Custom Practice Test - 18-Aug (2024)

Physics-Section-A

1.

A body of mass M is dropped from a height hon a sand floor. If the body penetrates x m intothe sand, the average resistance offered by thesand to the body is
1. $Mg\left(\frac{h}{x}\right)$
2. $Mg\left(1+\frac{h}{x}\right)$
3. $Mgh+Mgx$
4.$Mg\left(1+\frac{h}{x}\right)$

2.

An ideal gas is taken through a cycle A$\to$B$\to$C$\to$A. If the net heat supplied to the gas in the cycle is 5J, the work done by the gas is -
1. – 5J
2. – 10J
3. 5J
4. – 20J

3.

What displacement must be added to the displacement$25\hat{\mathrm{i}}-6\hat{\mathrm{j}}\mathrm{m}$ to give a displacement of$7.0\mathrm{m}$pointing in the x-direction?
(1)$18\hat{\mathrm{i}}-6\hat{\mathrm{j}}$
(2)$32\hat{\mathrm{i}}-13\hat{\mathrm{j}}$
(3)$-18\hat{\mathrm{i}}+6\hat{\mathrm{j}}$
(4)$-25\hat{\mathrm{i}}+13\hat{\mathrm{j}}$

4.

The two ends of a train moving with constant acceleration pass a certain point with velocities u and 3u. The velocity with which the middle point of the train passes the same point is
(1) 2u
(2)$\frac{3}{2}u$
(3)$\sqrt{5}u$
(4)$\sqrt{10}u$

5.

A solid cylinder of mass m and radius r is rolling with angular speed$\omega$on a horizontal plane. The magnitude of its angular momentum about origin O is

1.$m{r}^2\omega$
2. 1.5$m{r}^2\omega$
3. 2$m{r}^2\omega$
4. 2.5$m{r}^2\omega$

6.

Which of the following represents a volt:
(1) Joule/second
(2) Watt/Ampere
(3) Watt/Coulomb
(4) Coulomb/Joule

7.

A large number of water drops each of radius r combines to have a drop of radius R. If the surface tension is T and the mechanical equivalent of heat is J, then the rise in temperature will be
(1)$\frac{2\mathrm{T}}{\mathrm{rJ}}$
(2)$\frac{3\mathrm{T}}{\mathrm{RJ}}$
(3)$\frac{3\mathrm{T}}{\mathrm{J}}\left(\frac{1}{r}-\frac{1}{R}\right)$
(4)$\frac{2\mathrm{T}}{\mathrm{J}}\left(\frac{1}{r}-\frac{1}{R}\right)$

8.

A body is projected with velocity u at an angle$\theta$with horizontal from a moving cart then path of the body appears to be

9.

A gas at 27°C temperature and 30 atmospheric pressure is allowed to expand to the atmospheric pressure. If the volume becomes 10 times its initial volume, then the final temperature becomes
1. 100°C
2. 173°C
3. 273°C
4. – 173°C

10.

An experiment took 10 minutes to raise the temperature of water for 0°C to 100°C and another 55 minutes to convert it totally into steam by a stabilized heater. The latent heat of vaporization comes out to be
(1) 530 cal/g
(2) 540 cal/g
(3) 550 cal/g
(4) 560 cal/g

11.

Starting from the centre of the earth having radius R, the variation of g (acceleration due to gravity) is shown by:
(a)
(b)
(c)
(d)

12.

The acceleration of a particle performing SHM is$12\mathrm{cm}{\sec }^{-2}$at a distance of 3 cm from the mean position. Its time period is:
1. 2.0s
2. 3.14s
3. 0.5s
4. 1.0s

13.

The 9 kg block is moving to the right with a velocity of 0.6 m/s on a horizontal surface when a force F, whose time variation is shown in the graph, is applied to it at time t=0. Calculate the velocity v of the block when t=0.4s. The coefficient of kinetic friction is${\mathrm{\mu }}_{\mathrm{k}}=0.3.$

1. 0.6 m/s
2. 1.2 m/s
3. 1.8 m/s
4. 2.4 m/s

14.

Young's modulus of perfectly rigid body material is
1. Infinite
2. Zero
3. $10\mathrm{x}{10}^{10}{\mathrm{Nm}}^{-2}$
4. $1\mathrm{x}{10}^{10}{\mathrm{Nm}}^{-2}$

Physics-Section-B

15.

The tension in the string revolving in a vertical circle with a mass m at the end which is at the lowest position
(1) $\frac{m{v}^2}{r}$
(2) $\frac{m{v}^2}{r}-mg$
(3) $\frac{m{v}^2}{r}+mg$
(4) mg

16.

A can filled with water is revolved in a vertical circle of radius 4 m and the water does not fall down. The time period for a revolution is about
1. 2 s
2. 4 s
3. 8 s
4. 10 s

17.

A force F is given by F = at + bt², where t is time. What are the dimensions of a and b:
(1) $ML{T}^{-3}$ and $M{L}^2{T}^{-4}$
(2) $ML{T}^{-3}$ and $ML{T}^{-4}$
(3) $ML{T}^{-1}$ and $ML{T}^0$
(4) $ML{T}^{-4}$ and $ML{T}^1$

18.

Velocity of a particle changes when
(1) Direction of velocity changes
(2) Magnitude of velocity changes
(3) Both of above
(4) None of the above

19.

A body of mass m hangs at one end of a string of length l, the other end of which is fixed. It is given a horizontal velocity so that the string would just reach where it makes an angle of 60° with the vertical. The tension in the string at mean position is
(1) 2 mg
(2) mg
(3) 3 mg
(4) $\sqrt{3}mg$

20. If the curve between pressure \(P\)and volume \(V\) is a straight line, write the relation between \(P\) and \(V\):

1.\(2P_0 - \frac{P_0V}{V_0}\)
2.\(3P_0 - \frac{P_0V}{V_0}\)
3.\(P_0 - \frac{P_0V}{V_0}\)
4.\(4P_0 - \frac{P_0V}{V_0}\)

Chemistry-Section-A

21.

Which of the following leads to bonding orbital?

1.		2.
3.		4.

22.

A mixture of carbon monoxide and carbon dioxide is found to have a density of 1.7 g/L at S.T.P. The mole fraction of carbon monoxide is-
1. 0.37
2. 0.40
3. 0.30
4. 0.50

23.

What would you observe if excess of dilute NaOH solution is added and shaken with an aqueous solution of aluminium chloride?
1. A permanent white precipitate is formed immediately
2. No change at first but a white precipitate is formed on standing
3. A white precipitate is formed which later dissolves
4. A green precipitate which turns red on standing in air

24.

The equilibrium constant of${\mathrm{NH}}_4^{+}$to NH₃and H⁺is 10^-10. The rate constant for${\mathrm{NH}}_4^{+}+{\mathrm{OH}}^{-}\to {\mathrm{NH}}_3+{\mathrm{H}}_2\mathrm{O}$is 10¹⁰. The rate constant for${\mathrm{NH}}_3+{\mathrm{H}}_2\mathrm{O}\to {\mathrm{NH}}_4^{+}+{\mathrm{OH}}^{-}$is:
1.${10}^5$
2.${10}^{20}$
3.${10}^8$
4.${10}^9$

25.

Reductive ozonolysis of the alkene,${\mathrm{CH}}_3-\mathrm{CH}=\mathrm{C}={\mathrm{CH}}_2$will give:
1. Only${\mathrm{CO}}_2$
2. Only${\mathrm{CH}}_2\mathrm{O}$
3. Only${\mathrm{CH}}_3-\mathrm{CHO}$
4. Mixture of${\mathrm{CH}}_3\mathrm{CHO},\mathrm{HCHO}\mathrm{and}{\mathrm{CO}}_2$

26.

In the reaction,
${\mathrm{CH}}_3\mathrm{CHO}+\mathrm{HCN}\to {\mathrm{CH}}_3\mathrm{CH}\left(\mathrm{OH}\right)\mathrm{CN}$
a chiral centre is produced. This product would be
1. racemic mixture
2. meso compound
3. dextrorotatory
4. laevorotatory

27.

For a subatomic particle, the uncertainty in position is same as that of uncertainty in its momentum. The
least uncertainty in its velocity can be given as-
1.$∆\mathrm{V}=\frac{\mathrm{h}}{4{\mathrm{\pi m}}^2}$
2.$∆\mathrm{V}=\frac{1}{2\mathrm{\pi }}\sqrt{\frac{\mathrm{h}}{\mathrm{m}}}$
3.$∆\mathrm{V}=\frac{\mathrm{h}}{2\mathrm{\pi m}}$
4.$∆\mathrm{V}=\frac{1}{2\mathrm{m}}\sqrt{\frac{\mathrm{h}}{\mathrm{\pi }}}$

28.

To which group does the element named ununtrium (Uut) belong according to the IUPAC naming convention?
1. s-block element
2. p-block element
3. d-block element
4. Actinoids

29.

Biosphere refers to
(1) Plants of the world
(2) Special plants
(3) Area occupied by living beings
(4) Plants of a particular area

30.

It is found that v forms a double salt isomorphous with Mohr's salt. The oxidation number of V in this compound is:
1. +3
2. +2
3. +4
4. -4

31.

A gas expands against a variable pressure given by P = 20/V (where P in atm and V in L). During expansion from the volume of 1 liter to 10 liters, the gas undergoes a change in internal energy of 400 J. How much heat is absorbed by the gas during expansion?
1. 46 J
2. 4660 J
3. 5065.8 J
4. 4260 J

32.

H₂O₂ restores the colour of old lead paintings by:
1. Converting PbO₂ to Pb
2. Oxidising PbS to PbSO₄
3. Converting PbCO₃ to Pb
4. Oxidizing PbSO₃ to PbSO₄

33.

Litharge is not commonly used in:
1. manufacture of special glasses
2. glazing pottery
3. preparing paints
4. lead storage battery

34.

At STP the moles of oxygen atoms in 2.8 L of CO₂ gas is:-
1. 0.125
2. 0.25
3. 0.5
4. 1

Chemistry-Section-B

35.

The number of electrons in the valence shell of calcium is
1. 6
2. 8
3. 2
4. 4

36.

In II period most acidic oxide is formed by:
1. F
2. N
3. Zn
4. Li

37.

The partial pressure of a dry gas is:
1. less than that of wet gas
2. greater than that of wet gas
3. equal to that of wet gas
4. none of the above

38.

In the reaction at 300 K
H₂(g) + Cl₂(g)$\to$2HCl(g) $∆\mathrm{H}°$= -185 kJ
if 2 mol of H₂ completely react with 2 mole of Cl₂ to form HCl. What is$∆\mathrm{U}°$for this reaction?
(1) 0
(2) -185 kJ
(3) -370 kJ
(4) None of these

39.

Which one of the following is planar ?
1. XeF₄
2. XeO₄
3. XeO₃
4. XeO₃F₂

40.

How much oxygen gas (O₂) at standard temperature (0°C) and pressure (1 atm) is required to completely combust 1 liter of propane gas (C₃H₈) under the same conditions?
1. 7L
2. 6L
3. 5L
4. 10L

Biology-I-Section-A

41.

The PGRs of the other group which play an important role in plant growth inhibiting activities is not
1.Ethylene
2.ABA
3.GA
4.All of these

42.

Identify the possible link A in the following food chain
Green plant -> Insect -> Frog -> A -> Eagle
1. rabbit
2. wolf
3. cobra
4. parrot

43.

Degree of endemism and habitat loss determines the ______
1. Hot spots
2. National Park
3. Wildlife Sanctuaries
4. Biosphere reserve

44.

In the mitochondrial electron transport system, the term Complex III refers to:
1. NADH dehydrogenase
2. Cytochrome c
3. FADH₂
4. Cytochrome bc₁ complex

45. If you draw the age pyramid for a population that is expanding in size, you would expect that:

46.

Biochemical oxygen demand is

(1) Directly proportional to Biodegradable organic matter
(2) Inversely proportional to Biodegradable organic matter
(3) Depends on direction of flow
(4) Directly proportional to dissolved oxygen

47.

A	B	C

Identify gametes (A, B and C) respectively:
(1) Heterogametes, isogametes, hom*ogametes
(2) Isogametes, hom*ogametes, heterogametes
(3) hom*ogametes, isogametes, heterogametes
(4) hom*o / Isogametes, heterogametes, heterogametes

48.

Which part would be most suitable for raising virus-free plants for micropropagation?

49.

Nodule formation is a result of

(1) Division and growth of cortical cells
(2) Division and growth of pericycle cells
(3) Division and growth of endodermal cells
(4) Both A and B

50.

Cleistogamy is leadingover anthesis because
(1) pollination agent is not required
(2) it assures heterozygosity
(3) it favours insect pollination
(4) it allows xenogamy

51.

The natural aging of a lake by nutrient enrichment of its water is called

(1) Biomagnification
(2) Eutrophication
(3) Biopiracy
(4) Biosystematics

52.

The---------- acceptor of -------- which is located------- side of membrane transfers its electron not to an electron carrier but to a ----------. Fill in the blank according to causes of proton gradient in photosynthesis.
a. Primary, proton, outer, proton carrier
b. Primary, electron, outer, proton carrier
c. Terminal, proton, outer, proton carrier
d. Primary, electron, inner, Hydrogen carrier

53.

Which one of the following is the startcodon?
(1) UGA
(2) UAA
(3) UAG
(4) AUG

54.

Which of the following genotype express gametes?
(1) TtRrAa
(2) TtRA
(3) ATRr
(4) NMLr

Biology-I-Section-B

55.

Ribosomes are produced in
1. Nucleolus
2. Mitochondria
3. Cytoplasm
4. Golgibody

56.

In conjoint type vascular bundle xylem and phloem are present on _________ radii and & phloem is located on the __________side of the xylem.
1. same and outer
2. same and inner
3. different and inner
4. different and outer

57.
Given below are two statements:

58.

Placenta of Lily family is with

(1) Many ovules
(2) Axile placentation
(3) Endospermous seed after fertilisation
(4) All of these

59.

Moss peat is used as a packing material for sending flowers and live plants to distant places because:
(1) it is easily available
(2) it is hygroscopic
(3) it reduces transpiration
(4) it serves as a disinfectant

60.

The taxon which includes related species is
(1) class
(2) order
(3) family
(4) genus

Biology-II-Section-A

61.

Which of the following option is completely permeable to water and impermeable to electrolytes?
1.Descending limb of the loop of Henle
2.Ascending limb of loop of Henle
3.Loop of Henle
4.DCT

62.

The main enzymes present in the gastric juice are
(1) Trypsin, pepsin and lipase
(2) Pepsin, amylase and trypsin
(3) Pepsin, rennin and carboxypeptidase
(4) Pepsin, lipase and rennin

63.

How many of the statements given below are correct?
I. During inspiration the diaphragm moves upward while the thorax expands and moves outward.
II. The anatomical dead space represents the air that is trapped in the alveoli and is around 150mL.
III. Decreasing blood oxygen and increasing carbon dioxide cause the major increases seen in breathing rate during strenuous exercise.
IV. Oxygen dissociates faster from hemoglobin during exercise.
V. Increased pH shifts oxyHb-dissociation curve to the right.
1. 2
2. 3
3. 4
4. 5

64. Which of the following parts of meromyosin projects outward from the surface of a polymerized myosin filament?
1. Only head
2. Only short arm
3. Tail
4. Cross arm

65. Which of the following statements is incorrect w.r.t. amniocentesis?

66.

The thread like tendons of papillary muscles inserted upon the flaps of tricuspid and bicuspid valves are
(1) chordae tendinae
(2) yellow elastin fibres
(3) reticulate fibres
(4) collagen fibres

67.

Regulation of sexual behaviour and motivation is not under the control of which of the following brain part?

(1) Limbic lobe
(2) Hypothalamus
(3) Pons
(4) Both A and C

68.

All of the following are nucleosides, except:

69.

What is correct to say about the hormone action in humans?
1. Glucagon is secreted by$\mathrm{\beta }$-cells of islets of Langerhans and stimulates glycogenolysis
2. Secretion of thymosine is stimulated with ageing.
3. In females, FSH first binds with specific receptors on ovarian cell membrane
4. FSH stimulates the secretion of oestrogen and progesterone

70.

RNAi is a mechanism to silence genes with the help of :

71.

Which of the following processes is not associated with the protein produced by recombinant DNA?
1. Restriction Digestion
2. Expression
3. Optimization
4. Purification

72.

Which one of the following is not correctly matched?
1. Aedes aegypti - Yellow fever
2. Anopheles culifacies - Leismaniasis
3. Glossina palpalis - Sleeping sickness
4. Culex pipiens - Filariasis

73.

Identify the incorrect statement:

74.

A human male is generally considered sterile if his ejacul*tion contains less than
1. 100,000,000 sperm
2. 20,000,000 sperm
3. 100,000 sperm
4. 1,000 sperm

Biology-II-Section-B

75.

In the given diagram of areolar tissue, identify a phagocytic cell :

1. A
2. B
3. C
4. D

76.

Which of the following is not a polymer?
1. Nucleic acid
2. proteins
3. lipids
4. Carbohydrates

77.

A patient of emphysema is unlikely to have:
1. An increase in carbon dioxide levels in blood
2. A decrease in oxygen levels in the blood
3. An increase in RBC count
4. A decrease in breathing rate

78.

Mark wrong statement with respect to cyclostomata
1. All living members are ectoparasites
2. Mouth is circular and suctorial without jaws
3. Body covered by scales
4. Circulation is of closed type

79. Select the correct statement

80.

Pancreatic nucleases are activated by-

(1) Enterokinase
(2) Trypsinogen
(3) Trypsin
(4) Enteropeptide

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