in vacuum is -500 kJmol- The interaction energy between these two charges in water will be closest

QUESTION ID:25

For bacterial growth, a single cell elongates in size before it divides into two, in a process called binary fission. During cell growth,

QUESTION ID:26

Phosphoenol pyruvate : sugar phosphotransferase system (PTS) transports a variety of sugars into bacteria. In E. coli, PTS consists of EI, EII (EIIA, EIB, and EIIC), and Hpr. During this process the sugar molecule is phosphorylated by direct transfer of phosphate group from

QUESTION ID:27

During the exponential phase of growth, if No, Nt, and n define the initial population number, population number at time t, and the number of generations in time t, respectively, then

QUESTION ID:28

In a form of stress response, bacteria synthesize a group of proteins called stress proteins (or heat shock proteins) such as DnaK, DnaJ, GroEL, GroES, and GrpE. DnaK is an ATP binding protein, which attaches to the newly synthesized polypeptide in conjunction with DnaJ. Which one of the following

statements correctly states a step in the subsequent process of protein folding?

QUESTION ID:29

Which one of the following statements related to transcription and processing of mRNA is INCORRECT?

QUESTION ID:30

Which one of the following regulatory proteins can act as a positive and negative regulator on binding to the same DNA elements?

QUESTION ID:31

Readers of histone modifications include:

QUESTION ID:32

The amino acid side chains of the four histones in the nucleosome are subjected to remarkable variety of post-translation modifications such as phosphorylation, acetylation and methylation. Which one of the following post-translational marks on histone tails is usually associated with transcriptional repression?

QUESTION ID:33

Which one of the following is not a G-protein coupled receptor?

QUESTION ID:34

Two strains of mice which are genetically identical except for a single genetic locus or region are said to be:

QUESTION ID:35

Which one of the following lipid-soluble hormones can interact with a cell surface receptor?

QUESTION ID:36

In what respect does the genome of slow-acting retroviruses differ from those of transducing viruses?

QUESTION ID:37

Centrolecithal eggs show

QUESTION ID:38

The cells of inner cell mass of a blastocyst stage mammalian embryo are

QUESTION ID:39

Some statements regarding the process of autophagy are given below:

A. Autophagy occurs when cells contain aggregated proteins

B. Autophagosomes fuse with any organelles

C. Autophagosome is a single membrane structure

D. Autophagosomes fuse with lysosomes to form autophagolysosomes

Which one of the following combination of the above statements is correct?

QUESTION ID:40

Which of the following factors is known to be involved in postponing programmed cell death in cereal aleurone until endosperm mobilization is complete?

QUESTION ID:41

Which one of the following reactions takes place during the reduction phase of the Calvin- Benson cycle?

QUESTION ID:42

Which one of the following parts of root is involved in perceiving gravity?

QUESTION ID:43

While screening an EMS-mutagenized population of a plant, a researcher identified a mutant with reduced gibberellic acid sensitivity. Which one of the following proteins is most likely to be defective in this mutant?

QUESTION ID:44

Vascular wilts are wide spread and destructive plant diseases. The symptoms of this disease are primarily caused by the clogging of

QUESTION ID:45

Which one of the following is NOT true in the process of acclimatization to high altitude?

QUESTION ID:46

The sodium-independent iodide / chloride transporter is named as

QUESTION ID:47

Which one of the following synaptic vesicle proteins is involved in tethering of the vesicle to the cytoskeletal system in the nerve terminus?

QUESTION ID:48

Which one of the following hormones is responsible for mobilizing calcium from the bone and increasing urinary excretion of phosphate?

QUESTION ID:49

In summer squash, white colour fruit (W) is dominant over yellow colour (w) and disc-shaped phenotype (D) is dominant over sphere-shaped phenotype (d). Determine the genotype of the parents if the cross between white, sphere crossed with white, sphere gives 1⁄4 white, sphere and 14 yellow, sphere.

QUESTION ID:50

What is the probability of getting a sum of 9 from simultaneously throwing two dice?

QUESTION ID:51

In context of DNA methylation, which one of the following statements is FALSE?

QUESTION ID:52

Interacting genes which are involved in producing continuous variation in phenotypes in a population are known as/constitute

QUESTION ID:53

Which one of the following plants has this combination of key plant traits: sporophyte dominant in the lifecycle, vascular tissue, lack of seeds

QUESTION ID:54

Which one of the following plants has a bisporic, 8- nucleate, bipolar embryo sac development?

QUESTION ID:55

Which one of the following show complete metamorphosis in all three orders?

QUESTION ID:56

Cnidarians are

QUESTION ID:57

In a lake, reducing the population of a fish which feeds on plankton was followed by a decline in the rate of primary productivity. This is consistent with which one of the following hypotheses regarding the regulation of primary productivity?

QUESTION ID:58

Which one of the following was recently reported to be the first mammal to have become extinct as a result of climate change?

QUESTION ID:59

The ratio of variance in male mating success (Vm) to variance in female mating success (Vf) is strongly male biased (Vm>Vf) in species P, strongly female

biased in species Q (Vf>Vm) and similar in species R (Vm=Vf). All else being equal, which one of the following matches between species and mating systems is most likely?

QUESTION ID:60

An interaction where the actor and the recipient both suffer a cost is referred to as

QUESTION ID:61

The frequency of homozygotes in a diploid population is 0.68. Assuming that the population is in Hardy-Weinberg equilibrium, the frequencies of the two alleles are

QUESTION ID:62

Which one of the following statements CANNOT be included while defining the fermentation process?

QUESTION ID:63

Which one of the following does NOT use RNA- sequencing?

QUESTION ID:64

Agrobacterium tumefaciens is frequently used as a vector to create transgenic plants. Under laboratory conditions Agrobacterium - mediated plant transformation does not require

QUESTION ID:65

The T-DNA region of the Ti plasmid of Agrobacterium tumefaciens harbours two genes: X and Y. Mutation of gene 'X' produces a rooty tumour while mutation

of gene 'Y' produces shoots in the tumor. Based on the above information, which one of the following statements is correct?

QUESTION ID:66

In electron microscopy, to detect specific macromolecule or structure such as spindle pole body (SPB), the frequently used procedure is to couple secondary antibody with

QUESTION ID:67

A researcher samples n individuals randomly from a population of blackbuck and identifies their sex. The number of females in the sample follows

QUESTION ID:68

If you inject a mouse with radioactive material of current activity of 256 Bq, what will be the activity after completion of 6 half-lives?

QUESTION ID:69

Which one of the following statements related to molecular cloning procedures is INCORRECT?

QUESTION ID:70

In a neuron, proteins and membranes are primarily synthesized in the cell body. These materials must be transported down the axon to the synaptic region using microtubules in an anterograde fashion. Such axonal transport is directed by

QUESTION ID:71

A form and Z form of double stranded DNA differ in the handedness of their helices, nucleotide sequences, and configuration of base to sugar.

Based on these properties, which one of the following statements defines a correct combination for A and Z forms of DNA?

QUESTION ID:72

Given below is the [P] vs time plot of an enzymatic reaction carried out by the enzyme X


Which one of the following statements is the correct interpretation of the data?

QUESTION ID:73

Given below are some physicochemical properties (column X) and their manifestations (column Y).


X

Y

A. Pauling electronegativity

(i) Charge separation

B. Isolated π-orbital overlap

(ii) Solvation of atoms

C. Aromaticity

(iii) Restricted rotation

D. Dielectric constant

(iv) Planarity of molecules

Which one of the following is the most appropriate match?

QUESTION ID:74

The following observations are made on a 30-residue polypeptide

(a) Unordered structure is observed in water but a helical conformation is observed in medium of low dielectric constant.

(b) The peptide is resistant to degradation by proteases.

(c) Red blood cells are lysed by the peptide.

(d) β-mercaptoethanol has no effect on peptide structure

Which of the following statements can be correctly attributed to the above observations?

QUESTION ID:75

The following statements are made

A. B form of DNA has –10 base pairs/turn and A form of DNA has -2.3Ả helix rise per base pair

B. Both the A and B form of DNA have wider major groove and narrow minor groove

C. The crystalline nature of cellulose is brought about by α(1-4)linkage between the glucose subunits.

D. The double bonds in natural lipids are always cis, which provides fluidity to the plasma membrane.


Which of the following combinations represent the correct statements?

QUESTION ID:76

Analysis of a homotetrameric protein and a double stranded DNA (that had been incubated in standard buffer) on native gels revealed that they migrated true to their physical states (tetrameric nature of the protein and double stranded nature of the DNA). Following hypotheses were made for the effect of adding high salt to the incubation mix and subsequent analysis on native gels.

A. The protein would migrate as a homotetramer and DNA in double stranded form.

B. The protein would migrate as a monomer but DNA in double stranded form.

C. The protein would migrate as a homotetramer but the DNA in single stranded form.

D. The protein would migrate as a monomer and the DNA in single stranded form.

Which of the following combination of hypotheses is most likely?

QUESTION ID:77

The nucleosome is the fundamental subunit of chromatin in eukaryotes. Following statements are made about nucleosome:

A Generally, a typical nucleosome contains -200bp of DNA and two copies of each histone (H2A, H2B,H3 and H4)

В. 146 bp length of DNA per nucleosome core particle is strictly maintained across the organisms

C. The histone octamers are not conserved during/after replication, however, H32-H42 tetramers are.

D. Variants have been identified for all core histones except histone H3

E. While wrapping around the core histones, the structure of DNA is altered at the middle of the nucleosome core particle and exhibits increased number of base pairs per turn

Which one of the following combination of statements is most appropriate?

QUESTION ID:78

During cell cycle, entry in the S-phase is tightly regulated. This is possible because:

A. APC/C promotes ubiquitination of S-phase cyclins and mitotic cyclins, marking them for proteolyses at the mitotic exit.

B. Cyclin B1 helps in the activation of S-phase CDKs only in late G1.

C. As mitotic CDK activity declines in late mitosis, cdc14 phosphatase activates APC/C by dephosphorylating Cdh1, thus promoting formation of APC/Ccdh1

D. Securin keeps S-phase cyclins in inactive state till late G1.

Which one of the options represents all correct statements?

QUESTION ID:79

Thousands of proteins that are synthesized in the cytoplasm are imported into the nucleus through the nuclear pore complex (NPC) every minute. These proteins contain Nuclear Localization Signal (NLS) that direct their selective transport into the nucleus. This nuclear import requires

A. A small monomeric G-protein Ran.

B. A nuclear transport receptor that interacts with the NLS on a cargo protein.

C. A GTPase activating protein (GAP) bound to the chromatin tethered to the nuclear membrane

D. A Guanine Exchange Factor (GEF) bound to the chromatin inside the nucleus.

Which one of the following options represents all correct statements?

QUESTION ID:80

Listeria is a food-borne pathogen that causes mild gastro-intestinal symptoms. To move from one host-cell to another, it polymerizes actin into a comet tail like structure. Listeria can assemble host-cell actin at its rear end because:

A. Listeria has on its surface a protein called Act A

B. Listeria can activate Arp 2/3 complex

C. Listeria has on its surface γ-tubulin

D. Listeria has on its surface myosin II motor

Which one of the following options represents all correct statements?

QUESTION ID:81

The membrane phospholipid structures in bacteria and archaea differ. Which one of the following correctly states the differences between the two?

QUESTION ID:82

Deletion analysis of a promoter region of a gene was carried out to identify the regulatory elements in it. In the figure below, the filled boxes denote the areas of deletion and the observed activities (in arbitrary units) of the promoter are as shown.