Previous Year Questions

QUESTION ID:2

Starting with a single triangle, every iteration adds smaller triangles at each of the vertices inside the previous triangle as shown in the figure. The number of vertices in the next iteration is:

QUESTION ID:3

To frame a portrait photo of 50 cm x 30 cm size, a 3 cm wide wooden strip is to be fixed all around the photo such that the inner periphery of the wooden strip touches the boundary of the photo. What is the total length of the wooden strip required?

QUESTION ID:4

How many 4-digit numbers can be generated from the digits 1, 2, 3, 4, 5, 6 and 7 such that no digit appears more than once, and '123' always appear as a string? 

QUESTION ID:5

(2025)²⁰²⁵ - (2025)²⁰²⁴ is NOT divisible by

QUESTION ID:6

The bubble plot shows the relationship of Crop yield with precipitation and temperature. The size of the bubble is proportional to temperature. Which one of the following inferences CANNOT be drawn from the given plot?

QUESTION ID:7

The masses and weights of some objects on the Moon were plotted against the same quantities on the Earth. The two graphs would appear as

QUESTION ID:8

How quickly must Rajesh drive the remaining distance to reach the city at an average speed of 100 km/h if he travels halfway there at 50 km/h? 

QUESTION ID:9

A rectangular sheet 31.4 cm x 10 cm is rolled across its length to make a cylinder and both ends of the cylinder are covered with additional circular sheets. What will be the total surface area of the covered cylinder approximately?

QUESTION ID:10

Choose the arrangement in the increasing order of size for an average human being:-

A: arm, B: toe, C: head, D: heart.

QUESTION ID:11

The average of 10 distinct nonnegative integers is 14.5. The average of the maximum and the minimum of these numbers is less than 15. Which of the following is the maximum possible value of the minimum?

QUESTION ID:12

In the fictional country of Vegereversia, which of the following provinces is the odd one out? 

QUESTION ID:13

Any 9 papers printed on both sides are drawn from a book. The sum of their page numbers CAN NEVER be ________.

QUESTION ID:14

Waters having three different colours (Red-R, Green-G, Blue-B) and temperatures: 4°C (R), 8°C (G) & 2°C (B), are put in a jar. How would these colours appear in the jar initially? 

QUESTION ID:15

A person covers 1/10, 1/6, and 1/5 of the total distance at speeds of 3 km/h, 5 km/h and 6 km/h, respectively. The remaining 16 km she covers at a speed of 16 km/h. How long does she take to travel the total distance?

QUESTION ID:16

Square of 5% is closest to

QUESTION ID:17

A person orders a 12-inch circular pizza online. The restaurant calls her back and says that they ran out of 12-inch pizzas and instead offers the following choices in circular pizzas. Which of them gives the best value for her money?

QUESTION ID:18

In a square land of 200 m x 200 m size, saplings are to be planted such that the distance between the saplings as well as the distance of saplings from the boundary of the land are not less than 20 m. What is the maximum number of saplings that can be planted in the land?

QUESTION ID:19

On a spherical balloon of radius 10 cm, two dots are put at a distance of 25 units. If the balloon is uniformly expanded to a sphere of radius 50 cm, the distance between the two dots in the same units would be

QUESTION ID:20

The diagram shows the rate of diamonds of different sizes. Of what size is the largest diamond that can be purchased for Rs.4.5 lakh?

QUESTION ID:21

Which one of the following statements is true about cellular senescence?

QUESTION ID:22

Haploinsufficiency in tumor suppressor genes can be caused by all of the following mechanisms EXCЕРТ

QUESTION ID:23

QUESTION ID:24

QUESTION ID:25

Which of the following enzymes is used for conversion of blood glucose to gluconolactone in commercially available blood glucometer? 

QUESTION ID:26

Which one of the following statements regarding the cadherin superfamily proteins is correct?

QUESTION ID:27

Which one of the following is NOT a vitamin K-dependent blood clotting factor? 

QUESTION ID:28

Which of the following phytohormone signaling pathways are evolutionarily related to bacterial two-component regulatory systems? 

QUESTION ID:29

Which one of the following bonds support the three intertwined polypeptide strands in the triple helical structure of collagen?

QUESTION ID:30

Which of the following is true for a monocot root? 

QUESTION ID:31

Which one of the following is NOT a true effect of aldosterone on the principal cells of distal tubule and the collecting duct to increase the reabsorption of Na⁺ ?

QUESTION ID:32

Ten bacterial cells are inoculated into 10 ml of Luria broth and grown for 10 hours with shaking at 37°C. What will be the approximate number of bacteria in the flask at the end of 10-hour incubation? (Note: the doubling time of this bacterium in Luria broth is approximately 20 min). 

QUESTION ID:33

Which one of the following statements is correct? 

QUESTION ID:34

Which experiment would be most effective in assessing the synergistic role of mycorrhizal fungi and plants in phytoremediation? 

QUESTION ID:35

Which one of the following statements about DNA packaging in chromosomes is INCORRECT? 

QUESTION ID:36

Column X lists Pattern Recognition Receptors (PRRs) and Column Y lists the ligands that bind to the PRRs.

Which one of the following options represents all correct matches between Column X and Column Y?

QUESTION ID:37

QUESTION ID:38

Which one of the following phenomena describes the evolution of wings in bats, birds, and insects? 

QUESTION ID:39

Which one of the following statements is INCORRECT regarding pattern formation during embryogenesis in Arabidopsis? 

QUESTION ID:40

A desert annual plant with long-duration seed dormancy germinates only after heavy rainfall. What life history trait does this illustrate? 

QUESTION ID:41

Which one of the following translation systems is inhibited by cycloheximide? 

QUESTION ID:42

Match the following:

Which one of the following options represents all correct matches between Column X and Column Y?

QUESTION ID:43

QUESTION ID:44

Which one of the following statements is INCORRECT about lectotype designation, following ICBN rules?

QUESTION ID:45

Which one of the following statements defines a monophyletic group?

QUESTION ID:46

What is the correct order of enzyme actions during the long-patch base excision repair in humans?

QUESTION ID:47

Which one of the following statements best describes the functions of the SNARE protein complex in vesicular transport?

QUESTION ID:48

Which one of the following correctly describes how a mutagen induces a specific type of base change in DNA?

QUESTION ID:49

Which one of the following plant pathogens has the most prolonged symptomless infection phase?

QUESTION ID:50

A grassland has five sympatric species of grasshoppers. Males sing species-specific songs to attract conspecific females. The song represents which mode(s) of reproductive isolation?

QUESTION ID:51

Skeletal muscle cells need to convert pyruvate to lactate while sustaining anaerobic respiration to

QUESTION ID:52

Which one of the following statements is INCORRECT regarding seasonality and sex in aphids?

QUESTION ID:53

Which one of the following statements is correct?

QUESTION ID:54

Which one of the following is NOT required for isotype switching from IgM to IgE?

QUESTION ID:55

Which one of the following statements best illustrates a dominant negative mutation?

QUESTION ID:56

In life history theory, the concept of 'cost of reproduction' refers to:

QUESTION ID:57

Which one of the following options suggests indirect selection in a population?

QUESTION ID:58

Which one of the following is NOT called secondary bile acid?

QUESTION ID:59

Which one of the following statements represents correct sequence of events during electron transport chain from P680 to P700 in a light reaction of photosynthesis in a typical plant?

QUESTION ID:60

In a developing Drosophila embryo, which one of the following is the correct order of Hox gene expression from the anterior-to-posterior axis? 

QUESTION ID:61

Which one of the following does NOT increase airways resistance in lungs?

QUESTION ID:62

Sheep RBCs (SRBCs) were added in wells 1-10 of a micro-titre plate as shown in the figure below. Next, serum from a mouse that had been immunized with SRBCs was diluted 1/50 in a tube and then added in serial two-fold dilutions from wells 1-9.

Which of the following statements is correct about titre of anti-SRBC antibodies in the serum sample? 

QUESTION ID:63

Which one of the following plants has a bisporic type of embryo sac development?

QUESTION ID:64

Select the correct set of 8-mer primer pair to PCR amplify a DNA fragment containing the region shown in upper case letters below:

5'-gagatcaggacttaGATTACAGATTACAGATTACAGATTACAggccaagtc - 3'

QUESTION ID:65

Which one of the following features distinguishes Echinoderms from Cnidarians?

QUESTION ID:66

A researcher captured 60 bivalves from a habitat on day 1 and tagged all of them. On day 2, she caught 40 bivalves out of which 20 were already tagged. She then estimated the population size of bivalves in the lake using this information. Which one of the options represents the percentage of the bivalve population that were marked on day 1?

QUESTION ID:67

Which one of the following properties is NOT responsible for the self-sealing nature of ruptured biological membranes?

QUESTION ID:68

In a population, the frequency of allele 'a' is 0.2 and that of allele 'b' is 0.1. Consider that there are two alleles for each of the genes. What would be the expected percentage of population with genotype AaBb, considering that the population is under Hardy-Weinberg equilibrium? (DROP)

QUESTION ID:69

Acetohydroxy acid synthase (AHAS), an enzyme involved in branched-chain amino acid biosynthesis, is inhibited by all the following classes of herbicides, EXCEРТ

QUESTION ID:70

The pKa of an amino acid side chain was measured in aqueous solution. Which one of the following is the correct arrangement of the amino acids in the decreasing order of their side chain pKa?

QUESTION ID:71

Below is a table with the list of post-translational modifications on proteins and amino acid residues that are correspondingly modified.

Which post-translational modifications are correctly matched with the amino acid residues they typically modify?

QUESTION ID:72

Leaves can alter the intracellular distribution of their chloroplasts in response to changing light conditions. Shown below are schematic diagram of chloroplast distribution patterns in palisade cells of Arabidopsis, in response to different light intensities, grown in a growth chamber having light source from the top.

Which one of the following combinations correctly matches the chloroplast distribution with its corresponding light intensity? 

QUESTION ID:73

The absorbance values of a dye measured at 600 nm were plotted against its corresponding concentrations, as given below.

Which of the following will be the best estimate of the extinction coefficient of the compound in M-¹cm¹ units? The path length of the cuvette used for the measurement is 1 cm.

QUESTION ID:74

Sturtevant introduced the concept of recombination frequency-based genetic maps. Since genetic distances between genes may be underestimated due to the occurrence of double crossovers, other mapping functions were developed to provide more accurate estimates. Haldane's mapping function assumes no interference between crossovers, while Kosambi's mapping function accounts for interference. The following graph presents the relationship between recombination frequency and map distance (cM) as proposed by Sturtevant and after corrections using either Haldane's or Kosambi's mapping functions.