TS POLYCET Free Mock Test 2025 Online – Practice Questions with Answers & Instant Score

The roots of the quadratic equation are:

If \( \alpha, \beta \) are the roots of \( 2x^2 – 4x + 5 = 0 \), then \( (\alpha + 1)(\beta + 1) = \):

The value of \( \frac{1 – \tan^2 45^\circ}{1 + \tan^2 45^\circ} \) is:

The value of \( 1 + \sec 19^\circ \sin 71^\circ \) is:

The pair of linear equations \( 2x – 3y = 8 \) and \( 4x – 6y = 9 \) represents:

The solution of system of equations \( \frac{x}{2025} + \frac{y}{2026} = 2 \) and \( \frac{2x}{2025} – \frac{y}{2026} = 1 \) is:

The roots of quadratic equation \( 2x^2 + x – 4 = 0 \) are:

The total surface area of a hemisphere solid having radius 7 cm is:

If \( \frac{5}{x+1} + \frac{1}{y-3} = 2 \) and \( \frac{6}{x+1} – \frac{3}{y-3} = 1 \), then \( x = \dots \):

Which term of G.P. \( 2, 2\sqrt{2}, 4, \dots \) is 128?

The terms 4, 7, 10, \dots form an A.P. The sum of the first 15 terms is?

If a line is passing through the points (2, 5) and (x, 3) and its slope is 2, then the value of x is?

The distance of point (2, 4) from the x-axis is?

The area of the triangle with vertices (1, 1), (-4, 6), (-3, -5) is?

If \( A = 45^\circ \), then the value of \( \sin A + \cos A + \cos 2A \) is?

\( \cot(90^\circ – \theta) = ? \)

If A is the set of odd numbers less than 6 and B is the set of prime factors of 30, then:

If the pair of equations \( 3x + 4y = k \) and \( 9x + 12y = 6 \) has infinite number of solutions, then the value of k is:

The product of the zeroes of a polynomial \( x^3 – 3x^2 + x + 1 \) is:

The sum of the first n natural numbers is:

In the sequence 18, a, 14, 32, the common difference is:

If x < 0 and y > 0, then the point P(x, y) is in which quadrant?

What is the value of \( \csc 31^\circ \sec 59^\circ \)?

If a, b, c are in A.P., then \( \frac{a – b}{b – c} \) is equal to:

If a, b, c are in A.P., then \( \frac{a – b}{b – c} \) is equal to:

If \( A = \{1, 2, 3, 4, 5\} \) and \( B = \{1, 3, 5, 7\} \), then \( n(A \cap B) = \dots \):

The zeroes of the quadratic polynomial \( x^2 + x – 2 \) are:

Which of the following statement regarding the probability of an event is correct?

What is the probability of getting a number 7 in a single throw of a dice?

If one card is selected from a well-shuffled deck of 52 cards, then the probability of getting an ace card is:

The mean of 20, 30, 38, 40, 50, 56, 60 is:

If the equations \( x + 2y = 5 \) and \( 3x + ky = 10 \) are inconsistent, then the value of k is:

If the pair of linear equations \( a_1x + b_1y + c_1 = 0 \) and \( a_2x + b_2y + c_2 = 0 \) represent coincident lines, then:

From the top of a tower 60 meters high, the angle of depression of an object is 60°, then the distance of the object from the base of the tower is:

The angle of elevation of the top of a building from a point 10 meters away from the base is 60°, then the height of the building is:

\( 5 + \sqrt{7} \) is:

If \( x, y, z \) are distinct prime numbers, then the H.C.F. of \( x^2 y^3 z \) and \( x^3 y z^2 \) is:

The value of \( \log_3 81 \) is:

What is the median of 18, 14, 6, 7, 8?

If the mean of \( x, y, 3, 4 \) is 5, then \( x + y = ? \)

The mean and mode of 5, 3, 9, 1, 9, 8, 9, 4 are m and n respectively, the value of m+n is?

LCM of 9, 12 and 15 is?

Median of \( x, 20x, \frac{x}{20}, 200x, \frac{x}{200} \) (where \( x > 0 \)) is 20, then the value of \( x \) is:

If \( 3^x = 9^{x-1} \), then the value of \( x \) is:

Mode of the data \( 19, 2, 6, 12, 12, 3, 5, 6, 18, 14, 6, 17, 2 \) is:

In \( \triangle ABC \), \( DE \parallel BC \), if \( AD = x + 1 \), \( DB = 3x – 1 \), \( AE = x \), and \( EC = 4x – 3 \), then the value of \( x \) is:

In \( \triangle ABC \), if \( AB = 6\sqrt{3} \) cm, \( AC = 12 \) cm and \( BC = 6 \) cm, then the angle \( B \) is:

A regular brick is in the shape of:

A cylinder and a cone have bases of equal radii and heights, then the ratio of volumes is:

The ratio of the areas of two similar triangles is equal to the ratio of the ______ their corresponding sides.

In \( \triangle PQR \), \( ST \parallel QR \), \( PQ = 12 \) cm, \( PR = 24 \) cm, and \( SP = 4 \) cm, then \( PT = \):

The maximum number of parallel tangents that can be drawn to a circle is:

The parallelogram circumscribing a circle is a:

\( \log 2 \) is:

The distance between two parallel tangents of a circle of radius 4 cm is:

In \( \triangle ABC \), \( DE \) is a line such that \( \frac{AD}{DB} = \frac{AE}{EC} \) and \( \angle EDA = \angle ACB \), then \( \triangle ABC \) is a/an:

All the circles are:

If the angle between two radii of a circle is \( 120^\circ \), then the angle between the tangent and the ends of the radii is:

A line which intersects a circle at two points is called:

In the given figure, if , then :

The angle of vision for a healthy human being is about:

What do the cones in our eyes identify?

Which of the following works on the principle of electromagnetic induction?

Which of the following is the lens maker's formula?

The focal plane of a lens is a plane:

A prism is made with refractive index \( \mu = 2 \) and angle 60°. The angle of minimum deviation is:

When a convex lens is placed in water, its focal length:

A watch repairer uses a magnifying glass. Which lens is used?

An air bubble in water behaves like:

The shape of magnetic field lines around a straight current-carrying wire is:

Which of the following is constant throughout a uniform magnetic field?

The force on a current-carrying conductor placed in a magnetic field becomes zero, when it is:

Electric motor converts:

The lens used to correct myopia is:

Which law indicates this relation?
\( \epsilon = \frac{\Delta \phi}{\Delta t} \)

Lenz's law explains about:

The formula for power of a lens is:

Which of the following obeys Ohm's law?

How many times does a ray of light refract when it passes through a prism?

Which of the following is used in household circuits to prevent damages due to overloading?

The SI unit of resistivity is:

We get a diminished image with a concave mirror when the object is placed:

If the radius of curvature of a spherical mirror is 16 cm, then the focal length of the mirror is:

The geometric center of a spherical mirror is called:

Which of the following mirrors is used by a dentist to examine a patient's teeth?

Tesla is the SI unit of:

There is no accumulation of electric charges at any junction in an electric circuit. Which law states this?

Solenoid behaves like a ______ when current passes through it:

The resistors 2Ω, 4Ω and 6Ω are connected in series. The equivalent resistance is:

The current in a wire depends on:

The law of octaves was proposed by:

Which of the following methods is used for the concentration of ore?

The purification method used for blister copper is:

What is the nature of a solution whose pH value is zero?

Identify the sulphide ore among the following:

The product or products formed when sodium carbonate reacts with HCl is/are:

IUPAC name of CH\(_3\)CHO is:

Which of the following is the hardest material?

The below reaction is an example of:
\( CH_3C \equiv CCH_3 \xrightarrow{Ni, H_2} CH_3CH_2CH_2CH_3 \)

The hybridisation of carbon in graphite is:

Fats are esters of higher fatty acids and:

The compounds formed when a hydrogen atom is replaced from NH₃ by an alkyl group is:

The number of elements present in the fifth period of the modern periodic table:

Ionization energy generally:

The chemical bond formed by the overlapping of orbitals on the internuclear axis is:

Which one of the following has smaller atomic radii?

The predicted properties of eka-boron by Mendeleev were almost same as of _____ which was discovered later:

Which one of the following molecules is an example of sp² hybridisation?

Which of the following is a mild base?

Double bond is present in:

The compound used in the preparation of borax is:

What is the molecular formula of alkane?

Shape of H\(_2\)O molecule is:

Polar covalent bond is present in:

An orbital can hold only two electrons. This can be explained:

The number of magnetic quantum number values for \( l = 1 \) is:

Which type of atoms form cations easily?

Atoms with low ionization potential and large atomic size:

The volume of CO\(_2\) liberated in litres at STP when 25 g of CaCO\(_3\) is treated with dilute HCl containing 14.6 g of HCl is:

Which one of the following processes involves chemical change?

Gregor Johann Mendel is known as the Father of:

Different asexual reproduction methods seen in organisms are:

Mendel had chosen ______ pairs of contrasting characters for his study:

The trait expressed in F₁ generation is called:

What is the dark colored outer zone in the internal structure of the kidney called?

Which part of the brain is concerned with the sense of smell?

Testosterone is secreted by which endocrine gland?

What is the condition that occurs when our body is filled with extra water and wastes due to kidney failure?

The myelin sheath of the neuron is made of which type of cells?

What are the squamous epithelial cells lining the Bowman's Capsule called?

Choose the correct order: Grass → ??? → Rabbit → ??? → Fox → ??? → Wolf

Drip irrigation can reduce water consumption by ____ percent:

Examples of physical factors or abiotic factors are:

Percentage of fresh water on Earth is:

We get hunger pangs in the stomach as ____ levels in the blood fall:

The difference in characters within very closely related groups of organisms are called:

Bacterium that is responsible for the formation of curd is:

_______ is a means of reproduction without involvement of gametes or involving a single parent:

_______ in the forebrain and vagus nerve play an important role in carrying signals of hunger to the brain:

Algae, fungi, and many land plants commonly reproduce by:

In which form is energy stored in the mitochondria?

What is the blood pressure in a healthy adult human?

Deficiency of which vitamin delays blood clotting in man?

Which process is summarized by the following equation?
\( 6CO_2 + 12H_2O \xrightarrow{Light, Chlorophyll} C_6H_{12}O_6 + 6H_2O + 6O_2 \)

For absorbing plant juices an Aphid pierces its proboscis into which part of the plant?

What is the liquid portion that forms after the blood clot?

What is the % of carbon dioxide in the inhaled and exhaled air?

Which of the following are water soluble vitamins?

The process of mastication of the food in the mouth leads to the formation of:

In a chloroplast, which of the following sites trap solar energy?