NUMS — Medical & Dental Entry Test

NUMS Full-Length Mock Test 4 (180 MCQs)

Take the NUMS Full-Length Mock Test 4 (180 MCQs): 180 multiple-choice questions (190 minutes) with instant scoring and a full answer review. Covers 81…

What this test covers

Sample questions with answers

The first 5 questions of this test, with the correct answer and explanation.

  1. Q1. At the isoelectric point of an amino acid in solution, the molecule exists mainly as:

    • A. an uncharged molecule without ions
    • B. a zwitterion with no net charge ✓
    • C. a cation with a net positive charge
    • D. an anion with a net negative charge

    Answer: B. a zwitterion with no net charge

    Explanation: At the isoelectric pH the amino group carries + and the carboxyl group − charge, giving zero net charge, a dipolar ion.

  2. Q2. A student stains tissue and finds a highly branched polysaccharide stored in liver cells. It is most likely:

    • A. amylose
    • B. chitin
    • C. glycogen ✓
    • D. cellulose

    Answer: C. glycogen

    Explanation: Glycogen is the branched α-glucose storage polymer in animal liver and muscle; amylose is unbranched and cellulose is structural.

  3. Q3. The high specific heat capacity of water is important for living organisms because it:

    • A. helps buffer cells against sudden temperature changes ✓
    • B. makes water a poor solvent for ions
    • C. allows ice to sink in ponds
    • D. prevents water from forming hydrogen bonds

    Answer: A. helps buffer cells against sudden temperature changes

    Explanation: Hydrogen bonds absorb heat before temperature rises, keeping cell and body temperature stable.

  4. Q4. A DNA double helix contains 2000 nucleotides in total and 30% of the bases are guanine. How many hydrogen bonds hold the two strands together?

    • A. 2600 ✓
    • B. 3000
    • C. 2400
    • D. 2000

    Answer: A. 2600

    Explanation: G = C = 30% = 600 each (A = T = 20% = 400 each); hydrogen bonds = 600 × 3 + 400 × 2 = 2600.

  5. Q5. In the presence of a competitive inhibitor, an enzyme's Vmax and Km change as follows:

    • A. Vmax decreases and Km is unchanged
    • B. Vmax decreases and Km decreases
    • C. Vmax is unchanged and Km increases ✓
    • D. Vmax increases and Km is unchanged

    Answer: C. Vmax is unchanged and Km increases

    Explanation: A competitive inhibitor can be overcome by high substrate, so Vmax is the same, but more substrate is needed for half Vmax, so Km rises.

The other 175 questions

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  1. Q6. An enzyme that joins two molecules using energy from ATP hydrolysis, for example in DNA ligation, belongs to the class of:

    • A. ligases
    • B. oxidoreductases
    • C. isomerases
    • D. hydrolases
  2. Q7. A heat-stable enzyme from a hot-spring bacterium keeps working at 80 °C, whereas a human enzyme does not. The difference is most likely due to:

    • A. extra stabilising bonds in the tertiary structure
    • B. presence of a different type of peptide bond
    • C. absence of an active site in the human enzyme
    • D. the lower activation energy of the bacterial enzyme only
  3. Q8. In a pathway A → B → C → D, each step is catalysed by a different enzyme. A drug inhibits the enzyme converting C to D. Which change is expected?

    • A. D accumulates and C falls
    • B. B and C accumulate and D falls
    • C. Only A falls while all others rise
    • D. A accumulates and B falls
  4. Q9. Pepsin is secreted as an inactive precursor, pepsinogen. The biological advantage is that:

    • A. the secreting cells are protected from self-digestion
    • B. pepsin works better at neutral pH
    • C. it prevents HCl from being released
    • D. pepsinogen digests proteins faster than pepsin
  5. Q10. Cells treated with a drug that blocks nuclear pores would first fail to:

    • A. synthesise ATP in the mitochondria
    • B. export mRNA to the cytoplasm for translation
    • C. carry out glycolysis
    • D. synthesise lipids in smooth ER
  6. Q11. In the secretion of a glycoprotein, the correct order of organelles is:

    • A. rough ER, lysosome, Golgi, nucleus
    • B. rough ER, Golgi apparatus, secretory vesicle, plasma membrane
    • C. smooth ER, nucleus, Golgi, plasma membrane
    • D. Golgi apparatus, rough ER, lysosome, plasma membrane
  7. Q12. Which structure is present in a plant cell but absent from an animal cell?

    • A. Ribosomes
    • B. Plasma membrane
    • C. Cell wall
    • D. Mitochondria
  8. Q13. A plant cell has solute potential −1.2 MPa and turgor (pressure) potential +0.7 MPa. When placed in pure water at equilibrium its net water uptake stops once pressure potential equals:

    • A. 0.7 MPa
    • B. 1.2 MPa
    • C. 0.5 MPa
    • D. 0 MPa
  9. Q14. White blood cells engulf bacteria by extending their cell membrane around them. This process is called:

    • A. pinocytosis
    • B. phagocytosis
    • C. facilitated diffusion
    • D. exocytosis
  10. Q15. A cell in the G₂ phase has 46 chromosomes in a human cell. How many DNA molecules does it have?

    • A. 92
    • B. 46
    • C. 23
    • D. 184
  11. Q16. Which respiratory substrate gives the highest yield of ATP per gram when completely oxidised in the Krebs cycle and chain?

    • A. Fat
    • B. Protein
    • C. Glucose
    • D. Carbohydrate
  12. Q17. For each glucose molecule fully oxidised aerobically, how many NADH molecules are formed in the link reaction and Krebs cycle combined?

    • A. 8
    • B. 2
    • C. 10
    • D. 6
  13. Q18. A researcher exposes a chloroplast suspension only to far-red light (700 nm) and finds that ATP forms but no NADPH or oxygen. This indicates:

    • A. complete Calvin cycle activity
    • B. photolysis of water by photosystem II
    • C. cyclic photophosphorylation by photosystem I only
    • D. non-cyclic photophosphorylation
  14. Q19. In a graph of photosynthesis rate against light intensity at constant CO₂, the rate levels off at high light intensity. The most probable limiting factor at that point is:

    • A. the number of stomata in the epidermis
    • B. chlorophyll absorption of green light
    • C. availability of oxygen in the leaf
    • D. CO₂ concentration or temperature
  15. Q20. Which statement correctly compares chemiosmosis in mitochondria and chloroplasts?

    • A. In chloroplasts protons accumulate in the thylakoid lumen; in mitochondria in the intermembrane space
    • B. In both, protons accumulate in the matrix or stroma
    • C. In both, protons are pumped into the cytosol
    • D. In chloroplasts protons accumulate in the stroma; in mitochondria in the matrix
  16. Q21. Compared with aerobic respiration, anaerobic respiration in yeast yields:

    • A. ATP only from the Krebs cycle
    • B. the same ATP but less water
    • C. more ATP per glucose
    • D. much less ATP per glucose
  17. Q22. A mould grows on bread by secreting enzymes and absorbing the digested products. This mode of nutrition is:

    • A. saprotrophic
    • B. autotrophic
    • C. holozoic
    • D. parasitic
  18. Q23. A plant shows alternation of generations, produces spores in capsules, has no vascular tissue and requires water for fertilisation. It belongs to:

    • A. angiosperms
    • B. pteridophytes
    • C. bryophytes
    • D. gymnosperms
  19. Q24. An animal has a segmented body, a hard exoskeleton of chitin, jointed legs and an open circulatory system. It belongs to phylum:

    • A. Nematoda
    • B. Arthropoda
    • C. Mollusca
    • D. Annelida
  20. Q25. A hospital finds a bacterial strain resistant to many antibiotics. Resistance genes are often located on plasmids mainly because plasmids:

    • A. are essential for the survival of the cell
    • B. are the only DNA that bacteria possess
    • C. are broken down by restriction enzymes
    • D. can be copied and passed between bacteria
  21. Q26. A bacterium that obtains energy by oxidising inorganic compounds like ammonia and uses CO₂ as its carbon source is:

    • A. a photoautotroph
    • B. a chemoheterotroph
    • C. a chemoautotroph
    • D. a photoheterotroph
  22. Q27. In the lytic cycle of a bacteriophage, which step occurs immediately after the phage injects its DNA into the bacterial cell?

    • A. The phage DNA integrates into the host chromosome
    • B. Host machinery makes phage DNA and proteins
    • C. The bacterial cell wall is rebuilt
    • D. New phage particles are released by lysis
  23. Q28. Which disease is caused by a virus?

    • A. Tuberculosis
    • B. Typhoid
    • C. Poliomyelitis
    • D. Cholera
  24. Q29. A patient with a peptic ulcer is treated with antibiotics because the stomach lining damage is often associated with the bacterium:

    • A. Vibrio cholerae
    • B. Escherichia coli K12
    • C. Salmonella typhi
    • D. Helicobacter pylori
  25. Q30. The presence of acidic chyme in the duodenum stimulates the release of secretin, which:

    • A. stimulates the pancreas to release bicarbonate-rich juice
    • B. stimulates gastric glands to secrete HCl
    • C. causes gall bladder contraction
    • D. stimulates peristalsis of the colon
  26. Q31. The inner lining of the small intestine has villi and microvilli, which mainly:

    • A. kill pathogens with acid
    • B. secrete bile salts
    • C. increase surface area for absorption
    • D. churn the food mechanically
  27. Q32. Glucose and galactose are absorbed faster than fructose in the small intestine because they:

    • A. are absorbed by simple diffusion
    • B. use Na⁺-coupled active transport
    • C. are larger molecules than fructose
    • D. enter only through lacteals
  28. Q33. Yellowing of the skin and eyes (jaundice) occurs when the bile duct is blocked because:

    • A. carotene is not absorbed
    • B. too much haemoglobin is made
    • C. bilirubin accumulates in the blood
    • D. the liver stops synthesising urea
  29. Q34. A cow can obtain energy from grass cellulose, while humans cannot, because the cow:

    • A. secretes its own cellulase from the pancreas
    • B. has cellulase-producing microbes in the rumen
    • C. has a longer small intestine only
    • D. has stronger stomach acid than humans
  30. Q35. Guard cells open the stomatal pore when they:

    • A. lose K⁺ and become flaccid
    • B. convert starch into sucrose only
    • C. take up K⁺ and become turgid
    • D. stop all photosynthesis
  31. Q36. At a high altitude the body responds over weeks by increasing:

    • A. the number of red blood cells (via erythropoietin)
    • B. the diameter of the trachea
    • C. the plasma albumin concentration
    • D. the partial pressure of oxygen in the air
  32. Q37. During an asthma attack, a patient finds exhaling much more difficult. The main change in the airway is:

    • A. contraction of bronchial smooth muscle and mucus
    • B. fluid in the pleural cavity
    • C. paralysis of the intercostal muscles
    • D. destruction of the alveolar walls
  33. Q38. A person inhales air at sea level. If the atmospheric pressure is 760 mmHg and oxygen makes up 21% of dry air, the partial pressure of O₂ in dry air is closest to:

    • A. 760 mmHg
    • B. 100 mmHg
    • C. 160 mmHg
    • D. 21 mmHg
  34. Q39. Inside a red blood cell in the tissue capillaries, the enzyme carbonic anhydrase causes:

    • A. HCO₃⁻ to bind directly to haemoglobin
    • B. oxygen to be converted into CO₂
    • C. CO₂ and water to form carbonic acid
    • D. carbonic acid to form from nitrogen
  35. Q40. A patient has swollen legs after surgical removal of lymph nodes in the groin. The most likely explanation is that:

    • A. the heart's valves have closed
    • B. blood is no longer reaching the capillaries
    • C. tissue fluid is not returned adequately to the blood
    • D. plasma proteins are filtered into the lymph
  36. Q41. During ventricular systole, which valves are closed and which are open?

    • A. Both sets of valves closed
    • B. Atrioventricular valves closed, semilunar valves open
    • C. Both sets of valves open
    • D. Atrioventricular valves open, semilunar valves closed
  37. Q42. Which blood component is chiefly responsible for transporting antibodies and hormones?

    • A. Platelets
    • B. Erythrocytes
    • C. Plasma
    • D. Lymphocytes
  38. Q43. An Rh-negative mother carrying an Rh-positive fetus has her first baby safely, but later pregnancies are at risk. The cause is that, after the first birth, the mother:

    • A. makes Rh antigens that attack the baby
    • B. loses many of her own red blood cells
    • C. makes anti-Rh antibodies that cross the placenta
    • D. becomes Rh-positive in her blood type
  39. Q44. Plaques in the coronary arteries reduce blood flow mainly because they:

    • A. narrow the lumen and reduce elasticity of the wall
    • B. increase the heart rate directly
    • C. increase the number of red cells
    • D. thin the artery wall causing blood loss
  40. Q45. A major advantage of the four-chambered human heart over the two-chambered fish heart is:

    • A. a single circuit of blood flow to the body
    • B. no mixing of oxygenated and deoxygenated blood
    • C. lower blood pressure in all the tissues
    • D. blood passing through the gills before the body
  41. Q46. Proteins and blood cells are normally absent from glomerular filtrate because of:

    • A. the permeability of the collecting duct
    • B. reabsorption in the loop of Henle
    • C. the basement membrane and filtration slits
    • D. active secretion by the proximal tubule
  42. Q47. A person who has lost a lot of water through sweating releases more ADH. The urine produced is:

    • A. large in volume and dilute
    • B. small in volume and concentrated
    • C. small in volume and dilute
    • D. large in volume and concentrated
  43. Q48. Hyperventilation causes the blood pH to rise, a condition called respiratory alkalosis. This happens because:

    • A. CO₂ is lost faster, lowering carbonic acid
    • B. excess bicarbonate is retained by the kidney
    • C. oxygen replaces H⁺ in the plasma
    • D. lactic acid builds up in the blood
  44. Q49. Kidney stones are usually formed by crystallisation of salts such as calcium oxalate in the:

    • A. liver
    • B. renal pelvis and ureter
    • C. glomerulus
    • D. alveoli
  45. Q50. A person's body temperature rises on a hot day. The hypothalamus activates mechanisms that include:

    • A. vasoconstriction and shivering
    • B. release of adrenaline to raise metabolic rate
    • C. piloerection and curling up
    • D. vasodilation of skin arterioles and sweating
  46. Q51. A neuron releases a neurotransmitter that opens Cl⁻ channels in the postsynaptic membrane. The effect on the postsynaptic cell is:

    • A. an action potential immediately
    • B. hyperpolarisation, making firing less likely
    • C. no change in membrane potential
    • D. depolarisation, making firing more likely
  47. Q52. In multiple sclerosis the myelin sheath of neurons is destroyed. A resulting symptom is:

    • A. slowed or blocked conduction of nerve impulses
    • B. increased speed of conduction
    • C. failure of neurotransmitter synthesis
    • D. stronger action potentials with greater amplitude
  48. Q53. A person who has difficulty seeing distant objects clearly but sees near objects well has myopia. It can be corrected with a:

    • A. plane mirror
    • B. concave (diverging) lens
    • C. cylindrical lens only
    • D. convex (converging) lens
  49. Q54. A person with a diet lacking iodine develops a goitre. The swelling of the thyroid occurs because:

    • A. excess thyroxine inhibits the hypothalamus
    • B. calcitonin is secreted in excess
    • C. low thyroxine leads to high TSH, stimulating gland growth
    • D. TSH is destroyed by the pituitary
  50. Q55. In a prolonged stress response, cortisol from the adrenal cortex acts to:

    • A. reduce glucose production in the liver
    • B. raise blood glucose by gluconeogenesis
    • C. increase insulin secretion
    • D. lower blood pressure
  51. Q56. A seedling placed near a window bends towards the light. The bending is due to auxin that:

    • A. accumulates on the lit side, elongating those cells
    • B. accumulates on the shaded side, elongating those cells
    • C. breaks down in the shaded side
    • D. is made in the root tips
  52. Q57. A chrysanthemum flowers only when the night is longer than a critical length. Such a plant is called:

    • A. a day-neutral plant
    • B. a long-day plant
    • C. a short-day plant
    • D. a vernalised plant
  53. Q58. Which of these is a non-specific defence mechanism against pathogens?

    • A. Memory T cell activation
    • B. Production of antibodies by plasma cells
    • C. Complementary antibody binding to an antigen
    • D. Phagocytosis by macrophages
  54. Q59. In type 1 diabetes the immune system destroys the insulin-producing β cells. This is an example of:

    • A. an allergic reaction
    • B. an immunodeficiency
    • C. an autoimmune disease
    • D. a graft rejection
  55. Q60. A patient receives a kidney transplant and is treated with drugs to suppress T cells. This is done because:

    • A. macrophages produce antibodies against the donor ABO
    • B. the graft cells release interleukins that kill the host
    • C. B cells make the kidney antigens
    • D. T cells recognise the foreign MHC proteins and cause rejection
  56. Q61. Which protein in a muscle fibre binds calcium ions and thereby allows myosin heads to attach to actin?

    • A. Troponin
    • B. Myosin
    • C. Actin
    • D. Tropomyosin
  57. Q62. Cartilage in the nose, ear and trachea rings is mainly useful because it is:

    • A. very hard because of calcium phosphate
    • B. made of striated muscle fibres
    • C. flexible yet firm, supporting structures
    • D. a rich source of blood vessels
  58. Q63. A child's long bones grow in length at the:

    • A. medullary cavity
    • B. periosteum
    • C. articular cartilage only
    • D. epiphyseal plates
  59. Q64. When you bend your forearm at the elbow, the biceps contracts and the triceps relaxes. These two muscles are described as:

    • A. antagonistic muscles
    • B. synergistic muscles
    • C. tendons
    • D. involuntary muscles
  60. Q65. After ovulation, the ruptured follicle becomes the corpus luteum, which secretes mainly:

    • A. FSH and LH
    • B. hCG
    • C. progesterone and some oestrogen
    • D. testosterone
  61. Q66. Which substance is NOT normally able to cross the placenta from the mother's blood to the fetal blood in significant amounts?

    • A. IgG antibodies
    • B. Glucose
    • C. Maternal red blood cells
    • D. Oxygen
  62. Q67. The early divisions of a zygote that produce a ball of cells without any overall increase in size are called:

    • A. parturition
    • B. gastrulation
    • C. implantation
    • D. cleavage
  63. Q68. A flower that is pollinated by wind is usually expected to have:

    • A. small petals and large feathery stigmas
    • B. large brightly coloured petals
    • C. sticky, heavy pollen grains
    • D. nectar and scent
  64. Q69. After menopause, ovarian secretion of oestrogen falls. The level of FSH in the blood then:

    • A. stays constant due to the thyroid
    • B. remains zero
    • C. falls because ovaries stop making it
    • D. rises because negative feedback is lost
  65. Q70. A tall pea plant of unknown genotype is crossed with a dwarf plant, giving 52 tall and 48 dwarf offspring. The genotype of the tall parent was:

    • A. tt
    • B. TT
    • C. Tt
    • D. TT or Tt in equal numbers
  66. Q71. Two genes control coat colour in a rodent: one allele at gene C is needed to make pigment, and gene B controls whether it is black or brown. CcBb × CcBb gives, in a 9:3:4 ratio, black, brown and albino. The albino phenotype is due to:

    • A. bb only, which stops pigment formation
    • B. cc, which masks the B gene
    • C. CC only, which blocks the B gene
    • D. a mutation in the black allele B
  67. Q72. A deletion of one base from the middle of a gene causes a frameshift mutation. The result is that:

    • A. only the stop codon is changed
    • B. all codons after the deletion are altered
    • C. there is no change in the protein
    • D. only one amino acid is changed
  68. Q73. Phenylketonuria is a recessive disorder. A couple who are both carriers have a child. The probability that the child is affected is:

    • A. 50%
    • B. 25%
    • C. 75%
    • D. 100%
  69. Q74. Klinefelter syndrome (47, XXY) occurs due to nondisjunction. The sex chromosome complement of the resulting sperm or egg could be:

    • A. XY egg fertilised by a Y sperm
    • B. O egg fertilised by an X sperm
    • C. XX egg fertilised by a Y sperm
    • D. XX sperm fertilised by an X egg
  70. Q75. During transcription, RNA polymerase reads the template DNA strand 3′ to 5′ and synthesises mRNA in the direction:

    • A. both directions at once
    • B. 5′ to 3′
    • C. from the 3′ end of the coding strand
    • D. 3′ to 5′
  71. Q76. A small isolated island population has a harmful allele that becomes common by chance after a few individuals found the colony. This is an example of:

    • A. directional mutation pressure
    • B. natural selection for the allele
    • C. gene flow
    • D. the founder effect
  72. Q77. Wings of a bat and the arm of a human are:

    • A. analogous structures with similar origin
    • B. homologous structures showing common ancestry
    • C. convergent traits
    • D. vestigial organs
  73. Q78. A fossil is found in older rock strata than another. According to the principle of superposition, the older fossil is:

    • A. in the deeper layer
    • B. at the same level
    • C. in the upper layer
    • D. of unknown order
  74. Q79. Human insulin is produced by bacteria carrying the human insulin gene. For the gene to be expressed in bacteria, it must be joined to:

    • A. a mitochondrial DNA segment
    • B. a eukaryotic spliceosome
    • C. a human intron-containing sequence
    • D. a bacterial promoter
  75. Q80. A population of 200 deer in a reserve has 30 births and 10 deaths in a year, with no migration. The population growth rate per year is:

    • A. 20%
    • B. 10%
    • C. 15%
    • D. 5%
  76. Q81. Excess fertiliser washing into a lake causes algal blooms and the death of fish. The sequence responsible is:

    • A. eutrophication with oxygen depletion by decomposers
    • B. acid rain that lowers the lake pH sharply
    • C. a steady increase in dissolved oxygen levels
    • D. global warming caused by algal respiration
  77. Q82. How many ions are present in total in 5.85 g of sodium chloride (M = 58.5 g mol⁻¹)? (Nᴀ = 6.022 × 10²³ mol⁻¹)

    • A. 6.022 × 10²²
    • B. 1.204 × 10²³
    • C. 3.011 × 10²²
    • D. 6.022 × 10²³
  78. Q83. A compound contains 40.0% C, 6.7% H and 53.3% O by mass and has a molar mass of 180 g mol⁻¹. What is its molecular formula? (C = 12, H = 1, O = 16)

    • A. C₃H₆O₃
    • B. C₁₂H₂₄O₁₂
    • C. C₆H₁₂O₆
    • D. CH₂O
  79. Q84. 2.4 g of magnesium (Ar = 24) is added to 100 cm³ of 1.0 M hydrochloric acid: Mg + 2HCl → MgCl₂ + H₂. What volume of hydrogen forms at STP (molar volume 22.4 dm³)?

    • A. 0.56 dm³
    • B. 1.12 dm³
    • C. 4.48 dm³
    • D. 2.24 dm³
  80. Q85. What is the maximum number of electrons that can be accommodated in a subshell with azimuthal quantum number l = 3?

    • A. 14
    • B. 18
    • C. 7
    • D. 10
  81. Q86. Which statement about a filled 2p orbital violates the Pauli exclusion principle?

    • A. The two electrons occupy the same orbital together
    • B. The two electrons have opposite spins (+½ and −½)
    • C. Both electrons have n = 2, l = 1, mₗ = 0 and mₛ = +½
    • D. Each electron has n = 2 and l = 1 as quantum numbers
  82. Q87. Carbon dioxide has polar C=O bonds but is a non-polar molecule. What explains this?

    • A. Its linear shape makes the two bond dipoles cancel each other
    • B. Its carbon atom has no electronegativity
    • C. The molecule contains two lone pairs on carbon
    • D. The C=O bonds are purely covalent with no polarity
  83. Q88. What is the density of oxygen gas (M = 32 g mol⁻¹) at 2.0 atm and 27 °C? (R = 0.0821 dm³ atm K⁻¹ mol⁻¹)

    • A. 5.20 g dm⁻³
    • B. 2.60 g dm⁻³
    • C. 0.385 g dm⁻³
    • D. 1.30 g dm⁻³
  84. Q89. A sealed rigid cylinder holds gas at 3.0 atm and 27 °C. What is the pressure when it is heated to 127 °C?

    • A. 4.0 atm
    • B. 3.9 atm
    • C. 9.0 atm
    • D. 12 atm
  85. Q90. How many atoms belong to one body-centred cubic (bcc) unit cell, and what is the coordination number of each atom?

    • A. 1 atom and coordination number 6
    • B. 4 atoms and coordination number 12
    • C. 2 atoms and coordination number 6
    • D. 2 atoms and coordination number 8
  86. Q91. 1.0 mol each of A and B are placed in a 1.0 dm³ vessel and react by A + B ⇌ 2C, with Kc = 4.0 at the temperature used. What is the equilibrium concentration of C?

    • A. 1.0 mol dm⁻³
    • B. 2.0 mol dm⁻³
    • C. 0.50 mol dm⁻³
    • D. 0.67 mol dm⁻³
  87. Q92. The solubility product of PbI₂ is 4.0 × 10⁻⁹ mol³ dm⁻⁹ at 25 °C. What is its molar solubility in pure water?

    • A. 1.0 × 10⁻³ mol dm⁻³
    • B. 2.0 × 10⁻³ mol dm⁻³
    • C. 6.3 × 10⁻⁵ mol dm⁻³
    • D. 4.0 × 10⁻⁹ mol dm⁻³
  88. Q93. 100 cm³ of 0.20 M HCl is mixed with 100 cm³ of 0.10 M NaOH. What is the pH of the mixture? (log 5 = 0.70)

    • A. 1.00
    • B. 0.70
    • C. 1.30
    • D. 1.60
  89. Q94. What is the pH of 0.10 M of a weak monobasic acid HA with Ka = 1.0 × 10⁻⁵? (Assume that ionisation is small.)

    • A. 1.0
    • B. 4.0
    • C. 5.0
    • D. 3.0
  90. Q95. The aqueous solution of which salt has a pH above 7?

    • A. Al₂(SO₄)₃
    • B. Na₂CO₃
    • C. NH₄Cl
    • D. NaCl
  91. Q96. A first-order reaction has a rate constant of 0.0231 min⁻¹. How long does it take for the concentration of the reactant to fall to one-eighth of its initial value? (ln 2 = 0.693)

    • A. 30 min
    • B. 90 min
    • C. 60 min
    • D. 180 min
  92. Q97. A graph of ln k (y-axis) against 1/T (x-axis) is a straight line for a reaction. What does its slope equal?

    • A. Eₐ/R
    • B. −Eₐ/R
    • C. −R/Eₐ
    • D. ln A
  93. Q98. For N₂(g) + 3H₂(g) → 2NH₃(g) at 300 K, what is ΔH − ΔE? (R = 8.314 J K⁻¹ mol⁻¹)

    • A. −2.5 kJ
    • B. −10.0 kJ
    • C. +5.0 kJ
    • D. −5.0 kJ
  94. Q99. Given N₂(g) + 2O₂(g) → 2NO₂(g), ΔH = +66.4 kJ and N₂O₄(g) → 2NO₂(g), ΔH = +57.2 kJ, what is ΔH for N₂(g) + 2O₂(g) → N₂O₄(g)?

    • A. +123.6 kJ
    • B. +9.2 kJ
    • C. −123.6 kJ
    • D. −9.2 kJ
  95. Q100. A galvanic cell uses Mg²⁺/Mg (E° = −2.37 V) and Fe²⁺/Fe (E° = −0.44 V) half-cells. What is the standard cell potential and which electrode is the anode?

    • A. 2.81 V, with iron as the anode
    • B. 1.93 V, with magnesium as the anode
    • C. 1.93 V, with iron as the anode
    • D. 2.81 V, with magnesium as the anode
  96. Q101. Concentrated aqueous sodium chloride is electrolysed in a diaphragm cell with inert electrodes. Which substance accumulates in the solution around the cathode?

    • A. Hydrochloric acid
    • B. Sodium hypochlorite
    • C. Sodium hydroxide
    • D. Sodium metal
  97. Q102. Which of these aqueous solutions of equal molality (0.1 m) freezes at the lowest temperature?

    • A. Urea
    • B. Glucose
    • C. NaCl
    • D. CaCl₂
  98. Q103. The first ionisation energy of aluminium is lower than that of magnesium. What is the reason?

    • A. Aluminium has a half-filled 3p subshell that is extra stable
    • B. The outer electron of Al is in the higher-energy 3p subshell
    • C. Aluminium has a smaller atomic radius than magnesium
    • D. Aluminium has a smaller nuclear charge than magnesium
  99. Q104. Which oxide is amphoteric?

    • A. MgO
    • B. SO₃
    • C. Na₂O
    • D. Al₂O₃
  100. Q105. Chlorine water is added to aqueous potassium bromide solution. What is observed?

    • A. The colourless solution turns purple because iodine is liberated
    • B. No change occurs because chlorine is less reactive than bromine
    • C. A white precipitate of KCl settles out immediately
    • D. The colourless solution turns orange-brown because bromine is liberated
  101. Q106. Which metal ion imparts a brick-red colour to a Bunsen flame?

    • A. K⁺
    • B. Ba²⁺
    • C. Na⁺
    • D. Ca²⁺
  102. Q107. Carbon dioxide is a gas at room temperature, but silicon dioxide is a hard solid with a very high melting point. What is the reason?

    • A. Silicon is a metal, whereas carbon is a non-metal with weak forces
    • B. Si–O bonds are ionic, while the C=O bonds in CO₂ are covalent
    • C. CO₂ molecules are held together by strong hydrogen bonds between them
    • D. SiO₂ is a giant covalent network, while CO₂ consists of small discrete molecules
  103. Q108. What is the oxidation state of chromium in potassium dichromate, K₂Cr₂O₇?

    • A. +3
    • B. +12
    • C. +6
    • D. +7
  104. Q109. Which of these can act as a bidentate ligand?

    • A. Chloride ion (Cl⁻)
    • B. Ammonia (NH₃)
    • C. Ethane-1,2-diamine (H₂N–CH₂–CH₂–NH₂)
    • D. Cyanide ion (CN⁻)
  105. Q110. Excess aqueous ammonia is added to copper(II) sulphate solution. Which species is responsible for the final deep blue colour?

    • A. [Cu(H₂O)₆]²⁺
    • B. Cu(OH)₂
    • C. [Cu(NH₃)₄(H₂O)₂]²⁺
    • D. CuCO₃
  106. Q111. Name the hydrocarbon CH₂=CH–CH(CH₃)–CH₂CH₃ according to IUPAC rules.

    • A. 2-Methylpent-4-ene
    • B. 2-Ethylbut-3-ene
    • C. 3-Methylpent-1-ene
    • D. 3-Methylpent-4-ene
  107. Q112. Which of these alkenes shows cis–trans (geometrical) isomerism?

    • A. But-2-ene
    • B. Propene
    • C. 2-Methylpropene
    • D. But-1-ene
  108. Q113. Which of these alcohols is optically active?

    • A. Propan-2-ol
    • B. Butan-2-ol
    • C. 2-Methylpropan-2-ol
    • D. Ethanol
  109. Q114. In the chlorination of methane by free radicals, which step terminates the chain?

    • A. Cl₂ → 2Cl•
    • B. CH₃• + Cl₂ → CH₃Cl + Cl•
    • C. Cl• + CH₄ → CH₃• + HCl
    • D. CH₃• + Cl• → CH₃Cl
  110. Q115. Propene reacts with hydrogen bromide in the presence of an organic peroxide. What is the major product?

    • A. Propan-1-ol
    • B. 1-Bromopropane
    • C. 1,2-Dibromopropane
    • D. 2-Bromopropane
  111. Q116. Ethyne reacts with an excess of hydrogen bromide. What is the final product?

    • A. Bromoethene
    • B. 1,2-Dibromoethane
    • C. 1,1-Dibromoethane
    • D. 1,1,2,2-Tetrabromoethane
  112. Q117. Benzene reacts with ethanoyl chloride in the presence of anhydrous aluminium chloride. What is the product?

    • A. Phenylethanone (acetophenone)
    • B. Toluene
    • C. Ethylbenzene
    • D. Benzoic acid
  113. Q118. Which reagent reacts with phenol but not with ethanol?

    • A. Ethanoic acid with H₂SO₄
    • B. Concentrated sulphuric acid
    • C. Sodium metal
    • D. Aqueous sodium hydroxide
  114. Q119. Ethanol is heated with excess concentrated H₂SO₄ at 140 °C with the alcohol in excess. What is the major product?

    • A. Ethene
    • B. Ethoxyethane
    • C. Ethyl hydrogensulphate only
    • D. Ethanal
  115. Q120. Which carbonyl compound gives a secondary alcohol when treated with a Grignard reagent, followed by hydrolysis?

    • A. Ethanoic acid
    • B. Ethanal
    • C. Methanal
    • D. Propanone
  116. Q121. Which aldehyde undergoes the Cannizzaro reaction with concentrated sodium hydroxide?

    • A. Propanal
    • B. Butanal
    • C. Ethanal
    • D. Benzaldehyde
  117. Q122. Trichloroethanoic acid is much stronger than ethanoic acid. Which factor explains this?

    • A. Chlorine forms strong hydrogen bonds with the water molecules
    • B. The C–Cl bond is weaker than the C–H bond and so breaks easily
    • C. The strongly electron-withdrawing chlorine atoms stabilise the carboxylate ion
    • D. Chlorine atoms increase electron density on the carboxyl group
  118. Q123. A triglyceride (fat) is boiled with aqueous sodium hydroxide. What are the products?

    • A. Ethanol and sodium carbonate salts
    • B. Glycerol and sodium salts of fatty acids
    • C. Glucose and sodium soap salts
    • D. Glycerol and free fatty acids
  119. Q124. Glucose is an aldohexose and fructose is a ketohexose, both with the formula C₆H₁₂O₆. How are they related?

    • A. They are chain isomers
    • B. They are geometrical isomers
    • C. They are functional group isomers
    • D. They are enantiomers
  120. Q125. A competitive inhibitor lowers the rate of an enzyme-catalysed reaction. Which statement is correct?

    • A. The inhibitor resembles the substrate, and a high substrate concentration can overcome the inhibition
    • B. The inhibitor binds permanently at a site far from the active site, so more substrate cannot help
    • C. The inhibitor denatures the enzyme irreversibly and so lowers the rate
    • D. The inhibitor raises the activation energy of the substrate by changing its shape
  121. Q126. Which polymer is produced by condensation polymerisation?

    • A. Polytetrafluoroethene
    • B. Nylon-6,6
    • C. Polyvinyl chloride
    • D. Polythene
  122. Q127. The radius of a sphere is measured as 2.0 cm with an uncertainty of ±0.1 cm. What is the percentage uncertainty in the volume calculated from this radius?

    • A. 15%
    • B. 10%
    • C. 5%
    • D. 7.5%
  123. Q128. Which of the following pairs of physical quantities has the same dimensions?

    • A. Pressure and momentum
    • B. Impulse and force
    • C. Power and energy
    • D. Torque and work (energy)
  124. Q129. Vectors A = 2i and B = i + √3 j are drawn from the same point. What is the angle between them?

    • A. 30°
    • B. 60°
    • C. 90°
    • D. 45°
  125. Q130. A stone is dropped from rest from a tall tower. How far does it fall during the third second of its motion? (g = 10 m s⁻²)

    • A. 45 m
    • B. 15 m
    • C. 35 m
    • D. 25 m
  126. Q131. A ball thrown at 45° to the horizontal lands on level ground 40 m from the launch point. What was its launch speed? (g = 10 m s⁻², air resistance ignored)

    • A. 10 m s⁻¹
    • B. 14 m s⁻¹
    • C. 40 m s⁻¹
    • D. 20 m s⁻¹
  127. Q132. Masses of 3 kg and 2 kg hang from the ends of a light string passing over a smooth, light pulley. What is the tension in the string once they are released? (g = 10 m s⁻²)

    • A. 20 N
    • B. 24 N
    • C. 30 N
    • D. 12 N
  128. Q133. A 0.2 kg ball hits a wall at 10 m s⁻¹ and rebounds along the same line at 6 m s⁻¹. The contact lasts 0.01 s. What is the magnitude of the average force on the ball?

    • A. 20 N
    • B. 160 N
    • C. 320 N
    • D. 80 N
  129. Q134. A bucket of water is whirled in a vertical circle of radius 0.9 m. What is the minimum speed at the top of the circle for the water not to spill? (g = 10 m s⁻²)

    • A. 9 m s⁻¹
    • B. √2 m s⁻¹
    • C. 1.5 m s⁻¹
    • D. 3 m s⁻¹
  130. Q135. A skater spinning with arms outstretched pulls them in, halving her moment of inertia. With no external torque, how does her rotational kinetic energy change?

    • A. It stays the same
    • B. It halves
    • C. It doubles
    • D. It becomes four times greater
  131. Q136. A body weighs 60 N at the Earth's surface. What is its weight at a height equal to the Earth's radius above the surface?

    • A. 30 N
    • B. 20 N
    • C. 7.5 N
    • D. 15 N
  132. Q137. A spring of force constant 500 N m⁻¹ is already stretched by 2 cm. How much additional work is needed to stretch it to 4 cm?

    • A. 0.20 J
    • B. 0.10 J
    • C. 0.40 J
    • D. 0.30 J
  133. Q138. A car travelling at 72 km h⁻¹ stops in 40 m when its brakes apply a constant retarding force. Under the same braking force, what is its stopping distance from 36 km h⁻¹?

    • A. 20 m
    • B. 10 m
    • C. 5 m
    • D. 30 m
  134. Q139. A metal sphere of volume 200 cm³ weighs 5.4 N in air. What is its apparent weight when it is completely submerged in water? (density of water = 1000 kg m⁻³, g = 10 m s⁻²)

    • A. 7.4 N
    • B. 3.4 N
    • C. 2.0 N
    • D. 5.2 N
  135. Q140. How does the coefficient of viscosity change when a liquid and a gas are each heated?

    • A. It decreases for the liquid and increases for the gas
    • B. It increases for both
    • C. It decreases for both
    • D. It increases for the liquid and decreases for the gas
  136. Q141. A travelling wave is described by y = 0.02 sin(4πx − 200πt), with x and y in metres and t in seconds. What is its speed?

    • A. 50 m s⁻¹
    • B. 100 m s⁻¹
    • C. 200π m s⁻¹
    • D. 0.02 m s⁻¹
  137. Q142. What length must a simple pendulum have to beat seconds, i.e. to have a time period of 2 s? (take g = π² m s⁻²)

    • A. 2.0 m
    • B. 0.5 m
    • C. 1.0 m
    • D. 0.25 m
  138. Q143. A stretched wire vibrates in its fundamental mode at 200 Hz. Its length is unchanged and the tension is increased by 21%. What is the new fundamental frequency?

    • A. 220 Hz
    • B. 242 Hz
    • C. 200 Hz
    • D. 210 Hz
  139. Q144. Using the convention in which real distances are positive, a convex mirror has a focal length of −20 cm. An object is placed 20 cm in front of it. Where is the image?

    • A. At infinity
    • B. 10 cm behind the mirror (virtual)
    • C. 10 cm in front of the mirror (real)
    • D. 20 cm behind the mirror (virtual)
  140. Q145. A simple magnifying glass has a focal length of 5 cm. Taking the near point as 25 cm, what is its angular magnification when the final image is formed at the near point?

    • A. 6
    • B. 26
    • C. 5
    • D. 4
  141. Q146. Unpolarised light is reflected from glass of refractive index √3. At what angle of incidence is the reflected light completely plane polarised?

    • A. 45°
    • B. 60°
    • C. 90°
    • D. 30°
  142. Q147. 200 g of water at 80 °C is mixed with 300 g of water at 20 °C in an insulated container. What is the final temperature?

    • A. 56 °C
    • B. 40 °C
    • C. 44 °C
    • D. 50 °C
  143. Q148. A refrigerator operates ideally (reversibly) between an interior at 270 K and a room at 300 K. What is its coefficient of performance?

    • A. 0.9
    • B. 10
    • C. 9
    • D. 0.1
  144. Q149. An ideal gas expands isothermally while in contact with a heat reservoir. What is true of the heat absorbed by the gas?

    • A. It equals the work done by the gas
    • B. It equals the increase in internal energy of the gas
    • C. It is zero
    • D. It equals the work done on the gas by the surroundings
  145. Q150. A point charge of 6 nC is fixed in air. How much work is needed to bring a 2 nC charge from infinity to a point 0.30 m from it? (k = 9 × 10⁹ N m² C⁻²)

    • A. 1.1 × 10⁻⁶ J
    • B. 1.2 × 10⁻⁷ J
    • C. 3.6 × 10⁻⁷ J
    • D. 3.6 × 10⁻⁶ J
  146. Q151. A 5 μF parallel-plate capacitor is connected to a 12 V battery. A dielectric slab of constant 4 completely fills the gap while the battery stays connected. What is the final charge on the capacitor?

    • A. 15 μC
    • B. 240 μC
    • C. 48 μC
    • D. 60 μC
  147. Q152. A conducting sphere of radius 10 cm carries a charge of 4 nC. What is the magnitude of the electric field just outside its surface? (k = 9 × 10⁹ N m² C⁻²)

    • A. 3600 N C⁻¹
    • B. 360 N C⁻¹
    • C. 36 000 N C⁻¹
    • D. 0 N C⁻¹
  148. Q153. A heater coil dissipates 800 W when connected to a fixed-voltage supply. The coil is cut to half its length and one half is connected to the same supply. What power does it now dissipate?

    • A. 400 W
    • B. 800 W
    • C. 3200 W
    • D. 1600 W
  149. Q154. A copper coil has resistance 10 Ω at 0 °C. Taking the temperature coefficient of resistance as 4 × 10⁻³ °C⁻¹, what is its resistance at 100 °C?

    • A. 40 Ω
    • B. 4 Ω
    • C. 10.4 Ω
    • D. 14 Ω
  150. Q155. A 12 V battery of internal resistance 0.5 Ω is being charged by a current of 4 A. What is the potential difference across its terminals?

    • A. 12.5 V
    • B. 14 V
    • C. 10 V
    • D. 12 V
  151. Q156. A proton moving at 2.0 × 10⁶ m s⁻¹ enters a uniform magnetic field of 0.20 T at right angles to the field. What is the radius of its circular path? (m = 1.67 × 10⁻²⁷ kg, q = 1.6 × 10⁻¹⁹ C)

    • A. 1.0 cm
    • B. 2.1 m
    • C. 10 cm
    • D. 0.50 m
  152. Q157. A 200-turn coil is linked with a magnetic flux that falls uniformly from 0.05 Wb to 0.01 Wb in 0.1 s. What emf is induced in the coil?

    • A. 80 V
    • B. 8 V
    • C. 16 V
    • D. 0.4 V
  153. Q158. The north pole of a bar magnet is moved towards a coil. How does the face of the coil nearest the magnet behave, according to Lenz's law?

    • A. It becomes a south pole and attracts the approaching magnet
    • B. It becomes a north pole and attracts the approaching magnet
    • C. It stays magnetically neutral
    • D. It becomes a north pole and repels the approaching magnet
  154. Q159. Both inputs of a NAND gate are connected together to a single input A. What does this arrangement act as?

    • A. An OR gate
    • B. An AND gate
    • C. A NOT gate
    • D. A buffer that repeats A
  155. Q160. Light of wavelength 200 nm falls on a metal of work function 4.2 eV. What is the stopping potential? (hc = 1240 eV nm)

    • A. 2.0 V
    • B. 1.5 V
    • C. 4.2 V
    • D. 6.2 V
  156. Q161. A radioactive isotope has a decay constant of 0.0231 min⁻¹. What is its half-life? (ln 2 = 0.693)

    • A. 43 min
    • B. 0.016 min
    • C. 30 min
    • D. 60 min
  157. Q162. An X-ray tube operates at 40 kV. What is the shortest wavelength in its continuous X-ray spectrum? (hc = 1240 eV nm)

    • A. 0.0031 nm
    • B. 0.031 nm
    • C. 31 nm
    • D. 0.31 nm
  158. Q163. Choose the correct option: The train ___ by the time we reached the platform.

    • A. has already left
    • B. had already left
    • C. will already have left
    • D. is already leaving
  159. Q164. Choose the correct option: Had she studied harder, she ___ the examination.

    • A. would pass
    • B. had passed
    • C. would have passed
    • D. will pass
  160. Q165. Choose the word closest in meaning to FASTIDIOUS.

    • A. slow to learn
    • B. easy to anger
    • C. quick to forgive
    • D. hard to please
  161. Q166. Choose the word opposite in meaning to VERBOSE.

    • A. rambling
    • B. wordy
    • C. talkative
    • D. concise
  162. Q167. Identify the part of the sentence that contains an error: Hardly had he (A) / reached the station (B) / than the train (C) / departed (D).

    • A. B
    • B. D
    • C. A
    • D. C
  163. Q168. Choose the correctly written sentence.

    • A. The childrens' playground is closed today.
    • B. The children playground is closed today.
    • C. The children's playground is closed today.
    • D. The childrens playground is closed today.
  164. Q169. Choose the correct option: He is ___ honest man who holds ___ MBA from a reputed university.

    • A. an, a
    • B. the, a
    • C. a, an
    • D. an, an
  165. Q170. Choose the correct option: The patient recovered ___ pneumonia within a week.

    • A. of
    • B. from
    • C. against
    • D. with
  166. Q171. Choose the correct indirect speech of: He said, "I am tired."

    • A. He said that he was tired.
    • B. He said that I was tired.
    • C. He said that he had been tired now.
    • D. He said that he will be tired.
  167. Q172. Statements: Some doctors are researchers. All researchers are writers. Conclusions: I. Some doctors are writers. II. All writers are doctors. (Assume that every group named is non-empty.) Which option is correct?

    • A. Only conclusion II follows
    • B. Only conclusion I follows
    • C. Both I and II follow
    • D. Neither I nor II follows
  168. Q173. Statements: No bird is a mammal. All bats are mammals. Conclusions: I. No bat is a bird. II. Some birds are bats. (Assume that every group named is non-empty.) Which option is correct?

    • A. Only conclusion II follows
    • B. Only conclusion I follows
    • C. Both I and II follow
    • D. Neither I nor II follows
  169. Q174. Find the next number in the series: 1, 3, 7, 13, 21, ?

    • A. 35
    • B. 29
    • C. 33
    • D. 31
  170. Q175. Find the next letter in the series: Y, W, T, P, K, ?

    • A. E
    • B. D
    • C. G
    • D. F
  171. Q176. Six friends A, B, C, D, E and F sit around a circular table facing the centre. A and B are neighbours. C sits opposite B. D is not next to A. E sits next to B. Who sits opposite A?

    • A. D
    • B. C
    • C. E
    • D. F
  172. Q177. Five departments P, R, L, S and E occupy floors 1 to 5 of a building (1 is the ground floor, one department per floor). L is directly above S. R is below S. E is directly above R. P is not directly above L. Which department is on the top floor?

    • A. S
    • B. P
    • C. E
    • D. L
  173. Q178. Argument: "Hospital X should adopt the scheduling software, because it reduced waiting times at Hospital Y." Which assumption does the argument rest on?

    • A. Hospital X is similar enough to Hospital Y for the software to have the same effect
    • B. Hospital Y is a much larger hospital than Hospital X
    • C. Waiting time is the only measure of the quality of a hospital
    • D. The software is supplied to every hospital free of charge
  174. Q179. Read the three statements. A: Sales of umbrellas rose sharply in a city in August. B: Sales of raincoats rose sharply in the same city in August. C: The city had unusually heavy monsoon rain throughout August. Which is most likely?

    • A. C is the effect of A and B together
    • B. A is the cause and B is its effect
    • C. A and B are both effects of C
    • D. B is the cause and A is its effect
  175. Q180. A man faces east, turns 90° clockwise and then 180° anticlockwise. Which direction does he face now?

    • A. West
    • B. North
    • C. East
    • D. South