10 JIPMAT 2024
10.1 Quantitative Ability
What will be the least number which when divided by 12, 21 and 35 leaves 6 as a remainder in each case?
A candidate scoring x% marks in an examination fails by ‘a’ marks while another candidate who scores y% marks, gets ‘b’ marks more than the minimum required pass marks. What is the maximum marks for the examination?
An equilateral triangle ABC is inscribed in a circle of radius \(20\sqrt{3}\) cm. The centroid of the triangle ABC is at a distance d from the vertex A, then d is equal to?
An amount doubles itself at compound interest in 5 years. How many years will it take to make the amount 16 times itself ?
A company offers four types of successive discounts A - D on the marked price of an article. Arrange these successive discounts A - D in ascending order based on the final price of the article after discounts.
- 25% and 15%
- 30% and 10%
- 35% and 5%
- 15% and 20%
A man sold \(\dfrac{3}{5}^{\text{th}}\) of his articles at a gain of 20% and the remaining at the cost price. The gain earned in the transaction is
Given below are two statements :
Given that \(a : b = 5 : 3\) and \(b : c = 2 : 5\), then \((c - a)\) will be equal to
Statement I: \(10(a + c)\)
Statement II: \(10a + 25b\)
In the light of the above statements, choose the correct answer from the options given below :
The HCF and LCM of two numbers x and y are respectively 6 and 210. If \(x + y = 72\), then \(\frac{1}{x}+\frac{1}{y}\) is equal to.
The average of five consecutive numbers is a. If the next two numbers are also included, how will the average vary?
Match List I with List II
Choose the correct answer from the options given below :
| List - I (Expression) | List - II (Absolute Value) |
|---|---|
| (A) \(\sqrt{15\times 163 \div 5 - 89}\) | (I) 105 |
| (B) \(\sqrt{15^{2} + 11\times 3^{2}}\) | (II) 20 |
| (C) \(\sqrt{8^{2}\times 7\times 5^{2} - 175}\) | (III) 10 |
| (D) \(\sqrt{91 + \sqrt{70 + \sqrt{121}}}\) | (IV) 18 |
If the seven digit number 94a29b6 is divisible by 72 , then what is the value of (2a + 3b) for \(a = b\) ?
An equilateral triangle ABC is inscribed in a circle of radius \(20\sqrt{3}\) cm. What is the length of the side of the triangle ?
Given below are two statements : In class ‘X’ of 30 students, 24 passed in first division; in another class ‘Y’ of 35 students, 28 passed in first division.
Statement I : Class ‘X’ has more percentage of students getting first division.
Statement II : Both classes have equal percentage of students getting first division.
Arrange the following fractions in descending order.
- \(\dfrac{5}{9}\)
- \(\dfrac{7}{11}\)
- \(\dfrac{8}{15}\)
- \(\dfrac{11}{17}\)
Simplify: \(\dfrac{\sqrt[4]{0.0625}+\sqrt[3]{0.008}+\sqrt{0.09}-1}{\sqrt[3]{62.5}\times\sqrt[5]{32}}\)
Instructions [16-17]:
Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 AM from A at a speed of 5 km/hr, reaches B and comes back to A at the same speed. Shyam starts at 9:45 AM from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed.
At what time do Ram and Shyam meet each other ?
At what time does Shyam overtake Ram ?
If the roots of the equation \(x^2 - px + 54 = 0\) are in the ratio 2 : 3 , then value of p is:
If each side of a cube is decreased by 19% , then the decrease in surface area is :
Given below are two statements:
Statement I: \(\dfrac{\cot 30^\circ + 1}{\cot 30^\circ - 1} = 2(\cos 30^\circ + 1)\)
Statement II: \(2 \sin 45^\circ \cos 45^\circ - \tan 45^\circ \cot 45^\circ = 0\)
Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : The sum of n terms of the Progression \(1 + \dfrac{1}{2} + \dfrac{1}{2^2} + \dfrac{1}{2^3} + \ldots\) is \(\dfrac{2^{(n-1)} - 1}{2^{(n-1)}}\)
Reason (R) : Sum of a geometric series having n terms is given by \(S_n = \dfrac{a(1 - r^n)}{1 - r}\), where a is the 1st term and r is the common ratio.
A is 40% less efficient than B who can do the same work in 20% less time than C. If A and B together can complete 80% work in 12 days, then in how many days work 60% work can be completed by B and C together ?
A speaks the truth in 75% cases and B in 80% of the cases. In what percentage of cases are they likely to contradict each other in narrating the same incident?
By selling two articles for ₹ 800 , a person gains the cost price of three articles. The profit percent is :
A person travels three equal distances at a speed of ‘a’ km/hr, ‘b’ km/hr and ‘c’ km/hr respectively. What is the average speed for the whole journey?
If \(\alpha\) and \(\beta\) are the roots of the equation \(ax^2+bx+c=0\) then the value of \(\dfrac{1}{a\alpha+b}+\dfrac{1}{a\beta+b}\) is:
The sides of four triangles are given below. Which of them forms a right triangle ?
- 20 cm, 22 cm, 24 cm
- 15 cm, 32 cm, 37 cm
- 11 cm, 60 cm, 61 cm
- 6 cm, 8 cm, 10 cm
The factors of polynomial \(x^3 - 6x^2 + 11x - 6\) are:
A circle, square, equilateral triangle and regular pentagon have the same areas. Arrange the following in ascending order based on their perimeters.
- Circle
- Square
- Equilateral triangle
- Regular pentagon
If highest common factor of \(x^2-px-q\) and \(5x^2-3px-15q\) is \((x-3)\), then value of \((p, q)\) will be:
If \(\sin\theta + \cos\theta = \dfrac{\sqrt{7}}{2}\), then \(\sin\theta - \cos\theta\) is equal to:
Fifteen people from different places come together for a family reunion. Each one of them had two gifts each for every other person. When the gifts were exchanged they hugged each other. What is the difference between the number of hugs and the number of gifts exchanged?
The points (2,2), (6,3) and (4,11) are vertices of :
10.2 Logical Reasoning
Exception I: If a number begins and ends with a non-zero odd digit, then the first and last digits are to be coded as Y and * respectively.
Exception II: If a number begins and ends with an even digit (including zero), then the first and last digits are to be coded as β and X respectively. Which of the following numbers can the code YH₹ME* represent?
- 138450
- 338457
- 538459
- 438458
| Digit | 8 | 3 | 0 | 7 | 4 | 6 | 9 | 2 | 5 | 1 |
|---|---|---|---|---|---|---|---|---|---|---|
| Code | ₹ | H | R | A | M | % | L | K | E | # |
A cashier has ₹ 620 in the denominations of two-rupee notes, ten-rupee notes and fifty-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he/she has ?
Five friends A, B, C, D and E travelled to five different cities; Pune, Kolkata, Delhi, Bengaluru and Mumbai by different modes of transport; bus, train, aeroplane, car and boat from Goa. Further, the following information is given :
- The person who travelled to Delhi did not travel by boat.
- C went to Bengaluru by car and B went to Kolkata by
aeroplane.
- D travelled by boat and E travelled by train
- Goa is not connected by bus to Delhi and Pune. Now, which of the following pair of person and mode of transport is NOT correct?
In a certain code language, if GREEN is coded as 1677209 , then how would BLUE be coded in that language ?
Match List I with List II Choose the correct answer from the options given below :
| List I (Pattern) | List II (Missing Term) |
|---|---|
| (A) 8, 13, 21, 32, 46, 63, ? | (I) 40 |
| (B) 20, 80, 30, 60, 40, ?, 50, 20 | (II) 101 |
| (C) 0, 2, 3, 5, 8, 10, 15, 17, 24, 26, ? | (III) 83 |
| (D) 6, 13, 25, 51, ? | (IV) 35 |
The main statement is followed by two conclusions. Select the one alternative that logically follows from the main statement. Statement: The use of non-conventional sources of energy will eliminate the energy crisis in the world.
Conclusions :
I. Modern technology is gradually replacing the conventional sources
of energy.
II. The excessive exploitation of environment has led to depletion of
conventional sources of energy.
Six girls are sitting in a circle facing towards the centre of the circle. Sonia is sitting opposite Radhika. Purnima is sitting to the right of Radhika but to the left of Deepti. Monika is sitting to the left of Radhika. Kamini is sitting to the right of Sonia and to the left of Monika. Now Deepti and Kamini, Monika and Radhika mutually exchange their positions. Who will be sitting to the left of Deepti ?
Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : When lightning strikes, the sound is heard a little after the flash is seen.
Reason (R) : The velocity of light is greater than that of the sound.
In the light of the above statements, choose the correct answer from the options given below :
A watch which gains uniformly is 2 minutes slow at 10AM on Wednesday and \(2\frac{1}{2}\) minutes fast at 1 PM the following day. When will it show the correct time ?
There is a certain relationship between two given terms on one side of (: :) and one term is given on the other side of (::). Another term is to be found from the given alternatives having the same relation, with this term, as the terms of given pair. AFHO : GBDJ : : CHFM : ?
Find the odd word among the following :
Choose the correct answer from the options given below :
Find the pair of numbers that can replace the question mark (?) in the series given below :90, 180, 12, 50, 100, ?, ?, 3, 50, 4, 25, 2, 6, 30, 3.
Conscience’ is related to ‘Wrong’ in the same way as ‘Police’ is related to:
A cube is coloured red on all of its faces. It is then cut into 64 smaller cubes of equal size. Which of the following statements are correct?
- The number of smaller cubes with two surfaces painted is 36.
- The number of smaller cubes with one surface painted is 24.
- The number of smaller cubes with no surface painted is 8.
- The number of smaller cubes with at least two surfaces painted is 30.
Find the missing term that can replace the question mark (?) in the series given below : A2Y, B8V, D33R, ?, K765G.
Pointing to a photograph, a woman says, ‘this man’s son’s sister is my mother-in-law.’ How is the woman’s husband related to the man in photograph?
Instructions [51-53]:
The following table gives the expenditure details of a family during the years 2011 to 2015.
| Item of Expenditure | 2011 | 2012 | 2013 | 2014 | 2015 | Total |
|---|---|---|---|---|---|---|
| Food | 800 | 900 | 1050 | 1200 | 1400 | 5350 |
| House Rent | 150 | 150 | 210 | 240 | 300 | 1050 |
| Clothing | 75 | 100 | 130 | 170 | 250 | 725 |
| Fuel and Electricity | 30 | 40 | 50 | 60 | 70 | 250 |
| Education | 150 | 170 | 200 | 260 | 300 | 1080 |
| Medical Expenses | 75 | 90 | 100 | 110 | 150 | 525 |
| Miscellaneous | 220 | 250 | 260 | 360 | 430 | 1520 |
| Total | 1500 | 1700 | 2000 | 2400 | 2900 | 10500 |
(in ₹ Thousands)
What is the percentage increase in expenditure on education during 2011 to 2015 ?
In the light of the total expenditure for 2011, 2012, 2013, 2014 and 2015, what will be the likely expenditure in 2016 ?
Considering the total expenditure for all the five years together, what is the percentage expenditure on house rent ?
A square park PQRS of side 90 m is so located that its diagonal PR is from north to south and the corner Q is to the west of S. Radha and Mohan start walking along the sides from Q and R respectively in clockwise and anti-clockwise directions with speeds of 8 km/hr and 10km/hr . Where will they cross each other the second time ?
Instructions for questions 55 to 57: Study the pie chart below showing the percentage expenses on various items during book production, then answer the questions that follow.
A cube has six numbers marked 1,2,3,4,5 and 6 on its faces. Four views of the cube are shown below :
Find the number of triangles in the following figure :
Unscramble the letters in the given words to generate meaningful words and then find the odd one out. POROT, ROPUG, BMO, SALCS
The following graph shows Gross Traffic Receipts and Total Expenditure (in ₹) from 2015 to 2019 . In order to make a profit of 10%, what should have been the approximate gross traffic receipts in 2016, total expenditure remaining the same ?
Study the diagram given below and find the number which represents the uneducated women, who have a government job as well as a job in private sector?
Instructions for questions 60 to 61: The following pie chart shows the percentage of marks scored by Sam in five subjects. Use it for questions 60 and 61.
The central angle corresponding to the sector on ‘Printing cost’ is more than that of ‘Advertisement charges’ by
The following pie chart shows percentage expenses on various items during book production. 72o 61.2o 60o 54.8o
If the miscellaneous charges are ₹ 6,000 , how much more are ‘Binding and Cutting charges’ than ‘Royalty’?
In the following question, a Statement is given followed by Arguments I and II. Choose the best option. Statement: Should public holidays be declared on demise of important national leaders ? Arguments: I. No, such unscheduled holidays hamper national progress. II. Yes, people would like to pay their homage to departed soul.
The following graph shows economic data for the financial year 2023: In 2023, the Middle East and North Africa’s percent growth in GDP was approximately what percent greater than Southern Continental Africa’s percent growth in GDP?
How many such pairs of letters are there in the word INSTRUCTION which have as many letters between them in the word as in the English alphabet?
Which of the following words CANNOT be formed from the letters of the word ‘INFRASTRUCTURE’ ?
Prakash remembers that his wife Roshni’s birthday falls after 20th May but before 28th May, while Jyoti remembers that her mother Roshni’s birthday falls after 26th May but before 30th May. On what date does Roshni’s birthday fall ?
10.3 Verbal Ability
Pick the most appropriate punctuation mark for the following sentence : “There goes the bell ___”
Choose the option which best replaces the underlined phrase in the following sentence. “In a few minutes’ time, when the clock strikes six I would be waiting here for an hour”. 20th 28th 26th 30th 26th 27th 28th 29th
Which of the following is the synonym of the term “HACKNEYED”?
Out of the given options, pick the one which best expresses the following sentence in indirect speech. The coach said, “Well done ! You have made me proud.”
Pick the active voice of the following sentence : “The national anthem is being sung by the players”.
The idiom “a gentleman at large” means :
Pick the correct option to complete the following sentence : “All the students and teachers _______ this book.”
Which of the following options is the correct meaning of the underlined phrase in the following sentence? “Should spending on the arts be met out of the public purse?”
Pick the odd one out from the following options.
Pick the best substitute for the following expression: “One who does not care for literature or art”.
Pick the passive equivalent of the following sentence : “The taxi will drop you at the airport.”
Pick the correct meaning of the phrase “ULTRA VIRES”.
Pick the word with the correct spelling.
Pick the correct antonym of the term “DILATE”.
Choose the option which best replaces the underlined phrase. When Dr. Sapra came to the school in 1995, Dr. Anand had already been teaching there since five years.
Identify the error in the sentence given below having three components marked as (i), (ii), and (iii) : (i) I was disappointed (ii) when I came for seeing you last evening (iii) but could not find you at home.
Instructions [83-86]:
Read the paragraph and answer the questions that follow.
Are people ___ (i) ___ or even typically, guided by reason, rather than, say, by passion or impulse ? If the norms of rational behaviour are not followed by people in their actual behaviour, how can we seek the same answer to two rather different questions : what would be rational for a person to do ? And what would the person actually do ? Shouldn’t the economists who make such double use of maximisation - whether through explicit reasoning ___ (ii) ___ by implicit presumption - be invited to apply their minds to this ?
A number of economists have indeed paid attention to systematic departures from rationality in actual choices made by people. One argument that has been invoked, in a line of reasoning proposed by Herbert Simon, goes by the name of bounded rationality. It concerns the possibility that people may not, in all cases, look for fully ___ (iii) ___ choices because of their inability to be sufficiently focussed. There is considerable evidence, powerfully presented, for example, ___ (iv) ___ Kahneman, Slovic and Tversky, that people may fail to understand adequately the nature of the uncertainty.
Pick the most appropriate word to fill (iii) in the given passage :
Pick the most appropriate word to fill (ii) in the given passage :
Pick the most appropriate word to fill (i) in the given passage
Pick the most appropriate word to fill (iv) in the given passage :
Instructions [87-90]:
Read the paragraph and answer the questions that follow.
Literary criticism does not necessarily have to choose between textual or verbal and contextual study. The distinction between the two types of linguistic meaning is seen at two levels, formal and textual. Formal meaning in poetry is the level at which stylistic patterns occur but these are not restricted to mere form.
Panini discusses, in a few sutras scattered over his works, the influence of the concept of language in various spheres of suffixes, primary and secondary derivatives and compounds. Poetics is also indebted to grammar for the terms ‘Jati’ (genus), ‘Kriya’ (action), ‘Guna’ (quality) and ‘Dravya’ (individual/substance) which it uses in connection with certain poetic figures or while dealing with the expressive function of words.
Literary criticism, in the Sanskrit tradition, has been understood to be a sastra by which is meant any systematic, well-formulated body of knowledge. A ‘sastraic’ exposition is supposed to involve inquiry into the nature of substance, nature of language and the validity of critical statements. Thus, a basic understanding of the grammatical and philosophical issues is a prerequisite for the understanding of critical questions.
Which inquiries are undertaken in ‘Sastraic’ expositions?
- Mainly primary and secondary derivatives of compounds
- Nature of substance.
- Stylistic patterns
- Nature of language
- Validity of critical statements
Choose the most appropriate answer from the options given below :
As per the passage, which of the following was primarily discussed by Panini ?
Which of the following statements are true about the given passage ?
- Literary criticism must use either textual or contextual
study.
- Formal and textual are two levels and help in ascertaining
linguistic meaning.
- Critical questions cannot be understood without a philosophical and
grammatical understanding.
- Panini has written in a compact format of Sutras.
- Sanskrit has a tradition of literary criticism for a long time.
Choose the most appropriate answer from the options given below :
Which word in the passage is close in meaning to ‘being logical and true’ ?
Instructions [91-94]:
Read the paragraph and answer the questions that follow.
All great thinkers live and move on a high plane of thought. It is only there they can breathe freely. It is only in contact with spirits like themselves they can live harmoniously and attain that serenity which comes from ideal companionship. I have always thought that the strongest argument in favour of the Baconian theory was, that no man, however indubitable his genius, could have written the plays and sonnets that have come down to us under Shakespeare’s name who had not the liberal education of Bacon. How this habit of intercourse with the gods makes one impatient of mere men. The magnificent ideals that have ever haunted the human mind, and given us our highest proofs of a future immortality by reason of the impossibility of their fulfillment here, are splintered into atoms by contact with life’s realities. Hence comes our sublime discontent. It may be spiritual or intellectual pride that is engendered on the high plane of intellectual life. But whatever it is, it becomes inevitable. A habitual meditation on the vast problems that underline human life, and are knit into human destinies. It is easy to understand, therefore, why such thinkers fly to the solitude of their own thoughts, or the silent companionship of the immortals; and if they care to present their views in prose or verse to the world, that these views take a sombre and melancholy setting from “the pale cast of thought” in which they were engendered.
According to the author, why do the great thinkers need to attain and remain at high plane of thought?
- Because they want to enjoy harmony and serenity from ideal
companionship.
- Because the experience of greatness makes them impatient of being
ordinary men.
- Because the high plane of intellectual life instills a spiritual and
intellectual pride in them.
- Because they are apathetic to commoners and solely eager to attain lofty ideals. Choose most appropriate answer from the options given below :
What does the phrase “THE PALE CAST OF THOUGHT”mean?
Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The passage presents a rationale behind the great writers’ flight to the solitude of their thoughts and silent companionship of immortals. Reason (R) : They do so because they are melancholic and naturally averse to ordinary humanity and disgust of unregenerated masses.
Given below are two statements :
Statement I: The author upholds the Baconian theory because, according to him, despite being a genius, Shakespeare could not write the plays and sonnets that have come down to us under his name.
Statement II : He holds that Bacon was more resourceful than Shakespeare because he had the liberal education.
Match List I with II Choose the correct answer from the options given below :
Out of the options given below, select the most logical order of the sentences to form a coherent paragraph.
For that we need people who possess not only high skills but high values as well.
So the need of the hour is not only skill-based education but also value-inspired and value-based education.
When we talk of investing in education, a question arises as to what kind of education needs to be given to the youngsters.
Our aim is to evolve not only an affluent society, but an egalitarian, just, humane and compassionate society. Choose the correct answer from the options given below :
Match List I with II Choose the correct answer from the options given below :
In the following question, a sentence is divided into four parts ( A,B,C and D ). Rearrange it in the proper sequence in order to make a meaningful sentence.
- that is closely related to the peach tree
- almonds are commonly called nuts
- but they are actually seeds
- and they come from a tree Choose the correct answer from the options given below :
Match List I with II Choose the correct answer from the options given below :
Pick the part of the sentence with grammatical mistakes/errors.
- The economist were of the opinion
- that the government should give longer times to farmers
- to pay the loan instead of waiving the entire farm loan
- as doing so is not good for credit culture