TALLENTEX 2027 Class 10 Syllabus, Pattern, and Sample Test Review

Comprehensive vocabulary review flashcards covering exam format, syllabus guidelines, and question concepts from the TALLENTEX 2027 Class 10 Offline Sample Test Paper.

TALLENTEX

An acronym for ALLEN's Talent Encouragement Exam, an initiative conducted at the national level by ALLEN Career Institute to encourage young talent.

TALLENTEX Marking Scheme

$+4$ marks awarded for each correct answer and $-1$ mark deducted for each wrong answer (negative marking).

Offline Exam Question Pattern

Consists of $80$ objective multiple-choice questions with single correct answers, divided across Physics ($15$), Chemistry ($15$), Biology ($15$), Mathematics ($15$), and IQ ($20$).

Online Exam Question Pattern

Consists of $100$ objective multiple-choice questions with single correct answers, distributed across Physics ($19$), Chemistry ($18$), Biology ($19$), Mathematics ($19$), and IQ ($25$).

TALLENTEX Exam Duration

A test duration of $2\text{ hours}$ for both the offline and online exam modes.

Offline Exam Hall Reporting Rule

A compulsory requirement for students to take their seats in the exam hall at least $30\text{ minutes}$ before the test to fill out the OMR sheet.

Online Exam Portal Login Rule

A compulsory requirement to log into the test portal at least $30\text{ minutes}$ prior to the start of the examination to avoid technical issues.

Medium of Examination

The language medium of the TALLENTEX exam, which is English only.

ALLEN Corporate Office

ALLEN Career Institute Pvt. Ltd. located at 'SANKALP', CP-6, Indra Vihar, Kota (Rajasthan) - 324005.

Class 10 Physics Syllabus Topics

Includes Reflection of Light (10th), Refraction of Light (10th), and The Human Eye and Colourful World (10th), alongside 9th grade topics.

Class 10 Chemistry Syllabus Topics

Includes Chemical Reactions and Equations (10th), Acids, Bases and Salts (10th), and Metals and non-metals (10th), alongside 9th grade topics.

Class 10 Biology Syllabus Topics

Includes Nutrition, Respiration, Transportation, Excretion, Control and Coordination, Tissues in Action, and Improvement in Food Resources.

Class 10 Mathematics Syllabus Topics

Includes Real Numbers, Coordinate Geometry, Introduction to Trigonometry, Pair of Linear Equations in Two Variables, Polynomials, and Triangles.

IQ / Mental Ability Syllabus Topics

Includes Alphabet Test, Arithmetical Reasoning, Blood Relation, Coding-Decoding, Counting of Figures, Dice, Cube, Direction Sense, Embedded Figure, Mathematical Operations, Inserting the Missing Character, Series, Number/Ranking/Time Sequence, Puzzle Test, Sitting Arrangement, and Syllogism.

Wave Trough Distance Relation

The distance between three consecutive troughs equals two full wavelengths ($2\lambda$); for a distance of $4\text{ cm}$, $\lambda = 2\text{ cm}$.

Wave Velocity Formula

The product of frequency and wavelength ($v = f \times \lambda$); for $f = 2.5\text{ s}^{-1}$ and $\lambda = 2\text{ cm}$, the velocity is $5\text{ cm/s}$.

Dispersion of Light

The splitting of white light into its component colors upon passing through a prism.

Uniform Retardation

A constant negative acceleration ($a = -5\text{ m/s}^2$) reducing velocity linearly according to $v = u + at$, taking a body from $100\text{ m/s}$ to $65\text{ m/s}$ after $7\text{ s}$.

Aeroplane Rainbow Phenomenon

An airborne observer has an unobstructed view of the entire cone of raindrops, allowing them to view primary and secondary rainbows as full concentric circles.

Momentum Conservation on Frictionless Surfaces

A person stranded on a frictionless horizontal surface can generate horizontal propulsion without external friction by ejecting mass through coughing or spitting.

Relative Speed of Image in a Plane Mirror

When a person moves toward a stationary plane mirror at speed $v = 15\text{ m/s}$, the image moves toward the person at a relative velocity of $2v = 30\text{ m/s}$.

Inclined Plane Mirror Reflection

When a vertical incident ray hits a mirror inclined at $30^\circ$ to the horizontal, the angle of incidence is $60^\circ$, and the angle between the mirror and the reflected ray is $60^\circ$.

Relative Refractive Index and Light Speed

The relationship $v_1 \mu_1 = v_2 \mu_2$; with $\mu_{\text{glass}} = \frac{3}{2}$, $v_{\text{glass}} = 2.00 \times 10^8\text{ m/s}$, and $\mu_{\text{water}} = \frac{4}{3}$, the speed in water is $2.25 \times 10^8\text{ m/s}$.

Flight of a Golf Ball Energy States

The distribution of mechanical energy where point A (tee) has only PE, segments A to B and B to C possess both KE and PE, and point D (cup) has only PE.

Multilayer Refractive Index Relation

By comparing angles of refraction against normals across successive interfaces, the refractive indices relate as $\mu_1 > \mu_2 < \mu_3 = \mu_4 > \mu_5$.

Free Fall Independence of Mass

Neglecting air resistance, spheres of different masses dropped from the same height share the same acceleration ($g$) and velocity at any given height.

Impulse (Change in Momentum)

The product of an applied force and its interaction time ($\Delta p = F \times \Delta t$); a force of $980\text{ N}$ acting for $0.1\text{ s}$ yields $98\text{ N}\cdot\text{s}$.

Gravitational Mass Calculation

Mass calculated as weight divided by local gravitational field strength ($m = \frac{W_{\text{moon}}}{g_{\text{moon}}}$); a $200.6\text{ N}$ rock on the moon ($g = 1.7\text{ m/s}^2$) has an invariant mass of $118\text{ kg}$.

Gravitational Attraction of Touching Spheres

For two uniform spheres of radius $r$ and identical density touching each other, the gravitational force scales as $F \propto r^4$.

Mechanical Power Ratio

Power defined as work over time ($P = \frac{mgh}{t}$); with weight ratio $5:3$ and time ratio $11:9$, the ratio of power is $\frac{5/11}{3/9} = \frac{15}{11}$.

Sodium (Classification & Property)

An alkali element characterized physically as a soft metal easily cut with a knife.

Helium (Classification)

A monoatomic inert element categorized chemically as a noble gas with zero valency.

Sulphur (Physical Property)

A non-metallic solid element characterized by its distinct yellow color.

Hydrogen Gas (Molecular Form)

A gaseous chemical element found naturally in the form of a diatomic molecule ($\text{H}_2$).

Isotopes vs. Different Elements

Atoms sharing the same number of protons (atomic number) represent the same element; species B and C with $17\text{ protons}$ each are isotopes/ions of chlorine, not different elements.

Nucleon Number (Mass Number)

The total count of protons and neutrons in a nucleus; atom E with $12\text{ protons}$ and $12\text{ neutrons}$ has a nucleon number of $24$ and represents magnesium (a metal).

Valency of Sodium

The combining capacity of sodium ($\text{Na}$), which is $1$, rather than $2$.

Valency of Helium

The combining capacity of helium ($\text{He}$), which is $0$ due to its complete duplet, rather than $2$.

Valency of Magnesium

The combining capacity of magnesium ($\text{Mg}$), which is $2$, rather than $3$.

Calcium Sulphate Reaction Sequence

Neutralization of $\text{H}_2\text{SO}_4$ with $\text{Ca(OH)}_2$ forms calcium sulphate ($\text{A}$), crystallizes into gypsum ($\text{B}$), and forms plaster of Paris ($\text{C}$) upon heating to $100^\circ\text{C}$.

Gypsum

The hydrated salt calcium sulphate dihydrate ($\text{CaSO}_4 \cdot 2\text{H}_2\text{O}$) formed by the crystallization of calcium sulphate.

Plaster of Paris

Calcium sulphate hemihydrate ($\text{CaSO}_4 \cdot \frac{1}{2}\text{H}_2\text{O}$) obtained by heating gypsum to $100^\circ\text{C}$ ($373\text{ K}$).

Definite Proportions in Carbon Dioxide

Since carbon dioxide contains $27.2\%$ carbon and $72.8\%$ oxygen by mass, combining $10\text{ g}$ of carbon requires $\frac{72.8}{27.2} \times 10 = 26.7\text{ g}$ of oxygen.

Auto-Reduction of Copper

The extraction process in which copper oxide is reduced directly by copper sulphide without an external reducing agent.

Electrolytic Reduction of Aluminium

The required method for isolating aluminium from its oxide because aluminium's strong affinity for oxygen prevents chemical reduction by carbon smelting.

Marble and Sulfuric Acid Reaction

The acid-carbonate reaction of calcium carbonate ($\text{CaCO}_3$) with spilled sulfuric acid producing fizzing carbon dioxide ($\text{CO}_2$) gas.

Argentite

A primary ore of silver consisting of silver sulphide ($\text{Ag}_2\text{S}$), which is a sulphide ore rather than an oxide.

Rutherford's Atomic Model

An atomic model depicting orbiting electrons and a central dense nucleus of protons, leaving neutrons unrepresented.

Hydrogen and Deuterium

A pair of isotopes of the element hydrogen having atomic mass numbers of $1$ and $2$ respectively.

Native Metallic State

The uncombined elemental form in which gold and platinum-group metals are found in nature due to their high chemical inertness.

Galvanization Protection

The use of zinc ($\text{Zn}$) coating to prevent the corrosion of iron through sacrificial protection.

Silver Tarnishing and Restoration

Silver darkens into silver sulphide in air, but shines when rubbed with toothpaste because hydrogen peroxide in the toothpaste converts silver sulphide to silver sulphate.

Basic Salt

A compound like $\text{Pb(OH)Cl}$ containing replaceable hydroxide groups, categorizing it as a basic salt rather than an acid salt.

pH of Hydroxide Solution

For a hydroxide ion concentration of $[\text{OH}^-] = 10^{-2}\text{ M}$, $\text{pOH} = 2$, making the solution basic with $\text{pH} = 14 - 2 = 12$.

Human Blood pH

A biological fluid maintaining a slightly basic physiological state ($\text{pH} \approx 7.35 - 7.45$).

Thermal Decomposition

A chemical reaction where a single substance breaks down into simpler substances upon the addition of heat.

Loop of Henle

The hairpin-shaped portion of a nephron responsible for the recovery and concentration of water and sodium chloride from urine.

Oxygenated Blood Chambers of the Heart

The left side of the heart and its connected systemic conduits, specifically the aorta (A), pulmonary veins (B), left atrium (C), and left ventricle (F).

Proximal Convoluted Tubule (PCT)

The nephron segment where maximum reabsorption ($70\text{--}80\%$) of electrolytes, water, and essential nutrients from the glomerular filtrate occurs.

Submerged Aquatic Plants Transpiration

Plants completely immersed in water lack stomatal water evaporation and therefore undergo no transpiration.

Site of Urea Formation

The human organ responsible for synthesizing urea via the ornithine cycle, which is the liver.

Phloem Translocation

The energy-dependent (ATP-driven) transport of photosynthates, primarily in the form of sucrose, into sieve tubes of phloem tissue.

Pancreatic Lipase and Amylase

The enzymes found in pancreatic juice responsible for the digestion of fats (lipase) and carbohydrates (amylase).

Herbivore Small Intestine Adaptation

The small intestine (labelled B) is significantly longer in herbivores like deer compared to carnivores like lions to facilitate the slow digestion of cellulose.

Alveolar Gas Exchange

The passive diffusion process wherein carbon dioxide ($\text{A}$) moves from pulmonary capillaries to the alveolus, and oxygen ($\text{B}$) moves from the alveolus to the capillary.

Apis mellifera

The Italian honeybee species commonly used in commercial apiculture, distinct from the little bee (Apis florea).

Murrah

A high-milk-yielding indigenous breed of water buffalo, not a breed of cow.

Nephron Functional Sites

The structural points of a nephron where ultrafiltration occurs at the Bowman's capsule (D), major reabsorption occurs at the PCT (E), and vasopressin-regulated water reabsorption occurs at the DCT/collecting duct (H and I).

Larynx

The cartilaginous voice box situated within the human respiratory tract between the pharynx and the trachea.

Moll's Half-Leaf Experiment

An experimental setup using a split cork bottle containing potassium hydroxide ($\text{KOH}$) to absorb carbon dioxide, proving that $\text{CO}_2$ is essential for photosynthesis.

Catla Feeding Habit

A freshwater composite aquaculture fish that feeds primarily as a surface feeder, rather than a column feeder.

Rohu Feeding Habit

A major carp species that acts as a column feeder within a polyculture or composite fish farming pond.

Neuron

The structural and functional unit of the human nervous system responsible for conducting electrical impulses.

Linear Equation Pair Subtraction Method

Subtracting symmetric equations $87x + 53y = 15$ and $53x + 87y = -155$ yields $34x - 34y = 170$, giving $x - y = 5$.

Quadratic Residues Modulo 6

The possible remainders obtained when the square of an integer ($a^2$) is divided by $6$, which can only be $0, 1, 3,\text{ or } 4$, never $5$.

Divisor with Fixed Remainders

The greatest common divisor of numbers after subtracting their respective remainders; for $396-5=391$, $434-9=425$, and $540-13=527$, $\text{HCF}(391, 425, 527) = 17$.

Transversal Angle Evaluation

For parallel lines $GE \parallel AF$ cut by a transversal, the angle values evaluate to $x = 95^\circ$, $y = 85^\circ$, and $z = 50^\circ$.

Midpoint Triangle Area in a Parallelogram

In a parallelogram $ABCD$ with $E$ as the midpoint of $AD$, the area ratio is $\frac{\text{ar}(\Delta BED)}{\text{ar}(||^{\text{gm}} ABCD)} = \frac{1}{4}$.

Sum of Roots of a Cubic Polynomial

For $x^3 - 7x + 2$ with zeroes $\alpha, \beta, \gamma$, $\alpha+\beta+\gamma = 0$, simplifying the sum of inverted binary sums to $-\frac{1}{\gamma} - \frac{1}{\alpha} - \frac{1}{\beta} = -\frac{7}{2}$.

Trigonometric Ratio Evaluation

From $5\cos(A) - 12\sin(A) = 0$, $\tan(A) = \frac{5}{12}$ and $\sec(A) = \frac{13}{12}$, giving $\frac{\sec^2(A) - 1}{2\tan(A) + \sec(A)} = \frac{25}{276}$.

Tangents Angle Sum in a Circle

For external tangents inclined at $60^\circ$, the central angle is $120^\circ$, isosceles base angles are $30^\circ$, and chord angle is $60^\circ$, giving $\angle x + \angle y + \angle z = 120^\circ$.

Two-Dice Sum Probability

The probability of rolling a sum less than $7$ ($2, 3, 4, 5,\text{ or } 6$) on two fair dice, corresponding to $15$ successful outcomes out of $36$ ($P = \frac{5}{12}$).

Heron's Formula Polishing Cost

The total area of $16$ triangular tiles with sides $9\text{ cm}$, $28\text{ cm}$, and $35\text{ cm}$ ($s = 36\text{ cm}$, $\Delta = 88.2\text{ cm}^2$) multiplied by $50\text{ paisa/cm}^2$, yielding $\text{Rs. } 705.6$.

Sphere Volume Ratio Formula

The ratio of the volumes of two spheres equals the cube of their radii ratio; with $r_1:r_2 = 4:5$, $V_1:V_2 = 4^3:5^3 = 64:125$.

Sum of Cubes Factorization

Factorizing $x + 8xy^3 = x(1 + (2y)^3)$ using $a^3 + b^3 = (a+b)(a^2-ab+b^2)$ to obtain $x(1 + 2y)(1 - 2y + 4y^2)$.

Trigonometric Power Recurrence Relation

For $T_n = \sin^n(\theta) + \cos^n(\theta)$, the difference ratio identity yields $\frac{T_3 - T_5}{T_1} = \frac{T_5 - T_7}{T_3}$.

Corrected Arithmetic Mean Formula

For $30$ students with mean $62.5\text{ kg}$, replacing a student of $71.5\text{ kg}$ with one of $53.5\text{ kg}$ causes a total shift of $-18\text{ kg}$, yielding a new mean of $62.5 - \frac{18}{30} = 61.9\text{ kg}$.

Circle Tangent Length and Chord Calculation

In a right triangle formed by tangent $PB = 30\sqrt{3}\text{ cm}$ and $\angle POB = 60^\circ$, the radius $r = OB = 30\text{ cm}$; since $\Delta AOB$ is equilateral, chord $AB = 30\text{ cm}$.

Rotating Symbol Non-Verbal Pattern

A visual puzzle based on the rotational movement of inner symbols ('X' and 'O') around the corners and edges of an inscribed diamond.

Coincidence of Clock Hands

The exact time between $5$ and $6$ o'clock when the minute and hour hands overlap, calculated as $27\frac{3}{11}\text{ minutes past } 5$.

Mathematical Operator Interchange

Solving an arithmetic expression after exchanging minus with plus and $10$ with $1000$, transforming $1000 - 100 + 100 - 10$ into $10 + 100 - 100 + 1000 = 1009$.

Row Ranking with Central Element

When $A$ is $9\text{th}$ from the left, $N$ is $15\text{th}$ from the left (with $5$ persons between $A$ and $N$), and $M$ is $8\text{th}$ from the right with $N$ in the middle, the total persons in the row is $28$.

Clock Hands Angle Formula

The absolute angular difference between hands given by $|30H - 5.5M|$; at $8:30$, $|30(8) - 5.5(30)| = |240 - 165| = 75^\circ$.

Counting Triangles in a Hexagonal Star

Determining the total number of distinct overlapping triangles in a symmetric six-pointed star within a hexagon, which totals $32$.

Triangular Vertex Number Pattern

A number logic sequence where vertex values combine through multiplication and subtraction to equal the center value, giving $92$ for the missing term.

Nested Triangles Geometric Count

A visual counting puzzle determining the number of single and composite triangular sections within nested inverted triangles, which totals $9$.

Four-Corner Box Pattern

A number matrix puzzle where values at four corners of a square determine the central number, yielding $266$ for the missing box.

Embedded Figure Puzzle

A non-verbal mental ability task requiring the identification of a target geometric problem outline concealed within complex alternative figure drawings.

Reverse Alphabetical Positional Value

A coding scheme assigning $Z=1, Y=2, \dots, A=26$ ($\text{Value} = 27 - \text{rank}$); $C=24$, $X\text{-}RAY=40$, and $WHAT = 4 + 19 + 26 + 7 = 56$.

Centurial Leap Year Rule

Century years are leap years only if divisible by $400$; between $1701$ and $1900$, century years $1800$ and $1900$ are ordinary, leaving $48\text{ leap years}$.