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TRE3 — Language General Studies And Mathematics And Science

· Set E

GS: Hindi / English · Language questions stay in their original language.

Instructions

150 questions · 150 marks · 2 hours 30 minutes

Choose one option per question.

Tap an option to check it, or open “See answer”.

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Question 101
If a line segment is divided in the ratio 3 : 7, how many parts does it contain while constructing the point of division?
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Correct answer: (C) 10
To divide a segment in the ratio 3 : 7 one marks 3 + 7 = 10 equal parts on it.

1 marks · 2024 · Set E
Question 102
If PA and PB are tangents to a circle with centre O such that angle APB = 50°, then angle OAB =
See answer

Correct answer: (D) 25°
With ∠APB = 50°, ∠AOB = 180° − 50° = 130°. In triangle OAB, OA = OB, so ∠OAB = (180° − 130°) ÷ 2 = 25°.

1 marks · 2024 · Set E
Question 103
A tank is made in the shape of a cylinder with a hemispherical depression at one end. The cylinder’s height is 1.45 m and radius is 30 cm. The total surface area of the tank is
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Correct answer: (A) 3.3 m²
The surface area of the tank = the curved surface of the cylinder + that of the hemisphere = 2πrh + 2πr². Putting r = 0·3 m and h = 1·45 m gives about 3·3 m².

1 marks · 2024 · Set E
Question 104
If n is a natural number, then 6ⁿ − 5ⁿ always ends with
See answer

Correct answer: (D) 1
Every power of 6 ends in 6 and every power of 5 ends in 5, so 6ⁿ − 5ⁿ always ends in 1.

1 marks · 2024 · Set E
Question 105
The pair of equations x = a and y = b graphically represents lines which are
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Correct answer: (E) None of these
x = a is a vertical line and y = b a horizontal one, so they meet at (a, b)—not at (b, a). None of the options is correct.

1 marks · 2024 · Set E
Question 106
In a cricket match, a batsman hits the boundary 8 times out of 40 balls he plays. Find the probability that he did not hit the boundary.
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Correct answer: (D) 4/5
He hit the boundary off 8 of the 40 balls, so not off 32 of them. The probability = 32/40 = 4/5.

1 marks · 2024 · Set E
Question 107
यदि tan A = cot(30° + A), तो A =
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Correct answer: (A) 30°
tan A = cot(30° + A) means A + (30° + A) = 90°, so 2A = 60° and A = 30°.

1 marks · 2024 · Set E
Question 108
For a given data with 50 observations, the ‘less than ogive’ and ‘more than ogive’ intersect at (15.5, 20). The median of the data is
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Correct answer: (C) 15.5
The x-coordinate of the point where the ‘less than’ and ‘more than’ ogives cross is the median—here 15·5.

1 marks · 2024 · Set E
Question 109
The probability that a non-leap year has 53 Sundays is
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Correct answer: (C) 1/7
An ordinary year has 365 days—52 weeks and one day over. That day may be any of the seven, so the probability of 53 Sundays is 1/7.

1 marks · 2024 · Set E
Question 110
From the top of a cliff 25 m high, the angle of elevation of a tower is equal to the angle of depression of the foot of the tower. The height of the tower is
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Correct answer: (A) 50 m
The angles of elevation and depression being equal, the top of the tower is as far above the cliff as its foot is below—that is 25 m. The whole height = 25 + 25 = 50 m.

1 marks · 2024 · Set E
Question 111
The force required to maintain an object at a constant velocity is
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Correct answer: (A) Frictional force
The force applied to keep an object at a constant velocity only balances the frictional force; the net force stays zero.

1 marks · 2024 · Set E
Question 112
Which of the following is an unsaturated hydrocarbon?
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Correct answer: (C) Ethene
Ethene (C₂H₄) has a double bond between its carbons, so it is an unsaturated hydrocarbon. Methane and ethane have only single bonds.

1 marks · 2024 · Set E
Question 113
The membrane surrounding the cell is called
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Correct answer: (B) Plasma membrane
The membrane surrounding the cell is the plasma membrane. The cell wall is found only in plant cells, outside it.

1 marks · 2024 · Set E
Question 114
The study of the inheritance of traits in humans is called
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Correct answer: (E) None of the above
The study of the inheritance of traits is called genetics. ‘Heredity’ is the phenomenon itself, not the branch of study—so none of the options is correct.

1 marks · 2024 · Set E
Question 115
A car covers a distance of 200 km in 4 hours. What is its average speed?
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Correct answer: (C) 50 km/h
Average speed = total distance ÷ total time = 200 ÷ 4 = 50 km/h.

1 marks · 2024 · Set E
Question 116
The breakdown of pyruvate to give carbon dioxide, water and energy takes place in
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Correct answer: (B) Mitochondria
The breakdown of pyruvate into carbon dioxide, water and energy happens in the mitochondria, which is why they are called the powerhouse of the cell.

1 marks · 2024 · Set E
Question 117
Which subatomic particle has negligible mass?
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Correct answer: (C) Electron
The electron's mass is about 1/1836 of a proton's or a neutron's, so it is taken as negligible.

1 marks · 2024 · Set E
Question 118
The speed of sound is maximum in which of the following?
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Correct answer: (B) Steel
Sound travels fastest in a solid, where the particles are close together and strongly bound—so its speed is greatest in steel.

1 marks · 2024 · Set E
Question 119
Food cans are coated with tin and not with zinc because
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Correct answer: (B) Zinc is more reactive than tin
Zinc is more reactive than tin and can react with the acids in food, so the less reactive tin makes the safer coating.

1 marks · 2024 · Set E
Question 120
What happens to the gravitational force between two objects if the distance between them is doubled?
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Correct answer: (A) It becomes one-fourth
The gravitational force is inversely proportional to the square of the distance, so doubling the distance leaves it one-fourth.

1 marks · 2024 · Set E
Question 121
Which of the following are environment-friendly practices?
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Correct answer: (D) More than one of the above
Saving electricity, walking, and carrying a cloth bag are all environment-friendly habits, so the answer is ‘more than one’.

1 marks · 2024 · Set E
Question 122
Butanone is a four-carbon compound with the functional group
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Correct answer: (B) Ketone
The ending ‘-one’ in butanone shows that it holds the ketone group.

1 marks · 2024 · Set E
Question 123
What is the function of meristematic tissue in plants?
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Correct answer: (B) Growth
The cells of the meristematic tissue keep dividing, so its work is the growth of the plant.

1 marks · 2024 · Set E
Question 124
What work must be done to increase a car’s velocity from 30 km h⁻¹ to 60 km h⁻¹ if its mass is 1500 kg?
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Correct answer: (A) 156250 J
30 km/h = 25/3 m/s and 60 km/h = 50/3 m/s. The work done = the change in kinetic energy = ½ × 1500 × [(50/3)² − (25/3)²] = 156250 J.

1 marks · 2024 · Set E
Question 125
Lichens are sensitive to which air pollutant?
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Correct answer: (C) Sulphur dioxide
Lichens are very sensitive to sulphur dioxide and vanish from polluted areas, which is why they are called its biological indicator.

1 marks · 2024 · Set E
Question 126
In which of the following spheres does weather phenomenon occur?
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Correct answer: (A) Troposphere
All the happenings of weather—cloud, rain, storm—take place in the troposphere, since the water vapour and the dust are there.

1 marks · 2024 · Set E
Question 127
The gap between two neurons is called
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Correct answer: (A) Synapse
The gap between two nerve cells is called a synapse, where the impulse is carried across by chemicals.

1 marks · 2024 · Set E
Question 128
Which of the following represents the correct electronic configuration of nitrogen?
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Correct answer: (C) 2, 5
Nitrogen's atomic number is 7, so its configuration is 2, 5.

1 marks · 2024 · Set E
Question 129
Which of the following constitutes a food chain?
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Correct answer: (A) Grass, goat and human
In a food chain the energy passes from one level to the next—grass, goat and human come in just that order. In the other options all the living things stand at the same level.

1 marks · 2024 · Set E
Question 130
The magnetic field lines around a straight current-carrying conductor are
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Correct answer: (C) Concentric circles
Round a straight current-carrying wire the magnetic field lines form concentric circles, with their centre on the wire.

1 marks · 2024 · Set E
Question 131
What happens when dilute hydrochloric acid is added to iron filings?
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Correct answer: (C) Hydrogen gas and iron chloride are produced
Dilute hydrochloric acid reacts with iron filings to give ferrous chloride and hydrogen gas.

1 marks · 2024 · Set E
Question 132
The kidneys in human beings are part of the system for
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Correct answer: (A) Excretion
The kidneys filter nitrogenous waste out of the blood and make urine, so they belong to the system of excretion.

1 marks · 2024 · Set E
Question 133
Which of the following terms does not represent electrical power in a circuit?
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Correct answer: (A) IR²
Electrical power is written as VI, I²R or V²/R. ‘IR²’ is none of these, so it does not represent power.

1 marks · 2024 · Set E
Question 134
Which of the following is not a characteristic of solids?
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Correct answer: (A) Ability to flow easily
It is a mark of a solid that it does not flow—flowing belongs to liquids and gases. The other two are properties of solids.

1 marks · 2024 · Set E
Question 135
The phenomenon due to which the sky appears blue is
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Correct answer: (C) Scattering
The fine particles of the atmosphere scatter blue light more, since its wavelength is shorter—which is why the sky looks blue.

1 marks · 2024 · Set E
Question 136
Starting from rest, Rahul pedals his bicycle to attain a velocity of 6 m s⁻¹ in 30 s. He then applies brakes so that its velocity decreases to 4 m s⁻¹ in the next 5 s. Calculate the acceleration in both cases.
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Correct answer: (A) 0.2 m s⁻² and −0.4 m s⁻²
In the first part the acceleration = (6 − 0) ÷ 30 = 0·2 m s⁻². In the second, (4 − 6) ÷ 5 = −0·4 m s⁻², the minus sign showing retardation.

1 marks · 2024 · Set E
Question 137
Which of the following statements about permanent tissues is correct?
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Correct answer: (C) They lose the ability to divide
The cells of a permanent tissue are formed from the meristem and then set into a particular work, losing the power to divide.

1 marks · 2024 · Set E
Question 138
Which of the following is a characteristic property of acids?
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Correct answer: (B) Turn blue litmus paper red
It is a mark of an acid that it turns blue litmus red; bases turn red litmus blue, and an acid's pH is below 7.

1 marks · 2024 · Set E
Question 139
According to Newton’s second law of motion, the acceleration of an object is directly proportional to the
See answer

Correct answer: (D) More than one of the above
By Newton's second law a = F/m, so the acceleration is proportional to the force and also to the inverse of the mass—both statements hold.

1 marks · 2024 · Set E
Question 140
Which of the following is a plant hormone?
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Correct answer: (D) More than one of the above
Gibberellin, cytokinin and auxin are all plant hormones, so the answer is ‘more than one’.

1 marks · 2024 · Set E
Question 141
What is the process of changing a substance directly from solid to gas called?
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Correct answer: (B) Sublimation
A substance passing straight from solid to gas is said to sublime—as camphor or naphthalene does.

1 marks · 2024 · Set E
Question 142
The anther contains
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Correct answer: (B) Pollen grains
The pollen grains are formed in the anther. The ovules lie in the ovary.

1 marks · 2024 · Set E
Question 143
What is the common name of calcium hydroxide?
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Correct answer: (C) Slaked lime
Calcium hydroxide is called slaked lime. Its clear solution is lime water.

1 marks · 2024 · Set E
Question 144
Who discovered the cell for the first time?
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Correct answer: (C) Robert Hooke
Robert Hooke first saw cells in 1665, in a thin slice of cork, and gave them the name ‘cell’.

1 marks · 2024 · Set E
Question 145
The SI unit of work is
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Correct answer: (C) Joule
The SI unit of work is the joule. The newton is the unit of force and the watt of power.

1 marks · 2024 · Set E
Question 146
Which of the following is not a physical change?
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Correct answer: (A) Burning of coal
Burning coal makes new substances and leaves nothing as it was, so it is a chemical change. Salt dissolving and ice melting are physical changes.

1 marks · 2024 · Set E
Question 147
Which of the following is not a vector-borne disease?
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Correct answer: (B) Tuberculosis
Tuberculosis is spread through the air by a bacterium, not by any insect vector. Dengue and malaria are carried by mosquitoes.

1 marks · 2024 · Set E
Question 148
What happens when light enters a glass slab from air?
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Correct answer: (C) It bends towards the normal
Glass is denser than air, so light entering it bends towards the normal.

1 marks · 2024 · Set E
Question 149
Which of the following methods is suitable for preventing an iron frying pan from rusting?
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Correct answer: (C) Applying grease
Paint or a coating of zinc will not do for a frying pan, since it goes on the fire and food is cooked on it. So it is kept from rusting by greasing or oiling.

1 marks · 2024 · Set E
Question 150
The acceleration due to gravity on the surface of the Earth is approximately
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Correct answer: (D) More than one of the above
The acceleration due to gravity at the Earth's surface is 9·8 m/s², which is also taken as about 10 for ease of calculation—so more than one option is correct.

1 marks · 2024 · Set E
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