Prelims CSAT 2022 (Paper 2)

The average weight of A, B and C is 40 kg, the average weight of B, D and E is 42 kg, and the weight of F is equal to that of B. What is the average weight of A, B, C, D, E and F?

What is the number of numbers of the form 0.XY, where X and Y are distinct non-zero digits?

The sum of three consecutive integers is equal to their product. How many such possibilities are there?

There are 9 cups placed on a table arranged in equal number of rows and columns out of which 6 cups contain coffee and 3 cups contain tea. In how many ways can they be arranged so that each row should contain at least one cup of coffee?

One non-zero digit, one vowel and one consonant from the English alphabet (in capital letters) are to be used in forming passwords, such that each password has to start with a vowel and end with a consonant. How many such passwords can be generated?

If 15 × 14 × 13 ×... × 3 × 2 × 1 = 3^m × n, where m and n are positive integers, then what is the maximum value of m?

A pie chart gives the expenditure on five different items A, B, C, D and E in a household. If B, C, D and E correspond to 90°, 50°, 45° and 75° respectively, then what is the percentage of expenditure on item A?

There are two containers X and Y. X contains 100 ml of milk and Y contains 100 ml of water. 20 ml of milk from X is transferred to Y. After mixing well, 20 ml of the mixture in Y is transferred back to X. If m denotes the proportion of milk in X and n denotes the proportion of water in Y, then which one of the following is correct?

Consider the following statements:

1. Between 3:16 p.m. and 3:17 p.m. both hour hand and minute hand coincide.
2. Between 4:58 p.m. and 4:59 p.m. both minute hand and second hand coincide. Which of the above statements is/are correct?

Consider the following statements in respect of two natural numbers p and q such that p is a prime number and q is a composite number:

1. p × q can be an odd number.
2. q/p can be a prime number.
3. p + q can be a prime number. Which of the above statements are correct?

Let p be a two-digit number and q be the number consisting of the same digits written in reverse order. If p × q = 2430, then what is the difference between p and q?

What is the smallest number greater than 1000 that when divided by any one of the numbers 6, 9, 12, 15 and 18 leaves a remainder of 3?

Two candidates X and Y contested an election. 80% of voters cast their vote and there were no invalid votes. There was no NOTA (None of the above) option. X got 56% of the votes cast and won by 1440 votes. What is the total number of voters in the voters list?

When 70% of a number x is added to another number y, the sum becomes 165% of the value of y. When 60% of the number x is added to another number z, then the sum becomes 165% of the value of z. Which one of the following is correct?

Consider the following statements in respect of a rectangular sheet of length 20 cm and breadth 8 cm: 1. It is possible to cut the sheet exactly into 4 square sheets. 2. It is possible to cut the sheet into 10 triangular sheets of equal area. Which of the above statements is/are correct?

What is the remainder when 91 × 92 × 93 × 94 × 95 × 96 × 97 × 98 × 99 is divided by 1261?

24 men and 12 women can do a piece of work in 30 days. In how many days can 12 men and 24 women do the same piece of work?

There are eight equidistant points on a circle. How many right-angled triangles can be drawn using these points as vertices and taking the diameter as one side of the triangle?

There is a numeric lock which has a 3-digit PIN. The PIN contains digits 1 to 7. There is no repetition of digits. The digits in the PIN from left to right are in decreasing order. Any two digits in the PIN differ by at least 2. How many maximum attempts does one need to find out the PIN with certainty?

Let A, B and C represent distinct non-zero digits. Suppose x is the sum of all possible 3-digit numbers formed by A, B and C without repetition. Consider the following statements: 1. The 4-digit least value of x is 1332. 2. The 3-digit greatest value of x is 888. Which of the above statements is/are correct?

Consider the Question and the two Statements given below: Question: What is the age of Manisha? Statement 1: Manisha is 24 years younger than her mother. Statement 2: 5 years later, the ages of Manisha and her mother will be in the ratio 3: 5. Which one of the following is correct in respect of the Question and the Statements?

A person X wants to distribute some pens among six children A, B, C, D, E and F. Suppose A gets twice the number of pens received by B, three times that of C, four times that of D, five times that of E and six times that of F. What is the minimum number of pens X should buy so that the number of pens each one gets is an even number?

Passage:

How best can the problems of floods and droughts be addressed so that the losses are minimal and the system becomes resilient? In this context, one important point that needs to be noted is that India gets "too much' water (about 75% of annual precipitation) during 120 days (June to September) and "too little' for the remaining 245 days. This skewed water availability has to be managed and regulated for its consumption throughout the year.

Which one of the following best reflects the practical, rational and lasting solutions?

A man started from home at 14:30 hours and drove to a village, arriving there when the village clock indicated 15:15 hours. After staying for 25 minutes, he drove back by a different route of length 1.25 times the first route at a rate twice as fast, reaching home at 16:00 hours. As compared to the clock at home, the village clock is

Passage:

To encourage research is one of the functions of a university. Contemporary universities have encouraged research, not only in those cases where research is necessary, but on all sorts of entirely unprofitable subjects as well. Scientific research is probably never completely valueless. However silly and insignificant it may seem, however mechanical and unintelligent the labours of the researchers, there is always a chance that the results may be of value to the investigator of talent, who can use the facts collected for him by uninspired but industrious researchers as the basis of some fruitful generalization. But where research is not original, but consists in the mere rearrangement of existing materials, where its objects is not scientific but literary or historical, then there is a risk of the whole business becoming merely futile.

According to the author

Five friends P, Q, X, Y and Z purchased some notebooks. The relevant information is given below: 1. Z purchased 8 notebooks more than X did. 2. P and Q together purchased 21 notebooks. 3. Q purchased 5 notebooks less than P did. 4. X and Y together purchased 28 notebooks. 5. P purchased 5 notebooks more than X did. If each notebook is priced at Rs. 40, then what is the total cost of all the notebooks?

Passage:

To encourage research is one of the functions of a university. Contemporary universities have encouraged research, not only in those cases where research is necessary, but on all sorts of entirely unprofitable subjects as well. Scientific research is probably never completely valueless. However silly and insignificant it may seem, however mechanical and unintelligent the labours of the researchers, there is always a chance that the results may be of value to the investigator of talent, who can use the facts collected for him by uninspired but industrious researchers as the basis of some fruitful generalization. But where research is not original, but consists in the mere rearrangement of existing materials, where its objects is not scientific but literary or historical, then there is a risk of the whole business becoming merely futile.

The author's assumption about scientific research is that

Passage:

"The social order is a sacred right which is the basis of all other rights. Nevertheless, this right does not come from nature, and must therefore be founded on conventions."

With reference to the above passage which of the following statements is/are correct? 1. Conventions are the sources of rights of man. 2. Rights of man can be exercised only when there is a social order. Select the correct answer using the code given below.

Consider the Question and the two Statements given below in respect of three cities P, Q and R in a State: Question: How far is city P from city Q? Statement 1: City Q is 18 km from city R. Statement 2: City P is 43 km from city R. Which one of the following is correct in respect of the Question and the Statements?

How many seconds in total are there in x weeks, x days, x hours, x minutes and x seconds?

Passage:

The majority of people who fail to accumulate money sufficient for their needs, are generally, easily influenced by the opinions of others. They permit the newspapers and the gossiping neighbours to do their thinking for them. Opinions are the cheapest commodities on the earth. Everyone has a flock of opinions ready to be wished upon by anyone who will accept them. If you are influenced by opinions when you reach decisions, you will not succeed in any undertaking.

What is the main idea of the passage?

Three persons A, B and C are standing in a queue not necessarily in the same order. There are 4 persons between A and B, and 7 persons between B and C. If there are 11 persons ahead of C and 13 behind A, what could be the minimum number of persons in the queue?

Passage:

The majority of people who fail to accumulate money sufficient for their needs, are generally, easily influenced by the opinions of others. They permit the newspapers and the gossiping neighbours to do their thinking for them. Opinions are the cheapest commodities on the earth. Everyone has a flock of opinions ready to be wished upon by anyone who will accept them. If you are influenced by opinions when you reach decisions, you will not succeed in any undertaking.

Which one of the following is implied by the passage?

Passage:

If presents bring less thrill now that we are grown up, perhaps it is because we have too much already, or perhaps it is because we have lost the fullness of the joy of giving and with it the fullness of the joy of receiving. Children's fears are poignant, their miseries are acute, but they do not look too forward nor too far backward. Their joys are clear and complete, because they have not yet learnt always to add 'but' to every proposition. Perhaps we are too cautious, too anxious, too sceptical. Perhaps some of our cares would shrink if we thought less about them and entered with more single-minded enjoyment into the happiness that come our way.

The author of the passage is against

A has some coins. He gives half of the coins and 2 more to B. B gives half of the coins and 2 more to C. C gives half of the coins and 2 more to D. The number of coins D has now is the smallest two-digit number. How many coins does A have in the beginning?

A, B and C are three places such that there are three different roads from A to B, four different roads from B to C and three different roads from A to C. In how many different ways can one travel from A to C using these roads?

Passage:

If presents bring less thrill now that we are grown up, perhaps it is because we have too much already, or perhaps it is because we have lost the fullness of the joy of giving and with it the fullness of the joy of receiving. Children's fears are poignant, their miseries are acute, but they do not look too forward nor too far backward. Their joys are clear and complete, because they have not yet learnt always to add 'but' to every proposition. Perhaps we are too cautious, too anxious, too sceptical. Perhaps some of our cares would shrink if we thought less about them and entered with more single-minded enjoyment into the happiness that come our way.

With reference to the passage, which one of the following statements is correct?

On one side of a 1.01 km long road, 101 plants are planted at equal distance from each other. What is the total distance between 5 consecutive plants?

Passage:

In an economic organization, allowing mankind to benefit by the productivity of machines should lead to a very good life of leisure, and much leisure is apt to be tedious except to those who have intelligent activities and interests. If a leisured population is to be happy, it must be an educated population, and must be educated with a view to enjoyment as well as to the direct usefulness of technical knowledge.

Which of the following statements best reflects the underlying tone of the passage?

The letters A, B, C, D and E are arranged in such a way that there are exactly two letters between A and E. How many such arrangements are possible?

Passage:

Natural selection cannot anticipate future environments on the earth. Therefore, the set of existing organisms can never be fully prepared for environmental catastrophes that await life. An outcome of this is the extinction of those species which cannot overcome environmental adversity. This failure to survive, in modern terms, can be attributed to the genomes which are unable to withstand geological vagaries or biological mishaps infections, diseases and so on). In biological evolution on the earth, extinction of species has been a major feature. The earth may presently have up to ten million species, yet more than 90% of species that have ever lived on the earth are now extinct. Once again, the creationist doctrines fail to satisfactorily address why a divine creator will firstly bother to create millions of species and then allow them to perish. The Darwinian explanation for extinct life is once again simple, elegant and at once convincing organisms go extinct as a function of environmental or biological assaults for which their inheritance deems them ill-equipped. Therefore, the so-called Darwinian theory of evolution is not a theory at all. Evolution happens-this is a fact. The mechanism of evolution (Darwin proposed natural selection) is amply supported by scientific data. Indeed, to date no single zoological, botanical, geological, paleontological, genetic or physical evidence has refuted either of the central two main Darwinian ideas. If religion is not taken into consideration, Darwinian laws are acceptable just like the laws proposed by Copernicus, Galileo, Newton and Einstein-sets of natural laws that explain natural phenomena in the universe.

According to the passage, natural selection cannot anticipate future environments on the earth as 1. species not fully prepared to face the environmental changes that await them will face extinction 2. all the existing species would get extinct as their genomes will not withstand biological mishaps 3. inability of the genome to withstand environmental changes would result in extinction 4. extinction of species is a common feature Select the correct answer using the code given below.

What is the value of X in the sequence 2, 12, 36, 80, 150, X?

The increase in the price of a certain item was 25%. Then the price was decreased by 20% and then again increased by 10%. What is the resultant increase in the price?

Passage:

In some places in the world, the productivity of staples such as rice and wheat has reached a plateau. Neither new strains nor fancy agrochemicals are raising the yields. Nor is there much unfarmed land left that is suitable to be brought under the plough. If global temperature continues to rise, some places will become unsuitable for farming. Application of technology can help overcome these problems. Agricultural technology is changing fast. Much of this change is brought about by affluent farmers in the West/Americas. Techniques developed in the West are being adapted in some places to make tropical crops more productive. Technology is of little use if it is not adapted. In the developing world, that applies as much to existing farming techniques as it does to the latest advances in genetic modification. Extending to the smallholders and subsistence farmers of Africa and Asia the best of today's agricultural practices, in such simple matters as how much fertilizers to apply and when, would lead to a greatly increased availability of food for humanity. So would things like better roads and storage facilities, to allow for the carriage of surpluses to markets and reduce wastage.

Based on the above passage, the following assumptions have been made: 1. Growing enough food for future generation will be a challenge. 2. Corporate farming is a viable option for food security in poor countries. Which of the above assumptions is/are valid?

Six lectures A, B, C, D, E and F, each of one hour duration, are scheduled between 8:00 a.m. and 2:00 p.m. Which lecture is in the third period? Statement 1: Lecture F is preceded by A and followed by C. Statement 2: There is no lecture after lecture B. Decide sufficiency.

Passage:

In some places in the world, the productivity of staples such as rice and wheat has reached a plateau. Neither new strains nor fancy agrochemicals are raising the yields. Nor is there much unfarmed land left that is suitable to be brought under the plough. If global temperature continues to rise, some places will become unsuitable for farming. Application of technology can help overcome these problems. Agricultural technology is changing fast. Much of this change is brought about by affluent farmers in the West/Americas. Techniques developed in the West are being adapted in some places to make tropical crops more productive. Technology is of little use if it is not adapted. In the developing world, that applies as much to existing farming techniques as it does to the latest advances in genetic modification. Extending to the smallholders and subsistence farmers of Africa and Asia the best of today's agricultural practices, in such simple matters as how much fertilizers to apply and when, would lead to a greatly increased availability of food for humanity. So would things like better roads and storage facilities, to allow for the carriage of surpluses to markets and reduce wastage.

Based on the above passage, the following assumptions have been made: 1. Poor countries need to bring about change in their existing farming techniques. 2. Developed countries have better infrastructure and they waste less food. Which of the above assumptions is/are valid?

Six persons A, B, C, D, E and F are sitting equidistant from each other around a circular table facing the centre. Who is sitting on the immediate left of A? Statement 1: B is opposite to C and D is opposite to E. Statement 2: F is sitting on the immediate left of B. Decide sufficiency.

Consider the Question and the two Statements given below: Question: Is x an integer? Statement 1: x/3 is not an integer. Statement 2: 3x is an integer. Which one of the following is correct in respect of the Question and the Statements?

Passage:

In some places in the world, the productivity of staples such as rice and wheat has reached a plateau. Neither new strains nor fancy agrochemicals are raising the yields. Nor is there much unfarmed land left that is suitable to be brought under the plough. If global temperature continues to rise, some places will become unsuitable for farming. Application of technology can help overcome these problems. Agricultural technology is changing fast. Much of this change is brought about by affluent farmers in the West/Americas. Techniques developed in the West are being adapted in some places to make tropical crops more productive. Technology is of little use if it is not adapted. In the developing world, that applies as much to existing farming techniques as it does to the latest advances in genetic modification. Extending to the smallholders and subsistence farmers of Africa and Asia the best of today's agricultural practices, in such simple matters as how much fertilizers to apply and when, would lead to a greatly increased availability of food for humanity. So would things like better roads and storage facilities, to allow for the carriage of surpluses to markets and reduce wastage.

Based on the above passage, the following assumptions have been made: 1. Development of agricultural technology is confined to developed countries. 2. Agricultural technology is not adapted in developing countries. Which of the above assumptions is/are valid?

Eight students A, B, C, D, E, F, G and H sit around a circular table, equidistant from each other, facing the centre. B and D sit neither adjacent to C nor opposite to C. A sits in between E and D, and F sits in between B and H. Which one of the following is definitely correct?

How many 3-digit natural numbers (without repetition of digits) are there such that each digit is odd and the number is divisible by 5?

Statement 1: Some doctors are teachers. Statement 2: All teachers are engineers. Statement 3: All engineers are scientists. Conclusions: I. Some scientists are doctors. II. All engineers are doctors. III. Some engineers are doctors. Which conclusion(s) follow?

In a tournament of Chess having 150 entrants, a player is eliminated whenever he loses a match. It is given that no match results in a tie or draw. How many matches are played in the entire tournament?

Passage:

The poverty line is quite unsatisfactory when it comes to grasping the extent of poverty in India. It is not only because of its extremely narrow definition of 'who is poor' and the debatable methodology used to count the poor, but also because of a more fundamental assumption underlying it. It exclusively relies on the notion of poverty as insufficient income or insufficient purchasing power. One can better categorize it by calling it income poverty. If poverty is ultimately about deprivations affecting human well-being, then income poverty is only one aspect of it. Poverty of a life, in our view, lies not merely in the impoverished state in which the person actually lives, but also in the lack of real opportunity given by social constraints as well as personal circumstances-to choose other types of living. Even the relevance of low incomes, meagre possessions, and other aspects of what are standardly seen as economic poverty relate ultimately to their role in curtailing capabilities, i.e., their role in severely restricting the choices people have to lead variable and valued lives.

What does the author mean by 'poverty of a life'?

Statement 1: All pens are books. Statement 2: No chair is a pen. Conclusions: I. All chairs are books. II. Some chairs are pens. III. All books are chairs. IV. No chair is a book. Which conclusion(s) follow?

X and Y run a 3 km race along a circular course of length 300 m. Their speeds are in the ratio 3: 2. If they start together in the same direction, how many times would the first one pass the other? (The start-off is not counted as passing.)

Passage:

The poverty line is quite unsatisfactory when it comes to grasping the extent of poverty in India. It is not only because of its extremely narrow definition of 'who is poor' and the debatable methodology used to count the poor, but also because of a more fundamental assumption underlying it. It exclusively relies on the notion of poverty as insufficient income or insufficient purchasing power. One can better categorize it by calling it income poverty. If poverty is ultimately about deprivations affecting human well-being, then income poverty is only one aspect of it. Poverty of a life, in our view, lies not merely in the impoverished state in which the person actually lives, but also in the lack of real opportunity given by social constraints as well as personal circumstances-to choose other types of living. Even the relevance of low incomes, meagre possessions, and other aspects of what are standardly seen as economic poverty relate ultimately to their role in curtailing capabilities, i.e., their role in severely restricting the choices people have to lead variable and valued lives.

Why is income poverty only one measure of counting the 'poor'?

The digits 1 to 9 are arranged in three rows in such a way that each row contains three digits, and the number formed in the second row is twice the number formed in the first row, and the number formed in the third row is thrice the number formed in the first row. Repetition of digits is not allowed. If only three of the four digits 2, 3, 7 and 9 are allowed to be used in the first row, how many such combinations are possible to be arranged in the three rows?

Passage:

The poverty line is quite unsatisfactory when it comes to grasping the extent of poverty in India. It is not only because of its extremely narrow definition of 'who is poor' and the debatable methodology used to count the poor, but also because of a more fundamental assumption underlying it. It exclusively relies on the notion of poverty as insufficient income or insufficient purchasing power. One can better categorize it by calling it income poverty. If poverty is ultimately about deprivations affecting human well-being, then income poverty is only one aspect of it. Poverty of a life, in our view, lies not merely in the impoverished state in which the person actually lives, but also in the lack of real opportunity given by social constraints as well as personal circumstances-to choose other types of living. Even the relevance of low incomes, meagre possessions, and other aspects of what are standardly seen as economic poverty relate ultimately to their role in curtailing capabilities, i.e., their role in severely restricting the choices people have to lead variable and valued lives.

Why is the methodology adopted in India to count the 'poor' debatable?

In the series AABABCABCDABCDE…, which letter appears at the 100th place?

Passage:

"In simple matters like shoe-making, we think only a specially trained person will serve our purpose, but in politics, we presume that everyone who knows how to get votes knows how to administer a State. When we are ill, is a guarantee of specific preparation and technical competence-we do not ask for the handsomest physician, or the most eloquent one: well then, when the whole State is ill should we not look for the service and guidance of the wisest and the best?"

Which one of the following statements best reflects the message of the author of the passage?

Which number amongst 2^40, 3^21, 4^18 and 8^12 is the smallest?

Is Z brother of X? Statement 1: X is a brother of Y and Y is a brother of Z. Statement 2: X, Y and Z are siblings. Decide sufficiency.

If the order of the letters in the English alphabet is reversed and each letter represents the letter whose position it occupies, then which of the following represents LUCKNOW?

Passage:

Unless the forces and tendencies which are responsible for destroying the country's environment are checked in the near future and afforestation of denuded areas is taken up on a massive scale, the harshness of the climatic conditions and soil erosion by wind and water will increase to such an extent that agriculture, which is the mainstay of our people, will gradually become impossible. The desert countries of the world and our own desert areas in Rajasthan are a grim reminder of the consequences of large-scale deforestation. Pockets of desert-like landscape are now appearing in other parts of the country including the Sutlej-Ganga Plains and Deccan Plateau. Where only a few decades back there used to be lush green forests with perennial streams and springs, there is only brown earth, bare of vegetation, without any water in the streams and springs except in the rainy season.

According to the passage given above, deforestation and denudation will ultimately lead to which of the following? 1. Depletion of soil resource 2. Shortage of land for the common man 3. Lack of water for cultivation Select the correct answer using the code given below.

A bill for ₹1,840 is paid in the denominations of ₹50, ₹20 and ₹10 notes. Fifty notes in all are used. Consider the following statements: 1. 25 notes of ₹50 are used and the remaining are in the denominations of ₹20 and ₹10. 2. 35 notes of ₹20 are used and the remaining are in the denominations of ₹50 and ₹10. 3. 20 notes of ₹10 are used and the remaining are in the denominations of ₹50 and ₹20. Which of the above statements are not correct?

Two friends X and Y start running and they run together for 50 m in the same direction and reach a point. X turns right and runs 60 m, while Y turns left and runs 40 m. Then X turns left and runs 50 m and stops, while Y turns right and runs 50 m and then stops. How far are the two friends from each other now?

Passage:

The main threat to maintaining progress in human development comes from the increasingly evident unsustainability of production and consumption patterns. Current production models rely heavily on fossil fuels. We now know that this is unsustainable because the resources are finite. The close link between economic growth and greenhouse gas emissions needs to be served for human development to become truly sustainable. Some developed countries have begun to alleviate the worst effects by expanding recycling and investing in public transport and infrastructure. But most developing countries are hampered by the high costs and low availability of clean energy sources. Developed countries need to support developing countries' transition to sustainable human development.

Consider the following statements: Developed countries can support developing countries' transition to sustainable human development by 1. making clean energy sources available at low cost 2. providing loans for improving their public transport at nominal interest rates 3. encouraging them to change their production and consumption patterns Which of the statements given above is/are correct?

Which date of June 2099 is a Sunday?

What is the value of X in the sequence 20, 10, 10, 15, 30, 75, X?

An identity card has the number ABCDEFG, not necessarily in that order, where each letter represents a distinct digit from 1, 2, 4, 5, 7, 8 and 9. The number is divisible by 9. After deleting the first digit from the right, the resulting number is divisible by 6. After deleting two digits from the right, the resulting number is divisible by 5. After deleting three digits from the right, the resulting number is divisible by 4. After deleting four digits from the right, the resulting number is divisible by 3. After deleting five digits from the right, the resulting number is divisible by 2. Which of the following is a possible value for the sum of the middle three digits of the number?

Passage:

The main threat to maintaining progress in human development comes from the increasingly evident unsustainability of production and consumption patterns. Current production models rely heavily on fossil fuels. We now know that this is unsustainable because the resources are finite. The close link between economic growth and greenhouse gas emissions needs to be served for human development to become truly sustainable. Some developed countries have begun to alleviate the worst effects by expanding recycling and investing in public transport and infrastructure. But most developing countries are hampered by the high costs and low availability of clean energy sources. Developed countries need to support developing countries' transition to sustainable human development.

Unsustainability in production pattern is due to which of the following? 1. Heavy dependence on fossil fuels 2. Limited availability of resources 3. Expansion of recycling Select the correct answer using the code given below.