1.
Six foot ball players, seven hockey players, eight tennis players and nine cricket players are to be arranged in a row. In how many can they be arranged such that all the players who play the same game sit together?
2.
How many three-digit odd number can be formed such that if 2 is one of the digits, the following digit is 4?
3.
Two plastic cubes each of which have an integral side (in cm), have the sum of their lateral surface areas equal to 468 sq cm. The sum of their volumes is 945 cubic cm. Find the volume of the hemisphere whose radius equals the sum of the edges of the two cubes (in cubic cm)
4.
There are some two rupee coins and five rupee coins in a bag. If the number of five rupee coins is tripled, then the amount in the bag is increased by 75%. Which of the following can be the number of five rupees coins in the bag?
5.
There are 100 questions in a test paper. Four marks are awarded for each right answer and two marks are deducted for each wrong answer. If Abhilash attempts more than 85 questions and get 70 marks, What is the minimum number of questions that he could have answered correctly?
6.
In an x-metre race, A beats B by 180 m and C beats by 351 m. In the same race, B beats C by 198 m. Find x?
7.
Two friends P and Q start simultaneously from the opposite ends of a race track AB of length 150 m at speeds 60 m/s and 40 m/s respectively. P starts from A and Q starts from B. Once each reaches an end, he immediately turns back and moves towards the other end. They keep moving to and from between the two ends. Find the difference between the distance covered by P and Q by the 8th meeting.
8.
Find the number of common terms of the sequences 24, 29, 34, ….. 474 and 25, 29, 33, ……, 485
9.
If f(x +2) = f(x) + 7 and f(1) = 2; f(2) = 5 then the ratio of f(150) to f(75) is
10.
Twelve years ago, the average of the ages of the members of a joint family having ten members was 25 years. Four years later a member aged 50 years died and a child was born in the family that year. Four years after that, another member aged 50 years died and another child was born. Find the present average age of the members of the family (in years).
11.
There are two groups (A & B) of children in a joint family. There are 3 more children in B as compared to A. While the average age of the children in A is 6 years more than that of B, the combined age of the children in A is less than that of B. After 4 years, the difference in the combined ages of group A and group B will double. If there are less than 10 children in the family, which of the following can be the average age (in years) of the children in B?
12.
Dinku Beora was a chronic alcoholic and because of persistent, health problems he decided to quit drinking. He devised an ingenuous way of doing so. He bought a 750 ml ‘goodbye’ bottle of Old Monk. On the first day, he drank 5% of the contents in it and replaced that quantity with water. Next day he drank 10% of the contents in the bottle and replaced it with water. Like this he continued on the 19th day he drank 95% of the contents in the bottle and replaced it with water and on the 20th and last day he drank the entire contents in the bottle. Find the ratio of the total quantity of alcohol and water that he drank in the entire process.
13.
The difference between the simple interest and the compound interest for two years on a sum invested at 16% p.a. is 384. Find the sum
14.
50 men can complete a job in 20 days working 9 hours a day. They started the job. They worked 9 hours each day for the first x days. At the end of x days, 5 men left. The remaining job was completed by the remaining men working 8 hours a day in 12.5 days. Find x.
15.
In a locality, 180 residents watch only Sony TV, 210 residents watch only Star Plus and 150 residents watch only Zee TV. 540 residents watch atleast one of Sony TV and Star Plus. At most 340 residents watch Star Plus. 90 residents watch all the three channels. Find the minimum possible number of students who watch Sony TV and Zee TV but not Star Plus.
16.
It is difficult for a modern audience, accustomedto the ________ of film and television, to appreciate opera with its grand spectacle and________ gestures.
A.
Sophistication . . . monotonous
B.
C.
Minutiae . . . extravagant
D.
17.
In spite of the ________ of the minister’s sermon, most of the people were ________ when it was over.
A.
B.
C.
D.
Prosaicness . . . affected
18.
Weapons of mass destruction – chemical, biological and nuclear – in the hands of __________ regimes and __________ terrorists constitute the gravest threat to the world.
A.
Totalitarian . . . radical
B.
Authoritarian . . . theocratic
C.
D.
Schismatic . . . unbigoted
E.
19.
The sentences given in each of the following questions, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a letter. From among the four choices given below each question, choose the most logical order of sentences that constructs a coherent paragraph.A. What stands out in Aiyar’s narrative is her own internal conflict as she continually reassesses the comparative advantages of each country without broad black-and-white characterization.B. Littered with anecdotes and real time conversations, the book actually demystifies the enigma that is China.C. Juxtaposed with her own uniquely Indian background, Aiyar often compares India and China, the former the world’s largest democracy the latter a single party communist dictatorship.D. At once amusing and contemplative, Anjan highlights the internal contradictions within Chinese society and polity with aplomb: issues related to corruption, dissent, political ideology, economic progress, internet activism etc are the myriad themes that line the narrative.E. The difference of course is that in India democracy does not bring economic guarantees for its poor and marginalised while non-democratic China has lifted millions out of poverty but continues to stifle political and cultural dissent.
20.
Sentences given in the question, when properly sequenced form a coherent paragraph. Each sentence is labelled with a letter. Choose the most logical order of sentences from among the five given choices to construct a coherent paragraph.(a) ‘Captivation’ comes nearer to the truth.(b) I did not know Nehru at all intimately.(c) But his personality made an immediate impression at one’s first meeting with him, and this impression did not change over the years.(d) In fact, I did not even meet him many times.(e) Nor was the effect he made just an impression; the word is too weak and too cold.
21.
Fill in the correct word in the blanks:Defending the book ___________ unflinchingly [A] / unfeignedly [B], he argues that the ________ crux [A] / emphasis [B] of the book is on religious diversity and tolerance. Despite the ________ bucolic [A] / bubonic [B] dreams of many immigrants, especially from East Europe, they found themselves sucked into urban industries in Chicago and Pittsburgh. With such a __________ lackadaisical [A] / lacklustre [B] attitude, what is the point of investing heavily in technology? The governments both at the Centre and in the states should join hands to _________ ameliorate [A] / alleviate [B] the sufferings of the poor.
22.
The objective of __________ mysticism is to seek unity and identity with a universal principle, while __________ mysticism seeks unity, but not identity with God.
A.
B.
Paranormal . . . irrational
C.
D.
E.
23.
Choose the option in which the usage of the word "DEAL" is INCORRECT or INAPPROPRIATE.
A.
You begin the game by dealing 7 cards to each player
B.
Parents find it difficult to deal with their children’s hostile and stubborn attitude
C.
The nuclear deal between India and the U.S. has sparked off a controversy
D.
Judges usually deal in harsher sentences to repeat offenders
24.
Choose the option in which the usage of the word "LINE" is INCORRECT or INAPPROPRIATE.
A.
Large scale manufacturing has made assembly lines the order of the day
B.
Many politicians see power as a means to line their pocket
C.
The victim was asked to recognize the culprit from the suspects lined against the wall
D.
The latest in the line of Harry Potter novels has broken all records
25.
Choose the option in which the usage of the word "DUCK" is INCORRECT or INAPPROPRIATE.
A.
The demonstrations against the speaker proved to be water on a duck’s back
B.
She is able to adjust to new circumstances like a duck to water
C.
It was a providential escape as he ducked in time and avoided the bullet
D.
It is well known that the leader ducked the meeting deliberately