Quantitative ability & data sufficiency:
1. From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 200 m high, the distance of point P from the foot of the tower is:

A. 346 m B. 400 m C. 312 m D. 298 m

Answer: A
2. A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

A. 26 litres B. 29.16 litres C. 28 litres D. 28.2 litres

Answer: B
3. Which of the following is a prime number?

A. 9 B. 8 C. 4 D. 2

Answer: D
4. X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?

A. Rs.14400 B. Rs.26400 C. Rs.12000 D. Rs.12500

Answer: A
5. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?

A. 42, 33 B. 42, 36 C. 44, 33 D. 44, 36

Answer: A
Directions 6 - 10: In each of the following questions, a question is followed by two or three statement. Read all the statements and find that which statements are required to answer the question and answer accordingly.
6. In how many days will Mohit alone complete the work? Statement I: Soham alone can do the work in 20 days .Mohit is 10% more efficient than Soham and Rita . 30% of work is done by Mohit? Statement II: Soham and Mohit together can finish the work in 8(2/11) days, Mohit and Rita in 7(1/5) days and, Rita and Soham can do the same work in 6(2/3) days.

A) Only II B) Both I and II C) Either I or II D) Neither I nor II E) Only I

Answer: A
7. What is the population of city X? Statement I: The population of city X is 80% of that of city Y .The difference of population of city X and city Y is 312500. Statement II: The ratio of the population of males and females in city X is 27:23 and the difference between their population is 1, 00, 000.

A) Only II B) Either I or II C) Only II D) Both I and II E) None of the above

Answer: B
8. Raman mixed two types of wheat for selling the mixture in his shop .What is the quantity (in kg) of the first type wheat in the mixture? Statement I: The price of the second type of wheat is Rs. 50/kg. The difference between the quantity of first type of wheat and second type of wheat in the mixture is 3 kg. Statement II: The price of the first type of wheat is Rs. 47 /kg. Raman earned a profit of 20% by selling the mixture at the rate of Rs. 57.60 /kg.

A) Neither I nor II B) Either I or II C) Both I and II D) Only I E) Only II

Answer: C
9. What is the monthly salary of Himesh? Statement I: The salary of Himesh increased by 33(1/3) % two years ago and 25 % a year ago. The difference in increase was Rs. 32000/3. Statement II: Himesh spends 18% of his salary on grocery and 14 % of it on sports. 14% of total salary is spent on transportation and entertainment. (3/10)th part of the total salary is spent on house rent and thereafter he saves Rs. 32000.

A) Only I B) Either I and II C) Neither I nor II D) Both I and II E) Only II

Answer: B
10. How many students are there in the class? Statement I: If two students weighing 44 kg and 52 kg leave the class and are replaced by two students weighing 64 kg and 56 kg .The average weight of the class increases by 1.2 kg . Statement II: The average weight of the class is Rs. 52 kg.

A) Only II B) Either I or II C) Neither I nor II D) Both I and II E) Only I

Answer: D
Reasoning (e.g. analytical, logical, critical reasoning):
1. 4, 7, 12, 19, 28, ?

A. 49 B. 36 C. 30 D. 39

Answer: D
2. Find the missing number.

A. 14 B. 44 C. 62 D. 51 E. 15

Answer: D
3. Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
_ bc _ ca _ aba _ c _ ca

A. abcbb B. bbbcc C. baaba D. abbcc

Answer: A
4. In a family there are several brothers and sisters. Every 2 boys have brothers as many as sisters and each girl has 2 brothers less than twice as many brothers as sisters. Now find the number of boys and girls.

A. 8, 6 B. 6, 4 C. 6, 8 D. 12, 10

Answer: A
5. Pointing at a photo, Dinesh said, "His father is only son of my mother." The photo belongs to- :

A. Dinesh B. Dinesh's brother C. Dinesh's father D. Dinesh's son

Answer: D
6. If in a certain language PROSE is coded as PPOQE, how is LIGHT coded in that code?

A. LIGFT B. LGGHT C. LGGFT D. LLGFE

Answer: C
7. I walk 30 metres in North-West direction from my house and then 30 metres in South-west direction. After this I walk 30 metres in South-East direction. Now, I turn to my house, in what direction am I going?

A. North-East B. North-West C. South-East D. South-West

Answer: A
8. Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A?

A. Rs. 4, Rs. 23 B. Rs. 13, Rs. 17 C. Rs. 15, Rs. 14 D. Rs. 17, Rs. 13

Answer: B
9. ELFA, GLHA, ILJA, _____, MLNA

A. OLPA B. KLMA C. LLMA D. KLLA

Answer: D
10. Directions: In each of the following questions four possible answers are given. Find out the most suitable answer.
People wear goggles because:

A. They protect their eyes from drizzling light B. They conceal their eyes C. By it they look handsome D. They see better by it

Answer: A
Verbal ability, reading comprehension and analysis:
Directions 1 – 4: Common Information Question
Newton’s surprising success at developing the laws of motion, as well as the development and refinement of other physical laws, led to the idea of scientific determinism. The first expression of this principle was in the beginning of the nineteenth century by Laplace, a French scientist. Laplace argued that if one knew the position and velocity of all the particles in the universe at a given time, the laws of physics would be able to predict the future state of the universe.
Scientific determinism held sway over a great many scientists until the early twentieth century, when the quantum mechanics revolution occurred. Quantum mechanics introduced the world to the idea of the uncertainty principle, which stated that it was impossible to accurately measure both the position and the velocity of a particle at one time. Because Laplace’s omniscience could never occur, even in theory, the principle of scientific determinism was thrown into doubt. However, quantum mechanics does allow for a reduced form of scientific determinism. Even though physicists are unable to know precisely where a particle is and what its velocity is, they can determine certain probabilities about its position and velocity. These probabilities are called wave functions. By use of a formula known as the Schrodinger equation, a scientist with the wave function of a particle at a given time can calculate the particle’s future wave function. These calculations can give the particle’s position or velocity, but not both. Thus, the physicist is in possession of exactly half of the information needed to satisfy Laplace’s view of determinism. Unfortunately, under modern physics theories, that is far as any researcher can go in predicting the future.
1. The passage suggests that if scientific determinism were true:

A. scientists would, in theory, be able to predict the future B. all the particles in the universe would have a measurable position and velocity C. the theory of quantum mechanics would be false D. Schrodinger’s equation could be used to calculate any particle’s Position E. the quantum mechanics revolution would not have occurred

Answer: A
2. According to the passage, wave functions:

A. allow scientists to determine the position and velocity of a particle B. are determined by the Schrodinger equation C. provide a range of possible locations and velocities for a particle D. allow a scientist to calculate the future state of the universe E. threw the proposition of scientific determinism into doubt

Answer: C
3. Which of the following best describes the organization of the passage?

A. A paradox is introduced, competing explanations are offered, and a final resolution is reached. B. Two opposing theories are introduced, critiqued, and reconciled. C. An idea is introduced, its validity is questioned, and its application qualified. D. A theory is introduced, its mathematical basis is examined, and it is rejected. E. An argument is made, an objection to it is detailed, and the argument is revised.

Answer: C
4. Which of the following, if true, would most strengthen the author’s conclusion in the passage’s final sentence?

A. Some physicists believe quantum mechanics will eventually be discarded in favour of a new theory. B. Physicists still use Newton’s laws of motion to calculate the velocities and positions of planets and stars. C. Even if the position and velocity of a particle were known, predicting the future would be impossible because there are too many other variables to calculate. D. There is little to no chance that the modern theory of quantum mechanics will be overturned by another theory. E. No scientists are pursuing studies in the field of determinism.

Answer: D
5. Directions to Solve: In the following questions choose the word which is the exact OPPOSITE of the given words.
FAMOUS

A. disgraced B. unknown C. evil D. popular

Answer: B
6. Directions to Solve: In the following the questions choose the word which best expresses the meaning of the given word.
AUGUST

A. Common B. Ridiculous C. Dignified D. Petty

Answer: C
7. Directions to Solve: Pick out the most effective word(s) from the given words to fill in the blank to make the sentence meaningfully complete.
Catching the earlier train will give us the ________ to do some shopping.

A. chance B. luck C. possibility D. occasion

Answer: A
8. Directions to Solve: In questions given below out of four alternatives, choose the one which can be substituted for the given word/sentence.
The study of ancient societies

A. Anthropology B. Archaeology C. History D. Ethnology

Answer: B
9. Directions to Solve: Each question consist of two words which have a certain relationship to each other followed by four pairs of related words, Select the pair which has the same relationship.
PAIN:SEDATIVE

A. comfort:stimulant B. grief:consolation C. trance:narcotic D. ache:extraction

Answer: B
10. Directions to Solve: In each question, an incomplete statement (Stem) followed by fillers is given. Pick out the best one which can complete incomplete stem correctly and meaningfully.
Even if it rains I shall come means _________

A. if I come it will not rain B. if it rains I shall not come C. I will certainly come whether it rains or not D. whenever there is rain I shall come E. I am less likely to come if it rains

Answer: C