CAT Previous Year Questions (PYQs)

If $a-6 b+6 c=4$ and $6 a+3 b-3 c=50$, where $a, b$ and $c$ are real numbers, the value of $2 a+3 b-3 c$ is

Arun, Varun and Tarun, if working alone, can complete a task in 24, 21, and 15 days, respectively. They charge Rs 2160, Rs 2400, and Rs 2160 per day, respectively, even if they are employed for a partial day. On any given day, any of the workers may or may not be employed to work. If the task needs to be completed in 10 days or less, then the minimum possible amount, in rupees, required to be paid for the entire task is

In a circle with center $C$ and radius $6 \sqrt{2} \mathrm{~cm}, P Q$ and $S R$ are two parallel chords separated by one of the diameters. If $\angle P Q C=45^{\circ}$, and the ratio of the perpendicular distance of $P Q$ and $S R$ from $C$ is $3: 2$, then the area, in sq. cm , of the quadrilateral $P Q R S$ is

For any natural number $k$, let $a_k = 3^k$. The smallest natural number $m$ for which

$\left(a_1\right)^1 \times \left(a_2\right)^2 \times \cdots \times \left(a_{20}\right)^{20} < a_{21} \times a_{22} \times \cdots \times a_{(20+m)}$

is

The four sentences (labelled 1, 2, 3, and 4) given below, when properly sequenced, would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer.

1. It can in fact be integrated into any function (education, medical treatment, production, punishment); it can increase the effect of this function, by being linked closely with it; it can constitute a mixed mechanism in which relations of power (and of knowledge) may be precisely adjusted, in the smallest detail, to the processes that are to be supervised; it can establish a direct proportion between 'surplus power' and 'surplus production'.
2. It's a case of 'it's easy once you've thought of it' in the political sphere.
3. The panoptic mechanism is not simply a hinge, a point of exchange between a mechanism of power and a function; it is a way of making power relations function in a function, and of making a function function through these power relations.
4. In short, it arranges things in such a way that the exercise of power is not added on from the outside, like a rigid, heavy constraint, to the functions it invests, but is so subtly present in them as to increase their efficiency by itself increasing its own points of contact.

At a certain simple rate of interest, a given sum amounts to Rs 13920 in 3 years, and to Rs 18960 in 6 years and 6 months. If the same given sum had been invested for 2 years at the same rate as before but with interest compounded every 6 months, then the total interest earned, in rupees, would have been nearest to?

Stocks A, B and C are priced at rupees 120, 90 and 150 per share, respectively. A trader holds a portfolio consisting of 10 shares of stock A, and 20 shares of stocks B and C put together. If the total value of her portfolio is rupees 3300, then the number of shares of stock B that she holds, is

Shruti travels a distance of 224 km in four parts for a total travel time of 3 hours. Her speeds in these four parts follow an arithmetic progression, and the corresponding time taken to cover these four parts follow another arithmetic progression. If she travels at a speed of 960 meters per minute for 30 minutes to cover the first part, then the distance, in meters, she travels in the fourth part is

The number of non-negative integer values of $k$ for which the quadratic equation $x^2 - 5x + k = 0$ has only integer roots is

Five jumbled sentences (labelled 1, 2, 3, 4, and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence out and key in the number of that sentence as your answer.

1. Developments both technological and sociocultural have afforded us far greater freedom over death than we had in the past, and while we are still adapting ourselves to that freedom, we now appreciate the moral importance of this freedom.
2. But I believe that a type of freedom we can call freedom over death – that is, a freedom in which we shape the timing and circumstances of how we die – should be central to this conversation.
3. Legalising assisted dying is but a further step in realising this freedom over death.
4. Many people endorse, through their opinions or their choices, our freedom over death encompassing a right to medical assistance in hastening our deaths.
5. Freedom is a notoriously complex and contested philosophical notion, and I won't pretend to settle any of the big controversies it raises.

A shopkeeper offers a discount of 22% on the marked price of each chair, and gives 13 chairs to a customer for the discounted price of 12 chairs to earn a profit of 26% on the transaction. If the cost price of each chair is Rs 100, then the marked price, in rupees, of each chair is

A cafeteria offers 5 types of sandwiches. Moreover, for each type of sandwich, a customer can choose one of 4 breads and opt for either small or large sized sandwich. Optionally, the customer may also add up to 2 out of 6 available sauces. The number of different ways in which an order can be placed for a sandwich, is

The four sentences (labelled 1, 2, 3, and 4) given below, when properly sequenced, would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer.

1. But man, woman or otherwise, there is no denying that the quality of our life and character will be significantly shaped by the way we handle our anger.
2. Once the taboos have been broken, women usually experience letting their fists fly as intensely liberating.
3. Though this might seem a stereotype, women—unlike men, who are frequently applauded for unbridled aggression—are often socialized to keep a lid on their ire.
4. Many of them are so at odds with their aggressive feelings that, as a coach, I often have to stop them from pulling their punches and encourage them to extend their arms so their blows might actually reach their fleshy target.

In a 3-digit number N, the digits are non-zero and distinct such that none of the digits is a perfect square, and only one of the digits is a prime number. Then, the number of factors of the minimum possible value of N is

A value of $c$ for which the minimum value of $f(x) = x^2 - 4cx + 8c$ is greater than the maximum value of $g(x) = -x^2 + 3cx - 2c$, is

A container holds 200 litres of a solution of acid and water, having 30% acid by volume. Atul replaces 20% of this solution with water, then replaces 10% of the resulting solution with acid, and finally replaces 15% of the solution thus obtained, with water. The percentage of acid by volume in the final solution obtained after these three replacements is nearest to:

In a class, there were more than 10 boys and a certain number of girls. After 40% of the girls and 60% of the boys left the class, the remaining number of girls was 8 more than the remaining number of boys. Then, the minimum possible number of students initially in the class was

Kamala divided her investment of Rs 100000 between stocks, bonds, and gold. Her investment in bonds was 25% of her investment in gold. With annual returns of 10%, 6%, 8% on stocks, bonds, and gold, respectively, she gained a total amount of Rs 8200 in one year. The amount, in rupees, that she gained from the bonds, was

Let $3 \leq x \leq 6$ and $\lfloor x^2 \rfloor = \lfloor x \rfloor^2$, where $\lfloor x \rfloor$ is the greatest integer not exceeding $x$. If set $S$ represents all feasible values of $x$, then a possible subset of $S$ is:

The ratio of the number of students in the morning shift and afternoon shift of a school was 13 : 9. After 21 students moved from the morning shift to the afternoon shift, this ratio became 19 : 14. Next, some new students joined the morning and afternoon shifts in the ratio 3 : 8 and then the ratio of the number of students in the morning shift and the afternoon shift became 5 : 4. The number of new students who joined is

If the length of a side of a rhombus is 36 cm and the area of the rhombus is 396 sq. cm, then the absolute value of the difference between the lengths, in cm, of the diagonals of the rhombus is

The given sentence is missing in the paragraph below. Decide where it best fits among the options 1, 2, 3, or 4 indicated in the paragraph.

Sentence: "Everything is old-world, traditional techniques from Mexico," Ava emphasizes.

Paragraph: The sisters embrace the ways their great-grandfather built and repaired instruments. ____(1) ____. When crafting a Mexican guitarrón used in mariachi music, they use tacote wood for the top of the instrument. Once the wood is cut, they carve the neck and heel from a single block using tools like hand saws, chisels and sandpaper rather than modern power tools — and believe that this traditional method improves the tone of the instrument. ____(2) ____. Their store has a three-year waitlist for instruments that take months to create. ____(3) ____. The family's artisanship has attracted stars like Los Lobos, who own custom guitars made by all three generations of the Delgado family. ____(4) ____. For the sisters, involvement in the family business started at an early age. They each built their first instruments at age 9.

The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage.

Zombie cells may contribute to age-related chronic inflammation: this finding could help scientists understand more about the aging process and why the immune system becomes less effective as we get older. Zombie or "senescent" cells are damaged cells that can no longer divide and grow like normal cells. Scientists think that these cells can contribute to chronic health problems when they accumulate in the body. In younger people, the immune system is more effective at clearing senescent cells from the body through a process called apoptosis, but as we age this process becomes less efficient. As a result, there is an accumulation of senescent cells in different organs in the body, either through increased production or reduced clearance by the immune system. The zombie cells continue to use energy though they do not divide, and often secrete chemicals that cause inflammation, which if persistent for longer periods of time can damage healthy cells leading to chronic diseases.

The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage.

In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. The globalized nature of the modern world invites artists to draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred. Cultural appropriation occurs when elements from a particular culture are borrowed without proper understanding, respect, or acknowledgment. This leads to the commodification of sacred symbols, the reinforcement of stereotypes, and the erasure of the cultural context from which these elements originated. It's essential to recognize that the impact of cultural appropriation extends beyond the realm of artistic expression, influencing societal perceptions and perpetuating power imbalances.

Five jumbled sentences (labelled 1, 2, 3, 4, and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence out and key in the number of that sentence as your answer.

1. The Bayeux tapestry was, therefore, an obvious way to tell people about the downfall of the English and the rise of the Normans.
2. So if we take expert in Anglo-Saxon culture Gale Owen-Crocker's idea that the tapestry was originally hung in a square with certain scenes facing each other, people would have stood in the centre.
3. Art historian Linda Neagley has argued that pre-Renaissance people interacted with art visually, kinaesthetically (sensory perception through bodily movement) and physically.
4. That would make it an 11th-century immersive space with scenes corresponding and echoing each other, drawing the viewer's attention, playing on their senses and understanding of the story they thought they knew.
5. The Bayeux tapestry would have been hung at eye level to enable this.

In the set of consecutive odd numbers $\{1, 3, 5, \ldots, 57\}$, there is a number $k$ such that the sum of all elements less than $k$ is equal to the sum of all elements greater than $k$. Then, $k$ equals

The given sentence is missing in the paragraph below. Decide where it best fits among the options 1, 2, 3, or 4 indicated in the paragraph.

Sentence: Historically, silver has been, and still is, an important element in the business of 'show' visible in private houses, churches, government and diplomacy.

Paragraph: ____(1) ____. Timothy Schroder put it succinctly in suggesting that electric light and eating in the kitchen eroded this need. As he explained to the author, 'Silver, when illuminated by flickering candlelight, comes alive and almost dances before the eyes, but when lit by electric light it becomes flat and dead.' ____(2) ____. Domestic and economic changes may have worked against the market, but the London silver trade remained buoyant, thanks to the competition of collectors seeking grand display silver at the top end, and the buyers of 'collectables', like spoons and wine labels and 'novelties', at the bottom. ____(3) ____. Another factor that came into play was the systematic collection building of certain American museums over the period. Boston, Huntington Art Gallery and Williamsburg, among others, were largely supplied by London dealers. ____(4) ____.

The $(x, y)$ coordinates of vertices $\mathrm{P}, \mathrm{Q}$ and R of a parallelogram PQRS are $(-3,-2),(1,-5)$ and $(9,1)$, respectively. If the diagonal SQ intersects the $x$-axis at $(a, 0)$, then the value of $a$ is

The number of distinct integers $n$ for which $\log_{\left(\frac{1}{4}\right)}\left(n^2 - 7n + 11\right) > 0$ is

Which of the following pairs of banks and their headquarters are correctly matched?

A. Canara Bank: Mumbai B. Federal Bank: Kochi C. IndusInd Bank: Mumbai D. Punjab and Sind Bank: Chandigarh E. Punjab National Bank: New Delhi

Choose the correct answer from the options given below:

The value of (x^a/x^b)^(a²+ab+b²) × (x^b/x^c)^(b²+bc+c²) × (x^c/x^a)^(c²+ca+a²) is:

The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage.

In 1903, left-wing feminist Elizabeth Magie invented The Landlord's Game, the original version of what became Monopoly. It was designed as a powerful teaching tool to illustrate the dangers of monopolies and how wealth could concentrate in the hands of a few. The game featured a circular path, properties, and a "Go to Jail" space. Magie created two rule sets: one "monopolist" version where players crushed opponents through accumulation, and another, more radical "Prosperity" version, where everyone shared in the wealth, promoting fairness and equity. Years later, unemployed Charles Darrow sold a simplified version to Parker Brothers. They paid Magie only 500 dollars for her patent—without royalties—and credited Darrow as the sole inventor. For decades, his tale of inventing the game in his basement remained the official story, while Magie's name and her original, anti-capitalist message were left in the shadows.

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):

Assertion (A): Seeds should be treated with fungicide solution before being sown. Reason (R): Seeds do not germinate, unless treated with fungicide solution.

In the light of the above statements, choose the correct answer from the options given below:

Candidates in a competitive examination consisted of 60% men and 40% women. 70% men and 75% women cleared the qualifying test and entered the final test, where 80% men and 70% women were successful. Which of the following statements is/are correct?

A. Success rate is higher for women. B. More men cleared the examination than women. C. Success rate is higher for men. D. Overall success rate is below 50%

Choose the correct answer from the options given below:

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):

Assertion (A): Business accelerators are set up with the primary objective to offer mentorship and resources to speed up the growth of startups. Reason (R): Most startups face difficulties and challenges in their growth stage.

In the light of the above statements, choose the most appropriate answer from the options given below:

Which of the following statements are correct?

A. Vishwa Bharati is founded by Rabindra Nath Tagore B. Auroville Ashram is founded by Aurobindo Ghosh C. Golden Temple is founded by Guru Gobind Singh D. Khalsa Panth is founded by Guru Arjan Dev

Choose the correct answer from the options given below:

Five jumbled sentences (labelled 1, 2, 3, 4, and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence out and key in the number of that sentence as your answer.

1. Pfas are a class of about 15,000 compounds most frequently used to make products water-, stain- and grease-resistant.
2. New research suggests exposure to some common perfluoroalkyl and polyfluoroalkyl substances (Pfas) cause changes to gene activity and that these changes are linked to health problems including multiple cancers, neurological disorders and autoimmune disease.
3. These Pfas compounds are dubbed "forever chemicals" because they do not naturally break down in the environment.
4. The research may also point toward other diseases potentially caused by Pfas that have not yet been identified.
5. The findings are a major step toward determining the mechanism by which the chemicals cause disease and could help doctors identify, detect and treat health problems for those exposed to Pfas before the issues advance.

Match List I with List II:

Choose the correct answer from the options given below:

Match List I with List II:

Choose the correct answer from the options given below:

Read the following statements and respond to the question that follows:

A. The primary goal of a startup pitch is to secure funding or support from investors. B. 'Innovation' and 'adaptability' best describe an entrepreneurial mindset. C. A non-profit organisation is one of the examples of a startup. D. NITI Aayog was earlier known as the Planning Commission. E. Dr. Manmohan Singh was the Governor of RBI and he died recently.

Choose the correct answer from the options given below:

If the triangle represents doctors, the circle represents teachers, and the rectangle represents film-makers in the following diagram, then which numbers represent teachers who are neither doctors nor film-makers?

(A circle overlaps a rightward-pointing triangle and a large rectangle. Regions: 5 = circle only (top, above the rectangle's edge and left of the triangle) = teachers only; 2 = circle only (below 5, still above the rectangle's top edge, left of the triangle) = teachers only; 7 = circle ∩ triangle only = teachers+doctors; 8 = triangle only = doctors only; 3 = circle ∩ rectangle only (below the rectangle's top edge) = teachers+film-makers; 4 = triangle ∩ rectangle only = doctors+film-makers; 9 = rectangle only = film-makers only.)

A dice is thrown three times and its three different positions are given below. The number on the face opposite the face showing 3 is:

(Three dice shown side by side. Dice 1: top=2, front-left=1, front-right=3. Dice 2: top=3, front-left=1, front-right=5. Dice 3: top=4, front-left=2, front-right=3.)

If $\log_{64} x^2 + \log_8 \sqrt{y} + 3\log_{512}(\sqrt{y}z) = 4$, where $x, y$ and $z$ are positive real numbers, then the minimum possible value of $(x+y+z)$ is

Which of the following statements are correct?

A. Finance Commission is a constitutional body, constituted by the President under Article 280 of the constitution. B. First Finance Commission was constituted under the chairmanship of K.C. Niyogi. C. The 15th Finance Commission for the period 2020-25 was constituted with N.K. Singh as chairman. D. The R. Chelliah Committee was constituted in 1994 for suggesting reforms in the banking system.

Choose the correct answer from the options given below:

Arrange the following in descending order:

A: √401 − √399 B: √301 − √299 C: √101 − √99 D: √201 − √199

Choose the correct answer from the options given below:

Given below are two statements:

Statement I: Innovation, defined as the creation or adoption of new ideas, products, services, programs, technology, policy, structure or new administrative systems, is acknowledged as a source of sustained competitive advantage of many organisations. Statement II: The innovation adoption process does not depend upon the 'Initiation stage', which includes recognition of a need, knowledge acquisition, initial attitude formation and innovation selection.

In the light of the above statements, choose the correct answer from the options given below:

The given sentence is missing in the paragraph below. Decide where it best fits among the options 1, 2, 3, or 4 indicated in the paragraph.

Sentence: While taste is related to judgment, with thinkers at the time often writing, for example, about "judgments of taste" or using the two terms interchangeably, taste retains a vital link to pleasure, embodiment, and personal specificity that is too often elided in post-Kantian ideas about judgment—a link that Arendt herself was working to restore.

Paragraph: ____(1) ____. Denneny focused on taste rather than judgment in order to highlight what he believed was a crucial but neglected historical change. ____(2) ____. Over the course of the seventeenth century and early eighteenth century, across Western Europe, the word taste took on a new extension of meaning, no longer referring specifically to gustatory sensation and the delights of the palate but becoming, for a time, one of the central categories for aesthetic—and ethical—thinking. ____(3) ____. Tracing the history of taste in Spanish, French, and British aesthetic theory, as Denneny did, also provides a means to recover the compelling and relevant writing of a set of thinkers who have been largely neglected by professional philosophy. ____(4) ____.

Arrange the following in the correct order.

A. The founder of this tradition was a thirteenth-century poet, Jayadeva, who wrote in Sanskrit. B. Later poets like Vidyapati in Maithili, Narsi in Gujarati, and Chandidas in Bengali, followed Jayadeva's Gita Govinda as the model for their songs. C. At present, a huge repository of song poems dedicated to Sri Krishna in the same tradition is available to contemporary Krishna devotees. D. Mirabai inherited a long, rich tradition of song-poems dedicated to Sri Krishna.

Choose the correct answer from the options given below:

In how many ways can the following prizes be given away to a class of 30 students: first and second in Mathematics, first and second in Physics, first in Chemistry and first in English?

In a $\triangle A B C$, points D and E are on the sides BC and AC , respectively. BE and AD intersect at point T such that $\mathrm { AD } : A T = 4 : 3$, and $\mathrm { BE } : \mathrm { BT } = 5 : 4$. Point F lies on AC such that DF is parallel to BE . Then, $\mathrm { BD } : \mathrm { CD }$ is

Which one of the following is not a correct statement?

(a) Dr. Manmohan Singh was the finance minister in the Union Government from 1991 to 1996 and initiated economic reforms. (b) Dr. Manmohan Singh was the Governor of the Reserve Bank of India from 1982 to 1985. (c) Dr. Manmohan Singh was the UGC Chairman in the early nineties. (d) Dr. Manmohan Singh was elected to the Lok Sabha and became the Prime Minister as a member of the lower house.

The ratio of expenditures of Lakshmi and Meenakshi is 2 : 3, and the ratio of income of Lakshmi to expenditure of Meenakshi is 6 : 7. If excess of income over expenditure is saved by Lakshmi and Meenakshi, and the ratio of their savings is 4 : 9, then the ratio of their incomes is

Ravi took a loan from HDBC Bank for his 2-year MBA program at IIM. He took a loan of ₹6 lakh such that he would be charged at 8% per annum compound interest during his program and at 10% per annum compound interest after completion of the course. He returned half of the amount he had to pay on completion of his program, and the remaining after 2 years. What is the total amount returned by Ravi?

Match List I with List II:

Choose the correct answer from the options given below:

Let ABCDEF be a regular hexagon and P and Q be the midpoints of AB and CD, respectively. Then, the ratio of the areas of trapezium PBCQ and hexagon ABCDEF is

'Pulitzer Prize' is awarded in the field of:

A clock is set right at 11 am. The clock gains 12 minutes in a day. What will be the true time when the watch indicates 5 pm on the next day?

Three vessels P, Q and R of the same capacity are all full. Vessels P and Q contain a mixture of milk and water in the ratios 4:1 and 7:3 respectively, while vessel R contains only pure milk. The contents of these vessels are poured into a larger vessel S. After drawing 30 litres of mixture from vessel S, the final quantity of water left in vessel S is 40 litres. Then the capacity of each vessel is:

The four sentences (labelled 1, 2, 3, and 4) given below, when properly sequenced, would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer.

1. As books age, the cellulose and lignin in the paper begin to break down, releasing a mix of volatile organic compounds into the air.
2. Old books carry a scent that many people instantly recognize—and even love.
3. These compounds are benzaldehyde, which gives off an almond-like scent, vanillin, which smells like vanilla, ethyl hexanol (floral scent), toluene (sweet), and furfural (which has a slightly bready scent).
4. This familiar aroma isn't just dust or mildew; it's actually a result of slow chemical changes happening inside the paper and ink.

Match List I with List II:

Choose the correct answer from the options given below:

Five jumbled sentences (labelled 1, 2, 3, 4, and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence out and key in the number of that sentence as your answer.

1. Sporting a copper-coloured pixie cut and a pair of pink feather antlers, Torres himself resembles a child's doodle.
2. His casual millennial delivery, peppered with "um"s and "ah"s, makes surreal concepts sound like items on a brunch menu.
3. Though he may have failed so far in his colour-scouting mission (he hasn't yet found a new one, he admits), this hour leaves you tickled pink.
4. Like his previous show, My Favourite Shapes, this is an hour of sit-down comedy aided by an overhead camera which relays Torres's theories – illustrated with crayon squiggles – on to a screen behind him.
5. His inquisitive mind produces interconnected ideas about Catholicism, the blandness of Pixar and what orange sounds like, while his insights train us to spot "highly purple behaviour".

A loan of Rs 1000 is fully repaid by two installments of Rs 530 and Rs 594, paid at the end of first and second year, respectively. If the interest is compounded annually, then the rate of interest, in percentage, is

Amit can do 50% more work than Bhushan in the same time. Bhushan alone can do a piece of work in 30 hours. Bhushan starts working and had already worked for 12 hours when Amit joins him. How many hours should Bhushan and Amit work together to complete the remaining work?

Given below are two statements:

Statement I: A business incubator typically takes an equity stake in the startups it supports. Statement II: A business incubator provides early-stage companies with office space, mentorship, and resources in general to support them.

In the light of the above statements, choose the correct answer from the options given below:

Given below are two statements:

Statement I: Incremental innovation is concerned with the gradual improvement of existing products, services, processes, competitive positions, and organisational paradigms. Statement II: Radical innovation involves a much higher risk than incremental innovation.

In the light of the above statements, choose the most appropriate answer from the options given below:

The Earth is getting warmer and the oceans are rising. Why is it happening so? One answer is that it could simply be a part of a natural process. After all, there have been ice ages and long periods of warmth in the past. However, now scientists believe that human activity is the cause. For more than 200 years human activities have changed drastically. (i) _______ (for example, industrial pollution) which have contributed to creating a layer in the atmosphere around the Earth like a giant glass container, affecting the temperatures. Unwariness (ii) _______ of humans may lead to a big global catastrophe in the future, harmful not only to the existence of humanity but to other living and non-living beings too.

Which of the following options is closer to the meaning of the underlined word (ii)?

In a certain code language, POETRY is written as QONDSQX. How is MORE written in that code language?

Read the following sentences and choose the ones belonging to the domain of complex sentences.

A. That Shankar is clever is certain. B. I do not know whether the principal is in the office. C. Rennie is not only kind but also devoted. D. Can you tell me the reason why Mukti never smiles?

Choose the correct answer from the options given below:

Let $f(x) = \dfrac{x}{(2x-1)}$ and $g(x) = \dfrac{x}{(x-1)}$. Then, the domain of the function $h(x) = f(g(x)) + g(f(x))$ is all real numbers except

Given below are two statements:

Statement I: The ratio of the circumference of two circles is 3:4, then the ratio of their areas is 9:16. Statement II: If the circumference and the area of a circle are numerically equal, then the diameter is equal to 4.

In the light of the above statements, choose the correct answer from the options given below.

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):

Assertion (A): The following sentence is an example of a simple sentence: "Without saying a word, Ashraf ran away from home, in great haste." Reason (R): A simple sentence is a sentence which contains a main clause and one or more subordinate clauses, dependent on the main clause.

In the light of the above statements, choose the correct answer from the options given below:

How many such pairs of digits are there in the number 8314629, each of which has as many digits between them in the number as after arranging the digits in descending order?

Which of the following is the primary purpose of a 'pitch deck'?

A consignment of 15 wrist watches contains 4 defectives. The wrist watches are selected at random, one by one, and examined. The ones examined are not replaced back. What is the probability that the ninth one examined is the last defective?

The Earth is getting warmer and the oceans are rising. Why is it happening so? One answer is that it could simply be a part of a natural process. After all, there have been ice ages and long periods of warmth in the past. However, now scientists believe that human activity is the cause. For more than 200 years human activities have changed drastically. (i) _______ (for example, industrial pollution) which have contributed to creating a layer in the atmosphere around the Earth like a giant glass container, affecting the temperatures. Unwariness (ii) _______ of humans may lead to a big global catastrophe in the future, harmful not only to the existence of humanity but to other living and non-living beings too.

Which of the following options is the near opposite of the underlined word (i)?

Choose the correct word from the given alternatives which bears the same relationship to the third word as the first two.

Anaemia : Blood : : Anarchy : ?

The number of divisors of $\left(2^6 \times 3^5 \times 5^3 \times 7^2\right)$, which are of the form $(3r+1)$, where $r$ is a non-negative integer, is

A person sold an article for ₹136 and incurred a 15% loss. Had he sold it for ₹X, he would have obtained a profit of 15%. Which one of the following is correct?

Match List I with List II:

Choose the correct answer from the options given below:

Read the following sentence and, from the options given below, identify its correct passive form.

Your story does not interest me.

The equations $3x^2 - 5x + p = 0$ and $2x^2 - 2x + q = 0$ have one common root. The sum of the other roots of these two equations is

Pointing towards a lady in the picture, Purnima said "She is the mother of Neha whose father is my son." How is Purnima related to the lady in the picture?

The set of all real values of $x$ for which $\left(x^2 - |x+9| + x\right) > 0$, is

The length of a rectangle is increased by 25%. By what percent should its breadth be decreased so as to maintain the same area?

Match List I with List II:

Choose the correct answer from the options given below: