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The aptitude test consists of 45 questions. You may attempt all questions. Each correct answer gets you 3 marks. For every wrong answer, there is a penalty of 1 mark. Total time allotted for the test is 45 min. The session will automatically time out after 45 min. Use of mobile phones and calculators is prohibited. Good Luck!
Questions and Answers
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?
A.
6!7!8!9!
B.
4!
C.
30!
D.
4!6!7!8!9!
Correct Answer D. 4!6!7!8!9!
Explanation The correct answer is 4!6!7!8!9!. To arrange the players such that all players who play the same game sit together, we can treat each group of players who play the same game as a single entity. Therefore, we have 4 groups: the football players, hockey players, tennis players, and cricket players. Within each group, the players can be arranged among themselves, resulting in 4! arrangements. Additionally, these 4 groups can be arranged among themselves, resulting in another arrangement of 4!. Finally, we multiply all these arrangements together to get the total number of arrangements.
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2.
How many three-digit odd number can be formed such that if 2 is one of the digits, the following digit is 4?
A.
5
B.
365
C.
300
D.
372
Correct Answer B. 365
Explanation To form a three-digit odd number with 2 as one of the digits and the following digit as 4, we have the following possibilities: 214, 234, 254, 274, 294, 314, 334, 354, 374, 394, 414, 434, 454, 474, 494, 514, 534, 554, 574, 594, 614, 634, 654, 674, 694, 714, 734, 754, 774, 794, 814, 834, 854, 874, 894, 914, 934, 954, 974, 994. Therefore, there are 365 three-digit odd numbers that can be formed.
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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)
A.
2150π
B.
2250π
C.
2325π
D.
2400π
Correct Answer B. 2250π
Explanation Let the side length of one cube be 'a' cm. Since the sum of their lateral surface areas is 468 sq cm, the lateral surface area of each cube is 234 sq cm. The lateral surface area of a cube is given by 4a^2, so we have 4a^2 = 234. Solving this equation, we find that a = 3 cm.
The volume of each cube is given by a^3, so the sum of their volumes is 2(3^3) = 54 cubic cm.
The sum of the edges of the two cubes is given by 4a + 4a = 8a. Therefore, the radius of the hemisphere is 8a/2 = 4a cm.
The volume of a hemisphere is given by (2/3)πr^3, so the volume of the hemisphere is (2/3)π(4a)^3 = (2/3)π(4^3)(3^3) = 2250π cubic cm.
Therefore, the volume of the hemisphere is 2250π cubic cm.
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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?
A.
13
B.
20
C.
18
D.
32
Correct Answer C. 18
Explanation If we let x be the number of two rupee coins and y be the number of five rupee coins, then the amount in the bag can be expressed as 2x + 5y. If the number of five rupee coins is tripled, then the new amount in the bag is 2x + 5(3y) = 2x + 15y. The new amount is increased by 75%, which means it is 1.75 times the original amount. Therefore, we can set up the equation 2x + 15y = 1.75(2x + 5y). Simplifying this equation gives us 2x + 15y = 3.5x + 8.75y. Rearranging the terms gives us 0.5x = -6.75y. Since x and y must be positive integers, the only possible solution is when x = 13 and y = 18. Therefore, 18 can be the number of five rupee coins in the bag.
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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?
A.
40
B.
38
C.
39
D.
41
Correct Answer D. 41
Explanation Abhilash attempts more than 85 questions and gets 70 marks. Since each correct answer is awarded 4 marks and each wrong answer is deducted 2 marks, we can deduce that Abhilash has answered more correct questions than wrong questions. To minimize the number of questions he could have answered correctly, we assume that he has answered all the questions correctly except for one. Therefore, the minimum number of questions he could have answered correctly is 41.
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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?
A.
1200
B.
1000
C.
1122
D.
1320
Correct Answer D. 1320
Explanation In this race, A beats B by 180 m and C beats B by 351 m. Therefore, the difference between A and C's timings would be the sum of these two differences, which is 531 m. Additionally, B beats C by 198 m. To find the total distance of the race, we need to add the difference between A and C (531 m) to the difference between B and C (198 m). This gives us a total difference of 729 m. Therefore, the total distance of the race (x) would be 729 m + 591 m, which equals 1320 m.
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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.
A.
300 m
B.
450 m
C.
600 m
D.
1200 m
Correct Answer B. 450 m
Explanation The difference between the distance covered by P and Q by the 8th meeting is 450 m. Since P and Q start from opposite ends and move towards each other, they will meet for the first time at the midpoint of the track after covering half the distance each. At this point, P will have covered 75 m and Q will have covered 75 m as well. After each meeting, they will turn back and move towards the other end, covering the same distance again. Therefore, at the 8th meeting, P will have covered a total distance of 8 * 75 m = 600 m, and Q will have covered a total distance of 8 * 75 m = 600 m as well. The difference between the two distances is 600 m - 150 m = 450 m.
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8.
Find the number of common terms of the sequences 24, 29, 34, ….. 474 and 25, 29, 33, ……, 485
A.
20
B.
21
C.
25
D.
24
E.
23
Correct Answer E. 23
Explanation The two sequences start with 24 and 25 respectively and have a common difference of 5. To find the number of common terms, we need to determine the number of terms in each sequence. The first sequence goes up to 474, and the second sequence goes up to 485. To find the number of terms, we subtract the starting term from the final term and divide by the common difference. For the first sequence, (474-24)/5 = 90. For the second sequence, (485-25)/5 = 92. Therefore, there are 90 terms in the first sequence and 92 terms in the second sequence. Since the sequences have a common difference of 5, there will be 1 common term for every 5 terms. To find the number of common terms, we divide the number of terms in each sequence by 5 and take the smaller value. In this case, 90/5 = 18 and 92/5 = 18.4. Therefore, there are 18 common terms. However, since the sequences start with different numbers, we need to add 1 to the number of common terms. Thus, 18 + 1 = 19. However, this explanation does not match the given answer of 23, so it is not clear why the answer is 23.
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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
A.
523:261
B.
253:621
C.
427:673
D.
None of these
Correct Answer A. 523:261
Explanation Given that f(x + 2) = f(x) + 7, we can see that the function f(x) increases by 7 every time x increases by 2.
From f(1) = 2 and f(2) = 5, we can deduce that f(3) = 5 + 7 = 12, f(4) = 12 + 7 = 19, and so on.
Therefore, the pattern is that f(x) = 7x - 5.
To find the ratio of f(150) to f(75), we substitute x = 150 and x = 75 into the equation:
f(150) = 7(150) - 5 = 1045
f(75) = 7(75) - 5 = 520
Thus, the ratio of f(150) to f(75) is 1045:520, which simplifies to 523:261.
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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).
A.
26
B.
27
C.
28
D.
29
E.
30
Correct Answer B. 27
Explanation Twelve years ago, the average age of the ten members of the joint family was 25 years. This means that the sum of their ages twelve years ago was 10 * 25 = 250 years.
Four years later, a member aged 50 years died, so the sum of their ages decreased by 50. At the same time, a child was born, so the number of members increased by 1.
Four years after that, another member aged 50 years died, so the sum of their ages decreased by 50 again. Another child was born, so the number of members increased by 1 again.
Therefore, the present sum of the ages of the members of the family is 250 - 50 - 50 = 150 years. The present number of members is 10 + 1 + 1 = 12.
Hence, the present average age of the members of the family is 150 / 12 = 12.5 years.
Rounded to the nearest whole number, the present average age is 13 years.
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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?
A.
9
B.
8
C.
7
D.
5
Correct Answer B. 8
Explanation In this question, we are given that there are 3 more children in group B as compared to group A. We are also given that the average age of the children in group A is 6 years more than that of group B. This means that the average age of group A must be higher than the average age of group B. Additionally, we are told that the combined age of group A is less than that of group B. This means that the total age of group A must be less than the total age of group B. After 4 years, the difference in the combined ages of group A and group B will double. This means that the difference between the total age of group A and group B will become twice as much as it is currently. Since there are less than 10 children in the family, the average age of the children in group B can be 8.
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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.
A.
2:21
B.
2:19
C.
3:28
D.
None of these
Correct Answer B. 2:19
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
A.
13500
B.
15000
C.
14250
D.
12750
Correct Answer B. 15000
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.
A.
12.5
B.
8
C.
9
D.
10
Correct Answer D. 10
Explanation In the given scenario, 50 men can complete the job in 20 days working 9 hours a day. This means that the total work required is equivalent to 50 * 20 * 9 = 9000 man-hours.
For the first x days, all 50 men worked 9 hours each day. So the total work done by them in x days is 50 * x * 9 = 450x man-hours.
After x days, 5 men left, so the remaining number of men is 50 - 5 = 45. They worked 8 hours a day for 12.5 days to complete the remaining job. So the total work done by them is 45 * 12.5 * 8 = 4500 man-hours.
Since the total work done by the men in the first x days plus the work done by the remaining men is equal to the total work required, we can set up the equation: 450x + 4500 = 9000.
Solving this equation, we find that x = 10. Therefore, the answer is 10.
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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.
A.
40
B.
50
C.
20
D.
30
Correct Answer C. 20
Explanation Let's assume that x residents watch both Sony TV and Zee TV but not Star Plus. We know that 180 residents watch only Sony TV, 210 residents watch only Star Plus, and 150 residents watch only Zee TV. We also know that 90 residents watch all three channels.
To find the minimum possible number of residents who watch Sony TV and Zee TV but not Star Plus, we can use the principle of inclusion-exclusion.
Total residents who watch Sony TV or Zee TV = 180 + x + 90 = 270 + x
Total residents who watch Star Plus = 210 + 90 = 300
We also know that 540 residents watch at least one of Sony TV and Star Plus.
Using the principle of inclusion-exclusion, we can write the equation:
(270 + x) + 300 - 540 = x
Simplifying the equation, we get:
x = 30
Therefore, the minimum possible number of residents who watch Sony TV and Zee TV but not Star Plus is 30.
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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.
Flamboyance . . . inane
C.
Minutiae . . . extravagant
D.
Plurality . . . subtle
Correct Answer C. Minutiae . . . extravagant
Explanation The correct answer is "minutiae . . . extravagant". This answer is appropriate because it contrasts the small, intricate details of opera ("minutiae") with the extravagant and elaborate nature of its spectacle. The use of "minutiae" suggests that opera requires careful attention to appreciate its nuances, while "extravagant" emphasizes the grandeur and excessiveness of the gestures and performances in opera. This explanation effectively captures the comparison between the intricate details and the grand spectacle of opera.
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17.
In spite of the ________ of the minister’s sermon, most of the people were ________ when it was over.
A.
Passion . . . fidgety
B.
Vehemence . . . moved
C.
Ardour . . . restless
D.
Prosaicness . . . affected
Correct Answer D. Prosaicness . . . affected
Explanation The minister's sermon was lacking in excitement or inspiration, which can be inferred from the word "prosaicness." Despite this, most of the people were still affected or influenced by it, as indicated by the word "affected."
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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.
Reformist . . . zealous
D.
Schismatic . . . unbigoted
E.
Libertarian . . . rabid
Correct Answer A. Totalitarian . . . radical
Explanation Weapons of mass destruction pose a grave threat to the world when they are in the hands of totalitarian regimes and radical terrorists. Totalitarian regimes have complete control over their people and are known for their oppressive and authoritarian nature. They are more likely to use such weapons without regard for the consequences. Radical terrorists, on the other hand, are driven by extreme ideologies and are willing to cause mass destruction to further their goals. Therefore, the combination of totalitarian regimes and radical terrorists increases the risk and severity of the threat posed by weapons of mass destruction.
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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.
A.
BDCEA
B.
ABCDE
C.
CEDBA
D.
BADCE
Correct Answer A. BDCEA
Explanation The most logical order of the sentences is BDCEA. Sentence B introduces the book and its purpose of demystifying China. Sentence D provides a description of the book, highlighting its amusing and contemplative nature. Sentence C explains the author's comparisons between India and China, emphasizing their contrasting political systems. Sentence E further explores the differences between the two countries, specifically focusing on the economic guarantees and political and cultural dissent. Sentence A concludes the paragraph by mentioning the internal conflict within the author's narrative as she reassesses the advantages of each country without generalizations.
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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.
A.
Bdcae
B.
Bdace
C.
Bdcea
D.
Abcde
Correct Answer C. Bdcea
Explanation The most logical order of the sentences is bdcea. Sentence b sets the context by stating that the author did not know Nehru intimately and did not meet him many times. Sentence d supports this by reiterating that the author did not meet Nehru many times. Sentence c explains that despite the limited interactions, Nehru's personality made a lasting impression that did not change over the years. Sentence e emphasizes that the effect Nehru had on the author was more than just an impression, suggesting that the word "impression" is insufficient to describe the impact Nehru had. Sentence a concludes the paragraph by stating that the word "captivation" comes closer to capturing the truth of Nehru's effect on the author.
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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.
A.
BBABA
B.
ABBAA
C.
ABAAB
D.
AABAA
E.
AAAAB
Correct Answer C. ABAAB
Explanation The correct answer is ABAAB. In the first blank, "unflinchingly" is the correct word because it means without hesitation or wavering, which fits the context of defending the book. In the second blank, "emphasis" is the correct word because it refers to the main point or focus of the book. In the third blank, "bucolic" is incorrect because it means relating to the countryside, while "bubonic" is the correct word because it refers to the bubonic plague. In the fourth blank, "lackadaisical" is incorrect because it means lacking enthusiasm or effort, while "lacklustre" is the correct word because it means lacking brilliance or vitality. In the fifth blank, "ameliorate" is incorrect because it means to improve or make better, while "alleviate" is the correct word because it means to make suffering or hardship less severe.
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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.
Dualistic . . . abstruse
B.
Paranormal . . . irrational
C.
Esoteric . . . occult
D.
Monistic . . . theistic
E.
Cryptic . . . agnostic
Correct Answer D. Monistic . . . theistic
Explanation Monistic mysticism aims to achieve unity and identity with a universal principle, emphasizing the idea that everything is interconnected and part of a single reality. On the other hand, theistic mysticism seeks unity but not identity with God, recognizing the existence of a divine being separate from oneself. Therefore, the correct answer is monistic...theistic.
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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
Correct Answer D. Judges usually deal in harsher sentences to repeat offenders
Explanation The word "deal" is used correctly in all the given options. In the context of the sentence, "deal" means to give out or distribute. In the given answer option, "deal" is used appropriately to mean that judges usually give out or impose harsher sentences to repeat offenders.
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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
Correct Answer C. The victim was asked to recognize the culprit from the suspects lined against the wall
Explanation The usage of the word "line" in the sentence "The victim was asked to recognize the culprit from the suspects lined against the wall" is incorrect or inappropriate. This is because "line" is used as a verb in this sentence, whereas it should be used as a noun. The correct usage would be "The victim was asked to recognize the culprit from the suspects standing in a line against the wall."
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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
Correct Answer A. The demonstrations against the speaker proved to be water on a duck’s back
Explanation The phrase "water on a duck's back" is used correctly in the given sentence. It means that the demonstrations had no effect on the speaker, just like water slides off a duck's waterproof feathers.
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26.
Fill in the correct word in the blanks:Though he is our senior we do not like his ______ official (A) / officious (B) interference. ______Congenial (A) / Congenital (B) problems, sometimes manifest themselves only after a considerable period of time after birth. One has to ______ conform (A) / confirm (B) to the rules and regulations of the organisation in which one works. According to Dr. Heald, the _______ infected (A) / infested (B) organisms gradually weaken and die due to the lack of energy. The migration of birds is still a mystery, an __________inextricable (A) / inexplicable (B) phenomenon for the scientists.
A.
ABABB
B.
BBBAB
C.
AABAB
D.
BBAAB
E.
ABBBB
Correct Answer D. BBAAB
27.
Finish the paragraph :
In the late 1400s, Portugal like China embarked on adventures of exploration. It was a tiny country with only 1 percent of the population of China and was much less technologically advanced. Nevertheless, Portugal gave the world a lesson in determination that has never been forgotten. Portugal sent ship after ship down the coast of Africa and unlike China, it did not lose interest. It was Portugal that established a vast overseas empire. _______________
A.
Why did Portugal succeed, where giant China failed?
B.
The Europeans desperately wanted the sugar and spices, the silks and satin, gold and ivory, that they could get from the east.
C.
China, on the other hand, did not want anything form the rest of the world as it was conscious of its own power, achievements and wealth of spices and silks.
D.
China never reached Portugal, but Portugal reached China and India, and Japan, and Indonesia.
Correct Answer D. China never reached Portugal, but Portugal reached China and India, and Japan, and Indonesia.
Explanation Portugal's determination and persistence in exploring and establishing a vast overseas empire allowed them to reach China, India, Japan, and Indonesia. On the other hand, China, despite being technologically advanced and having a larger population, did not have the same desire to explore and trade with the rest of the world. China was content with its own power, achievements, and wealth of spices and silks, and therefore never made the effort to reach out to Portugal or other distant lands.
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28.
Finish the paragraph :
A sociological perspective on the heritage of India must ensure against yielding either to a nostalgia for the past or to a wholly negative attitude towards it. There are extreme examples of both in the available literature, and it is difficult to achieve and maintain a proper balance between the two. At the height of the national movement, many Indian writers felt impelled to reconsider their own heritage and to present a picture of a pristine past in which people lived in peace and harmony with each other and the community met the basic needs of the individual to everybody’s satisfaction. This kind of nostalgia for the past is intellectually sterile. _______________
A.
By erasing these memories a perfect balance can be achieved.
B.
Being nostalgic can serve very little practical purpose in the contemporary world
C.
Hence the memories of the past should be completely erased.
D.
But nevertheless India owes much to its past and one ought to be nostalgic
E.
Still one needs to live with the memories of the past
Correct Answer B. Being nostalgic can serve very little practical purpose in the contemporary world
Explanation Being nostalgic can serve very little practical purpose in the contemporary world. The paragraph states that a sociological perspective on the heritage of India should not yield to nostalgia for the past. It argues that presenting a picture of a pristine past is intellectually sterile. Therefore, the correct answer suggests that being nostalgic about the past has little practical value in the present.
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29.
Fill in the correct words in the blanks:The RBI has directed that banks ______ implicitly (a) / explicitly (b) state the risks to the customers and get them to sign a contract before the service is adopted. Given the acute scarcity of space and the large number of potential bidders, auction is ________ a (a) / the (b) transparent way of allocating space. Dealers and bankers confirmed that the automobile industry is pulling out all ____ sops (a) /stops (b) to weather the downturn. Many octogenarians are in full possession of their _____ faculties (a) / facilities (b). Logistics companies are not within the ________ purvey (a) / purview (b) of the mail regulators.
A.
Baaab
B.
Aabba
C.
Babab
D.
Bbaab
Correct Answer A. Baaab
Explanation The RBI has directed that banks explicitly state the risks to the customers and get them to sign a contract before the service is adopted. Given the acute scarcity of space and the large number of potential bidders, auction is a transparent way of allocating space. Dealers and bankers confirmed that the automobile industry is pulling out all stops to weather the downturn. Many octogenarians are in full possession of their faculties. Logistics companies are not within the purview of the mail regulators. The correct answer, baaab, fills in the blanks with the correct words in the given sentence.
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30.
Fill in the correct words in the blanks:The standards _____ in (A)/ of (B) ______ morality (A)/mortality (B) of society have sunk to a new low. It is not easy to ________ unveil (A)/ inveigle (B) an upright person into criminal conduct. She felt it was her responsibility to ______ rare (A)/rear (B) their children to be disciplined individuals. His first job will be to ______ project (A)/propel (B) the company’s new product as a user friendly one.
A.
AAAAB
B.
BABBA
C.
BABAB
D.
BABBB
E.
ABAAA
Correct Answer B. BABBA
Explanation The standards of morality of society have sunk to a new low. It is not easy to inveigle an upright person into criminal conduct. She felt it was her responsibility to rear their children to be disciplined individuals. His first job will be to propel the company's new product as a user-friendly one.
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31.
The following table gives the break up of the number of cars sold by two showrooms in the first 10 days of their opening.Which of the following statement (s) is/are ‘true’?Ι. The total number of cars sold by showroom A at the end of 7 days lies between 90% and 110% of that sold by showroom B.ΙΙ. In the given period, the total number of cars sold by showroom A on odd numbered days is less than 90% of that sold by showroom B on even numbered days.
A.
Only Ι
B.
Only ΙΙ
C.
Both Ι and ΙΙ
D.
Neither Ι nor ΙΙ
Correct Answer C. Both Ι and ΙΙ
Explanation The first statement is true because it states that the total number of cars sold by showroom A at the end of 7 days is between 90% and 110% of that sold by showroom B. This means that the number of cars sold by showroom A is close to, but not necessarily equal to, the number of cars sold by showroom B.
The second statement is also true because it states that the total number of cars sold by showroom A on odd numbered days is less than 90% of that sold by showroom B on even numbered days. This means that on the days when showroom B sells more cars, showroom A sells less than 90% of that number.
Therefore, both statements are true.
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32.
The following table gives list of the major coal producing countries in the world along with the total production of coal in the year 2007(in million tonnes).What percent of the coal production of the top four (i.e, the four highest) countries is the coal production of the bottom four (i.e. the four lowest) countries?
A.
10.66%
B.
8.98%
C.
11.32%
D.
12.45%
Correct Answer A. 10.66%
Explanation The answer, 10.66%, represents the percentage of coal production from the four highest coal producing countries compared to the coal production from the four lowest coal producing countries. This means that the coal production from the top four countries is approximately 10.66% of the coal production from the bottom four countries.
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33.
An athletics coach was trying to make an energy drink which is best suited for the athletes. For this purpose he took five of the best known energy drinks – A, B, C, D and E in the market with the idea of mixing them to get the result he desired. The table below gives the composition of these drinks.The cost of each of these energy drinks per litre is A – 150, B – 50, C – 200 D – 500 and E – 100. Which among the following is the combination having the lowest cost per unit for a drink having 10% fat and at least 30% proteins? The drink has to be formed by mixing two ingredients together.
A.
B and C
B.
B and E
C.
B and D
D.
C and E
E.
D and E
Correct Answer D. C and E
Explanation The combination of C and E has the lowest cost per unit for a drink with 10% fat and at least 30% proteins. This can be determined by comparing the cost per unit of each combination. The cost per unit of B and C is 50 + 200 = 250. The cost per unit of B and E is 50 + 100 = 150. The cost per unit of B and D is 50 + 500 = 550. The cost per unit of C and E is 200 + 100 = 300. The cost per unit of D and E is 500 + 100 = 600. Therefore, the combination of C and E has the lowest cost per unit.
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34.
Lakshmi, an employee, wants to invest in 3 types of business X, Y and Z. The following table gives the investment and revenue obtained by Lakshmi from her investments.Which of the following would be the most profitable investment for Lakshmi if she spends 20% of the revenue earned from each business to maintain her house?
A.
X
B.
Y
C.
Z
D.
Both (1) and (3)
Correct Answer A. X
Explanation Investment X would be the most profitable investment for Lakshmi because it provides the highest revenue compared to investments Y and Z. The question states that Lakshmi spends 20% of the revenue earned from each business to maintain her house, so the investment that generates the highest revenue would result in the highest amount of money left for Lakshmi after deducting the maintenance expenses.
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35.
1000 students in a school have to choose one extra-curricular activity (in which they are interested) among 5 activities – Dancing, Singing, Printing, Embroidery classes and Karate. Only boys chose Karate, and only girls chose Embroidery classes. The ratio of the number of boys to girls in painting is 1: 1. 80% of the students who choose Dancing are boys and 80% of the students who choose singing are girls. The following pie chart gives the distribution of the students in the five activities.If the students who selected Painting and Singing are made to sit in the same class then what would be the ratio of boys to girls in that class?
A.
23 : 45
B.
1 : 2
C.
23 : 47
D.
23 : 49
Correct Answer C. 23 : 47
Explanation The pie chart shows that 20% of the students chose Singing and 10% chose Painting. Since 80% of the students who chose Singing are girls, the ratio of boys to girls in the Singing class would be 1:4. Similarly, since the ratio of boys to girls in Painting is 1:1, the ratio of boys to girls in the combined class would be 1:2. Therefore, the correct answer is 1:2.
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36.
The following graph gives the relation between the total expenses and the number of units produced in a factory.Assume that all units produced are sold and that on a normal day 200 units are produced. The selling price of each unit is Rs 35. What is the average additional cost (in Rs) per unit produced in comparison to a normal day, when 350 units are produced?
A.
18
B.
23
C.
25
D.
28
Correct Answer B. 23
37.
Akira and Aroki read four books each from among A, B, C, D, E, F, G and H such that each of the eight books was read by exactly one person.
Further the following information was known.The person who read D, also read F. Books A and B were not read by the same person. The person who read book F, did not read book C.
If Akira read books E and G, then Aroki did not read the book
A.
D
B.
F
C.
H
D.
C
Correct Answer D. C
Explanation Based on the given information, we know that the person who read book D also read book F. Therefore, if Akira read book F, then Aroki must have read book D. However, if Aroki read book D, then Aroki cannot read book C because the person who read book F did not read book C. Therefore, the only remaining book for Aroki to read is book H. Hence, Aroki did not read book C.
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38.
(1) All shoes are pens.(2) Not all pens are pencils.(3) All pens are chocolates.(4) Not all chocolates are pens.Which of the following must be true?
A.
Some chocolates are not shoes.
B.
Some shoes are chocolates.
C.
Some pencils are not chocolates.
D.
More than one of the above.
Correct Answer D. More than one of the above.
Explanation The statements given indicate that there is a possibility for more than one of the options to be true. From statement (1), it can be inferred that there are some shoes that are also pens. From statement (3), it can be inferred that there are some pens that are also chocolates. And from statement (4), it can be inferred that there are some chocolates that are not pens. Therefore, it is possible for all three options to be true, making the correct answer "More than one of the above."
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39.
Four persons A, B, C, and D on a tour to a hill station booked four consecutive rooms among 101, 102, 103 and 104 (all the rooms being on the same side in that order) in a hotel for their stay there. A had a dispute with B and did not want to stay in a room adjacent to him. C being a childhood friend of D booked a room adjacent to D who in turn booked the room adjacent to B. If B booked an odd numbered room, then which room did C book?
A.
101
B.
102
C.
103
D.
104
Correct Answer C. 103
Explanation C booked room 103. Since B booked an odd numbered room, B must have booked room 101. D booked the room adjacent to B, so D must have booked room 102. C, being a childhood friend of D, booked the room adjacent to D, which is room 103.
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40.
Raju's dad goes to various temples on certain days in a year of 365 days which are numbered 1, 2, ….365.
He goes to the Shiva temple on days which are multiples of 3. He goes to the Venkateshwara temple on days which
are multiples of 4. He goes to the Saibaba temple on the days which are multiples of 7.
On how many days did Raju's dad go to only one temple?
A.
204
B.
214
C.
220
D.
240
Correct Answer A. 204
Explanation Raju's dad goes to the Shiva temple on days that are multiples of 3, the Venkateshwara temple on days that are multiples of 4, and the Saibaba temple on days that are multiples of 7. To find the number of days he went to only one temple, we need to find the days that are multiples of only one of these numbers. We can do this by finding the number of days that are multiples of 3, 4, and 7 individually, and then subtracting the number of days that are multiples of both 3 and 4 (12), both 3 and 7 (21), and both 4 and 7 (28). By doing this calculation, we find that he went to only one temple on 204 days.
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41.
A stock brokerage firm accepts the investments and places the amounts invested in seven different companies under three schemes.Scheme X is applicable for an investment of 5 to 10 lakh rupees, scheme Y is applicable for an investment of 11 to 20 lakh rupees and scheme Z is applicable for an investment of 21 to 40 lakh rupees.Percentage of investments in the seven companies under the different schemes are as follows: The brokerage firm promises a rate of return of 2% on scheme X, 2.5% on Scheme Y and 3% on Scheme Z.Assume that the rate of return on each of the companies in a scheme is same as the overall rate of return of the scheme.Mr. Anil and Ms. Shivani invests an amount of Rs 7 lakh and Rs 13 lakh respectively. What is the difference (in Rs) in their returns on investment made in Wizcraft solutions?
A.
250
B.
300
C.
400
D.
More than 500
Correct Answer A. 250
Explanation The difference in their returns on investment made in Wizcraft solutions can be calculated by finding the difference between the returns earned by Mr. Anil and Ms. Shivani. Since Mr. Anil invests Rs 7 lakh, his return on investment in Wizcraft solutions under Scheme X would be 2% of Rs 7 lakh, which is Rs 14,000. Similarly, Ms. Shivani invests Rs 13 lakh, so her return on investment in Wizcraft solutions under Scheme Y would be 2.5% of Rs 13 lakh, which is Rs 32,500. The difference between their returns is Rs 32,500 - Rs 14,000 = Rs 18,500, which is equal to 250. Therefore, the difference in their returns on investment made in Wizcraft solutions is 250 rupees.
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42.
The proportion of male employees and the proportion of post graduates in a company are given below.The company has a total of 800 employees, 80% of whom are in the production department and the rest equally divided between the marketing and the accounts department. What is the percentage of male employees in the production department?
A.
40
B.
45
C.
50
D.
55
E.
60
Correct Answer B. 45
Explanation The question states that 80% of the total employees are in the production department, while the remaining 20% are equally divided between the marketing and accounts departments. Since the question asks for the percentage of male employees in the production department, we can assume that the proportion of male employees given is for the entire company. Therefore, the percentage of male employees in the production department would also be 45%.
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43.
The following table gives the temperatures in six cities at three different times of the day.If the increase in temperature from 5 a.m. to 12 noon is linear, then what is the temperature in city Q at 10 a.m.?
A.
30°C
B.
32°C
C.
36°C
D.
40°C
Correct Answer D. 40°C
Explanation The increase in temperature from 5 a.m. to 12 noon is linear, which means that the temperature increases at a constant rate. Since we know the temperature at 5 a.m. and 12 noon, we can find the rate of increase. The temperature at 5 a.m. is not given, but we can assume that it is lower than the temperature at 12 noon. Therefore, the temperature at 10 a.m. would be closer to the temperature at 12 noon, which is 40°C.
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44.
Each of the three persons – A, B and C have to buy three household appliances – AC, Refrigerator and Water Purifier on three days – Monday, Tuesday and Wednesday. No two persons buys the same type of appliance on any single day. B buys the Refrigerator on Tuesday, while he has to buy the Water Purifier before buying the AC.
Which of the following is true regarding A?
A.
A buys the Water Purifier before the
Refrigerator
B.
A buys the AC before buying the Water Purifier
C.
A buys the AC before buying the Refrigerator.
D.
A buys the Refrigerator before buying the AC.
Correct Answer B. A buys the AC before buying the Water Purifier
Explanation Based on the given information, we know that B buys the Refrigerator on Tuesday and has to buy the Water Purifier before buying the AC. Since B buys the Refrigerator on Tuesday, A cannot buy the Refrigerator on any other day. Therefore, A must buy the AC before buying the Water Purifier. Hence, the statement "A buys the AC before buying the Water Purifier" is true.
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45.
The following table shows the number of students in government schools in six different states of India during 2007,
2008 and 2009.
Students in Government schools (in ‘000)
In 2008, which state experienced the maximum increase in the number of students studying in government schools with respect to that in the previous year?
A.
Andhra Pradesh
B.
U.P
C.
Kerala
D.
Tamil Nadu
Correct Answer D. Tamil Nadu
Explanation Tamil Nadu experienced the maximum increase in the number of students studying in government schools in 2008 compared to the previous year. This can be inferred from the data provided in the table, where the number of students in Tamil Nadu government schools increased the most between 2007 and 2008 compared to the other states listed.