This is a geometric progression with a common ratio of 3. Each term is the previous term multiplied by 3. 81×3 = 243. These patterns are typical in sequence and series problems.

V(22)+A(1)+R(18)+A(1)+N(14)+A(1)+S(19)+I(9) = 104. Each alphabet is converted to its positional number and summed. It’s an arithmetic-based coding pattern.

“My father's wife” = mother (assuming only one wife). Her only daughter = sister of the man. Her son = nephew of the man. But he says “only daughter of my father's wife” → the man is speaking about his own daughter → that child is his son. The relation traced confirms the person is the man's son.

Water (H₂O) is essential for Tripura’s agriculture, especially rice, a staple crop.

Each letter is replaced by its alphabetical position: U(21), T(20), T(20), A(1), R(18), P(16), R(18), A(1), D(4), E(5), S(19), H(8). Combining gives the correct numerical sequence. This type checks sequential transformation from characters to numbers.

Sound travels as longitudinal waves, a key topic in Tripura’s Class 9 physics.

LEDs are used in Tripura’s solar streetlights for energy efficiency and sustainability.

Archimedes’ Principle explains buoyancy, allowing boats to float on Tripura’s lakes.

A ceiling fan exhibits rotational motion, a concept in Tripura’s physics syllabus.

Barometers measure atmospheric pressure, crucial for predicting Tripura’s monsoon weather.

The Joule (J) is the SI unit of energy, used in Tripura’s science curriculum.

Windmills convert the kinetic energy of wind into electricity, explored in Tripura’s renewable energy initiatives.

Resistance is directly proportional to a conductor’s length, a concept in Tripura’s Class 10 physics.

Infrared radiation from the sun provides heat for solar cookers, promoted in Tripura for sustainable cooking.

Dispersion of sunlight by water droplets causes rainbows, often seen during Tripura’s monsoon season.

The Watt (W) is the SI unit of power, defined as one joule per second, taught in Tripura’s schools.

Tripura’s power plants, like the Palatana Gas Thermal Power Plant, primarily use natural gas for electricity.

Concave lenses correct nearsightedness (myopia), a common topic in Tripura’s optics curriculum.

The Ampere (A) is the SI unit of electric current, taught in Tripura’s Class 10 physics.

The pattern is: multiply previous term by 2 then subtract 1. 7×2–1 = 13, 13×2–1 = 25, 25×2–1 = 49, 49×2–1 = 97, 97×2–1 = 193. Thus, the missing number before 193 is 97.

Convex mirrors diverge light to cover wider areas, used in Tripura’s urban street lighting.

P is R’s mother, Q is P’s brother → Q is R’s maternal uncle. T is Q’s father, so T is also P’s father, which makes T the grandfather of R. By tracing relations, T → P → R confirms T is a generation above R. This type of question tests family tree reasoning.

Gravity accelerates objects at ~9.8 m/s² in Agartala, consistent with Earth’s surface, taught in Tripura’s schools.

The code pattern adds 3 to the ASCII value of each character of the word. For example, A(65)+3 = D(68), L(76)+3 = O(79). This same rule applies to LUCKNOW → OXEKQVT. This type of question requires pattern recognition based on ASCII shifts.

Electrons carry a negative charge and orbit the nucleus, a concept in Tripura’s Class 10 chemistry and physics.

If Kanpur lies 300 km east of Lucknow, and Varanasi is 200 km further east, then total linear eastward distance from Lucknow to Varanasi is 300 + 200 = 500 km. No angular or alternate path is involved, so the shortest path is the sum. This is a straightforward directional distance-based problem.

Each letter in UTTAR is shifted forward with increasing step sizes: U(+1)=V, T(+2)=V, T(+3)=W, A(+4)=E, R(+5)=W. Then reversed → WEWVV. Same shift and reverse logic applied to PRADESH results in: VYBFJZN. The trick lies in incremental shifting and reversing the result.

The code is based on the position of each letter in the English alphabet (A=1, B=2, ..., Z=26). AGRA = A(1), G(7), R(18), A(1) → 1-7-18-1. It follows the same encoding principle as used in LUCKNOW. No alteration, reverse, or shift is applied, only direct alphabetical positions.