List of top Questions asked in International Institute of Information Technology Hyderabad Undergraduate Entrance Examination

When I was a child, there used to be a fair in my town during the Diwali and Id festivities. Among the many things I saw was a strange puppet show. There were three puppets, one of a man, another of a woman, and the third one of a rakshasa (demon). Whenever the rakshasa was brought close to the woman, she would turn her face away. But when the man was brought close to her, she would turn back and face the man.
Given below is an encrypted sentence: SJ HVJ HMM GPVC BHI. LPBJ VJBHEC LP. – LHBZJM GJFAJXX Decode it based on the clues given below. % Clues Clues: Clue-1: H stands for A
Clue-2: B stands for E
Clue-3: C stands for N
Clue-4: L stands for S
Clue-5: I stands for D
Three pipes A, B, and C can fill a tank in 6 hrs. After working at it together for 2 hrs, C is closed and A and B can fill the remaining part in 7 hrs. The total number of hours taken by C alone to fill the tank is

Swahili, a Bantu language, is spoken in the southern and eastern coasts of Africa. Match the Swahili dates to the correct English translations.
1. tarehe tatu Disemba jumamosi                        (A) Monday, October 5th
2. tarehe tano Oktoba jumapili                             (B) Tuesday, April 2nd
3. tarehe pili Aprili jumanne                                  (C) Wednesday, October 5th
4. tarehe tano Oktoba jumatatu                            (D) Tuesday, April 4th
5. tarehe nne Aprili jumanne                                 (E) Sunday, October 5th
6. tarehe tano Oktoba jumatano                           (F) Saturday, December 3rd
                                                                              (G) Sunday, December 3rd
                                                                              (H) Saturday, July 1st

Papago Problem: Tohono O’odham, formerly known as Papago, is spoken in
south-central Arizona in the U.S. and in northern Sonora in Mexico. Match each Tohono
O’odham sentence with its English translation.
(1) Ha-cecposid ‘o g wakial g wipsilo.                                          (A) I am speaking
(2) Pi ‘ac ˜ne˜nok ‘a:cim.                                                                (B) The man is speaking.
(3) Ceposid ‘o g wakial g wisilo.                                                    (C) I am working.
(4) Pi ‘o cickpan g cecoj.                                                                 (D) The cowboys aren’t branding the calf.
(5) Pi ‘o ceposid g wapkial g wisilo.                                              (E) We are not speaking.
(6) Cipkan ‘a˜n ‘a:˜ni.                                                                      (F) The men are working.
(7) ˜Neok ‘o g ceoj.                                                                          (G) The cowboy is branding the calf.
(8) ˜Neok ‘a˜n ‘a:˜ni.                                                                        (H) The cowboy is branding the calves.
                                                                                                           (I) The men are not working.

This question is based on the below graph: Which number below represents the area of the shaded curve to the closest value? 

The function \( f(x) \) is defined as follows:  \[ f(x) = \begin{cases} 2+x, & \text{if } x \geq 0 \\ 2-x, & \text{if } x \leq 0 \end{cases} \] Then function \( f(x) \) at \( x=0 \) is: 

Your teacher uses a weighing balance to take equal amounts of two substances, tartaric acid and washing soda, say 1g. Each is dissolved separately into 100 cc of water.

(A) In 1 drop of the acid solution and 1 drop of the basic solution, we have:
1. equal amount of acid and base respectively
2. equally acidic and basic substance respectively
3. acidity in one and basicity in the other are not equal
4. equal magnitude of the quantity —pH-7—
(B) Take a few cc of the acidic solution in a test-tube and mix a few drops of coloured
phenolphthaline solution (prepared in basic medium) into it. Which of the following may be 4
happening:
1. The colour of the solution instantly changes pink
2. remains colourless as the colour of the added drops disappears
3. the colour diffuses through the solution and finally disappears
4. the colour diffuses through the solution and finally the entire solution acquires a faint pink
colour.

A system consists of N particles, interacting with each other (for example, protein molecules). Which one of the following statements is FALSE?
Asim got thrice as many sums wrong as he got right. If he attempted 60 sums in all, how many sums did he solve correctly?
Three identical masses are at the three corners of the triangle, connected by massless identical springs (rest length \( l_0 \)) forming an isosceles right angle triangle. If the two sides of equal length (of length \( 2l_0 \)) lie along the positive x-axis and positive y-axis, then the force on the mass that is not at the origin but on the x-axis is given by \( \hat{i} + \hat{j} \) with \( a \) and \( b \).
A man can cover a distance in 1 hour 24 minutes by covering 2/3 of the distance at 4 km/h and the rest at 5 km/h. The total distance is
If log2 = 0.30103 and log3 = 0.4771, find the number of digits in (648)\(^5\).
Choose the correct alternative that will continue the same pattern and fill in the blank spaces. 2, 7, 14, 23, —–, 47
A pair of fair dice is rolled. What is the probability that the second die lands on a higher value than the first?
Consider a group of 20 people. If everyone shakes hands with everyone else, how many handshakes take place?
Consider a rope fixed at both ends under tension so that it is horizontal (i.e. assume the rope is along x-axis, with gravity acting along z-axis). Now the right end is continually oscillated at high frequency \( n \) (say \( n = 100 \, \text{Hz} \)) horizontally and in a direction along the rope; amplitude of oscillation is negligible. The oscillation travels along the rope and is reflected at the left end.
How many solutions are there to the equation \(x_1 + x_2 + x_3 + x_4 = 17\), where \(x_1, x_2, x_3, x_4\) are nonnegative integers?
Two chairs (A and B) are in an empty room overnight. Chair A is made of steel while chair B is made of wood. In the night and in the morning, the temperature of the room is 290 K. In the morning, a person chooses between Chair A and Chair B as the seat by feeling (touching) the chair and choosing one which feels warmer.
A square closed loop of area A, lying in the horizontal plane, is moving horizontally with velocity \( v \) in a uniform vertical magnetic field \( B \). Which one of the following statements is FALSE?
The velocity of the nitrogen molecule in room temperature air is:
Helium is two times heavier than H2. The average kinetic energy per molecule for helium at 300K is
Two liquids A and B are mixed in such a proportion that they form an ideal solution whose total vapor pressure is exactly three times that of the partial pressure of A. If \( P_A^\circ \) and \( P_B^\circ \) are the vapor pressures of pure A and B respectively, then the total vapor pressure of the solution is given by
If \( P_0 \) and \( P_S \) are the vapour pressures of the solvent and solution respectively and \( X_0 \) and \( X_S \) are mole fractions of solvent and solute respectively, then
A known positive charge is located at point P as shown above, between two unknown charges, Q1 and Q2. P is closer to Q2 than Q1. If the net electric force acting on the charge at P is zero, it may correctly be concluded that: