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JIPMAT 2022 Question Paper

For the following questions answer them individually

A sum becomes double in 10 years. Then what is the annual rate of simple interest?

P, Q, and R invested Rs. 25,000, Rs. 50,000, and Rs. 25,000 respectively to start a business. At the end of two years, they earned a profit of Rs. 48,000. What will be Q's share?

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Match List I with List II. Choose the correct answer from the options given below:

The population of a village is 5000. If in a year, the number of males were to increase by 5% and that of females by 3% annually, the population would grow to 5202 at the end of the year. If M is the number of males and F is the number of females in the village, then (M,F) =

If A earns $$33\dfrac{1}{3}$$% more than B, then the percentage B earns less than A will be:

Which of the following trigonometric identities are true?
$$\sin^{2} (41^{\circ}) + \sin^{2} (49^{\circ}) = 1$$
$$\sin^{2} (60^{\circ}) - 2\tan (45^{\circ}) - \cos^{2}(30^{\circ}) = -1$$
$$\sin^{2} (\theta) + \dfrac{1}{1 + \tan^{2} (\theta)} = 1$$

Which of the following is the value of m for which the polynomial $$x^{4}+10x^{3}+25x^{2}+15x+m $$ is exactly divisible by $$x+7$$?

The area of a circular playground is 22176 $$cm^{2}$$. What is the cost of fencing this ground at the rate of ₹50 per metre?

The sum of $$n-$$ terms of sequence $$\dfrac{1}{1\times2}+\dfrac{1}{2\times3}+\dfrac{1}{3\times4}.......$$ is

If A can do 1/4 of a work in 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in total?

Two poles of height 6 m and 11 m stand vertically upright on a plane ground. If the distance between their foot is 12 m, then the distance between their tops is

The value of a flat worth ₹500,000 is depreciating at the rate of 10% per annum. In how many years will the value be reduced to ₹364,500?

How many liters of water should be added to a 30 liters mixture of milk and water containing milk and water in the ratio 7 : 3 such that the resultant mixture has 40% water in it?

Given below are two statements:
Statement I : The sum of exponents of prime factors in the prime factorization of 392 is 5.
Statement II : The decimal representation $$\dfrac{13}{2^{3}\times5}$$ will terminate after 2 decimal places.
In the light of the above statements, choose the correct answer from the options given below:

Given below are two statement based on the following
If A and B are independent events such that P(A)=p, P(B)=2p and P (exactly one of A,B) = $$\dfrac{5}{9}$$
Statement I: p = $$\frac{1}{3}$$
Statement II: p = $$\frac{5}{12}$$
In the light of the above statements, choose the correct answer form the question given below

Given below are two statements based on the following:
A motor boat can travel 30 km upstream and 28 km downstream in 7 hours. It can travel 21 km upstream and return in 5 hours.
Statement I: Speed of the boat in still water is 12 km per hour.
Statement II: Speed of the stream is 4 km per hour.
In the light of the above statements, choose the correct answer from the options given below:

The floor of a room is 15m 17cm long and 9m 2cm broad. What is the least number of square tiles required to pave the floor?

Two persons, A and B, start from the same point and travel from Chandigarh to Ambala. The distance between Chandigarh and Ambala is 60 km. Speed of A is 4km/hr slower than B. B, when he reaches Ambala, starts back via the same route without taking any rest and meets A, who was still 12km away from Ambala. Find the speed of A.

The fatherʼs age is six times his sonʼs age. Four years hence, the age of the father will be four times his sonʼs age. The present ages (in years) of the son and the father are, respectively

Three years ago, the ratio of the ages of Amisha and Namisha was 8:9. Three years from now, the ratio will become 11:12. What is the present age of Amisha?

If the radius of each of four outer circles is $$r$$, then the radius of the innermost circle is

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If $$\sin(\alpha)$$ and $$\cos(\alpha)$$ are the roots of the equation $$ax^{2}+bx+c=0$$, then $$b^{2}$$ is

If the mean of a, b and c is $$M$$; ab + bc + ca = 0; and the mean of $$a^{2}$$, $$b^{2}$$ and $$c^{2}$$ is $$KM^{2}$$ then $$K$$ is equal to

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Match List I with List II. Choose the correct answer from the options given below:

$$\dfrac{\sqrt{5}+\sqrt{3}}{\sqrt{8-2\sqrt{15}}}+\dfrac{\sqrt{11+2\sqrt{30}}}{\sqrt{6}-\sqrt{5}}$$

If $$a\times b=2a- 3b+ab$$, then $$3\times 5+5\times 3$$ is equal to

The value of $$\dfrac{325\times 325 \times 325 + 175 +175 +175}{325\times 325 -325 \times 175+175 \times 175}$$ is

Given below are two statements:
Statement I: In $$\triangle ABC$$, $$AB=6\sqrt{3}cm$$, $$AC=12cm$$ and $$BC=6cm$$, then angle $$B=90^{o}$$
Statement II: In $$\triangle ABC$$, is an isosceles with $$AC = BC$$. If $$AB^{2}= 2AC^{2}$$, then angle $$C=90^{o}$$
In the light of the above statement, choose the correct answer form the question below.

Given below are two statements:
Statement I: If $$sin(\theta) =\dfrac{5}{13}$$, then the value of $$tan(\theta)=\dfrac{5}{12}$$

Statement II: If $$cot(\theta) =\dfrac{12}{5}$$, then the value of $$sin(\theta)=\dfrac{5}{12}$$

A two digit number is 7 times the sum of its two digits. The number that is formed by reversing its digits is 18 less than the original number. What is the number?

The equation of the circle which passes through the point (4, 5) and its centre at (2, 2) is

Following expenditure was incurred by a company under different heads:

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A teacher has partial data of the student result:

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The other information available is:
1. Half the students have grade A and B
2. 50% of the students are girls
3. $$\frac{1}{4}th$$ of boys have grade C

The numbers of girls who have grade B and number of girls who have grade C are:

The number of girls, boys and total number of students is:

Half the students have grade A or B. The number of girls of Grade A and total (girls and boys) having grade A are:

Number of boys who have grade B and the number of boys who have grade C are:

For the following questions answer them individually

Sheela is the wife of Arun. Deepak is the brother of Sheela. Geeta and Mita are children of Sunita, who is wife of Deepak. How is Arun related to Mita?

Three statements are given. Based on the three statements, four conclusions are given.
Consider the three statements as True and decide which of the conclusions logically follow from
the statements: Statements:
All Sparrows are birds.
All birds are mountains.
All mountains are skies.
Conclusions:
I) All Sparrows are skies.
II) All Skies are birds.
III) All mountains are sparrows.
IV) All birds are skies.

Various terms of an alphabet series are given with one or more terms missing as shown by (?).
Choose the missing term out of the given options: AGDLX, GDLXA, DLXAG, ?, XAGDL, AGDLX

Read the following information:
A and C are good in History and Biology.
A is also good in Maths.
B and D are good in Physics.
A is also good in Chemistry.
C and D are good in Chemistry.
Who is/are good in four of these five subjects?

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In a box, there are several balls. The pie-chart shows the percentage-wise distribution of 5 different colours of balls; and total number of balls = 1000. Also, the ratio of the light and dark shades of the six colours of balls is given.

What is the total percentage of orange, yellow and pink balls in the box?

What is the difference between number of light red balls and number of dark yellow balls?

For the following questions answer them individually

Four friends Jaspreet, Rohit, Rihanna and Blessy like different sports. All of them are active
members of their clubs. One person can become a member of one club only. There are three clubs- Dance, Theatre and Eco club in the school. Jaspreet, who likes swimming, is not a member of the dance club. Rihanna is a member of a dance club but does not like tennis. Rohit likes badminton but is not a member of the theater or dance club. Blessy is a member of Eco club and does not like swimming and badminton. Who likes badminton and is a member if Eco club?

Study the following pie-chart and answer the following questions:
Percentage-wise participation of students in various activities:

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Total number of students = 40.

How many students participated is mask-making and paper-quilling activity?

For the following questions answer them individually

Pointing towards a person in a photograph Rani said, 'He is the only son of the father of my sister's brother'. How is the person in the photograph related to Rani?

Consider an alphabetic series shown below as: A, C, F, J. The next two terms of the series are?

Find the missing term in the series given below: $$6,8,4,6,3,5,?,\dfrac{9}{12},...$$

The numbers in the figure below have been generated using certain logic/pattern.

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Using that logic/pattern, find out the number that can be inserted in place of ?

Given the following number codes: 623 = 49, 516 = 62, and 438 = 89. Then what is 583?

Find the wrong term in the series given below: 1, 9, 33, 105, 158

A man walks 3 km east from his house, then turns south and walks 4 km, and finally turns west and walks 6 km. How far is he from his starting point?

The numbers in the figure given below have been generated using some logic/pattern.

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Using that logic/pattern, find out the number that can be inserted in place of ?

Which of the following diagrams best indicates the relationship among deer, lion, and animals?

Based on the relationship between the first two words on the left side of '::' as given below,
choose the correct word in place of '?' to express a similar relationship.
Botany : Plants :: Entomology : ?

If $$+$$ meams $$\div,\div$$ means $$-$$, $$-$$ means $$\times$$, and $$\times$$ means $$+$$ then find the value of the following expression: $$5-(13-4+2\div6\times15\div5)$$

There is a certain relationship between two given terms on one side of '::' and one term is given on the other side of '::'. Find the term that has the same relationship with this term as the terms of the given pairs have.
LCQJ : METN :: ABDF : ?

A person belonging to the same period with another person is called _______

The doctor ______ special course of antibiotics on the patient to ______ the disease.

Identify the word which means the same as ‘siftʼ.

Pick out the correct sentence in passive voice of the following sentence: 'We compelled the enemy to surrender'.

Which of the following sentences is correct?

Which of the following sentences is correct?

Pick out the part of sentence which has an error. If there is no error mark ‘4ʼ.
A) It wasn't necessary for her
B) To take time of work
C) when her son was ill

Pick out the correct sentence in passive voice of the following sentence: 

Some boys were helping the wounded man.

Pick out the part of the sentence which has an error. If there is no error mark ‘4ʼ.
A) A white rhinocerous
B) is close
C) to extinction

Which of the following sentences is correct?

What figure(s) of speech are used in the given sentence? 

My beloved is like a red red rose.

Fill in the blank with the most appropriate word:
When people are _______, as long as they hold fast to their language, it is as if they have the key to their prison.

The following sentence is divided into three parts. One of the parts has an error. Identify the part which has an error. If there is no error, mark ‘4ʼ.
A) The admission ticket
B) entitling her to
C) win a prize

This question has a sentence with two blanks followed by four pairs of words as choices. From the choices, select the pair of words that can best complete the given sentence: 

We are truly ______ to the many hands and hearts that made this book ______.

Find out an appropriate synonym for the word 'Ebullient':

Pick out the correct sentence in indirect speech of the following sentence: 

He said to me, “What are you doing?ˮ

No sooner did the chairman _________ than the directors put up their demand.

Rearrange the following parts of a sentence in order to make a meaningful sentence:
P. for five years, I was sure
Q. when I decided to go abroad
R. that my grandmother would be upset
S. and at her age one could never tell

Read the following passage carefully and answer the questions that follow.
Manʼs growth from barbarism into civilization is supposed to be the theme of history. But sometimes, looking at great stretches of history, it is difficult to believe that we are very much civilized or advanced. There is enough of want of co-operation today as we see one country or people selfishly exploiting another.
Man in many ways has not made very great progress from other animals. Still, we look down upon the insects as almost the lowest of living things and yet the tiny bees and ants have learnt the art of co-operation and of sacrifice for the common good far better than man. If mutual co-operation and sacrifice for the good of society are the test of civilization, we may say that the bees and ants are superior to man. The old saying goes as follows: “For the family, sacrifice the individual, for the community, the family, for the country, the community, and for the soul, the whole world.ˮ It teaches us the lesson of co-operation and sacrifice for the larger good which we may have forgotten. How wonderful it is to see men and women, and boys and girls smilingly going ahead on the path of progress without caring any pain or suffering? Well, may they smile and be glad for the joy of serving a great cause which is theirs; and for those who are fortunate, comes the joy of sacrifice too.

How can we be truly civilized?

Animals are superior to men because of their ________

What is the theme of the above passage?

What is the basic reason for the exploitation of one man by another?

For the following questions answer them individually

Pick out the correct sentence in indirect narration of the following sentence: He said, 'How wise I am!'

Pick out the antonym of the word ‘dissimulateʼ.

Pick out the correct sentence from the following sentences.

Pick out the part of the sentence which has an error. If there is no error, mark ‘4ʼ.
A) As I haven't see all the evidence.
B) I am reluctant
C) to make a judgement

Pick out the antonym of the word ‘jocundʼ.

Rearrange the following parts of a sentence in order to make a meaningful sentence.
P. responsible for anything
Q. we would be held
R. that went wrong
S. we were told that

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