IMAT 2024 question paper

1. A.
   Jane Austen
2. B.
   Mary Shelley
3. C.
   Virginia Wolf
4. D.
   Emily Dickinson
5. E.
   Agatha Christie

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1. A.
   In antiquity, mathematical notions were geared towards practical outcomes.
2. B.
   The evolution of mathematics has been an extremely slow process.
3. C.
   Symbols representing numbers had already been adopted in antiquity.
4. D.
   In antiquity, mathematical notions were not communicated in a methodical manner.
5. E.
   Since antiquity, mathematics has been characterized by abstractness and generality.

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1. A.
   The Kingdom of Castile and the Kingdom of Portugal
2. B.
   The Kingdom of France and the Kingdom of England
3. C.
   The Kingdom of England and the Kingdom of Portugal
4. D.
   The Kingdom of Aragon and the Kingdom of France
5. E.
   The Kingdom of Aragon and The Kingdom of Castile

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1. A.
   In the Iliad, Homer sings the deeds of the Pelide Achilles.
2. B.
   In one of his works, Plato associates solid forms to the four elements: octahedron to air, tetrahedron to fire, cube to earth, and icosahedron to water.
3. C.
   In the Gallic Wars, Julius Caesar described in detail his military campaign to conquer Gaul.
4. D.
   Many students read Greek tragedies in high school.
5. E.
   The deeds of Aeneas were sung by Virgil.

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1. A.
   24%
2. B.
   50%
3. C.
   25%
4. D.
   30%
5. E.
   20%

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1. A.
   8 %
2. B.
   4 %
3. C.
   6 %
4. D.
   67 %
5. E.
   33 %

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1. A.
   25%
2. B.
   28%
3. C.
   18%
4. D.
   15%
5. E.
   30%

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1. A.
   105
2. B.
   245
3. C.
   218
4. D.
   125
5. E.
   238

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1. A.
   Marco did not take the train; therefore he arrived late.
2. B.
   Marco arrived late; therefore he took the train.
3. C.
   Marco arrived on time; therefore he missed the train.
4. D.
   Marco took his car; therefore he arrived on time.
5. E.
   Marco arrived late; therefore he did not take the train.

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1. A.
   Glycolysis
2. B.
   The formation of microbodies
3. C.
   Cellular respiration
4. D.
   Photosynthesis
5. E.
   The methylation of sugars

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1. A.
   It is a bond between a hydrogen atom and another strongly electronegative atom (such as oxygen or nitrogen) which is present in another molecule.
2. B.
   It is the bond between hydrogen and ionised atoms (such as phosphorus).
3. C.
   It is a strong bond which allows bonding between non-polar molecules.
4. D.
   It is a covalent bond between hydrogen and oxygen.
5. E.
   It is the bond which occurs between hydrogen and oxygen within a water molecule.

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1. A.
   In the cytoplasm
2. B.
   On the internal membrane of the mitochondria
3. C.
   Close to the plasma membrane
4. D.
   In the mitochondrial matrix
5. E.
   In the large ribosomal subunit

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1. A.
   nonose
2. B.
   pentose
3. C.
   tetrose
4. D.
   triose
5. E.
   hexose

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1. A.
   Fructose
2. B.
   Ribose
3. C.
   Glucose
4. D.
   Lactose
5. E.
   Glycerol

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1. A.
   They are proteins that transport mRNA in the nucleus.
2. B.
   They are the proteins that transfer molecules and ions across the plasma membrane
3. C.
   They are proteins that break down phospholipids in the plasma membrane.
4. D.
   They are proteins that phosphorylate enzymes in the plasma membrane.
5. E.
   They are proteins that transport tRNA in the nucleolus.

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1. A.
   NADH
2. B.
   NADPH
3. C.
   Creatine
4. D.
   ATP
5. E.
   $\text{FADH}_{2}$

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1. A.
   exergonic
2. B.
   Oxidation-reduction
3. C.
   endergonic
4. D.
   Lipolysis
5. E.
   condensation

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1. A.
   Of bacteria
2. B.
   Only of algae
3. C.
   Of prokaryotes
4. D.
   Of eukaryotes
5. E.
   Of viruses

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1. A.
   The Golgi apparatus
2. B.
   The nucleus
3. C.
   The centriole
4. D.
   The nucleolus
5. E.
   The endoplasmic reticulum

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1. A.
   A very selective membrane in which no proteins are present
2. B.
   An outer membrane and a very selective inner membrane
3. C.
   Only a very selective outer membrane
4. D.
   An outer membrane consisting of a phospholipid monolayer
5. E.
   An outer membrane, an intermediate membrane, and a very selective inner membrane

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1. A.
   The sequence of three nucleotides found on the tRNA corresponding to a codon on the mRNA.
2. B.
   A part of the DNA that codes for a specific amino acid
3. C.
   The sequence of three mRNA nucleotides corresponding to a DNA codon
4. D.
   A terminal triplet of rRNA that binds a specific amino acid
5. E.
   A sequence three nucleotides transcribed from the mRNA and translated by rRNA

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1. A.
   DNA and proteins
2. B.
   DNA and lipids
3. C.
   RNA and DNA
4. D.
   RNA, DNA, and proteins
5. E.
   RNA and proteins

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1. A.
   A glycoprotein layer containing phospholipids and cholesterol
2. B.
   Cholesterol and phospholipid molecules enclosing a protein layer
3. C.
   A layer of fatty acids and globular proteins containing phospholipids and cholesterol
4. D.
   a double phospholipid layer with hydrophobic tails facing inward and the presence of integral and peripheral proteins
5. E.
   A double layer of triglycerides and cholesterol

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1. A.
   It is the process of transcribing the mRNA sequence into a corresponding DNA molecule.
2. B.
   It is the process of specific recognition of rRNA by amino acids.
3. C.
   It is the process by which mRNA is read and converted into a specific sequence of amino acids.
4. D.
   It is the process in which DNA is read and the corresponding mRNA produced.
5. E.
   It is the process of pairing between DNA codons and tRNA anticodons.

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1. A.
   Collagen fibres and reticular fibres
2. B.
   Microtubules, dynein, and myosin
3. C.
   Microtubules, microfilaments, and intermediate filaments
4. D.
   Actin, myosin and dynein
5. E.
   Microtubules, myosin, and filamin

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1. A.
   one of several alternative forms of a gene
2. B.
   The phenotypic manifestation of a given gene
3. C.
   A set of coding DNA triplets for a specific amino acid
4. D.
   A coding DNA base for a specific amino acid
5. E.
   A hereditary trait only found in haploid cells

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1. A.
   multiple
2. B.
   mutated
3. C.
   recessive
4. D.
   dominant
5. E.
   associated

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1. A.
   Alterations in the genetic information of a cell
2. B.
   Alterations in the active transport system of biological membranes
3. C.
   Alterations in the mechanism of cell division.
4. D.
   Alteration in the energy metabolism of a cell
5. E.
   Alterations in enzyme functionality during zygote formation

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1. A.
   Is exclusively eukaryotic
2. B.
   leads to the synthesis of RNA from DNA
3. C.
   is very similar to transcription
4. D.
   leads to the synthesis of polypeptide chains from mRNA
5. E.
   occurs in the nucleus of eukaryotic cells

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1. A.
   GGCAATTAAT
2. B.
   GGCAATAACT
3. C.
   CGCACCTCCT
4. D.
   AGTTATTGCC
5. E.
   GGACATCCCT

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1. A.
   DNA is used as a template to synthesise new DNA molecules
2. B.
   RNA is used as a template to synthesise new RNA molecules
3. C.
   Daughter cells are formed from a mother cell
4. D.
   RNA is used as a template to synthesise proteins
5. E.
   DNA is used as a template to synthesise new RNA molecules

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1. A.
   A functional unit composed of a group of adjacent genes, co-ordinately controlled, and of DNA sequences with regulatory functions.
2. B.
   An RNA complex that is involved in the replication of DNA
3. C.
   A DNA sequence element without any type of regulatory function
4. D.
   A group of adjacent genes independent from each other
5. E.
   a protein complex that catalyses the process of protein synthesis

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1. A.
   0.8 atm
2. B.
   0.3 atm
3. C.
   0.6 atm
4. D.
   0.5 atm
5. E.
   0.75 atm

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1. A.
   −81 atm
2. B.
   10 atm
3. C.
   9.6 atm
4. D.
   8.1 atm
5. E.
   12.5 atm

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1. A.
   BaO
2. B.
   $\text{Cl}_{2}\text{O}$
3. C.
   $\text{SO}_{3}$
4. D.
   $\text{SiO}_{2}$
5. E.
   $\text{N}_{2}\text{O}_{3}$

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1. A.
   From 10 mol of $\text{O}_{2}$ and 1 mol of $\text{FeS}_{2}$, 3 mol of $\text{SO}_{2}$ can be obtained.
2. B.
   To obtain 1 mol of $\text{Fe}_{2}\text{O}_{3}$, 2 mol of $\text{FeS}_{2}$ and 5 mol of $\text{O}_{2}$ are necessary.
3. C.
   From 4 mol of $\text{O}_{2}$ and 11 mol of $\text{FeS}_{2}$, 8 mol of $\text{SO}_{2}$ can be obtained.
4. D.
   From 2 mol of $\text{FeS}_{2}$ and 11 mol of $\text{O}_{2}$, 1 mol of $\text{Fe}_{2}\text{O}_{3}$ can be obtained.
5. E.
   To obtain 1 mol of $\text{Fe}_{2}\text{O}_{3}$ and 6 mol of $\text{SO}_{2}$, 2 mol of $\text{FeS}_{2}$ and 9 mol of $\text{O}_{2}$ are necessary.

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1. A.
   50 mL
2. B.
   60 mL
3. C.
   120 mL
4. D.
   75 mL
5. E.
   30 mL

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1. A.
   1.8
2. B.
   1.2
3. C.
   0.3
4. D.
   0.6
5. E.
   0.4

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1. A.
   Lewis base
2. B.
   Brönsted acid
3. C.
   Lewis acid
4. D.
   Arrhenius base
5. E.
   Brönsted base

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1. A.
   $\text{Zn}_{(s)}$
2. B.
   $\text{Zn(NO}_3\text{)}_{2(aq)}$
3. C.
   $\text{H}^{+}_{(aq)}$
4. D.
   $\text{HNO}_{3(aq)}$
5. E.
   $\text{Zn}^{2+}_{(aq)}$

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1. A.
   2,3-Dimethyl-2-butene
2. B.
   Cyclohexane
3. C.
   2-Hexanol
4. D.
   1,2-Dimethylcyclobutane
5. E.
   2,3-Dimethylpentane

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1. A.
   Acetic acid
2. B.
   Acetaldehyde
3. C.
   Dimethyl ether
4. D.
   Methyl acetate
5. E.
   Acetone

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1. A.
   760 torr
2. B.
   101325 Pa
3. C.
   1013.25 kPa
4. D.
   760 mmHg
5. E.
   1013 millibar

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1. A.
   $6.02 \times 10^{22}$
2. B.
   $3.01 \times 10^{22}$
3. C.
   $1.51 \times 10^{22}$
4. D.
   $3.01 \times 10^{23}$
5. E.
   $2.01 \times 10^{-23}$

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1. A.
   33 g of $\text{CO}_{2}$ are produced.
2. B.
   18 g of oxygen remain.
3. C.
   4 g of oxygen remain.
4. D.
   45 g of $\text{CO}_{2}$ are produced.
5. E.
   9 g of oxygen remain.

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1. A.
   1 mL
2. B.
   24 mL
3. C.
   99 mL
4. D.
   49 mL
5. E.
   2 mL

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1. A.
   the conjugate acid is the product of the bonding of the base with an OH− ion
2. B.
   the conjugate base is formed by an acid that has acquired an OH− ion
3. C.
   a strong acid forms a conjugate with a weak base
4. D.
   an acid is a substance which can provide a pair of electrons
5. E.
   a base is a compound which can donate OH− ions

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1. A.
   $2\sqrt[6]{2}$
2. B.
   $\sqrt{2}$
3. C.
   $\sqrt[6]{2}$
4. D.
   $\sqrt[3]{4}$
5. E.
   $2\sqrt{2}$

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1. A.
   $\dfrac{1}{4}$
2. B.
   6
3. C.
   2
4. D.
   $\dfrac{1}{2}$
5. E.
   4

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1. A.
   $\dfrac{51}{100}$
2. B.
   $\dfrac{7}{10}$
3. C.
   $\dfrac{42}{90}$
4. D.
   $\dfrac{9}{100}$
5. E.
   $\dfrac{49}{100}$

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1. A.
   each real $x$ with $x \le \dfrac{4}{3}$
2. B.
   each real $x$ with $x > \dfrac{4}{3}$
3. C.
   each real $x$ with $x < \dfrac{4}{3}$
4. D.
   each real $x$ with $x \ge \dfrac{4}{3}$
5. E.
   each real $x$ with $x \ne -\dfrac{3}{4} \wedge x \ne 0$

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1. A.
   They are explementary.
2. B.
   They are equal.
3. C.
   They are supplementary.
4. D.
   They are complementary.
5. E.
   There is no relationship between the two angles.

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1. A.
   $175\pi\ \text{cm}^3$
2. B.
   $105\pi\ \text{cm}^3$
3. C.
   $70\pi\ \text{cm}^3$
4. D.
   This cannot be calculated with these data
5. E.
   $245\pi\ \text{cm}^3$

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1. A.
   $a = c\sin(\alpha)$
2. B.
   $a = c\cos(\alpha)$
3. C.
   $c = a\cos(\alpha)$
4. D.
   $c = a\sin(\alpha)$
5. E.
   $a = b\cos(\alpha)$

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1. A.
   105 W
2. B.
   1050 W
3. C.
   210 W
4. D.
   420 W
5. E.
   8,4 W

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1. A.
   becomes P/2
2. B.
   becomes 3P
3. C.
   does not change
4. D.
   changes, depending on T
5. E.
   becomes P/3

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1. A.
   2922 Ω
2. B.
   2.922 Ω
3. C.
   29220 Ω
4. D.
   29.22 Ω
5. E.
   292.2 Ω

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1. A.
   The electron continues to move with a constant velocity $\vec{v}$
2. B.
   The motion of the electron is uniformly circular with a period of $\dfrac{2\pi m_e}{eB}$
3. C.
   The motion of the electron is circular with constant angular velocity
4. D.
   The motion of the electron is uniformly circular with a frequency $\dfrac{eB}{2\pi m_e}$
5. E.
   The trajectory of the electron is a circle with a radius of $\dfrac{m_e v}{eB}$

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1. A.
   approximately −4 m/s
2. B.
   0 m/s
3. C.
   approximately 4,2 m/s
4. D.
   approximately 8,5 m/s
5. E.
   approximately 25,1 m/s

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1. A.
   The pendulum describes a circular arc during its motion.
2. B.
   In the absence of friction, the pendulum tends to come to a stop after a certain time
3. C.
   In the presence of friction oscillatory motion is damped.
4. D.
   In the absence of friction, the motion is simple harmonic oscillation.
5. E.
   The pendulum stops after reaching a certain height and then swings back.

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