MAT 2001 Question Paper

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Read the following passage carefully and then answer these questions based on what is stated or implied in the passage.
Passage I :

We call a man irrational when he acts in a passion, when he cuts off his nose to spite his face. He is irrational because he forgets that, by indulging the desire which he happensto feel moststrongly at the moment, he will thwart other desires which in the long run are more important to him. If men were rational, they would take a more correct view of their own interest than they do at present; and if all men acted from enlightened self-interest the world would be a paradise in comparison with whatit is. | do not maintain that there is nothing better than self-interest as a motive to action; but I do maintain that self-interest, like altruism, is better when it is enlightened than when it is
unenlightened. In an ordered communityit is very rarely to a man's interest to do anything which is very harmful to others. The less rational a man is, the oftener he will fail to perceive how what injures others also injures him, because hatred or envy will blind him. Therefore, although I do not pretend that enlightened self-interest is the highest morality, I do maintain that, if it became common, it would make the world an immeasurably better place than it is.

Rationality in practice may be defined as the habit of rememberingall our relevant desires, and not only the one which happens at the momentto be strongest. Like rationality in opinion, it is a matter of degree. Complete rationality is no doubt an unattainable ideal, but so long as we continue to classify some men as lunatics it is clear that we think some men morerational than others. I believe that all solid progress in the world consists of an increase in rationality, both practical and theoretical. To preach an altruistic morality appears to me somewhat useless, because it will appeal only to those who already have altruistic desires. But to preach rationality is some what different, since rationality helps us to realise our own desires on the whole, whatever they may be. A man is rational in proportion as his intelligence informs and controls his desires. I believe that the control of our acts by our intelligence is ultimately what is of most importance, and that alone will make social life remain possible as science increases the means at our disposal for injuring each other. Education, the press, politics, religion—in a word, all the great forces in the world—areat present on the sideofirrationality, they are in the hands of men who flatter King Demosin orderto
lead him astray. The remedy doesnot lie in anything heroically cataclysmic, but in the efforts of individuals towards a more sane and balanced view of our relations to our neighbours and to the world. It is to intelligence, increasingly side-spread, that we must look for the solution of the ills from which our world is suffering.

MAT 2001 - Question 1

What is the central idea of the passage ?

MAT 2001 - Question 2

What is the author's attitude to modern development in science and communications ?

MAT 2001 - Question 3

Rationality, according to the passage means mainly

MAT 2001 - Question 4

The author feels thatit is impractical to appeal to altruism because

Read the following passage carefully and then answer these questions based on it.
Passage II :

Over four hundred years after his death, scholars are still travelling the mysteries of Michelangelo's art. Recently one mystery that was revealed was that his famous drawing of a pensive Cleopatra included a hidden drawing of a different Cleopatra on the reverse side. This hidden Cleopatra shows a tormented woman, whose eyes stare out at the viewer and whose mouth is open, screaming in horror. The two images, drawn on two sides of the same paper, can be viewed simultaneously. A second mystery concerns Michelangelo's architectural plan for the dome of St Peter's Basilica in Rome. Did he intend for the dome to look like the model he built between 1558 and 15617? Or did he change his mind after building the model and decide to elevate the dome in the way it is today? Scholars do not agree on the answer. A third mystery about one of the greatest artists who ever .lived was why he destroyed hundreds or thousands of his drawings before he died. Did he feel they were unimportant? Did he want posterity to see only his finished products?

MAT 2001 - Question 6

It can be inferred from the passage that the most unusual aspect of the Cleopatra drawingis that

MAT 2001 - Question 7

The word ‘pensive’ (underlined) can best be substituted with the word

MAT 2001 - Question 8

The dome of St Peter's Basilica

MAT 2001 - Question 9

According to the passage, Michelangelo is

MAT 2001 - Question 10

Why did Michelangelo destroy so many drawings before he died?

In these questions, choose the word from the alternatives (a), (b), (c) and (d) that is similar in meaning to the word given in capital letters.

In these qeustions, choose the word from the alternatives (a), (b), (c) and (d) that is opposite in meaning to the word given in capital letters.

In each of these questions, a related pair of words is followed by four pairs of words (a), (b), (c) and (d). Choose the pair that best expressesa relationship similar to that expressed in the given pair.

MAT 2001 - Question 21

DRILL : BORE ::

MAT 2001 - Question 22

DOE : STAG ::

MAT 2001 - Question 23

PHILATELIST : STAMPS ::

MAT 2001 - Question 24

UMPIRE : GAME ::

MAT 2001 - Question 25

NUCLEUS : CELL ::

Each of the sentences in these questions has a blank indicating that something has been omitted. Beneath each sentence, four choices of words or phrases (a), (b), (c) and (d) are given. Choose the one that bestfits the meaning of the sentence as a whole.

MAT 2001 - Question 26

Criticism that tears down without suggesting areas of improvementis not ........... and should be avoided if possible.

MAT 2001 - Question 27

Many educators believe that bilingual education has proved to have definite .......... education in any one tongue.

MAT 2001 - Question 28

Ballet dancers, ........... actors, must spend many hoursa daypractising before a performance.

MAT 2001 - Question 29

The weather in the far north is not .......... it is down south.

MAT 2001 - Question 30

Language, culture and personality may be considered independently of each other in thought, but they are .......... in fact.

In these questions, each sentence has four underlined portions marked A, B, C and D. Choose that portion which must be changed so that the sentence becomes correct.

MAT 2001 - Question 31

River water pollution (A) / is often indicate (B) / by (C) / algae distribution. (D)

MAT 2001 - Question 32

The ways of communication (A) / has (B) /changed dramatically (C) / since (D) / the last century.

MAT 2001 - Question 33

Which (A) / determines a (B) /good meal varies (C) / from country to (D) / country.

MAT 2001 - Question 34

Gandhiji lived a noble life of fasting (A) / and poverty (B) / in order to work for peaceful (C) / and independence (D)

MAT 2001 - Question 35

The first year of child's life is (A) / characterised (B) / in (C) / rapid physical (D) / growth.

In each of these questions, an idiomatic expression is given. Choose the correct choice which expresses the meaning to the given expression from the four options (a), (b), (c) and (d).

MAT 2001 - Question 36

To smell a rat

MAT 2001 - Question 37

To be above board

MAT 2001 - Question 38

To have the gift of the gab

MAT 2001 - Question 39

To fall flat

MAT 2001 - Question 40

Right-hand man

For the following questions answer them individually
MAT 2001 - Question 41

Walking at $$\frac{3}{4}$$ of his usual pace, a man reaches his office 20 minutes late. Find his usual time.

MAT 2001 - Question 42

If the difference between the simple and the compound interests on some principal amount at 20% for 3 years is Rs 48, then the principal amount must be

MAT 2001 - Question 43

In a zoo, there are rabbits and pigeons. If their heads are counted, these are 90 while their legs are 224. Find the number of pigeons in the zoo.

MAT 2001 - Question 44

The sides of a rectangular field are in the ratio 3 : 4 with its area as 7500 sq m. The cost of fencing the field @ 25-paise per metre is

MAT 2001 - Question 45

A and B together can do a piece of work in 6 days. A alone can doit in 10 days. What time will B require to do it alone ?

MAT 2001 - Question 46

A square and an equilateral triangle have the same perimeter. If the diagonal of the square is $$12 \surd2$$ cm, then the area of the triangle is

MAT 2001 - Question 47

Acistern is filled in 5 hours and it takes 6 hours when thereis a leak in its bottom. If the cistern is full, in what time shall the leak empty it?

MAT 2001 - Question 48

The radius of the circumcircle of an equilateral triangle of side 12 cm is

MAT 2001 - Question 49

The sides of a triangle are 6 cm, 11 cm and 15cm. The radiusofits incircle is

MAT 2001 - Question 50

The sum of the interior angles of a polygon is 1620. The number of sides of the polygon must be

MAT 2001 - Question 51

The distance between the tops of two trees 20 m and 28 m high is 17 m. The horizontal distance between the two trees is

MAT 2001 - Question 52

Rs 770 have been divided among A, B and C such that A receives 2/9th of what B and C together receive. Then A's share is

MAT 2001 - Question 53

What least number must be subtracted from each of the numbers 14, 17, 34 and 42 so that the remainders are proportional ?

MAT 2001 - Question 55

If $$\sin A : \cos A = 4 : 7$$, then the value of $$\frac{(7 \sin A - 3 \cos A)}{(7 \sin A+ 2 \cos A)}$$ is

MAT 2001 - Question 56

A tree breaks due to storm and the broken part bends so that the top of the tree first touches the ground, making an angle of 30 with the horizontal. The distance from the foot of the tree to the point where the top touches the ground is 10 m. The height of the tree is

MAT 2001 - Question 57

If $$pqr = 1$$ then 

$$\left(\left(\frac{1}{(1 + p + q^{-1})}\right) + \left(\frac{1}{(1 + q + r^{-1})}\right) + \left(\frac{1}{(1 + r + p^{-1})}\right)\right)$$ is equal to

MAT 2001 - Question 58

An edge of a cube measures 10 cm. If the largest possible cone is cut out of this cube, then the volume of the cone is

MAT 2001 - Question 59

If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the surface area of each ball is

MAT 2001 - Question 60

If a and b are the roots of the equation $$x^2 - 6x + 6 = 0$$, then the value of $$a^2 + b^2$$ is

MAT 2001 - Question 61

If $$a : b = 2 : 5$$ then $$(3a + 4b) : (5a + 6b)$$ is equal to

MAT 2001 - Question 62

The value of 

$$(1^3 + 2^3 + 3^3 + ........ + 15^3) - (1 + 2 + 3 + ......... + 15)$$ is

MAT 2001 - Question 63

In the figure given below, O is the centre of the circle. If $$\angle OBC = 37^\circ$$, the $$\angle BAC$$ is equal to

MAT 2001 - Question 64

A horse is tethered to one corner of a rectangular grassy field 40 m by 24 m with a rope 14 m long. Over how much area of the field can it graze ?

MAT 2001 - Question 65

A two-digit number is such that the product of the digits is 14. When 45 is added to the number, then the digits interchange their places. Find the number.

MAT 2001 - Question 66

Vishal goes to a shop to buy a radio costing Rs 2568. The rate of sales tax is 7%. He tells the shopkeeperto reduce the price of the radio to such an extent that he has to pay Rs 2568, inclusive of sales tax. Find the reduction needed in the price of the radio.

MAT 2001 - Question 67

Dinesh travels 760 km to his home, partly by train and partly by car. He takes 8 hoursif he travels 160 km bytrain and the rest by car. He takes 12 minutes moreif he travels 240 km bytrain and the rest by car. The speedsof the train and the car respectively are

MAT 2001 - Question 68

A person on tour has Rs 360 for his daily expenses. If he extends his tour for 4 days, he hasto cut his daily expensesby Rs3. Find the original duration of the tour.

MAT 2001 - Question 69

Rs 6500 were divided equally among a certain number of persons. Had there been 15 more persons, each would have got Rs 30 less. Find the original number of persons.

MAT 2001 - Question 70

Pipes A and B running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill the cistern, then the times in which A and will fill the cistern separately will be respectively

MAT 2001 - Question 71

In a flight of 3000 km, an aircraft was slowed down by bad weather. Its average speed for the trip was reduced by 100 km/hour and the time increased by one hour. Find the original duration of the flight.

MAT 2001 - Question 72

Students of a class are made to stand in rows. If 4 students are extra in a row, there would be 2 rows less. If 4 students are less in a row, there would be 4 more rows. Find the numberof students in the class.

MAT 2001 - Question 73

Four different objects 1, 2, 3, 4 are distributed at random in four places marked 1, 2, 3, 4. What is the probability that none of the objects occupy the place corresponding to its number ?

MAT 2001 - Question 74

A boat goes 24 km upstream and 28 km dowstream in 6 hours. If it goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes, find the speed of the stream.

MAT 2001 - Question 75

The diameter of a cycle wheel is 70 cm. A cyclist takes 30 hours to reach a destination at the speed of 22 km/hr. How many revolutions will the wheel make during this journey?

MAT 2001 - Question 76

Shyam had 85 currency notes in all, some of which were of Rs 100 denomination and the remaining of Rs 50 denomination. The total amountof all these currency notes was Rs 5000. How much amountin rupeesdid he have in the denomination of Rs 50?

MAT 2001 - Question 77

Acar owner buyspetrol at Rs 7.50, Rs 8.00 and Rs 8.50 per litre for three successive years. What approximately is the average costper litre of petrol if he spends Rs 4000 each year?

MAT 2001 - Question 78

lf 10 years are subtracted from the present age of Ram and the remainderdivided by 14, then you would get the preset age of his grandson Shyam. If Shyam is 9 years younger to Sunder whose age is 14, then whatis the present age of Ram?

MAT 2001 - Question 79

Sunder purchased an office bag with a price tag of Rs 600 in a sale where 25%discount was being offered on the tag price. He was given a further discount of 10% on the amount arrived at after giving usual 25%discount. What wasthe final amount paid by Sunder?

MAT 2001 - Question 80

The mean of 30 values was 150. It was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. Find the correct mean.

The following table gives the enrolment in Higher Secondary Schools in 1978. Study the table carefully and answer these questions.

MAT 2001 - Question 81

What is the approximate percentage of schools, where the enrolment was below 120?

MAT 2001 - Question 82

What is the approximate percentage of schools, where the enrolment was above 79 but below 180?

MAT 2001 - Question 83

Under which class, the maximum numberof schools fall?

MAT 2001 - Question 84

What is the approximate percentage of the least number of schools for the classes of enrolment ?

MAT 2001 - Question 85

What is the number of schools where the enrolment is above 99 but below 1607 ?

MAT 2001 - Question 86

What is the average enrolment per HS School?

The following table gives Population and Activities of Indian Children (1993-94). Study the table carefully and answer these questions.

MAT 2001 - Question 87

What is the average of Rural Males Population in millions ?

MAT 2001 - Question 88

In which category of populatoin, there is the lowest percentage of children in the school ?

MAT 2001 - Question 89

What is the approximate percentage of children of all categories not in school ?

MAT 2001 - Question 90

What per cent is the ratio between urban males and rural males not in school ?

MAT 2001 - Question 91

What is the approximate number of children in millions who are working ?

MAT 2001 - Question 92

What is the approximate percentageofall categories of children not in school and not working ?

MAT 2001 - Question 93

In which category of children, there is maximum number not in school and not working?

MAT 2001 - Question 94

In which category of children, there is maximum number not in school but working?

MAT 2001 - Question 95

What percentage of the total population of the children of all categories is in the school?

MAT 2001 - Question 96

What approximately is the percentage ratio between the total number of children not in school and in school?

Study the following graph and answer these questions given below it.

MAT 2001 - Question 97

Which year shows the maximum percentage of export with respect to production?

MAT 2001 - Question 98

The population of India in 1993 was

MAT 2001 - Question 99

If the area under tea production was less by 10% in 1994 than in 1993, then the approximate rate of increase in productivity of tea in 1994 was

MAT 2001 - Question 100

The average proportion of tea exported to the tea produced overthe period is

MAT 2001 - Question 101

What is the first half decade's average per capita availability of tea ?

MAT 2001 - Question 102

In which year was the per capita availability of tea minimum ?

MAT 2001 - Question 103

In which year was there minimum percentage of export with respect to production?

MAT 2001 - Question 104

In which year we had maximum quantity of tea for domestic consumption?

MAT 2001 - Question 105

What approximately was the average quantity of tea available for domestic consumption during the period?

MAT 2001 - Question 106

What was approximately the average population during the period?

Study the table given below and answer these questions.

MAT 2001 - Question 107

In which period, did we have the most adverse trade balancefor India ?

MAT 2001 - Question 108

What was the average % growth rate of exports during the entire period ?

MAT 2001 - Question 109

In which period was the trade balance the best ?

MAT 2001 - Question 110

In which period the growth rate of exports was the highest?

MAT 2001 - Question 111

During which period the Export/Import ratio was the highest ?

MAT 2001 - Question 112

What is the average growth rate of exports for the period 1992-93 to 1995-96?

MAT 2001 - Question 113

What is the average Export/ Import ratio for the period 1992-93 to 1998-99?

MAT 2001 - Question 114

Using Exports GDP ratio for the period 1989-90, find the GDP for the same period.

Study the table given below carefully and answer these questions.

MAT 2001 - Question 115

What is the average growth rate per year of population to be covered from 2001 to 2011?

MAT 2001 - Question 116

In which year was there maximum difference between water requirements and actual or projected supplies?

MAT 2001 - Question 117

In which year the actual or projected supplies exceeded/exceeds the water requirements?

MAT 2001 - Question 118

What approximately is the maximum per capita of actual or projected supplies as litres/day ?

MAT 2001 - Question 119

In which year, there was the least difference in per capita water requirements and the actual or projected supplies?

MAT 2001 - Question 120

In which year, there was the lowest per capita of water in actual or projected supplies?

Read the following information carefully to answer these questions.

A sample poll of 200 votes revealed the following information concerning three candidates A, B and C of a certain party who were running for three different offices.
28 in favour of both A and B.
98 in favour of Aor B but not C.
42 in favour of B but not Aor C.
122 in favour of B or C but not A.
64 in favour of C but not Aor B.
14 in favour of A and C but not B.

MAT 2001 - Question 121

How many voters were in favour of all the three candidates?

MAT 2001 - Question 122

How many voters were in favour of all the three candidates?

MAT 2001 - Question 123

How many voters werein favour of B irrespective of A or C?

MAT 2001 - Question 124

How many voters were in favour of C irrespective of A or B?

MAT 2001 - Question 126

How many voters werein favour of only one of the candidates ?

For the following questions answer them individually
MAT 2001 - Question 131

What is the next letter in the following series ? a, c, b, d, e?

In these qeustions, find the missing number.

In these questions, two statements are given followed by two conclusions I and II. You have to consider both the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions is/are definitely drawn from the given statements.

MAT 2001 - Question 139

Statements :
When it rains, usually X does not go out.
X has gone out.
Conclusions:
I. It is not raining.
II. X has some urgent business to transact.

MAT 2001 - Question 140

Statements :
In a Golf Club, all the members are not active players of the game but all of them are rich.
Mrs X is a member.
Conclusions:
I. She is a golfer.
II. She is rich.

MAT 2001 - Question 141

Statements :
All employees of company A have identity cards.
Ram is an employee of company A.
Conclusions :
I. Ram has an identity card.
II. Ram is the General Manager of the Company.

MAT 2001 - Question 142

Statements:
If there is shortage in the production of onions, the price of onions will go up.
Price of onions has gone up.
Conclusions :
I. There is shortage in the production of onions.
II. Onions were exported.

MAT 2001 - Question 143

Statements:
If all players play to their full potential, we will win the match.
We have won the match.
Conclusions:
I. All players played to their full potential.
II. Some players did not play to their full potential.

MAT 2001 - Question 144

Statements :
Some businessmen are rich.
Soman is rich.
Conclusions :
I. Soman is a businessman.
II. Soman has a big farm.

MAT 2001 - Question 145

Statements :
All persons who own a house or a car should file Income Tax return.
Shiela files her income tax return.
Conclusions:
I. Shiela owns a house or a Car.
II. Shiela neither owns a house nor a Car.

MAT 2001 - Question 146

Statements :
In order to be selected for the local cricket team, a person should be either a good batsman or bowler.
Shyam is selected for the team.
Conclusions:
I. Shyam is a good batsman.
II. Shyam is not a good bowler.

MAT 2001 - Question 147

Statements:
Without rains the crops will not be good.
The crops were good.
Conclusions :
I. There were rains.
II. Crops were good due to good fertilizers.

MAT 2001 - Question 148

Statements:
According to the evolution theory, man evolved from a monkey.
X is a monkey.
Conclusions:
I. X can become a man.
II. Man can become a monkey.

In these questions, select the odd one out.

For the following questions answer them individually
MAT 2001 - Question 154

Four positions of a cube are shown below. Which symbol is opposite to the face having $$'\triangle'$$

Read the following information carefully and answer these questions.

In a certain coding system,
'816321' means "The brown dogfrightened the cat”,
‘64851' means "The frightened cat ran away”,
‘7621' means "The cat was brown",
'341' means "The dog ran"

MAT 2001 - Question 155

What is the codefor 'the dog was frightened’?

For the following questions answer them individually
MAT 2001 - Question 159

In how many ways can 7 people be seated at a roundtable if 2 particular people must notsit next to each other?

MAT 2001 - Question 160

In a certain coding system ETTPI stands for APPLE. Whatis the code for ‘DELHI’ ?

MAT 2001 - Question 161

William M Daley who was part of the US President's delegation to India is the

MAT 2001 - Question 162

Where was the last round of talks for the WTO held in November-December 19997?

MAT 2001 - Question 163

Who played the role of Saket Ram in the controversial film Hey Ram?

MAT 2001 - Question 164

The present Pope went on a historic tour of which region in March 2000?

MAT 2001 - Question 165

Nokia is going to begin shipping 1 million WAP phones every week which will allow the user to browse the Internet through the mobile phone. What does WAP stand for ?

MAT 2001 - Question 166

15th World Chess Championship was won by

MAT 2001 - Question 167

Which city in the world hasthe distinction of hosting the most cricket matches ?

MAT 2001 - Question 168

Who was the last President of the US to serve for two terms before Mr Bill Clinton?

MAT 2001 - Question 169

We have all heard of a venture capitalist in the IT industry. Who or what is an angel investor?

MAT 2001 - Question 170

Who is the Supreme Commanderof the Indian Armed Forces?

MAT 2001 - Question 171

Which companyhas been listed as the highest spender on advertisements?

MAT 2001 - Question 172

Salman Khan and Sunil Shetty have been recruited as part of which campaign in the year 2000?

MAT 2001 - Question 173

What is the present level of Indo-US trade?

MAT 2001 - Question 174

Bill Clinton is the fourth US President to visit India. Who was the first US President to visit India?

MAT 2001 - Question 175

Who among the following holds the Telecom Ministry in the present NDA government?

MAT 2001 - Question 176

Who is the Chief Election Commissioner of India at present?

MAT 2001 - Question 177

Bill Gates recently stepped down as the CEO of Microsoft but announced that he will take a new post to "focus on technologies of the future”. What is this post?

MAT 2001 - Question 178

.......... is not a member of ASEAN.

MAT 2001 - Question 179

Which famous war hero said : "You are rememberedfor the rules you break"?

MAT 2001 - Question 180

Who is associated with Narmada Bachao Andolan?

MAT 2001 - Question 181

Name the actress who played the leading role in the film Elizabeth directed by Shekhar Kapoor?

MAT 2001 - Question 182

The Romantics is the first fiction work of which writer?

MAT 2001 - Question 183

The Upper House of Parliament is known as

MAT 2001 - Question 184

The US attacked terrorists training camps in Afghanistan belonging to Osama Bin Laden. To which country does he originally belong to?

MAT 2001 - Question 185

Which country did Saddam Hussein invade that sparked off the Gulf War?

MAT 2001 - Question 186

The satellite-based personal communications company Iridium, which had to shut down its services, is a subsidiary company of which US giant?

MAT 2001 - Question 187

Miss World 2000 title has been won by

MAT 2001 - Question 188

In radio, what does SW stand for ?

MAT 2001 - Question 189

Shekhar Kapooris working on film project with which of the following famous composers?

MAT 2001 - Question 190

Which of the following did India not wantto be part of the last WTO talks ?

MAT 2001 - Question 191

Which multi-purpose vehicle was launchedby Toyota this year in India?

MAT 2001 - Question 192

Which artist's autobiography is titled "Autobiography of a Genius"?

MAT 2001 - Question 193

With which airlines does Virgin Atlantic have a strategic tie-up?

MAT 2001 - Question 194

Which of the following cities was not visited by President Mr Bill Clinton during his trip to India?

MAT 2001 - Question 195

KS Sudarshan took over as the head of which organisation recently?

MAT 2001 - Question 196

In which city was the film Water being shot before it was halted due to protests?

MAT 2001 - Question 197

Who said ; "I do not fear computers, I fear the lack of them."

MAT 2001 - Question 198

Which is the newly-formed ministry of the Governmentof India?

MAT 2001 - Question 199

When was the last time that India won the Gold medal in Hockey in the Olympics ?

MAT 2001 - Question 200

Recently Bill Gates became the first man to cross the 100 billion dollars mark. According to econo mists this means that only .............. nations have an economic output higher than that of Bill Gates.

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