IPMAT Indore 2022 question paper

90 questions · 360 marks · 120 minutes · +4 per correct answer, -1 per wrong one

Every question in the order it was set, free to read. Tap an option to check it, or open the answer. Answers open as you go; sign in free to keep opening them.

Sit it as a timed mock

Quantitative Ability (MCQ)

30 questions

1 $0\lt\theta\lt\frac{\pi}{4}$
Tap an option to check your answer.
2 $x$
Tap an option to check your answer.
3 $f(x)$
Tap an option to check your answer.
4 $200 m$
Tap an option to check your answer.
5 $k$
Tap an option to check your answer.
6 $x^{2}+|x+4|+|x-4|-35=0$
Tap an option to check your answer.
7 $x, 21$
Tap an option to check your answer.
8 $If the five-digit number abcde is divisible by 6, then which of the following numbers is not necessarily divisible by 6?$
Tap an option to check your answer.
9 $In how many ways can the letters of the word MANAGEMENT be arranged such that no two vowels appear together?$
Tap an option to check your answer.
10 $n$
Tap an option to check your answer.
11 $The sum of the first 15 terms in an arithmetic progression is 200, while the sum of the next 15 terms is 350. Then the common difference is$
Tap an option to check your answer.
12 $a, b$
Tap an option to check your answer.
13 $In a right-angled triangle ABC, the hypotenuse AC is of length 13 cm. A line drawn connecting the midpoints D and E of sides AB and AC is found to be 6 cm in length. The length of BC is$
Tap an option to check your answer.
14 $A=\left[\begin{array}{ll}1 & 0 \\ \frac{1}{2} & 0\end{array}\right]$
Tap an option to check your answer.
15 $A=\{1,2,3\}$
Tap an option to check your answer.
16 $In a 400-metre race, Ashok beats Bipin and Chandan respectively by 15 seconds and 25 seconds. If Ashok beats Bipin by 150 metres, by how many metres does Bipin beat Chandan in the race?$
Tap an option to check your answer.
17 $In a bowl containing 60 ml orange juice, 40 ml of water is poured. Thereafter, 100 ml of apple juice is poured to make a fruit punch. Madhu drinks 50 ml of this fruit punch and comments that the proportion of orange juice needs to be higher for better taste. How much orange juice should be poured into the fruit punch that remained, in order to bring up the level of orange juice to 50 percentage?$
Tap an option to check your answer.
18 $\dfrac{x^{2}}{\sin \sqrt{2}-\sin \sqrt{3}}+\dfrac{y^{2}}{\cos \sqrt{2}-\cos \sqrt{3}}=1$
Tap an option to check your answer.
19 $f(x)=\dfrac{x}{|x|}$
Tap an option to check your answer.
20 $When the square of the difference of two natural numbers is subtracted from the square of the sum of the same two numbers and the result is divided by four, we get$
Tap an option to check your answer.
21 $The cost of a piece of jewellery is proportional to the square of its weight. A piece of jewellery weighing 10 grams is INR 3600. The cost of a piece of jewellery of the same kind weighing 4 grams is$
Tap an option to check your answer.
22 $A$
Tap an option to check your answer.
23 $f\left(x^{2}+f(y)\right)=x f(x)+y$
Tap an option to check your answer.
24 $3^{7} 2^{8} 17^{3}$
Tap an option to check your answer.
25 $The number of four-digit integers which are greater than 1000 and divisible by both 2 and 3, but not by 5, is$
Tap an option to check your answer.
A showroom is open on all seven days of the week throughout the year. There are five employees Alex, Bhabha, Cathy, Dilip and Ethan who work in the showroom. Every day except Sunday, two employees are required while on Sunday three employees need to work. Every employee works for three days in a week. Some additional information is also provided: - Every employee works on two consecutive days while the third day is not consecutive. - Alex and Dilip work together on Tuesday and Wednesday while the other working day differs for them. - Neither Bhabha nor Cathy works with Alex on any day. - Cathy does not work either on Saturday or on Monday.
26 $Number of days Bhabha and Cathy work together in a week is$
Tap an option to check your answer.
27 $Which among the following employees do not work together on any of the days?$
Tap an option to check your answer.
28 $One of the days Alex works on is$
Tap an option to check your answer.
29 $The consecutive days on which Ethan works are$
Tap an option to check your answer.
30 $Employees who work on Sunday are$
Tap an option to check your answer.

Quantitative Ability (Short Answer)

15 questions

31 $\log _{\left(x^{2}\right)} y+\log _{\left(y^{2}\right)} x=1$
32 $2|x|+3|y| \leq 6$
33 $12$
34 $The number of triangles that can be formed by choosing points from 7 points on a line and 5 points on another parallel line is _________.$
35 $10 \%$
36 $f(x)=|x|+2|x-1|+|x-2|+|x-4|+|x-6|+2|x-10|, x \in(-\infty, \infty)$
37 $A=\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 0 & 1 \\ 0 & 1 & 0\end{array}\right]$
38 $(5 x-9)^{4}$
39 $(1,2,3, \ldots)$
40 $\sin \alpha+\sin \beta=\frac{\sqrt{2}}{\sqrt{3}}$
41 $3^{\text {rd }}, 14^{\text {th }}$
42 $P(X)$
43 $-16,2^{x+3}-2^{2 x-1}-16,2^{2 x-1}+16$
44 $Mrs and Mr Sharma, and Mrs and Mr Ahuja along with four other persons are to be seated at a round table for dinner. If Mrs and Mr Sharma are to be seated next to each other, and Mrs and Mr Ahuja are not to be seated next to each other, then the total number of seating arrangements is _________.$
45 $Let 50 distinct positive integers be chosen such that the highest among them is 100, and the average of the largest 25 integers among them exceeds the average of the remaining integers by 50. Then the maximum possible value of the sum of all the 50 integers is _________.$

Verbal Ability

45 questions

Bananas, apples, and avocados continue to ripen after they are picked. Cherries, blackberries, and grapes do not. The difference between climacteric fruits (the former) and non-climacteric fruits (the latter) matters to fruit growers and greengrocers, who must make sure their wares are in tip-top condition when they arrive at the marketplace. But how those differences originally came about remains unclear. Two biologists of the University of Tokyo offer a suggestion. Fruits, they observe, exist to solve a problem faced by all plants-how best to spread their progeny around. Wrapping their seeds in a sugary pulp to provide a tasty meal serves as a way to get animals to do this for them. They do, however, need to make sure that their fruits favour the animals most likely to do the distributing. The biologists propose that climacterism, or its absence, is a way to achieve this. If ground-dwelling animals are the main distributors, then the continuing ripening of fallen fruit (i.e., climacterism) is beneficial. If, by contrast, those distributors are arboreal or aerial, and so can feed on unfallen fruit, then non-climacteric fruits will do well. To test their idea, the two researchers studied 80 varieties of fruits, and noted which animals each depended on for its propagation. 35 of these fruits, eaten by both ground-dwelling animals and arboreal or aerial animals, were non-climacteric. Further, 15 of the 19 varieties eaten principally by ground-dwellers were climacteric, while 21 of the 26 fed on by arboreal or aerial animals were non-climacteric. That is a suggestively strong correlation. And the authors' hypothesis is fortified by other evidence. They point out that non-climacteric fruits tend to have vivid colours, especially reds and purples. This may help them to stand out amid the foliage of their parent plants, advertising their presence. Climacteric fruits are generally better camouflaged. That makes them harder to spot until they have fallen to the ground. The main limitation of their work is that they looked at fruits eaten by people. This has probably contaminated the sample, for thousands of years of selective breeding for traits that human beings find appealing may have blurred any signal optimised by natural selection. The next step, therefore, should be the analysis of wild fruits.
46 $The main point the writer makes is that fruit-bearing plants$
Tap an option to check your answer.
47 $The study has been based on$
Tap an option to check your answer.
48 $Which one of the following options means 'arboreal' and 'camouflage'?$
Tap an option to check your answer.
49 $The origins of the distinguishing characteristics between the two types of fruits, climacteric and non-climacteric are$
Tap an option to check your answer.
50 $According to the passage, the interest in the difference between climacteric and non-climacteric fruits is in the$
Tap an option to check your answer.
51 $Consider the following two Findings: (i) Non-climacteric fruits tend to have vivid colours. (ii) Thirty-six varieties of climacteric and non-climacteric fruits were eaten predominantly either by ground-dwellers, or by arboreal or aerial animals respectively. According to the passage,$
Tap an option to check your answer.
On the 14th of May 1796, vaccine matter was taken from the hand of a dairy maid, Sarah Nelmes, and inserted by two superficial incisions in the arms of James Phipps, a healthy boy of about eight years of age. The boy went through an attack of cowpox as expected. After this, however, it was necessary to determine whether he was protected from smallpox. After waiting two months Jenner inoculated him with material from a smallpox patient. He was delighted to note that the boy was not affected by smallpox. By 1798, Jenner had succeeded in demonstrating the protective quality of the cowpox virus against smallpox, by putting on record details of 23 cases, contracted either casually or by direct inoculation. Sixteen of these had occurred accidentally among dairy workers in the course of occupations connected with cows and horses; the rest were done under Jenner's direction. Among the persons inoculated was Jenner's own little second son, Robert Harding Jenner, an infant eleven months old. Jenner demonstrated conclusively that the cowpox protects the human constitution from the infection of smallpox. After Dr. Jenner had made his tests, he prepared a pamphlet for publication. He also went to London, so that he might have the opportunity to introduce the subject personally to friends and demonstrate the truth of his assertion to them. He remained in London for nearly three months without being able to find anyone who would submit to vaccination. Jenner went back to Gloucestershire, disappointed. It happened, however, that soon after his return home, a distinguished London surgeon named Cline resolved to make a trial of the vaccine material which Jenner had left with his friends. The patient was a child suffering from a form of chronic hip-joint disease. The vaccine material was inoculated, and the vaccine vehicle ran rather a normal course and healed fully. The little patient was afterward inoculated with smallpox virus and found to be incapable of acquiring that disease. This case attracted considerable attention. The child was in a run-down condition, and the vaccine material might very well have provoked a rather serious local reaction. In a way, the fate of vaccination hung in the balance and good luck was in its favour. Mr. Cline, however, after this, became a strong advocate of vaccination, and brought it very decidedly before the London physicians. It was not long before the opposition to the practice of vaccination took definite form. One of the best-known London physicians of the time, Dr. Ingenhouz, became the leader of a strong faction of the medical profession of London, who not only would have nothing to do with vaccination, but proclaimed openly that it was a dangerous innovation, absolutely unjustifiable, and communicated a disease without protecting against any other. Dr. Watt from Glasgow blamed the vaccine for the increase in severe cases of measles and measles-related deaths among children. Fortunately, only a few colleagues were so illogical, and an excellent idea of how much Jenner's discovery was appreciated by his contemporaries may be obtained from the number of honours, diplomas, addresses and communications from public bodies and distinguished individuals which he received. Most of the prominent medical and scientific societies of Europe elected him a member or sent him some special token of recognition.
52 $Local reaction' refers to$
Tap an option to check your answer.
53 $Jenner received a lot of recognition from medical bodies because$
Tap an option to check your answer.
54 $According to the author, the main idea in the passage is$
Tap an option to check your answer.
55 $On returning from London, Dr. Jenner was disappointed because$
Tap an option to check your answer.
56 $Twenty-three cases were put on record with the objective to explain very clearly that$
Tap an option to check your answer.
57 $By calling the vaccine unjustifiable, Dr. Ingenhouz meant that vaccination$
Tap an option to check your answer.
58 $Some of the best spies take the guise of innocuous secretaries or researchers and are able to send large amounts of information to their heads of espionage, as they are ________________________.$
Tap an option to check your answer.
59 $Ever since Girish won the prestigious Infosys prize, he has been behaving _______________________.$
Tap an option to check your answer.
60 $Flying this simple aeroplane is a ________________ for the experienced pilot.$
Tap an option to check your answer.
61 $For the past three decades, this chain of coffee shops has been committed to building a culture where everyone is welcome. They are an ally to the LGBTQ community, and this is just one instance of their ________________.$
Tap an option to check your answer.
62 $Leela is always nasty and inconsiderate with her colleagues; now that she has a rude superior, she is getting _____________.$
Tap an option to check your answer.
63 $She _______________________ her classmates because she comes from a very rich, aristocratic family.$
Tap an option to check your answer.
64 $I still have two more difficult exams left, but I'm trying to __________________; after these I won't have any more for a year!$
Tap an option to check your answer.
65 $If I had known that you needed to go to the airport yesterday, I could drive you there.$
Tap an option to check your answer.
66 $The Principal and professors are authorized to sanction leave to a student provided she will have a good attendance record.$
Tap an option to check your answer.
67 $When all the words on the page got scrambled, she quickly pressed undo, after which the document reverted back to its original state.$
Tap an option to check your answer.
68 $His talk on heritage sites has picked up my interest.$
Tap an option to check your answer.
69 $He was having a difficult time, but never once he complained.$
Tap an option to check your answer.
70 $This winter, I wish to go to the beaches for a holiday. I think I will go to Goa, India's most well-known beach holiday destination. It is about 600 km away from Mumbai, so reaching there is not a major problem. ___________________________. The major Goan beaches are tourist attractions and have some good beach-view hotels and plenty of shops selling touristy things such as beach robes, hats, jewellery, bags, and more.$
Tap an option to check your answer.
71 $Nowadays, many teenagers and young adults around the world have to spend most of their time studying in order to get top grades, a university place, and a good job. ________________________________. There are several causes for this situation, one of the main ones being exams. These are stressful experiences, and most students take a huge number of them during their school career.$
Tap an option to check your answer.
72 $__________________________________________. In Southeast Asia, for example, climate and lifestyle factors mean that people spend much more time in shopping malls than Europeans do, who might go shopping once a fortnight. Then there are gender variations in the way we shop. As descendants of hunter-gatherers, accumulating is in our blood, but how you go about it depends on whether you are male or female.$
Tap an option to check your answer.
73 $The people of the Indus Valley civilization wrote with a script. So far scholars have been unable to decipher that script. Archaeologists who have been excavating newly discovered sites in Mesopotamia hope to find a text that has scripts from both the Indus valley and Mesopotamia, the second of which has already been deciphered. __________________.$
Tap an option to check your answer.
74 $The beauty of ______________ is that it poses thought-provoking questions and inspires us to think deeply about _____________ and life in general. Further, ______________ about the ideas and perspectives outlined by different thinkers can help us to gain a better _______________ of the world we live in.$
Tap an option to check your answer.
75 $Everyday more than 1 billion promotional messages are sent that are commercial and ___________________. Although _______________ have used more technology to stop this, ________________ find ways around it.$
Tap an option to check your answer.
76 $Visually strong, __________________ films of the 1920s are _______________ preserved and suffer from censorship cuts, leading to the __________________ that they were primitive and barely watchable.$
Tap an option to check your answer.
77 $Achieving spaceflight enabled humans to begin to explore the solar system and the rest of the _______________, to understand the many objects and ____________ that are better observed from a space perspective, and to use for human benefit the resources and attributes of the space environment. All of these activities - discovery, scientific understanding, and the ______________ of that understanding to serve human purposes - are elements of space ________________.$
Tap an option to check your answer.
78 $The investigators have _____________ that he had leaked confidential _______________ information about the acquisition, thereby allowing associates to profit _________________ from the deal.$
Tap an option to check your answer.
79 $In an anthropocentric ______________, animals are no more than property to human beings. Therefore, the concepts of 'humane' treatment and 'necessary' __________ are economic in nature. The idea that killing animals is not a serious issue as long as animals are not made to suffer rests ___________ on the widely accepted idea that animals do not have a right to life.$
Tap an option to check your answer.
80 $One of the statements below contains a word used incorrectly. Choose the option which has the incorrect or inappropriate usage of the word.$
Tap an option to check your answer.
81 $One of the statements below contains a word used incorrectly. Choose the option which has the incorrect or inappropriate usage of the word.$
Tap an option to check your answer.
82 $One of the statements below contains a word used incorrectly. Choose the option which has the incorrect or inappropriate usage of the word.$
Tap an option to check your answer.
83 $One of the statements below contains a word used incorrectly. Choose the option which has the incorrect or inappropriate usage of the word.$
Tap an option to check your answer.
84 $One of the statements below contains a word used incorrectly. Choose the option which has the incorrect or inappropriate usage of the word.$
Tap an option to check your answer.
85 $One of the statements below contains a word used incorrectly. Choose the option which has the incorrect or inappropriate usage of the word.$
Tap an option to check your answer.
86 $The sentences given below, when properly sequenced, form a coherent paragraph. 1. A sub-par monsoon cuts farm yields, output, and farm incomes, increasing the country's dependence on food imports. 2. A robust monsoon will help put a lid on food inflation by increasing domestic output of a variety of goods and commodities. 3. This is because half the Indian population depends upon farm-derived income. 4. The June-to-September rain-bearing system is often called the lifeblood of the country's economy. 5. Unfortunately, however, nearly 40% of India's net sown area does not have access to irrigation.$
87 $The sentences given below, when properly sequenced, form a coherent paragraph. 1. The popularity of these creations grew along with that of the tea ceremony in the 16th century. 2. However, savvy tourists find the best bargains for ceramics in Tokyo's Kitchen Town. 3. Modern shops in touristy spots display thousands of them, both hand crafted and factory made. 4. Japanese artisans have been making ceramics, known as Yakimono since prehistoric times.$
88 $The sentences given below, when properly sequenced, form a coherent paragraph. 1. This means the brain receives less input over the course of a day. 2. Youthful eyes jiggle regularly to take in new or unfamiliar stimuli. 3. As the person attached to those eyes ages, the eye muscles grow slower and the pathways between the eye and the brain grow longer, more complex, or, in some cases, get damaged. 4. Our eyes quickly scan the surroundings and then send the data to the brain. 5. Human eyes perform jiggles, more formally called saccades, in response to a change in the field of vision.$
89 $The sentences given below, when properly sequenced, form a coherent paragraph. 1. Located in the foothills of the Sion Fort, the lake is a Grade II-A heritage structure, dating back to the 17th century. 2. Once home to several marine creatures, the lake is now surrounded by high-rise residential buildings. 3. The Municipal Corporation is set to breathe life back into the city's Sion Talao (Lake) with the rejuvenation and beautification of the centuries-old lake. 4. Over the years, the lake has lost its prominence. 5. Earlier the talao was a known natural water tank with the Sion hillock expanding around it like an enclosing wall.$
90 $The sentences given below, when properly sequenced, form a coherent paragraph. 1. The Central African Republic has approved Bitcoin as an official currency. 2. Experts foresee that this will damage the environment as well as the economy. 3. Others claim that this may make money laundering easy and also use up a lot of electricity. 4. Economists criticised this move as a potential risk to the financial stability of the nation.$

Want the real exam feel? Sit this paper with a 120-minute timer and get your score straight away.

Sit it as a timed mock