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1
PYP
DU JAT SHIFT 2 2020
Let A and B be two sets having 3 and 6 elements respectively. What can be the minimum number of elements in A∪B?
2
PYP
DU JAT SHIFT 2 2020
If f(x) = , then f (2x) is :‐
3
PYP
DU JAT SHIFT 2 2020
The identity element for the binary operator * defined by a * b = where a and b are non-zero rational numbers, is given by:
4
PYP
DU JAT SHIFT 2 2020
If x = i, then the value of xx is
5
PYP
DU JAT SHIFT 2 2020
A Geometric Progression consist of 2n terms. If the sum of the terms occupying the odd places is S1 and that of the terms in the even places is S2 then S1 / S2 is
6
PYP
DU JAT SHIFT 2 2020
If a, b, c are in arithmetic progression as well as in geometric progression, then
7
PYP
DU JAT SHIFT 2 2020
For what value of and , do the following simultaneous equations have an infinite number of solutions? x + y + z = 5; x + 3y + 3z = 9; x + 2y + =
8
PYP
DU JAT SHIFT 2 2020
The equation y2 – x2 + 2x – 1 = 0, represents
9
PYP
DU JAT SHIFT 2 2020
The two circles x2 + y2 – 2x – 3 = 0 and x2 + y2 – 4x – 6y – 8 = 0 are such that
10
PYP
DU JAT SHIFT 2 2020
If the roots of the equation x2 – px + q = 0 differ by unity, then:‐
11
PYP
DU JAT SHIFT 2 2020
The positive integral root of the equation = 22, is:‐
12
PYP
DU JAT SHIFT 2 2020
If the matrix AB = 0, then Statement I: It is not necessary that either A=0 or B=0 Statement II: A=0 or B=0 Statement III: A=0 and B=0
13
PYP
DU JAT SHIFT 2 2020
The sum of 11 terms of an A.P. whose middle term is 40, is
14
PYP
DU JAT SHIFT 2 2020
If commission of spelling mistakes are independent of each other, and the probability of a single spelling mistake in a page from a book is 0.1, what is the probability of three mistakes on the page?
15
PYP
DU JAT SHIFT 2 2020
The average age of a family of six is 36 years. The youngest member of the family is 6 years old. The average of the family just before the birth of the youngest member is
16
PYP
DU JAT SHIFT 2 2020
If ‐3 < x < 4 and ‐2 < y < 2, then range of (x + y)2 is:‐
17
PYP
DU JAT SHIFT 2 2020
If f(x) = 6x – 3 and f(g(x)) = 21, then g(x) is
18
PYP
DU JAT SHIFT 2 2020
What is the sum of the series 0.5 + 0.55 + 0.555 + 0.5555 + . . . . . . . . up to n terms?
19
PYP
DU JAT SHIFT 2 2020
What is the vector of unit length orthogonal to both the vectors ?
20
PYP
DU JAT SHIFT 2 2020
For two events A and B, it is given that and . If are the complementary events of A and B, then is
21
PYP
DU JAT SHIFT 2 2020
A machine has three parts A, B and C that function independently. The chance of the three parts being defective is 0.02, 0.10 and 0.05, respectively. The machine stops working if any one of the parts becomes defective. Which of the options is closest to the probability that the machine will not stop working?
22
PYP
DU JAT SHIFT 2 2020
If then what is the mean ?
23
PYP
DU JAT SHIFT 2 2020
The value of the expression 47 is:-
24
PYP
DU JAT SHIFT 2 2020
What curve passes through the point (1, 1) and has a slope of ?
25
PYP
DU JAT SHIFT 2 2020
Which of the following is a solution to the differential equation ?
26
PYP
DU JAT SHIFT 2 2020
Consider the function where [.] denotes the greatest integer function. The value of is
27
PYP
DU JAT SHIFT 2 2020
Which statement regarding the plotted function is true?
28
PYP
DU JAT SHIFT 2 2020
The value of the parameter , for which the function f(x) = is the inverse of itself, is
29
PYP
DU JAT SHIFT 2 2020
The value of the derivative of the function f(x) = |x - 1| + |x - 3|, at x = 2 is
30
PYP
DU JAT SHIFT 2 2020
If y = 4x - 5 is a tangent to the curve y2 = px3 + q at (2, 3), then
31
PYP
DU JAT SHIFT 2 2020
The function f defined by f(x) = (x +2) e-x is
32
PYP
DU JAT SHIFT 2 2020
The electricity bill of a certain establishment is partly fixed and partly varies as the number of units of electricity consumed. When in a certain month 540 units are consumed, the bill is Rs. 1800. In another month, 620 units are consumed, and the bill is Rs. 2040. In yet another month, 500 units are consumed. The bill for that month would be:‐
33
PYP
DU JAT SHIFT 2 2020
10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the work?
34
PYP
DU JAT SHIFT 2 2020
In an examination, 65% of students passed in Civics and 60% in History, 40% passed in both of these subjects. If 90 students failed in History and Civics both, then what is the total number of students?
35
PYP
DU JAT SHIFT 2 2020
At what price should a shopkeeper mark a radio that costs him Rs 1200 in order that he may offer a discount of 20% on the marked price and still make a profit of 25%?
36
PYP
DU JAT SHIFT 2 2020
Given that what is the value of D ?
37
PYP
DU JAT SHIFT 2 2020
Direction: Read the following information carefully and answer the following question. 1). P, Q, R, S, and T are five friends. 2). Q is elder to T, but not as tall as R. 3). R is younger to P and is taller to S and T. 4). P is taller to S, but younger to T. 5). S is elder to P but is shortest in the group. Who among the following is the youngest?
38
PYP
DU JAT SHIFT 2 2020
Direction: Read the following information carefully and answer the following question. 1). P, Q, R, S, and T are five friends. 2). Q is elder to T, but not as tall as R. 3). R is younger to P and is taller to S and T. 4). P is taller to S, but younger to T. 5). S is elder to P but is shortest in the group. Which of the following statements is correct? I. Q is not the tallest. II. R is the tallest. III. T is only taller than S. Choose the correct answer from the options given below.
39
PYP
DU JAT SHIFT 2 2020
Direction: Read the following information carefully and answer the following question. 1). P, Q, R, S, and T are five friends. 2). Q is elder to T, but not as tall as R. 3). R is younger to P and is taller to S and T. 4). P is taller to S, but younger to T. 5). S is elder to P but is shortest in the group. The 5 friends are asked to stand in ascending order with respect to their age. Which of the following is the correct order, if T is older to S?
40
PYP
DU JAT SHIFT 2 2020
Direction: Study the diagram given below and answer each of the following questions. How many people read both Newspaper and Comics only?
41
PYP
DU JAT SHIFT 2 2020
Direction: Study the diagram given below and answer each of the following questions. How many people do not read Newspapers?
42
PYP
DU JAT SHIFT 2 2020
Direction: Study the diagram given below and answer each of the following questions. How many people read neither comics, nor newspapers?
43
PYP
DU JAT SHIFT 2 2020
The set of four figures forms a series such that the fifth figure, when drawn, will be the same as the first figure. Which of the given options can replace the box with the question mark?
44
PYP
DU JAT SHIFT 2 2020
Given below is a pair of related figures and four other options of related figures. Out of the options, find the one where the figures have the same relationship as in the given figure.
45
PYP
DU JAT SHIFT 2 2020
From the given options, select the figure to replace the question mark so as to establish the series.
46
PYP
DU JAT SHIFT 2 2020
High levels of fertilizer and pesticides, needed when farmers try to produce high yield of the same crop year after year, pollute water supplies. Experts therefore urge farmers to diversify their crops and to rotate their plantings yearly. To receive governmental price‐support benefits for a crop, farmers must have produced that same crop for the past several years. The statements above, if true, best support which of the following conclusions?
47
PYP
DU JAT SHIFT 2 2020
The average normal infant born in the United States weighs between twelve and fourteen pounds at the age of three months. Therefore, if a three‐month‐old child weighs only ten pounds, its weight gain has been below the United States average. Which of the following indicates a flaw in the reasoning above?
48
PYP
DU JAT SHIFT 2 2020
The given pair of words has a specific relationship. From among the 4 choices given, choose the pair with a similar relationship as the one in the question. Benign: Kind
49
PYP
DU JAT SHIFT 2 2020
The given pair of words has a specific relationship. From among the 4 choices given, choose the pair with a similar relationship as the one in the question. Virus: Disease
50
PYP
DU JAT SHIFT 2 2020
X is ranked 12 from the top and Y is ranked 14 from the bottom in a class of 35 students. How many students are there between X and Y?
51
PYP
DU JAT SHIFT 2 2020
Find the alternative which will replace the question mark: KLMN: OHPK:: AXTZ :?
52
PYP
DU JAT SHIFT 2 2020
A family has four boys named Amar, Aditya, Arjun, and Aryan, and a girl named Asha. In terms of age, Amar is at the third place, counted from either direction. Asha has at least one younger brother. One boy is older than Asha but younger than Aryan. Asha is the younger sister of Arjun. Aditya is
53
PYP
DU JAT SHIFT 2 2020
Abdul walked 20m towards East. Then he turned to his left and walked 30m. He again turned to his left and walked 20m. He then turned to his right and walked 31m. At what distance is Abdul from the starting point and which direction is he facing?
54
PYP
DU JAT SHIFT 2 2020
For the series: 10, 2, 4, _____ , 6, 8, 10, 10, 12, …, what number should be filled in the blank?
55
PYP
DU JAT SHIFT 2 2020
Four different positions of a dice are given as follows. Find the number on the face opposite the face showing 4
56
PYP
DU JAT SHIFT 2 2020
Which of the following diagrams correctly represents the relationship among Delhi university students, cricket fans, and students living in Delhi hostels?
57
PYP
DU JAT SHIFT 2 2020
Find the missing number
58
PYP
DU JAT SHIFT 2 2020
Statements: All the scholars are teachers. Some players are teachers. Conclusions: 1). All the scholars are players. 2). All players are scholars. 3). Some teachers are players. 4). All teachers are scholars. Which of the conclusions logically follows from the two given statement, taking the given two statements as true?
59
PYP
DU JAT SHIFT 2 2020
What day of the week was 25 June 1984?
60
PYP
DU JAT SHIFT 2 2020
A clock is set right at 10 a.m. The clock gains 5 mins in 12 hours. What will be the correct time when the clock indicates 3 p.m. on the following day?
61
PYP
DU JAT SHIFT 2 2020
Find the odd one that does not belong to the group.
62
PYP
DU JAT SHIFT 2 2020
Which is the next term in the following series: 1, 1, 2, 3, 4, 6, 9,?
63
PYP
DU JAT SHIFT 2 2020
Ornithology: Birds:: Dendrology: ?
64
PYP
DU JAT SHIFT 2 2020
Count the number of rectangles in the following figure.
65
PYP
DU JAT SHIFT 2 2020
Choose the one that does not belong to the group.
66
PYP
DU JAT SHIFT 2 2020
Pava is bigger than Java. Java is bigger than Mava. Rava is not as big as Sava but is bigger than Java. Mava is not as big as Java. Who is the smallest?
67
PYP
DU JAT SHIFT 2 2020
The minimum number of straight lines required to make the given figure are
68
PYP
DU JAT SHIFT 2 2020
Which of the unfolded figures in the given four options shall certainly result in the folded form given in figure 3?
69
PYP
DU JAT SHIFT 2 2020
Which of the given options closely represents the "water image" formed if the given combination were standing on water?
70
PYP
DU JAT SHIFT 2 2020
Which number should replace the question mark?
71
PYP
DU JAT SHIFT 2 2020
Given that What is the value of ?
72
PYP
DU JAT SHIFT 2 2020
Which of the following cannot be placed on the right side of the bottom scale in order to make it balance?
73
PYP
DU JAT SHIFT 2 2020
Choose the appropriate Antonym for the word DILAPIDATED from the options below.
74
PYP
DU JAT SHIFT 2 2020
Choose the appropriate Antonym for the word ENIGMATIC from the options below.
75
PYP
DU JAT SHIFT 2 2020
Choose the appropriate Antonym for the word CALUMNY from the options below.
76
PYP
DU JAT SHIFT 2 2020
Read the statement and answer the question that follows: High levels of fertilizer and pesticides, needed when farmers try to produce high yield of the same crop year after year, pollute water supplies. Experts therefore urge farmers to diversify their crops and to rotate their plantings yearly. To receive governmental price‐support benefits for a crop, farmers must have produced that same crop for the past several years. The statements above, if true, best support which of the following conclusions?
77
PYP
DU JAT SHIFT 2 2020
Read the statement and answer the statement that follows: The average normal infant born in the United States weighs between twelve and fourteen pounds at the age of three months. Therefore, if a three‐month‐old child weighs only ten pounds, its weight gain has been below the United States average. Which of the following indicates a flaw in the reasoning above?
78
PYP
DU JAT SHIFT 2 2020
Read the following excerpt and answer the questions that follow. Coral reefs are one of the most fragile, biologically complex, and diverse marine ecosystems on Earth. This ecosystem is one of the fascinating paradoxes of the biosphere: how do clear, and thus nutrient‐poor, waters support such prolific and productive communities? Part of the answer lies within the tissues of the corals themselves. Symbiotic cells of algae known as zooxanthellae carry out photosynthesis using the metabolic wastes of the coral thereby producing food for themselves, for their coral’s hosts, and even for other members of the reef community. This symbiotic process allows organisms in the reef community to use sparse nutrient resources efficiently. Unfortunately for coral reefs, however, a variety of human activities are causing worldwide degradation of shallow marine habitats by adding nutrients to the water. Agriculture, slash‐ and‐burn land clearing, sewage disposal and manufacturing that creates waste by‐products all increase nutrient loads in these waters. Typical symptoms of reef decline are destabilized herbivore populations and an increasing abundance of algae and filter‐feeding animals. Declines in reef communities are consistent with observations that nutrient input is increasing in direct proportion to growing human populations, thereby threatening reef communities sensitive to subtle changes in nutrient input to their waters. The passage is primarily concerned with:
79
PYP
DU JAT SHIFT 2 2020
Read the following excerpt and answer the questions that follow. Coral reefs are one of the most fragile, biologically complex, and diverse marine ecosystems on Earth. This ecosystem is one of the fascinating paradoxes of the biosphere: how do clear, and thus nutrient‐poor, waters support such prolific and productive communities? Part of the answer lies within the tissues of the corals themselves. Symbiotic cells of algae known as zooxanthellae carry out photosynthesis using the metabolic wastes of the coral thereby producing food for themselves, for their coral’s hosts, and even for other members of the reef community. This symbiotic process allows organisms in the reef community to use sparse nutrient resources efficiently. Unfortunately for coral reefs, however, a variety of human activities are causing worldwide degradation of shallow marine habitats by adding nutrients to the water. Agriculture, slash‐ and‐burn land clearing, sewage disposal and manufacturing that creates waste by‐products all increase nutrient loads in these waters. Typical symptoms of reef decline are destabilized herbivore populations and an increasing abundance of algae and filter‐feeding animals. Declines in reef communities are consistent with observations that nutrient input is increasing in direct proportion to growing human populations, thereby threatening reef communities sensitive to subtle changes in nutrient input to their waters. The passage suggests which of the following about coral reef communities?
80
PYP
DU JAT SHIFT 2 2020
Read the following excerpt and answer the questions that follow. Coral reefs are one of the most fragile, biologically complex, and diverse marine ecosystems on Earth. This ecosystem is one of the fascinating paradoxes of the biosphere: how do clear, and thus nutrient‐poor, waters support such prolific and productive communities? Part of the answer lies within the tissues of the corals themselves. Symbiotic cells of algae known as zooxanthellae carry out photosynthesis using the metabolic wastes of the coral thereby producing food for themselves, for their coral’s hosts, and even for other members of the reef community. This symbiotic process allows organisms in the reef community to use sparse nutrient resources efficiently. Unfortunately for coral reefs, however, a variety of human activities are causing worldwide degradation of shallow marine habitats by adding nutrients to the water. Agriculture, slash‐ and‐burn land clearing, sewage disposal and manufacturing that creates waste by‐products all increase nutrient loads in these waters. Typical symptoms of reef decline are destabilized herbivore populations and an increasing abundance of algae and filter‐feeding animals. Declines in reef communities are consistent with observations that nutrient input is increasing in direct proportion to growing human populations, thereby threatening reef communities sensitive to subtle changes in nutrient input to their waters. The author refers to “filter‐feeding animals” in order to:
81
PYP
DU JAT SHIFT 2 2020
Read the following excerpt and answer the questions that follow. Coral reefs are one of the most fragile, biologically complex, and diverse marine ecosystems on Earth. This ecosystem is one of the fascinating paradoxes of the biosphere: how do clear, and thus nutrient‐poor, waters support such prolific and productive communities? Part of the answer lies within the tissues of the corals themselves. Symbiotic cells of algae known as zooxanthellae carry out photosynthesis using the metabolic wastes of the coral thereby producing food for themselves, for their coral’s hosts, and even for other members of the reef community. This symbiotic process allows organisms in the reef community to use sparse nutrient resources efficiently. Unfortunately for coral reefs, however, a variety of human activities are causing worldwide degradation of shallow marine habitats by adding nutrients to the water. Agriculture, slash‐ and‐burn land clearing, sewage disposal and manufacturing that creates waste by‐products all increase nutrient loads in these waters. Typical symptoms of reef decline are destabilized herbivore populations and an increasing abundance of algae and filter‐feeding animals. Declines in reef communities are consistent with observations that nutrient input is increasing in direct proportion to growing human populations, thereby threatening reef communities sensitive to subtle changes in nutrient input to their waters. According to the passage, which of the following is a factor that is threatening the survival of coral reef communities?
82
PYP
DU JAT SHIFT 2 2020
Read the following excerpt and answer the questions that follow. Coral reefs are one of the most fragile, biologically complex, and diverse marine ecosystems on Earth. This ecosystem is one of the fascinating paradoxes of the biosphere: how do clear, and thus nutrient‐poor, waters support such prolific and productive communities? Part of the answer lies within the tissues of the corals themselves. Symbiotic cells of algae known as zooxanthellae carry out photosynthesis using the metabolic wastes of the coral thereby producing food for themselves, for their coral’s hosts, and even for other members of the reef community. This symbiotic process allows organisms in the reef community to use sparse nutrient resources efficiently. Unfortunately for coral reefs, however, a variety of human activities are causing worldwide degradation of shallow marine habitats by adding nutrients to the water. Agriculture, slash‐ and‐burn land clearing, sewage disposal and manufacturing that creates waste by‐products all increase nutrient loads in these waters. Typical symptoms of reef decline are destabilized herbivore populations and an increasing abundance of algae and filter‐feeding animals. Declines in reef communities are consistent with observations that nutrient input is increasing in direct proportion to growing human populations, thereby threatening reef communities sensitive to subtle changes in nutrient input to their waters. It can be inferred from the passage that the author describes coral reef communities as paradoxical most likely for which of the following reasons?
83
PYP
DU JAT SHIFT 2 2020
Below are 4 sentences marked W, X, Y, Z. You are required to choose one of the 4 alternatives given to determine which would be the most logical sequence of these four sentences. W. A man handed a pair of trousers to the department store sales assistant and said, “I would like to change this as I no longer like the colour”. X. The man replied that he had lost the bill and demanded a refund instead of an exchange. Y. The assistant said, “May I please see the bill that you would have got while buying this from us?” Z. The assistant called the store manager who said, “As per our policy, without a receipt, we can neither exchange nor return any item.”
84
PYP
DU JAT SHIFT 2 2020
Below are 4 sentences marked W, X, Y, Z. You are required to choose one of the 4 alternatives given to determine which would be the most logical sequence of these four sentences. W. It is for this reason that they can be easily translated from one language into another. X. In fact, many of the proverbs we are familiar with have come to us from different cultures and communities across the world. Y. Proverbs contain simple and universal truths. Z. Every community and culture has its own set of proverbs that they have evolved.
85
PYP
DU JAT SHIFT 2 2020
Below are 4 sentences marked W, X, Y, Z. You are required to choose one of the 4 alternatives given to determine which would be the most logical sequence of these four sentences. W. It resembles a horse with a horn at the centre of its forehead. X. It is believed to have magical properties and can heal sickness. Y. It is now believed that the unicorn of legend may actually be the Indian one horned rhinoceros. Z. A unicorn is a mythical creature and is found in ancient legends and fairy tales.
86
PYP
DU JAT SHIFT 2 2020
Fill in the blanks with the most appropriate pair from among the four choices given. The person who has been working here __________ the last ten years, suddenly stopped coming to work and has not been seen __________ Tuesday last.
87
PYP
DU JAT SHIFT 2 2020
Fill in the blanks with the most appropriate pair from among the four choices given. It had long been presumed that stone tool making was a hallmark of our ______________, ______________the recent discovery, in north-western Kenya, of 3.3‐million‐year‐old stone tools that are 7,00,000 years older than any other such stone tools ever found suggests it was the more ancient human ancestors who made the cognitive leap needed for crafting such implements.
88
PYP
DU JAT SHIFT 2 2020
Fill in the blanks with the most appropriate pair from among the four choices given. It sounds ______ that if a low carb diet can prevent a second heart attack from occurring, it should also be able to ______ the first occurrence.
89
PYP
DU JAT SHIFT 2 2020
A sentence has been given in active or passive voice. You have to change the voice by choosing the best option from among the four choices given. Does Darjeeling grow tea?
90
PYP
DU JAT SHIFT 2 2020
A sentence has been given in active or passive voice. You have to change the voice by choosing the best option from among the four choices given. Since she has not done the preliminary work, the meeting has to be rescheduled.
91
PYP
DU JAT SHIFT 2 2020
Who among the following is the current chairman of the Insurance Regulatory Development Authority of India (IRDAI)?
92
PYP
DU JAT SHIFT 2 2020
What is India’s rank in the Human Development Index report released by the United Nations Development Programme (UNDP) in the year 2019?
93
PYP
DU JAT SHIFT 2 2020
Who won the Best Actor Award at Dadasaheb Phalke International Film Festival Awards 2020?
94
PYP
DU JAT SHIFT 2 2020
Chandrayaan‐2 Mission was launched by the Indian Space Research Organisation (ISRO) aboard which Satellite Launch Vehicle?
95
PYP
DU JAT SHIFT 2 2020
Which one among the following companies has partnered with UNESCO Mahatma Gandhi Institute of Education for Peace (MGIEP) to adopt technology in classrooms?
96
PYP
DU JAT SHIFT 2 2020
Om Birla is_____.
97
PYP
DU JAT SHIFT 2 2020
"Unbreakable" is an autobiography of which Indian sportsperson?
98
PYP
DU JAT SHIFT 2 2020
UDAY is a:‐
99
PYP
DU JAT SHIFT 2 2020
MGNREGA is a scheme wherein
100
PYP
DU JAT SHIFT 2 2020
Which of the following banks has been amalgamated with Punjab National Bank?
