The Delhi Common Entrance Test (Delhi CET) 2019, organized by the Department of Training and Technical Education (DTTE), Government of NCT of Delhi, included Test 1, which was specifically designed for candidates seeking admission into full-time diploma programs in Engineering, Technology, and Occupational courses offered by various polytechnic institutions across Delhi.
The Delhi CET 2019 Test 1 was conducted in offline mode and consisted of 150 multiple-choice questions from Mathematics (50 questions), Physics (40), Chemistry (30), Biology (15), and English (15), with a total duration of 2 hours and 30 minutes; each correct answer awarded 4 marks, while 1 mark was deducted for every incorrect response.
Delhi CET Question Paper With Answer Key
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Mathematics
Question 1:
The area of the triangle with vertices \((0, 0)\), \((6, 0)\), and \((0, 5)\) is:
The value of \( p \) for which the points \((-5, 1)\), \((1, p)\), and \((4, -2)\) are collinear is:
If \((1 + Cos A)(1 - Cos A) = \frac{3}{4}\), then the value of Sec A is :
If \(tan \theta + \frac{1}{tan \theta} = 2\), then the value of \(tan^2 \theta + \frac{1}{tan^2 \theta}\) is:
\( \sin 2A = 2 \sin A \) is true when \( A \) is equal to:
If \(\sec(7^\circ - 2\alpha) = \csc(5\alpha - 7^\circ)\), then the value of \(\alpha\) is:
The angle of elevation of a 15 m high tower from a point 15 m away from its foot is:
If the angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower is \(30^\circ\), then the height of the tower is :
A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q So that OQ=12 cm, height PQ is :
If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of \(80^\circ\) in the fig, then \(\angle POA\) is equal to :
To draw a pair of tangents to a circle which are inclined to each other at an angle of \( 50^\circ \), it is required to draw tangents at end points of those two radii of the circle. What should be the angle between these two radii?
If the perimeter of a circle is equal to that of a square, then find the ratio of their areas.
The length of an arc of a circle of radius 12 cm is \(10\pi\). Find the central angle of this arc.
If a cone of height h and a sphere have same radii r and same volume, then r:h will be:
The empirical relationship among the three measures of central tendency (median, mode, and mean) is:
If the median of the series exceeds the mean by 3, then the number by which the mode exceeds its mean is:
A student observes the following spinner. What is the probability of obtaining the red colour.
Which of the following cannot be the probability of an event?
One card is drawn from a well-shuffled deck of 52 cards. The probability of getting a face card is:
A dice is thrown twice. The probability that 5 will not come up either time is:
An irrational number between 2 and 2.5 is:
The value of m for which \(\left[\left\{\left(\frac{1}{7^2}\right)^{-2}\right\}^{-\frac{1}{3}}\right]^{\frac{1}{4}} = 7^m\) is:
If \(\sqrt{13 - a\sqrt{10}} = \sqrt{8} + \sqrt{5}\) then a = .........
If \( \frac{a}{b} + \frac{b}{a} = 1 \), then \( a^3 + b^3 = \)
The value of \( \frac{(2.3)^3 - 0.027}{(2.3)^2 + 0.69 + 0.09} \) is:
If \((x^{140} + 2x^{151} + K)\) is divisible by \((x+1)\) then the value of K is :
If the graph of the equation \( 4x + 3y = 12 \) cuts the coordinate axes at \( A \) and \( B \), then the hypotenuse of right triangle \( \triangle AOB \) is of length:
Two points having the same abscissae but different ordinates lie on:
Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle is :
If one angle of a parallelogram is \(24^\circ\) less than twice the smallest angle, then the measure of the largest angle of the parallelogram is :
In figure, O is the centre of the circle such that \(\angle AOC=130^\circ\), then \(\angle ABC=\dots\dots\)
The sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is \(5\sqrt{5}\) cm. Its surface area is :
Vertical cross-section of a right circular cylinder is always a :
The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is :
If the ratio of mode and median of a certain data is \(6:5\), then find the ratio of its mean and median :
If \(\sqrt{2^n} = 1024\) then \(3^{2\left(\frac{n}{4}-1\right)} = \dots\dots\dots\)
If \(3x = a + b + c\), then the value of \([(x-a)^3+(x-b)^3+(x-c)^3-3(x-a)(x-b)(x-c)]\) is :
The percentage increase in the area of a triangle if its each side is doubled will be:
If \( \ell \) is the length of a diagonal of a cube of volume \( V \), then:
The algebraic sum of the deviations of a set of 'n' values from their mean is :
H.C.F. of 85 and 119 can be expressed in the form of \(85x-153\). Value of \(x\) is :
If \( \alpha \) and \( \beta \) are the zeros of the polynomial, such that \( \alpha + \beta = 6 \) and \( \alpha \beta = 4 \), then the quadratic polynomial is:
The value of \( k \) for which the equations \( 6x - 2y = 3 \) and \( kx - y = 2 \) have infinitely many solutions is:
If \(x^2-5x+1=0\), then \(\left(x+\frac{1}{x}\right)\) will be equal to :
The sum of first 5 multiples of 3 is :
If 2k, 3k-1, 8 are in A.P. Then the value of k is :
What is the sum of first n natural numbers ?
In a right triangle, the square of the hypotenuse is equal to the ………… of the square of the other two sides.
A ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall and its top reaches 6 m above the ground. Then the length of the ladder is:
If a line segment joining the points P and Q \((3, -4)\) is bisected at origin, then the coordinates of P are :
Physics
Question 51:
Electric current produces :
View Solution
Step 1: Analyze the effects of electric current.
Electric current is the flow of electric charge. When current flows through a conductor, it produces several effects.
Effect 1: Heating Effect of Electric Current (Joule Heating)
When electric current flows through a conductor, the moving electrons collide with the atoms or ions of the conductor. These collisions transfer kinetic energy to the atoms, causing them to vibrate more rapidly and leading to an increase in the temperature of the conductor. This phenomenon is known as the heating effect of electric current or Joule heating. Examples include electric heaters, incandescent light bulbs, and electric kettles.
Effect 2: Magnetic Effect of Electric Current
Danish physicist Hans Christian Ørsted discovered in 1820 that an electric current produces a magnetic field around the conductor. This means that a current-carrying wire behaves like a magnet and can deflect a compass needle. This effect is the basis for electromagnets, electric motors, generators, and many other electrical devices.
Step 3: Evaluate the options.
(1) Heating effect: This is a well-known effect of electric current (Joule heating).
(2) Magnetic effect: This is also a well-known effect of electric current (Ørsted's discovery).
(3) Both 1 & 2: Since electric current produces both heating and magnetic effects, this option is correct.
(4) None of the above: This is incorrect because both effects are produced.
Step 4: Conclude the answer.
Electric current produces both heating and magnetic effects.
(3) Both 1 & 2 Quick Tip: Electric current has several important effects. The heating effect (Joule heating) is due to the resistance of the conductor, while the magnetic effect (Ørsted's discovery) is fundamental to electromagnetism and the operation of motors and generators.
Which one is not true for magnetic field lines ?
At the time of short circuit, the current in the circuit is :
The device used for producing electric current is called:
The north and south poles of a magnet:
Strength of magnetic field produced by a current carrying solenoid depends upon :
An electromagnet is :
A mirror forms a virtual and diminished image. It is a :
Focal length of a plane mirror is :
A convex lens forms the image of sun at :
Speed of light in vacuum is:
The cause of twinkling of stars is:
Blue colour of sky is due to :
Myopia is corrected by using :
For which colour of light, the angle of deviation by a prism is maximum ?
What does the odometer of vehicle measure?
An object travels 25 m in 5 s and then travels 25 m in 3 s. What is the average speed of the object?
A train is moving at a constant speed of \( 54 \, km/h \). What is the speed of the train in \( m/s \)?
What is the 'SI' unit of acceleration ?
In this graph which line (A or B) show high velocity :
An object mass is 'M' and Velocity is 'V'. What is the momentum of the object :
When we beat a carpet by stick the dust particles come out. Which law of motion works here ?
An object has a mass of \( 120 \, kg \) on Earth. What is the mass of the object on the Moon?
If we apply \( 10 \, N \) of force on an object, then the acceleration produced is \( 2.5 \, m/s^2 \). What is the mass of the object?
If we walk on Ice its not easy for us why?
A naughty boy hit a mango tree by stone then a mongo fall down. Why the mango fall down :
Universal Law of gravitation is :
1 KWh is equal to :
Sound can move in:
What is the relation between sound velocity (\( V \)), frequency (\( \gamma \)), and wavelength (\( \lambda \))?
The number of electrons constituting one coulomb of charge :
The resistance of an ideal Voltmeter is :
V-I graph for four materials A, B, C \& D are shown in fig. The best material to make live wire of domestic wiring is :
The resistivity of a conductor depends upon :
If the diameter of a wire of \( 1 \, \Omega \) is tripled, then its resistance will become:
On increasing the temperature, the resistance of conductors:
The current in \(7.2 \, \Omega\) resistor is :
The reading of the voltmeter is :
Which of the following does not represent electric power in the circuit ?
Two identical resistance wires are first connected in series and then in parallel in an electric circuit. The ratio of heat produced in the two cases will be :
Chemistry
Question 91:
Rancidity is due to oxidation of:
View Solution
Step 1: Understand Rancidity.
Rancidity is the process of degradation of fats and oils due to oxidation. This occurs when unsaturated fatty acids in oils and fats react with oxygen in the presence of heat, light, or catalysts, leading to the formation of unpleasant odors and flavors.
Step 2: Analyze Each Option.
Option (1): Oil — Incorrect, as rancidity affects both oils and fats, not just oils.
Option (2): Fats — Incorrect, as rancidity affects both oils and fats, not just fats.
Option (3): Oil and Fats — Correct, as rancidity is caused by the oxidation of both oils and fats.
Option (4): None of these — Incorrect, as options (1) and (2) are partially correct, but the most accurate answer includes both oils and fats.
Step 3: Final Answer. \(\)
(3) Oil and Fats Quick Tip: Rancidity is a chemical reaction that primarily affects unsaturated fats and oils. It is a form of oxidation that leads to the breakdown of these lipids, resulting in undesirable changes in flavor, odor, and texture. Both oils and fats are susceptible to this process.
The reaction \( CuSO_4 + Zn \rightarrow ZnSO_4 + Cu \) is an example of a:
FeSO\(_4\) decomposes on heating into :
Propane, with the molecular formula C\(_3\)H\(_8\) has :
Two successive compounds, having same functional group. They have a difference of :
Formula of Carboxylic group is :
Triads rule was given by:
Which element has '2, 8, 1' Electronic configuration?
Mendeleev's Modren periodic law is based on :
SI unit of density is :
"Tyndall effect" will be shown by which of the following ?
The formula of Calcium Carbonate is :
Choose the correct relationship: molar mass - common name - chemical formula from the following options.
What is the mass of \( 0.5 \) mole of oxygen atoms?
The Avogadro constant \(6.022140857 \times 10^{23}\) is defined as the number of atoms present in exactly 12 g of ..........
The Law of Conservation of Mass-During a chemical reaction ..........
Composition of the nuclei of two atomic species A and B are given as under :
Choose the correct relationship between A and B ?
Which one of the following is a correct electronic configuration of Ne atom ?
Which one of the following pairs is showing a correct isotopes of Cl atom?
The atomic number of an element is the same as the number of :
Rutherford's alpha-particle scattering experiment was responsible for the discovery of:
In which conditions rusting of iron takes place in presence of:
Which metals are kept in kerosene?
Conductivity of metal's is due to :
What is the formula of plaster of Paris?
Bleaching Powder is mixed in drinking water. Why?
Which acid is produced in our stomach ?
A Solution turns blue Litmus red, its pH is likely to be :
A Solution reacts with egg-shell to give CO\(_2\) gas, the Solution contains :
What happens; When dilute 'HCl' is added to granulated 'Zn' ?
Among the following, what is used to check the rate of transpiration?
New plants grown up by using the tip of a plant is known as:
Respiration is a :
The enzyme 'pepsin' is inactive in stomach without the presence of :
Contraction of the protoplast of a plant cell as a result of loss of water from the cell is :
Two cell organelles who has its own genetic material:
Plasma contains:
Name the type of epithelial tissue which forms the lining of kidney tubules and ducts of salivary glands:
Antedon (Feather Star) is an example of :
Sleeping sickness is caused by:
The enzyme that breaks down protein during digestion :
A plant hormone that cause wilting of leaves is :
The process of purifying blood by an artificial kidney is known as:
What is the energy currency of the cell?
The change of radiant energy into chemical energy is known as :
English
Question 136:
Choose an antonym (opposite in meaning) for 'short':
View Solution
Step 1: Understand the meaning of 'antonym'.
An antonym is a word that means the opposite of another word.
Step 2: Understand the meaning of 'short'.
'Short' can refer to a small length, distance, or duration. It can also refer to a small height (e.g., a short person).
Step 3: Evaluate each option as a potential antonym for 'short'.
(1) small: While 'small' can sometimes be related to 'short' (e.g., a small object can be short in dimension), it is a synonym in certain contexts, not a direct antonym for all meanings of short. 'Small' refers to overall size, while 'short' often refers to a specific dimension like length or height.
(2) less: 'Less' is a comparative adjective or adverb meaning a smaller amount or degree. It is not an antonym for 'short' in terms of length or height.
(3) long: 'Long' is a direct antonym for 'short' when referring to length or duration (e.g., a long rope vs. a short rope, a long journey vs. a short journey).
(4) tall: 'Tall' is a direct antonym for 'short' when referring specifically to height (e.g., a tall person vs. a short person). However, 'long' is a more general antonym covering both length and duration, and is often the primary antonym for 'short' in many contexts.
Step 4: Select the best antonym.
Considering the common usage of 'short' in terms of length and duration, 'long' is the most comprehensive and direct antonym. While 'tall' is an antonym for 'short' when referring to height, 'long' is a more universally applicable opposite.
(3) long Quick Tip: When choosing an antonym, consider the primary or most common meaning of the word. 'Long' is the most direct and broadly applicable opposite for 'short'.
Choose the correct form of verb :
Her hair ............... crisp and black.
Choose the correct word to fill the blank :
.................. is good for health.
Choose the correct option:
Mohan _________\ this book yesterday.
Find the one word that can substitute the following:
"The act of afforestation by planting many trees."
Find the correct option for the following jumbled words :
indoor/and/there/are/outdoor/kind of/various/games
Fill the correct choice :
The .......... of flowers.
Find the correct verb for the word 'advice' :
Find the correct option for the underline idiom :
He got fame by leaps and bounds.
Fill in the blank with the correct preposition:
He died ______\ hunger.
Which is the correct passive form of the following sentence:
Pradeep writes a letter.
Fill in the blank with a suitable article :
His wife is .......... actress.
Choose correct form of verb :
Ansha .......... to be a space scientist.
Fill in the blank with a suitable modal :
Soldiers ................ obey the orders of their offices.
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