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This post was last modified on 19 December 2019

GATE Previous Last 10 Years 2010-2020 Question Papers With Solutions And Answer Keys



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GATE 2015


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Q. 1 – Q. 25 carry one mark each.

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Q.1 A genetic locus has only two alleles in a population. The frequency of heterozygotes in that population is 0.32. Assuming Hardy-Weinberg equilibrium, the frequency (in decimal notation, not in fractions or percentage) of the rarer allele is __________

Q.2 In a population of asexual organisms that remains at a constant size, an individual is expected to have an average of __________

Q.3 Which of the following processes captures the KEY DIFFERENCE between metapopulation versus single-population approaches to study population dynamics?


(A) Births and Deaths

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(B) Life history variation


(C) Immigration and Emigration


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(D) Environmental and demographic stochasticity

Q.4 A researcher used a t-test on two samples of data and obtained the following statistics: sample t-statistic = 5.2, critical t-statistic = 2.3 (for the appropriate degrees of freedom and alpha level of 0.05). Based on this information, the researcher should conclude that


(A) p < 0.05, reject the statistical null hypothesis


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(B) p < 0.05, fail to reject the statistical null hypothesis


(C) p > 0.05, reject the statistical null hypothesis


(D) p > 0.05, fail to reject the statistical null hypothesis

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Q.5 Among forests of the following states, tree diversity (e.g., species richness per unit area) is high in:
P) Arunachal, Q) Haryana, R) Kerala, S) Punjab, T) Rajasthan.


(A) P and Q


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(B) Q and S


(C) R, S, and T


(D) P and R

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Q.6 Many agriculturally important plants belong to which of the following families?
P) Dipterocarpaceae, Q) Poaceae, R) Solanaceae, S) Verbenaceae


(A) P and Q


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(B) Q and S


(C) P and S


(D) Q and R

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Q.7 In India, Parthenium hysterophorus, Lantana camara, and Prosopis juliflora are examples of which of the following types of species?
P) Endangered species, Q) Endemic species, R) Invasive species, S) Keystone species.


(A) P only

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(B) P and Q


(C) R only


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(D) S only

Q.8 Acid rain can be attributed to which of the following factors?
P) human alteration of global S cycle
Q) human alteration of global N cycle
R) increased average global temperature

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S) natural causes such as fluctuation in sunspots
T) natural causes such as volcanism


(A) P, Q and R


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(B) P and R


(C) S and T


(D) P, Q, and T

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Q.9 Periodic glaciation at a global scale is a feature of which geological age?


(A) Cenozoic


(B) Paleozoic

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(C) Jurassic


(D) Archaean

O) C3, C4, and CAM plants

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Q.12 Which of the following processes typically does NOT contribute to increase in genetic variation?


(A) Mutation


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(B) Migration


(C) Drift


(D) Recombination

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Q.13 Maximum heterozygosity (in decimal notation, not in fractions or percentage) at a neutral locus with two alleles, given random mating, is __________

Q.14 A predator encounters a group of 10 prey and kills one of them to feed. The probability of getting killed is the same for all prey individuals. The probability that a given prey is killed by the predator is __________

Q.15 All else being equal, among isolated populations comprising of 10, 100, 500 and 1000 individuals, the impact of random genetic drift is LOWEST in the population with __________ individuals.

Q.16 If the mean of a sample is 4 units and its variance is 16 units, then its coefficient of variation (in decimal notation, not in fractions or percentage) is __________

Q.17 A scientist wants to prove that some birds line their nests with aromatic herbs to protect their chicks against insects that parasitise them. Which of the following experiments will NOT help to investigate this hypothesis?

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(A) treating the nests containing aromatic herbs with insecticides


(B) comparing insect parasite load in nests with and without aromatic herbs


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(C) comparing the effect of aromatic and non-aromatic herbs on the number of parasites


(D) examining the impact of aromatic herbs on insect parasites under laboratory conditions

Q.18 Many cranes are highly endangered and are often raised in captivity in zoos by having wild-collected eggs hatched in incubators. The hatchlings are then reared by the zoo keepers in the absence of adult cranes. In order to ensure successful reproduction of these zoo-reared cranes in the wild, which of the following should NOT occur?


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(A) Hatchlings must be fed their wild diet by the zoo keepers


(B) Hatchlings must be exposed to predators by the zoo keepers


(C) Hatchlings should imprint on the zoo keepers

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(D) Hatchlings should be trained to forage naturally in the wild by the zoo keepers

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Q.19 Acoustic signals degrade most rapidly in which of the following environments?


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(A) In a rainforest


(B) At a depth of 100 ft in the open ocean


(C) In a desert

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(D) In a Eucalyptus plantation

Q.20 A plant species X is dioecious, another plant species Y is bisexual and cross-pollinated, while a third plant species Z is bisexual and self-pollinated. All else being equal, what might be the expected pollen:ovule ratio when arranged in descending order?


(A) Y > Z> X

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(B) X > Y = Z


(C) X > Y > Z


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(D) X < Y = Z

Q.21 The nodes of Ranvier are


(A) junctions in connective tissue


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(B) myelinated junctions in nerve cells


(C) nodes in sarcolemmas


(D) non-myelinated gaps in nerve cells

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Q.22 Many agriculturally important insect pests belong to which of the following groups?
P) Coleoptera, Q) Odonata, R) Lepidoptera, S) Orthoptera, T) Chiroptera


(A) P, Q and S


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(B) S, R and T


(C) Q, S and T


(D) P, R and S

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Q.23 Plasmodesmata are found in


(A) cyanobacteria


(B) plants

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(C) invertebrates


(D) vertebrates

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Q.24 In the schematic below, the circles and triangles represent climatic zones occupied by two different biomes along gradients of precipitation and temperature. Which of the following is an accurate description of these biomes?

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Q. 26 – Q. 55 carry two marks each.

Q.26 A researcher studying the effect of urban environment on bird song finds that urban bird song is higher pitched than rural bird song. To test whether this difference has a genetic basis or is due to phenotypic plasticity, she creates four experimental treatments:


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Treatment code     Eggs collected from     Eggs hatched and chicks raised in


RR     Rural     Rural


RU     Rural     Urban

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UR     Urban     Rural


UU     Urban     Urban


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She measures the average pitch of song of adult birds reared from these four treatments and concludes that genetic differences underlie the differences in pitch. Which of the following patterns in the variation in pitch provides evidence for this conclusion?


(A) UR = UU = RR = RU


(B) UU = RU > UR = RR

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(C) RU > UR > UU = RR


(D) UR = UU > RR = RU

Q.27 In cooperatively breeding species, a single dominant female breeds while other subordinate adult females in the group rarely breed. Which of the following statements below are PROXIMATE explanations for this phenomenon?

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(P) When resources are limited, and competition for reproduction is strong, females evolve costly traits to monopolize reproduction


(Q) Intense aggression by the dominant female towards subordinate females results in chronic stress, elevated stress hormone levels, and lowered rates of conception in subordinates


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(R) When dispersal is costly, natural selection favours delayed dispersal of the young who instead help rear siblings, in return for continued residence on their natal territory


(S) Pregnant subordinate females are evicted from the group by the dominant female, and harsh conditions outside the group result in loss of body condition and increased risk of abortions


(A) P and Q

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(B) P and R


(C) Q and S


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(D) Q and R

population size


10


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20


30


40

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GATE 2015

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Q.28 The figure panels below show population growth in two species (solid circles and open circles), when they are grown alone, and when they are grown together. The interaction between these species is an example of

population size


20

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30


40

population size

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10


20


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30


40

Species A growing alone


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0 20 40 60 80 100 120


(A) mutualism


(C) competition

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time


Species B growing alone


0 20 40 60 80 100 120

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time


(B) predator-prey interaction


(D) commensalism

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Both species together


0 20 40 60 80 100 120


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time

Q.29 In male moths of a certain genus, size of antennae and sensitivity to female pheromone are under the influence of sexual selection. Species X and Species Y of moths within this genus occur together in the same geographical location. Species X naturally occurs in dense populations while Species Y naturally occurs in sparse populations. All else being equal, which of the following is most likely to be correct?


(A) Males of Species X have larger antennae and are more sensitive to female pheromone


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(B) Males of Species Y have smaller antennae and are less sensitive to female pheromone


(C) Males of Species X have smaller antennae and are less sensitive to female pheromone


(D) Males of Species Y have larger antennae and are more sensitive to female pheromone

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Q.30 Which of the following figures represents the equation y=x²-c, where c is a positive constant?


yo

y

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20


(A)

-10 -5 0     5 10

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(C)

y


(B)

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-10 -5 0     5 10


X


X

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-10 -5 0     5 10

X


5

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5

(D)


-10 -5 0     5 10

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X


Q.31 A researcher measures tail length of 1000 individuals in a bird species. In one population, mean tail length (±SD) was 15 (± 8) while it was 10 (± 2) in a second population, as depicted in the figure below. These values remain consistent across many generations. From these data, he can infer that

relative frequency


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0.00


0.05


0.10

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0.15


0.20


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T

Population I


Mean=15, SD=8


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0 5 10 15 20 25 30 35

tail length


relative frequency

0.00

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0.05


0.10


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0.15

Population II


Mean=10, SD=2


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0 5 10 15 20 25 30 35

tail length


(A) Population I is under stronger directional selection than population II


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(B) Population II is under stronger directional selection than population I


(C) Population I is under stronger stabilizing selection than population II


(D) Population II is under stronger stabilizing selection than population I

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Both species together


0 20 40 60 80 100 120


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time

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Q.32 The figure below shows how feeding rate varies with age (old/young) and with body size (small/large) in males of a deer species. Based on this figure, which of the statements below is FALSE?

feeding rate


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20


15


10

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5


0

old     young

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small     large


(A) Large old males have higher feeding rates than large young males


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(B) Large young males have higher feeding rates than small young males


(C) Regardless of size, feeding rate is higher in old males than in young males


(D) Regardless of age, feeding rate is higher in small males than in large males

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Q.33 Breeding males in a population show two alternative mating tactics: T1 and T2. These two tactics are hypothesized to be maintained by negative frequency-dependent effects on fitness. Which figure below represents negative frequency-dependence acting on the two tactics?

fitness of tactic

fitness of tactic


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(C)


(A)

frequency of tactic T1


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fitness of tactic

fitness of tactic


(D)


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(B)

frequency of tactic T1


T1


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T2

frequency of tactic T1


frequency of tactic T1


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Q.34 From an original population P of a butterfly species, two experimental populations X and Y were established. In X, males and females were maintained in standard conditions, and females were allowed to mate and lay eggs. Only eggs from females laying small clutches, i.e., S eggs or fewer, were allowed to hatch and the rest were not utilized. In Y, males and females were maintained in standard conditions and females were allowed to mate and lay eggs. From each female, S eggs were randomly selected and allowed to hatch, and the rest were not utilized. After 20 generations of these experimental conditions, relative to the original population P, and assuming that clutch size is under genetic control, we expect clutch size to be


(A) same; same     in X and     in Y


(B) reduced; same

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(C) same; reduced


(D) reduced; reduced

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Q.35 Which of the following factors contribute to INCREASING beta diversity of tree species in a typical landscape?


(P) Habitat heterogeneity


(Q) Dispersal limitation

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(R) Random mortality among trees


(S) Differences in physiological tolerance among species


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(A) Only P


(B) P and R


(C) P, Q, and S

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(D) P, Q, R, and S

Q.36 The area of a large forest is reduced by 10% due to fires. Assuming that the number of species (denoted by S) and area (denoted by A) are related by the equation S=cA², where c is a positive constant and z is a positive number less than one, the expected loss of species is


(A) 10%

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(B) more than 10%


(C) less than 10%


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(D) cannot be estimated without knowing the exact values of c and z.

Q.37 The slope of the function y = x - x² at x=1 is __________

Q.38 In which of the following four plots, showing reproductive fitness versus a trait, is the strength of selection MAXIMUM?


(A)

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(B)


5


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5


10

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15

Fitness


5

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10

Fitness


5

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0

1 2 3     4     5


0

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1     2     3     4     5


Trait


Trait

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(C)


(D)


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5

Fitness


5


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10

8


0

1     2     3     4     5

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0

1     2     3     4     5


Trait

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Trait

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GATE 2015


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Q.39 Assuming that the chance of a male or female being born is equal, the probability (in decimal notation, not in fractions or percentage) that three out of four offspring born are female is __________

Q.40 An animal starts moving from point O as shown in the diagram below. At every junction marked by a thick circle, it has an equal probability of choosing any of the paths that takes it northwards.

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A

B


C

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0


North


The probability (in decimal notation, not as fraction or percentage) that the animal will reach point B is __________

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Q.41 The Shannon index (H) for diversity is given by H = - S pi loge (pi) where pi is the proportion of species i in the total population.
For the community of species given below, the Shannon index (H) is __________


Species     Population size


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P     5


Q     10


R     20

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S     25


T     40

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Q.42 In a large forested landscape, where seed dispersal is the ONLY determinant of tree species distribution, two individual trees were randomly picked at a distance r units apart. If F(r) is the probability that the two individuals belong to the same species, which of the following figures shows how F(r) changes with r?

(A)


(B)

F(r)

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F(r)

Distance (r)


(C)

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(D)

Distance (r)


F(r)

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Distance (r)

F(r)


Distance (r)

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Q.43 Bacteria growing exponentially increase in number from 105 to 106 in two hours. The ratio of per capita growth rate at the end of two hours to the per capita growth rate at the initial time is __________

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Q.44 The figures below represent age-specific survivorship and fecundity for species X (denoted by open circles) and Y (closed circles). Based on these survivorship-fecundity relationships, which of the following can be inferred?

No. of individuals alive

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Survivorship


000-0-0-0-0-0-0-0-0-0-0-0-0-0

Age (years)

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(P) Species Y has higher rates of turnover compared to X


No. of young per female

0.000

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Age (years)


(Q) Species Y has a longer life span and delayed reproduction compared to X


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(R) Species X has steeper age-specific mortality compared to Y


(S) Species Y is more likely to colonize a site after disturbance compared to X

Fecundity


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(A) P and S


(B) Q and R


(C) P, R, and S

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(D) R and S

Q.45 Tree densities are measured in 5 plots in a study area. An index (Variance in tree density/Mean tree density) estimates whether trees are randomly distributed, clumped or spaced uniformly apart. Tree densities in these 5 sampled plots were 13, 14, 15, 16, and 17. The value of the above index for this data set is __________

Q.46 The ratio of Potential Evaporation (PET) to Precipitation (PT) is expected to be more than 1, i.e., PET/PT >1, in which of the following biomes?


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(A) Tropical rainforest


(B) Arid grassland


(C) Tundra

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(D) Taiga

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Q.47 Redox potential (Eh) indicates the capacity of atoms, ions, or molecules to donate or accept electrons (i.e., electric potential of energetic transformation during chemical reactions). For reactions involving the nitrogen cycle, Eh values are the following:


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Reaction     Eh (volts)


NO3 to N2     +0.75


NO3 to NO2     +0.42

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NO2 to NH     +0.34


N2 to NH     -0.28


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A consequence of these differences is that:


(A) N-fixation is energetically unfavourable


(B) denitrification is energetically unfavourable

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(C) both N-fixation and denitrification are energetically favourable


(D) both N-fixation and denitrification are energetically unfavourable

Q.48 A bird has the choice of four food resources with the following characteristics:

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Resource     Energy content     Energy expended in searching for and handling the resource (cal/g)


    (cal/g)


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P     20     30


Q     85     30


R     65     20

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S     90     15


Assuming that all resources are equally abundant and that the bird forages for these resources in an optimal manner, it should exhibit the following sequence of preferences for the resources


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(A) S>Q>R>P


(B) Q>S>R>P


(C) S>R>Q>P

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(D) S>R>Q=P

Q.49 A scientist conducts an experiment to test the ability of the worm Caenorhabditis elegans to find a food source using only its odour. She places only food odour in the left arm of a Y-shaped tube; there is no food odour in the right arm. She tests 50 worms individually in separate tubes. She finds that they all move into the left arm. She concludes that individual worms can find food using odour alone. However, another scientist says that the experiment is flawed. Based on the information provided above, which of the following is a valid objection?


(A) Worms could have used vision to find the food source

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(B) Worms should have also been tested with the odour placed in the right arm


(C) Worms should all have been tested together in the same tube


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(D) Worms should have been tested individually using the same tube

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Q.50 The DNA sequence -AAAAAAAAAAAA- undergoes substitutions at the rate of one change every day. Assuming that all base changes are equally probable, the MOST LIKELY composition of this 12 base pair sequence at the end of ten years will be


(A) A=0.25 T=0.25 G=0.25 C=0.25

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(B) A=0.75 T=0.15 G=0.05 C=0.05


(C) A=0.70 T=0.10 G=0.10 C=0.10


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(D) A=0.40 T=0.40 G=0.10 C=0.10

Q.51 There is a tightly-linked association between host and symbiont in obligate mutualisms; for example, between termites and their gut symbionts. The following is the phylogeny of the host species A, B, C, D and E, which harbour symbionts Sa, Sb, Sc, Sd and Se.


?


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A

B


D

E

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Assuming obligate mutualism between these hosts and symbionts, the phylogeny of the symbionts is best represented by which of the following trees?


A


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m

(B)


Sa


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Sb

Sc


Sd


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Se

(C)


(D)


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Sa


Sb

Sb


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Sd

Sd


Se


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Se


Sc

Sc


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Q.52 Anita wants to study the effect of Compound X on leaf expansion rates in 100 individuals of a plant species S. Which of the following constitute suitable control(s) for this experiment?


(P) Simultaneously measure leaf expansion rates in a second set of 100 plants of species S which has not been treated with Compound X.


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(Q) Measure leaf expansion rates in a second set of 100 plants of species S which has been treated with Compound X for a longer duration.


(R) Measure leaf expansion rates in a set of 100 plants belonging to a different but closely related plant species treated with Compound X.


(S) Measure leaf expansion rates for a second set of 100 plants of species S treated with Compound X to test for repeatability of results.

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(A) P only


(B) Q and S


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(C) R only


(D) P and S

Q.53 Three sanctuaries X, Y and Z have the same number of mammal species but different species compositions. The list of mammals reported from these sanctuaries is given below.


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Sanctuary X: Langur, tiger, spotted deer, leopard, bison, wild dog, elephant


Sanctuary Y: Lion, spotted deer, leopard, hyena, langur, blackbuck, wild boar


Sanctuary Z: Gibbon, tiger, spotted deer, leopard, bison, rhinoceros, elephant

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Which of the following options best describes the order-level diversity in these sanctuaries?


(A) X=Y=Z


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(B) X>Y>Z


(C) Y<X<Z


(D) X=Y<Z

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Q.54 The evolutionary relationship between five species of birds (A to E) is shown below.


B

C


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D


E

A


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Species C, D, and E have a crest while the rest do not. Given this phylogeny and the principle of parsimony (i.e., involving the fewest number of evolutionary steps), which of the following statements reflects the evolution of the crest in this group?


(A) Crests evolved multiple times in this group


(B) The common ancestor of the five species did not have a crest

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(C) Species B and A lost their crests in the course of evolution


(D) The presence of a crest in species C, D and E is due to convergence

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Firstranker's choice


GATE 2015


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Q.55 Parental care may be provided by only males, only females, or by both parents. Comparing parental care between mammals, birds and fishes, male-only care is most common in __________, and biparental care is most common in __________; female-only


care is most common in __________


(A) birds; fishes; mammals

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(B) fishes; birds; mammals


(C) birds; mammals; fishes


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(D) fishes; mammals; birds

END OF THE QUESTION PAPER



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