2 Mock JIPMAT
Quantitative Ability
The greatest four-digit number that is exactly divisible by 12, 15, 18 and 24 is:
The remainder when \(5^{99}\) is divided by 13 is:
The unit’s digit of \(3^{2024} + 7^{2024}\) is:
A shopkeeper first increases the price of an article by 20% and then by another 25%. The overall percentage increase in price is:
The population of a town first rises by 10% in one year and then falls by 10% in the next. If the population at the end of these two years is 19,800, the population at the start was:
A trader marks his goods 50% above cost and then allows two successive discounts of 20% and 10%. His net result on a sale is:
By selling 12 articles for ₹100, a man loses 4%. To gain 8%, he should sell 12 articles for:
The compound interest on ₹8,000 at 10% per annum for 1.5 years, compounded half-yearly, is:
The difference between compound interest and simple interest on a certain sum for 3 years at 5% per annum is ₹76.25. The sum is:
A sum of money is divided among A, B and C such that \(A:B = 2:3\) and \(B:C = 4:5\). If C’s share exceeds A’s by ₹700, then B’s share is:
A 90-litre mixture contains milk and water in the ratio 7 : 2. How much water must be added so that the new ratio becomes 7 : 3?
The mean of 50 observations is 32. If two observations 38 and 42 are wrongly recorded as 28 and 22 respectively, the correct mean is:
The average age of 12 students in a class is 14 years. When the teacher’s age is included, the average becomes 15 years. The teacher’s age is:
A 60-litre mixture contains milk and water in the ratio 5 : 1. How much water should be added so that the ratio becomes 5 : 2?
A train 240 m long crosses a platform 360 m long in 30 seconds. The speed of the train (in km/h) is:
A boat covers 60 km downstream in 3 hours and the same distance upstream in 5 hours. The speed of the stream (in km/h) is:
In a 200 m race, A beats B by 20 m and B beats C by 10 m. By how many metres does A beat C in the same race?
A and B together can complete a piece of work in 12 days. A alone can complete it in 20 days. B alone will complete it in:
Two pipes A and B can fill a tank in 15 and 20 minutes respectively. Both are opened together, but A is closed after 5 minutes. The total time taken to fill the tank is:
The number of ways in which 5 different books can be arranged on a shelf such that two particular books are always together is:
A committee of 6 is to be chosen from 5 men and 7 women so that the committee contains exactly 4 women. The number of ways is:
A card is drawn at random from a standard 52-card deck. The probability that it is a face card or a heart is:
A fair coin is tossed four times. The probability of getting exactly three heads is:
In a class of 80 students, 40 play cricket, 30 play football and 10 play both. The number of students who play neither game is:
If \(2x + 3y = 12\) and \(3x + 2y = 13\), then \(x + y\) equals:
The sum of the present ages of a father and his son is 50 years. Five years ago, the father was seven times as old as his son. The son’s present age (in years) is:
The sum of the roots of the equation \(x^{2} - 9x + 18 = 0\) is:
The value of \(k\) for which the roots of the equation \(x^{2} - 6x + k = 0\) are real and equal is:
In a right-angled triangle, the legs are 9 cm and 12 cm long. The radius of its inscribed circle is:
The length of a chord whose perpendicular distance from the centre of a circle of radius 13 cm is 5 cm:
A sphere of radius 6 cm is melted and recast into a right circular cylinder of radius 4 cm. The height of the cylinder is:
The volume of a right circular cone of slant height 13 cm and base radius 5 cm is:
The perimeter of a rectangle is 50 cm and its area is 150 cm². The length of its longer side is:
Data Interpretation & Logical Reasoning
Instructions [34-37]:
The bar chart below shows the annual sales (in ₹ lakh) of five brands — P, Q, R, S and T — for the years 2023 and 2024. Use the chart to answer the questions that follow.
The total sales of all five brands in 2024 (in ₹ lakh) is:
Which brand recorded the highest percentage growth in sales from 2023 to 2024?
The average sales of all five brands in 2023 (in ₹ lakh) is:
The difference between the largest and the smallest 2024 sales (in ₹ lakh) is:
Instructions [38-41]:
The pie chart below shows how a household with a monthly budget of ₹40,000 distributes its spending across six heads. Use the chart to answer the questions that follow.
The monthly spending on Rent is:
The central angle (in degrees) corresponding to Food on the pie chart is:
The combined monthly spending on Education and Savings is:
If next month spending on Food rises by 20% while every other head remains unchanged in rupee terms, the new total monthly budget will be:
A is the brother of B. B is the son of C. D is the mother of C. How is A related to D?
Pointing to a girl in a photograph, Manish said, “She is the daughter of the only sister of my father.” How is the girl related to Manish?
Starting from a point P, Ravi walks 15 m east, then 20 m south, then 15 m west, and finally 5 m north. His straight-line distance from P is:
The total number of triangles in the following figure is:
Statements: All artists are dreamers. Some dreamers
are realists.
Conclusions:
I. Some artists are
realists.
II. Some realists are dreamers.
Which of the conclusions follow?
Statements: No politician is honest. All ministers
are politicians.
Conclusions:
I. No minister is
honest.
II. Some honest people are politicians.
Which of the conclusions follow?
Statements: Some pens are pencils. Some pencils are
erasers.
Conclusions:
I. Some pens are
erasers.
II. Some erasers are pens.
Which of the conclusions follow?
In a certain code, FRIEND is written as HUMJTK. In the same code, CANDLE will be written as:
In a certain code, ‘mat re bie’ means ‘sea is deep’, ‘no bie pat’ means ‘sky is blue’, and ‘mat rik tip’ means ‘sea has fish’. Which word stands for ‘is’?
In a coding language, COLD is written as 3-15-12-4. In the same code, WARM is written as:
The total number of squares (of all sizes) in the following figure is:
Find the next term: \(2,\ 6,\ 12,\ 20,\ 30,\ 42,\ ?\)
Find the next term in the letter series: \(A,\ D,\ I,\ P,\ ?\)
The mirror image of the figure given below is:
Five friends — A, B, C, D and E — are sitting in a row facing north. B is to the immediate right of A. C is to the immediate left of E. D is at one end. A is not at any end. E sits at one of the two extreme ends. The person sitting third from the left is:
The water image of the figure given below is:
At what time between 4 o’clock and 5 o’clock will the hands of a clock point in exactly opposite directions (180° apart)?
If 1 January 2024 was a Monday, what day of the week was 1 January 2025?
The angle between the hour hand and the minute hand of a clock at 4 : 20 is:
Question: Is \(x >
y\)?
Statement I: \(2x + 3y = 25\).
Statement
II: \(x - y = 1\).
Question: What is the value of the two-digit number
\(n\)?
Statement
I: The sum of its digits is 9.
Statement
II: The difference of its digits is 3.
Choose the pair that has a relationship similar to Doctor : Stethoscope.
Find the number that fits the analogy: \(4 : 18 :: 6 : ?\)
Find the odd one out: \(4,\ 9,\ 16,\ 24,\ 36\)
One term in the series below is incorrect. Identify it: \(5,\ 11,\ 23,\ 47,\ 96,\ 191\)
Verbal Ability & Reading Comprehension
Choose the word that is most nearly the synonym of: REPRIMAND
Choose the word that is most nearly the synonym of: IMMACULATE
Choose the word that is most nearly the synonym of: VINDICATE
Choose the word that is most nearly the synonym of: UBIQUITOUS
Choose the word that is most nearly the antonym of: FRUGAL
Choose the word that is most nearly the antonym of: ZEALOUS
Choose the word that is most nearly the antonym of: DILIGENT
Choose the word that is most nearly the antonym of: LUCID
Identify the part of the sentence that contains a grammatical error:
- The number of students / (B) appearing for the exam / (C) have increased / (D) significantly this year.
Identify the part of the sentence that contains a grammatical error:
- Either of the two roads / (B) lead to the station / (C) which is about a mile / (D) from here.
Identify the part of the sentence that contains a grammatical error:
- Hardly had he reached the airport / (B) than the flight was announced / (C) and all passengers / (D) started boarding.
Identify the part of the sentence that contains a grammatical error:
- The criteria for selection / (B) has been finalised / (C) after a long debate / (D) among the panellists.
Fill in the blank with the most appropriate option:
He has been working on this project _________ five years.
Fill in the blank with the most appropriate option:
The _________ of the new policy will benefit thousands of small farmers.
Choose the one-word substitute for: A speech delivered without any prior preparation.
Choose the one-word substitute for: A person who hates marriage.
Choose the one-word substitute for: A form of government run by religious leaders.
Fill in the blanks with the most appropriate pair of prepositions:
The teacher complained _________ the principal _________ the student’s behaviour.
Choose the meaning of the idiom: “to turn a blind eye”
Choose the meaning of the idiom: “to cost an arm and a leg”
Rearrange the following sentences into a logical order:
P. India’s renewable energy capacity has grown sharply over the last
decade.
Q. To meet its 2030 targets, however, even faster growth
will be needed.
R. The change is driven mainly by sharp falls in
solar-panel prices.
S. Wind power, too, now contributes meaningfully
to the energy mix.
Rearrange the following sentences into a logical order:
P. The result was a long line of innovations that defined modern
computing.
Q. Researchers at Bell Labs in the 1940s set out to
replace bulky vacuum tubes.
R. After years of experimentation, the
transistor was born in 1947.
S. The new device was smaller, more
reliable, and far cheaper to make.
Rearrange the following sentences into a logical order:
P. Yet many of his ideas continue to shape physics today.
Q.
Albert Einstein’s working life spanned only about half a century.
R.
The general theory of relativity, published in 1915, remains his most
celebrated achievement.
S. He was, by his own admission, a slow
thinker with an obstinate streak.
Instructions [90-95]:
Read the following passage carefully and answer the questions that follow.
Coral reefs occupy less than one per cent of the ocean floor, yet they shelter perhaps a quarter of all marine species. Built layer by layer over thousands of years by tiny colonial animals called polyps, they form the most complex underwater structures on Earth. Reefs grow only in shallow, warm, well-lit water, which is why most of them lie in a narrow band on either side of the equator. Each polyp builds a tiny limestone cup around itself, and as generations of polyps grow and die, those cups fuse into the vast architecture we see. The colours of a reef come not from the corals themselves but from microscopic algae called zooxanthellae that live inside the polyps. When ocean water gets too warm, the corals expel these algae and turn ghostly white — an event known as bleaching. If warm conditions persist for many weeks, the corals starve and die. The wider economic toll is striking: fisheries, coastal protection, and tourism that depend on reefs are worth more than thirty billion dollars a year, and roughly half a billion people draw food or income directly from reef ecosystems.
Coral reefs are best described by the passage as:
According to the passage, the colours of a reef come from:
The passage suggests that ‘bleaching’ happens because:
According to the passage, the economic value of reefs is most directly tied to:
The phrase “ghostly white” most nearly suggests that bleached corals:
Which of the following best captures the central idea of the passage?
Instructions [96-100]:
Read the following passage carefully and answer the questions that follow.
Trade routes once stitched the ancient world together. Long before container ships and air freight, caravans and sailing vessels carried silk from China, spices from the Malabar coast, frankincense from southern Arabia, and silver from the New World across thousands of kilometres of land and sea. These networks did more than move goods. Religions travelled with the merchants — Buddhism spread along the Silk Road, and Islam followed Indian Ocean trade winds. New crops crossed continents, often arriving in ports long before they entered local cuisines: the chilli, native to the Americas, reached India only in the sixteenth century yet quickly became inseparable from its cooking. Coins and credit instruments developed to ease cross-border exchange, and disease moved alongside cargo — the Black Death of the fourteenth century is now believed to have travelled west from Central Asia along the same routes that brought silk and porcelain. Trade routes, in other words, were the unromantic plumbing of cultural exchange: not merely conduits for luxury goods but for ideas, microbes, and ways of life.
According to the passage, ancient trade routes carried which of the following besides goods?
According to the passage, the chilli arrived in India:
The Black Death, according to the passage, is now believed to have:
The phrase “unromantic plumbing of cultural exchange” suggests that the routes were:
The central idea of the passage is that ancient trade routes were: