Index Of Kahaani May 2026

: Beyond Vidya Balan’s powerhouse performance, the film introduced the world to Bob Biswas (Saswata Chatterjee), a polite yet ruthless contract killer who later received his own spin-off film in 2021. Cast and Crew

Directed by Sujoy Ghosh, Kahaani redefined the mystery-thriller genre in India. The story follows (Vidya Balan), a pregnant woman who arrives in Kolkata during the Durga Puja festival in search of her missing husband. index of kahaani

: This installment deals with darker themes of child abuse and mysterious identities, following a mother (Vidya Sinha) who is accused of kidnapping and murder. : Beyond Vidya Balan’s powerhouse performance, the film

: The film is celebrated for its tight script and atmospheric portrayal of Kolkata. It utilized "guerrilla filmmaking" to capture the authentic, chaotic energy of the city’s streets. : This installment deals with darker themes of

Following the original's success, Sujoy Ghosh released Kahaani 2: Durga Rani Singh .

: It is a "spiritual sequel," meaning it features Vidya Balan but tells a completely different story with a new character.

: It is often cited as a pioneer for "woman-centric" films in Bollywood, moving away from male-dominated tropes to focus on a complex, resilient female lead.

Written Exam Format

Brief Description

Detailed Description

Devices and software

Problems and Solutions

Exam Stages

: Beyond Vidya Balan’s powerhouse performance, the film introduced the world to Bob Biswas (Saswata Chatterjee), a polite yet ruthless contract killer who later received his own spin-off film in 2021. Cast and Crew

Directed by Sujoy Ghosh, Kahaani redefined the mystery-thriller genre in India. The story follows (Vidya Balan), a pregnant woman who arrives in Kolkata during the Durga Puja festival in search of her missing husband.

: This installment deals with darker themes of child abuse and mysterious identities, following a mother (Vidya Sinha) who is accused of kidnapping and murder.

: The film is celebrated for its tight script and atmospheric portrayal of Kolkata. It utilized "guerrilla filmmaking" to capture the authentic, chaotic energy of the city’s streets.

Following the original's success, Sujoy Ghosh released Kahaani 2: Durga Rani Singh .

: It is a "spiritual sequel," meaning it features Vidya Balan but tells a completely different story with a new character.

: It is often cited as a pioneer for "woman-centric" films in Bollywood, moving away from male-dominated tropes to focus on a complex, resilient female lead.

Math Written Exam for the 4-year program

Question 1. A globe is divided by 17 parallels and 24 meridians. How many regions is the surface of the globe divided into?

A meridian is an arc connecting the North Pole to the South Pole. A parallel is a circle parallel to the equator (the equator itself is also considered a parallel).

Question 2. Prove that in the product $(1 - x + x^2 - x^3 + \dots - x^{99} + x^{100})(1 + x + x^2 + \dots + x^{100})$, all terms with odd powers of $x$ cancel out after expanding and combining like terms.

Question 3. The angle bisector of the base angle of an isosceles triangle forms a $75^\circ$ angle with the opposite side. Determine the angles of the triangle.

Question 4. Factorise:
a) $x^2y - x^2 - xy + x^3$;
b) $28x^3 - 3x^2 + 3x - 1$;
c) $24a^6 + 10a^3b + b^2$.

Question 5. Around the edge of a circular rotating table, 30 teacups were placed at equal intervals. The March Hare and Dormouse sat at the table and started drinking tea from two cups (not necessarily adjacent). Once they finished their tea, the Hare rotated the table so that a full teacup was again placed in front of each of them. It is known that for the initial position of the Hare and the Dormouse, a rotating sequence exists such that finally all tea was consumed. Prove that for this initial position of the Hare and the Dormouse, the Hare can rotate the table so that his new cup is every other one from the previous one, they would still manage to drink all the tea (i.e., both cups would always be full).

Question 6. On the median $BM$ of triangle $\Delta ABC$, a point $E$ is chosen such that $\angle CEM = \angle ABM$. Prove that segment $EC$ is equal to one of the sides of the triangle.

Question 7. There are $N$ people standing in a row, each of whom is either a liar or a knight. Knights always tell the truth, and liars always lie. The first person said: "All of us are liars." The second person said: "At least half of us are liars." The third person said: "At least one-third of us are liars," and so on. The last person said: "At least $\dfrac{1}{N}$ of us are liars."
For which values of $N$ is such a situation possible?

Question 8. Alice and Bob are playing a game on a 7 × 7 board. They take turns placing numbers from 1 to 7 into the cells of the board so that no number repeats in any row or column. Alice goes first. The player who cannot make a move loses.

Who can guarantee a win regardless of how their opponent plays?

Math Written Exam for the 3-year program

Question 1. Alice has a mobile phone, the battery of which lasts for 6 hours in talk mode or 210 hours in standby mode. When Alice got on the train, the phone was fully charged, and the phone's battery died when she got off the train. How long did Alice travel on the train, given that she was talking on the phone for exactly half of the trip?

Question 2. Factorise:
a) $x^2y - x^2 - xy + x^3$;
b) $28x^3 - 3x^2 + 3x - 1$;
c) $24a^6 + 10a^3b + b^2$.

Question 3. On the coordinate plane $xOy$, plot all the points whose coordinates satisfy the equation $y - |y| = x - |x|$.

Question 4. Each term in the sequence, starting from the second, is obtained by adding the sum of the digits of the previous number to the previous number itself. The first term of the sequence is 1. Will the number 123456 appear in the sequence?

Question 5. In triangle $ABC$, the median $BM$ is drawn. The incircle of triangle $AMB$ touches side $AB$ at point $N$, while the incircle of triangle $BMC$ touches side $BC$ at point $K$. A point $P$ is chosen such that quadrilateral $MNPK$ forms a parallelogram. Prove that $P$ lies on the angle bisector of $\angle ABC$.

Question 6. Find the total number of six-digit natural numbers which include both the sequence "123" and the sequence "31" (which may overlap) in their decimal representation.

Question 7. There are $N$ people standing in a row, each of whom is either a liar or a knight. Knights always tell the truth, and liars always lie. The first person said: "All of us are liars." The second person said: "At least half of us are liars." The third person said: "At least one-third of us are liars," and so on. The last person said: "At least $\dfrac{1}{N}$ of us are liars."
For which values of $N$ is such a situation possible?

Question 8. Alice and Bob are playing a game on a 7 × 7 board. They take turns placing numbers from 1 to 7 into the cells of the board so that no number repeats in any row or column. Alice goes first. The player who cannot make a move loses.

Who can guarantee a win regardless of how their opponent plays?