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  • CSAT Year Wise (Temporary Link, This will be removed and no PDFs shall be downloaded here. Please download CSAT subject wise files)
    • CSAT 2025

      • Which one of the following statements best reflects the central idea conveyed by the passage?

      • With reference to the above passage, the following assumptions have been made: I. Higher education is a constantly evolving subject that needs to align towards new developments in all spheres of society. II. In our country, sufficient funds are not allocated for promoting higher education. Which of the above assumptions is/are valid?

      • Which one of the following statements reflects the crux of the passage?

      • With reference to the above passage, the following assumptions have been made: I. The food manufacturing and processing industries in every country should align their objectives and processes in accordance with the changing needs of the societies. II. Wealthier societies tend to incur great loss of calories of food materials due to indirect utilization of their agricultural produce. Which of the above assumptions is/are valid?

      • What is the maximum value of n such that 7 × 343 × 385 × 1000 × 2401 × 77777 is divisible by 35ⁿ?

      • What is X in the sequence 24, X, 12, 18, 36, 90?

      • P and Q walk along a circular track. They start at 5:00 a.m. from the same point in opposite directions. P walks at an average speed of 5 rounds per hour and Q walks at an average speed of 3 rounds per hour. How many times will they cross each other between 5:20 a.m. and 7:00 a.m.?

      • P = +, Q = −, R = ×, S = ÷, then insert the proper notations between the successive numbers in the equation 60 _ 15 _ 3 _ 20 _ 4 _ 20:
      • A train overtakes 2 persons X and Y walking at an average speed of 3 km/h and 4 km/h in the same direction and completely passes them in 8 seconds and 9 seconds respectively. What is the length of the train?
      • If N² = 12345678987654321, then how many digits does the number N have?
      • Which one of the following statements best reflects the corollary to the above passage?
      • With reference to the passage, the following assumptions have been made: The growing divergence between the fortunes of the agricultural and non-agricultural economy in India could have been reduced/contained by: 1. adapting large-scale cultivation of commercial crops and viable corporate farming. 2. providing free insurance for all crops and heavily subsidizing seeds, fertilizers, electricity and farm machinery at par with developed countries. Which of the above assumptions is/are valid?
      • Which one of the following statements best reflects the most logical and rational message conveyed by the author of the passage?
      • With reference to the above passage, the following assumptions have been made: I. There is no need for the State to be involved in any manner in the handloom sector. II. Handloom products are no longer appealing and attractive in the rapidly changing modern world. Which of the above assumptions is/are valid?
      • Consider the first 100 natural numbers. How many of them are not divisible by any one of 2, 3, 5, 7 and 9?
      • If 4 ≤ x ≤ 8 and 2 ≤ y ≤ 7 then what is the ratio of maximum value of (x + y) to minimum value of (x - y)?
      • Let both p and k be prime numbers such that (p² + k) is also a prime number less than 30. What is the number of possible values of k?
      • There are a sets of numbers each having only three positive integers with LCM equal to 1001 and HCF equal to 1. What is the value of 11?
      • Let PQR be a 3-digit number, PPT be a 3-digit number, and PS be a 2-digit number, where P, Q, R, S, T are distinct non-zero digits. Further, PQR + PS = PPT. If Q = 3 and T < 6, then what is the number of possible values of (R, S)?
      • Consider the sequence AB_CC_A_BCCC_BBC_C that follows a certain pattern. Which one of the following completes the sequence?
      • Which one of the following statements best reflects the most logical, rational and pragmatic message conveyed by the author of the passage?
      • With reference to the passage, the following assumptions have been made: I. Green energy production can be linked to/integrated with the climate change mitigation and adaptation strategies. II. Effects of climate change are much more severe in coastal and mountainous regions. Which of the above assumptions is/are valid?
      • Which one of the following statements best reflects the critical message conveyed by the passage?
      • With reference to the above passage, the following assumptions have been made: I. People above the poverty line also are prone to suffer from anxiety about economic insecurity. II. Eradication of poverty can result in peace and social equality in the country. Which of the above assumptions is/are valid?
      • A solid cube is painted yellow on all its faces. The cube is then cut into 60 smaller but equal pieces by making the minimum number of cuts. Which of the following statements is/are correct? I. The minimum number of cuts is 9. II. The number of smaller pieces which are not painted on any face is 6. Select the correct answer using the code given below:
      • If 7 * 24 = 25 and 12 *16 =20, then what does 16 * 63 equal to?
      • The petrol price shot up by 10% as a result of the hike in crude oil prices. The price of petrol before the hike was ₹90 per litre. A person travels 2200 km every month and his car gives a mileage of 16 km per litre. By how many km should he reduce his travel if he wants to maintain his expenditure at the previous level?
      • A 4-digit number N is such that when divided by 3, 5, 6, 9 leaves a remainder 1, 3, 4, 7 respectively. What is the smallest value of N?
      • Consider the following statements: I. If A < B > C < D E F G H; then B is always greater than E. II. If P > Q = R > S = T < U = V > W; then S is always less than V. Which of the statements given above is/are correct?
      • What is the unit digit in the multiplication of 1 × 3 × 5 × 7 × 9 × ... × 999?
      • Which one of the following statements best reflects the critical message conveyed by the author of the passage?
      • With reference to the above passage, the following assumptions have been made: 1. No country needs to depend on ecosystems to boost national income. 2. Resource-rich countries need to share their resources with those of scant resources so as to prevent the degradation of ecosystems. Which of the above assumptions is/are valid?
      • Which one of the following statements best reflects the central idea of the passage?
      • With reference to the above passage, the following assumptions have been made: I. Path-dependent green investments will eventually most likely benefit growth as well as public finances in a country like India. II. If other green technologies follow the same pattern as that of solar energy, there will most likely be an easy green transition. Which of the above assumptions is/are valid?
      • A natural number N is such that it can be expressed as N = p + q + r, where p, q and r are distinct factors of N. How many numbers below 50 have this property?
      • Three prime numbers p, q and r, each less than 20, are such that p - q = q - r. How many distinct possible values can we get for (p + q + r)?
      • How many possible values (p + q + r) are there satisfying 1/p + 1/q + 1/r = 1 where p, q and r are natural numbers (not necessarily distinct)?
      • What comes at X and Y respectively in the following sequence? January, January, December, October, X, March, October, Y, September
      • Team X scored a total of N runs in 20 overs. Team Y tied the score in 10% less overs. Had team Y's average run rate (runs per over) been 50% higher, the scores would have been tied in 12 overs. How many runs were scored by team X?
      • The price (p) of a commodity is first increased by k%; then decreased by k%; again increased by k%; and again decreased by k%. If the new price is q, then what is the relation between p and q?
      • Which one of the following statements best reflects the most logical, rational and crucial message conveyed by the passage?
      • Which one of the following statements best reflects the crux of the passage?
      • A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question: In a football match, team P playing against Q was behind by 3 goals with 10 minutes remaining. Does team P win the match? Statement I: Team P scored 4 goals in the last 10 minutes. Statement II: Team Q scored a total of 4 goals in the match. Which one of the following is correct?
      • A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question: Is (p + q)^2 - 4 positive, where p, q are natural numbers? Statement I: p < q Statement II: p > q Which one of the following is correct?
      • In a T20 cricket match, three players X, Y and Z scored a total of 37 runs. The ratio of number of runs scored by X to the number of runs scored by Y is equal to ratio of number of runs scored by Y to number of runs scored by Z. Value-I = Runs scored by X. Value-II = Runs scored by Y. Value-III = Runs scored by Z. Which one of the following is correct?
      • Let p + q = 10, where p, q are integers. Value-I = Maximum value of p × q when p, q are positive integers. Value-II = Maximum value of p × q when p ≥ -6, q ≥ -4. Which one of the following is correct?
      • Consider a set of 11 numbers: Value-I = Minimum value of the average of the numbers of the set when they are consecutive integers ≥ -5. Value-II = Minimum value of the product of the numbers of the set when they are consecutive non-negative integers. Which one of the following is correct?
      • The average of three numbers p, q and r is k. p is as much more than the average as q is less than the average. What is the value of r?
      • Let x be a real number between 0 and 1. Which of the following statements is/are correct? I. x² > x³ II. x > x² Select the correct answer using the below:
      • The difference between any two natural numbers is 10. What can be said about the natural numbers which are divisible by 5 and lie between these two numbers?
      • Which one of the following statements best reflects the critical message conveyed by the author of the passage?
      • With reference to the above passage, the following assumptions have been made: 1. Corporate capitalism promotes the growth of labour force and provides more employment opportunities. 2. Poor and marginalized sections of population are benefited by corporate capitalism due to trickle-down effect. Which of the above assumptions is/are valid?
      • Which one of the following statements reflects the best explanation of the above passage?
      • Consider the following statements: 1. There exists a natural number which when increased by 50% can have its number of factors unchanged. 2. There exists a natural number which when increased by 150% can have its number of factors unchanged. Which of the statements given above is/are correct?
      • There are 7 places A, B, C, D, E, F and G in a city connected by various roads AB, AC, CD, DE, BF, EG and FG. A is 6 km south of B. A is 10 km west of C. D is 5 km east of E. C is 6 km north of D. F is 9 km west of B. F is 12 km north of G. A person travels from D to F through these roads. What is the distance covered by the person?

      • In a certain code if 64 is written as 343 and 216 is written as 729, then how is 512 written in that code?

      • What is the remainder when 93 + 94 + 95 + 96 + ...... + 100 is divided by 6?
      • A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question: What is the smallest 1-digit number having exactly 4 distinct factors? Statement I: 2 is one of the factors. Statement II: 3 is one of the factors. Which one of the following is correct?
      • A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question: Let P, Q, R, S be distinct non-zero digits. If PP × PQ = RRSS, where P ≤ 3 and Q ≤ 4, then what is Q equal to? Statement I: R=1. Statement II: S=2. Which one of the following is correct in respect of the above Question and the Statements?
      • A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question: How is Q related to P? Statement I: P has two sisters, R and S. Statement II: R's father is the brother of Q. Which one of the following is correct in respect of the above Question and the Statements?
      • Which one of the following statements best reflects the central idea conveyed by the passage?
      • With reference to the above passage, the following assumptions have been made: I. Global climate change can result in the migration of several plant diseases to new areas. II. Scientific understanding of the wild relatives of our present crops would enable us to strengthen food security. Which of the above assumptions is/are valid?
      • Which one of the following statements best reflects the critical message conveyed by the author of the passage?
      • With reference to the above passage, the following assumptions have been made: 1. In a democracy, a strong opposition is required only if the Head of Government is indifferent. 2. The more aggressive the opposition, the better is the governance in a democracy. Which of the above assumptions is/are valid?
      • P is the brother of Q and R. S is R's mother. T is P's father. How many of the following statements are definitely true? I. S and T are a couple. II. Q is T's son. III. T is Q's father. IV. S is P's mother. V. R is T's daughter. VI. P is S's son. Select the correct answer using the code given below:
      • If NO is coded as 210, NOT is coded as 4200 and NOTE is coded as 21000, then how is NOTES coded?
      • If FRANCE is coded as 654321 and GERMANY is coded as 9158437, then how is YEMEN coded?
      • The 5-digit number PQRST (all distinct digits) is such that T = 0, P is thrice T, S is greater than Q by 4, while Q is greater than R by 3. How many such 5-digit numbers are possible?
      • X can complete one-third work in 6 days, Y can complete one-third of the same work in 8 days and Z can complete three-fourth of the same work in 12 days. All of them work together for n days and then X and Z quit, and Y alone finishes the remaining work in 8 2/3 days. What is n equal to?
      • What is X in the sequence 1, 3, 6, 11, 18, X, 42?
      • Which one of the following statements best reflects the central idea conveyed by the passage?
      • With reference to the above passage, the following assumptions have been made: I. Supply-side investments in companies can result in low-carbon behaviour in people. II. People are not capable of adapting low-carbon behaviour without the involvement of Government and Companies. Which of the above assumptions is/are valid?
      • Which one of the following statements best reflects the most logical, rational and pragmatic message conveyed by the passage?
      • With reference to the above passage, the following assumptions have been made: I. Automobile factories are examples of the circular economy. II. Economic growth is compatible with circular use of mineral resources. Which of the above assumptions is/are valid?
      • A set (X) of 20 pipes can fill 70% of a tank in 14 minutes. Another set (Y) of 10 pipes fills 3/8th of the tank in 6 minutes. A third set (Z) of 16 pipes can empty half of the tank in 20 minutes. If half of the pipes of set X are closed and only half of the pipes of set Y are open, and all pipes of the set (Z) are open, then how long will it take to fill 50% of the tank?
      • If n is a natural number, then what is the number of distinct remainders of (1^n + 2^n) when divided by 4?
      • Let P = QQQ be a 3-digit number. What is the HCF of P and 481?
      • What is the 489th digit in the number 123456789101112...?
      • A mobile phone has been stolen. There are P, Q, and R. They were questioned following that only one of them is guilty. Their statements are as follows: P: I did not steal. Q stole it. Q: R did not steal. I did not steal. R: I did not steal. I do not know who did it. Who stole the mobile phone?
      • Three teams P, Q, R participated in a tournament where teams play exactly once against each other. A win fetches 2 points, a draw 1 point, and a loss 0 points. Each team scored exactly one goal. P got 3 points, Q got 2 points, and R got 1 point. Which of the following statements is/are correct? I. The result of the match between P and Q is a draw with the score 0-0. II. The number of goals scored by R against Q is 1. Which of the statements given above is/are correct?
    • CSAT 2024

      • Which of the following statements best reflect the most logical and rational inferences that can be made from the passage?
         1. The current methods of food distribution are solely responsible for the loss and wastage of food.
         2. Land productivity is adversely affected by the prevailing trend of food loss and wastage.
         3. Reduction in the loss and wastage of food results in lesser carbon footprint.
         4. Post-harvest technologies to prevent or reduce the loss and wastage of food are not available.
         Select the correct answer using the code given below.

      • Based on the above passage, the following assumptions have been made:
         1. The food distribution mechanism needs to be reimagined and made effective to reduce the loss and wastage of food.
         2. Ensuring the reduction of wastage and loss of food is a social and moral responsibility of all citizens.
         Which of the assumptions given above is/are valid?

      • Which of the following statements best reflects/reflect the most logical and rational inference/inferences that can be made from the passage?
         1. Central banks cannot bring down inflation without budgetary backing.
         2. The effects of monetary policy depend on the fiscal policies pursued by the government.
         Select the correct answer using the code given below.

      • Based on the above passage, the following assumptions have been made:
         1. Fiscal policies of governments are solely responsible for higher prices.
         2. Higher prices do not affect the long-term government bonds.
         Which of the assumptions given above is/are valid?

      • What is the least possible number of cuts required to cut a cube into 64 identical pieces?

      • In the expression 5 * 4 * 3 * 2 * 1, * is chosen from +, -, x each at most two times. What is the smallest non-negative value of the expression?

      • A certain number of men can complete a piece of work in 6k days, where k is a natural number. By what percent should the number of men be increased so that the work can be completed in 5k days?

      • X, Y and Z can complete a piece of work individually in 6 hours, 8 hours and 8 hours respectively. However, only one person at a time can work in each hour and nobody can work for two consecutive hours. All are engaged to finish the work. What is the minimum amount of time that they will take to finish the work?

      • How many consecutive zeros are there at the end of the integer obtained in the product 12 × 24 × 36 × 48 × ... × 2550?

      • On January 1st, 2023, a person saved ₹1. On January 2nd, 2023, he saved ₹2 more than that on the previous day. On January 3rd, 2023, he saved ₹2 more than that on the previous day and so on. At the end of which date was his total savings a perfect square as well as a perfect cube?

      • Which one of the following statements best reflects the most logical and rational inference that can be made from the above passage?

      • Based on the above passage, the following assumptions have been made:
         1. India needs a new generation of urban professionals with modern knowledge relevant to urban practice.
         2. Indian universities at present have no capacity or potential to impart training in systems approach.
         Which of the assumptions given above is/are correct?

      • Which one of the following statements best reflects the central idea of the above passage?

      • Based on the above passage, the following assumptions have been made:
         1. Internet is not inclusive enough.
         2. Internet can adversely affect the quality of politics in a country.
         Which of the assumptions given above is/are valid?

      • 222333 + 333222 is divisible by which of the following numbers?

      • What percent of water must be mixed with honey so as to gain 20% by selling the mixture at the cost price of honey?

      • What is the rightmost digit preceding the zeros in the value of 3030?

      • 421 and 427, when divided by the same number, leave the same remainder 1. How many numbers can be used as the divisor in order to get the same remainder 1?

      • A can X contains 399 litres of petrol and a can Y contains 532 litres of diesel. They are to be bottled in bottles of equal size so that whole of petrol and diesel would be separately bottled. The bottle capacity in terms of litres is an integer. How many different bottle sizes are possible?

      • Consider the following statements in respect of the sum S = x + y + z, where x, y and z are distinct prime numbers each less than 10:
         1. The unit digit of S can be 0.
         2. The unit digit of S can be 9.
         3. The unit digit of S can be 5.
         Which of the statements given above are correct?

      • Based on the above passage, the following assumptions have been made:
         1. For effective school education, parents have greater role than the governments.
         2. School curriculum that conforms to today's requirements and is uniform for the entire country may address the issues brought out.
         Which of the assumptions given above is/are valid?

      • Which one of the following statements best reflects the central idea conveyed by the passage?

      • Which one of the following statements best reflects the thinking of the author about science?

      • Consider the sequence A_BCD_BBCDABC_DABC_D that follows a certain pattern. Which one of the following completes the sequence?

      • Two persons P and Q enter into a business. P puts ₹14,000 more than Q, but P has invested for 8 months and Q has invested for 10 months. If P's share is ₹400 more than Q's share out of the total profit of ₹2,000, what is the capital contributed by P?

      • P’s salary is 20% lower than Q’s salary which is 20% lower than R’s salary. By how much percent is R’s salary more than P’s salary?

      • A number is mistakenly divided by 4 instead of multiplying by 4. What is the percentage change in the result due to this mistake?

      • In an examination, 80% of students passed in English, 70% passed in Hindi and 15% failed in both subjects. What is the percentage of students who failed in only one subject?

      • A father said to his son, "n years back I was as old as you are now. My present age is four times your age n years back". If the sum of their present ages is 130 years, what is the difference of their ages?

      • Consider the following: 1. 1000 litres = 1 m³ 2. 1 metric ton = 1000 kg 3. 1 hectare = 10000 m² 

        Which of the above are correct?

      • Which of the following is/are emphatically conveyed by the author of the passage?
         1. Without science, mankind could not have continued to exist till today.
         2. It is the science that will ultimately determine the destiny of mankind.
         Select the correct answer using the code given below.

      • Based on the above passage, the following assumptions have been made:
         1. The horrors of modern life are the inevitable result of the progress of science.
         2. The aspect of truth likely to be overlooked is that science is what man has made it.
         Which of the assumptions given above is/are correct?

      • When we meet other people while we travel, we learn to differentiate between

      • With reference to the above passage, the following assumptions have been made:
         1. Travel leads to an understanding of humans.
         2. Travel helps those who wish to learn fundamental common values.
         3. A person with long experience in travel can resolve differences amongst people.
         Which of the assumptions given above are valid?

      • Let X be a two-digit number and Y be another two-digit number formed by interchanging the digits of X. If (X + Y) is the greatest two-digit number, then what is the number of possible values of X?

      • Consider the following: Weight of 6 boys = Weight of 7 girls = Weight of 3 men = Weight of 4 women. If the average weight of the women is 63 kg, then what is the average weight of the boys?

      • How many times do the hour hand and the minute hand coincide in a clock between 10:00 a.m. and 2:00 p.m. (same day)?

      • The calendar for the year 2025 is same for

      • 1. Let p, q, r and s be distinct positive integers. Let p, q be odd and r, s be even. Consider the following statements: 
             1. (p − r)2 (qs) is even. 
             2. (q − s)q2s is even.
             3. (q + r)2 (p + s) is odd.
             Which of the statements given above are correct?

      • What is the angle between the minute hand and hour hand when the clock shows 4:25 hours?

      • Which of the following statements best reflects/reflect the most logical and rational inference/inferences that can be made from the passage?
         1. In conventional classroom learning, the central goal is duration of learning rather than attainment of competency.
         2. Conventional classrooms encourage one-size-fits-all approach and stamp out all differentiation.
         Select the correct answer using the code given below.

      • Based on the above passage, the following assumptions have been made:
         1. As a large number of workers in our country are employed in unorganized sector, India does not need to change its present conventional classroom system of education.
         2. Even with its present conventional classroom system of education, India produces sufficient number of skilled workers to fully realize the benefits of demographic dividend.
         Which of the assumptions given above is/are valid?

      • Based on the above passage, the following assumptions have been made:
         1. The adolescent does not feel comfortable with his parents because they tend to be dominating and assertive.
         2. The adolescent of modern times does not have much respect for parents.
         Which of the assumptions given above is/are valid?

      • Which one of the following statements best reflects the central idea of the above passage?

      • What is the number of fives used in numbering a 260-page book?

      • What is the sum of the first 28 terms in the following sequence? 1,1,2,1,3,2,1,4,3,2,1,5,4,3,2,...

      • A person buys three articles P, Q and R for ₹3,330. If P costs 25% more than R and R costs 20% more than Q, then what is the cost of P?

      • If the sum of the two-digit numbers AB and CD is the three-digit number 1CE, where the letters A, B, C, D, E denote distinct digits, then what is the value of A?

      • Three numbers x, y, z are selected from the set of the first seven natural numbers such that x > 2y > 3z. How many such distinct triplets (x, y, z) are possible?

      • The total cost of 4 oranges, 6 mangoes and 8 apples is equal to twice the total cost of 1 orange, 2 mangoes and 5 apples. Consider the following statements:
         1. The total cost of 3 oranges, 5 mangoes and 9 apples is equal to the total cost of 4 oranges, 6 mangoes and 8 apples.
         2. The total cost of one orange and one mango is equal to the cost of one apple.
         Which of the statements given above is/are correct?

      • Which one of the following statements best reflects the most logical, rational and practical suggestion implied by the passage?

      • Based on the above passage, the following assumptions have been made:
         1. Giant icebergs have a bearing on primary productivity and food chains of the Southern Ocean.
         2. Melting of giant icebergs can produce climate change effects and impact world fisheries.
         Which of the assumptions given above is/are valid?

      • Which one of the following statements best reflects the most logical, rational and practical message conveyed by the passage?

      • 325 + 227 is divisible by

      • Let p and q be positive integers satisfying p < q and p + q = k. What is the smallest value of k that does not determine p and q uniquely?

      • A person walks 100 m straight from his house, turns left and walks 100 m, again turns left and walks 300 m, then turns right and walks 100 m to reach his office. In which direction does he walk initially from his house if his office is exactly in the North-East direction?

      • A person walks 100 m Westward, then turns left and walks 100 m. He then takes 225° turn clockwise. In which direction is he walking now?

      • Statement: India is the world's largest producer of milk.
        Conclusions:
            I. India is the world's largest exporter of milk.
            II. India does not import milk.
        Which one of the following is correct?

      • Question: What are the values of m and n, where m and n are natural numbers?
         Statement-I: m + n > mn and m > n.
         Statement-II: The product of m and n is 24.
         Which one of the following is correct in respect of the above Question and the Statement?

      • Question: What is the time required to download the software?
         Statement-I: The size of the software is 12 megabytes.
         Statement-II: The transfer rate is 2.4 kilobytes per second.

        Which one of the following is correct in recpect of the above Question and the Statement?

      • Which one of the following statements best reflects the crux of the above passage?

      • Which one of the following statements best reflects the most logical, rational and practical message implied by the passage?

      • Which one of the following statements best reflects the crux of the above passage?

      • Question: What are the unique values of x and y, where x, y are distinct natural numbers?
         Statement-I: x / y is odd.
         Statement-II: xy = 12.
         Which one of the following is correct in respect of the above Question and the Statements?

      • A Question is given followed by two Statements I and II. Consider the Question and the Statements. A certain amount was distributed among X, Y and Z.
         Question: Who received the least amount?
         Statement-I: X received 4/5 of what Y and Z together received.
         Statement-II: Y received 2/7 of what X and Z together received.
         Which one of the following is correct in respect of the above Question and the Statements?

      • Question: If the average marks in a class are 60, then what is the number of students in the class?
         Statements:
         I: The highest marks in the class are 70 and the lowest marks are 50.
         II: Exclusion of highest and lowest marks from the class does not change the average.
         Which one of the following is correct in respect of the above Question and the Statements?

      • A Question is given followed by two Statements I and II. Consider the Question and the Statements. There are three distinct prime numbers whose sum is a prime number.
         Question: What are those three numbers?
         Statement-I: Their sum is less than 23.
         Statement-II: One of the numbers is 5.
         Which one of the following is correct in respect of the above Question and the Statements?

      • Question: Is (x + y) an integer?
         Statements:
         I. (2x + y) is an integer.
         II. (x + 2y) is an integer.
         Which one of the following is correct in respect of the above Question and the Statements?

      • A Question is given followed by two Statements I and II. Consider the Question and the Statements.
         A person buys three articles p, q and r for ₹50. The price of the article q is ₹16 which is the least.
         Question: What is the price of the article p?
         Statement-I: The cost of p is not more than that of r.
         Statement-II: The cost of r is not more than that of p.
         Which one of the following is correct in respect of the above Question and the Statements?

      • A Question is given followed by two Statements I and II. Consider the Question and the Statements. P, Q, R and S appeared in a test.
         Question: Has P scored more marks than Q?
         Statement-I: The sum of the marks scored by P and Q is equal to the sum of the marks scored by R and S.
         Statement-II: The sum of the marks scored by P and S is more than the sum of the marks scored by Q and R.
         Which one of the following is correct in respect of the above Question and the Statements?

      • Which one of the following statements best reflects the most logical and rational message conveyed by the above passage?

      • Based on the above passage, the following assumptions have been made:
         1. The author of the passage believes that flowers are creations of Nature's luxury.
         2. The author of the passage does not believe in the usefulness of flowers except as things of beauty.
         Which of the assumptions given above is/are valid?

      • A Question is given followed by two Statements I and II. Consider the Question and the Statements. Age of each of P and Q is less than 100 years but more than 10 years. If you interchange the digits of the age of P, the number represents the age of Q.
         Question: What is the difference of their ages?
         Statement-I: The age of P is greater than the age of Q.
         Statement-II: The sum of their ages is 11/6 times their difference.
         Which one of the following is correct in respect of the above Question and the Statements?

      • 1. A Main Statement is followed by four Statements labelled P, Q, R and S. Choose the ordered pair of the Statements where the first Statement implies the second, and the two Statements are logically consistent with the Main Statement.
         Main Statement: Pradeep becomes either a Director or a Producer.
         Statement P: Pradeep is a Director.
         Statement Q: Pradeep is a Producer.
         Statement R: Pradeep is not a Director.
         Statement S: Pradeep is not a Producer.
         Select the correct answer.

      • If a + b means a - b; a - b means a × b; a × b means a ÷ b; a ÷ b means a + b, then what is the value of 10 + 30 – 100 × 50 + 25? (Operations are to be replaced simultaneously)

      • If P means ‘greater than (>)’; Q means ‘less than (<)’; R means ‘not greater than (≤)’; S means ‘not less than (≥)’ and T means ‘equal to (=)’, then consider the following statements:
         1. If 2x (S) 3y and 3x (T) 4z, then 9y (P) 8z.
         2. If x (Q) 2y and y (R) z, then x (R) z.
         Which of the statements given above is/are correct?

      • If in a certain code, ‘ABCD’ is written as 24 and ‘EFGH’ is written as 1680, then how is ‘IJKL’ written in that code?

      • If in a certain code, ‘POT’ is written as ATOP and ‘TRAP’ is written as APART, then how is ‘ARENA’ written in that code?

      • What will come in place of * in the sequence 3, 14, 39, 84, *, 258?

      • In some code, letters P, Q, R, S, T represent numbers 4, 5, 10, 12, 15. It is not known which letter represents which number. If Q – S = 2S and T = R + S + 3, then what is the value of P + R - T?

    • CSAT 2023

      • Which one of the following statements best reflects the most rational, practical and immediate action required to ensure fair and equitable allocation of water to different stakeholders?

      • Which one of the following statements best reflects what is implied by the passage?

      • Which one of the following statements best reflects the most logical and rational message conveyed by the author of the passage?

      • Consider the following statements regarding the random insertion of four letters into four envelopes, where each letter is to be placed in the envelope with the correct address:
         1. It is possible that exactly one letter goes into an incorrect envelope.
         2. There are only six ways in which only two letters can go into the correct envelopes.
         Which of the statements given above is/are correct?

      • What is the remainder when 85 × 87 × 89 × 91 × 95 × 96 is divided by 100?

      • What is the unit digit in the expansion of (57242)9×7×5×3×1 ?

      • If ABC and DEF are both 3-digit numbers such that A, B, C, D, E and F are distinct non-zero digits such that ABC + DEF = 1111, then what is the value of A + B + C + D + E + F ?

      • D is a 3-digit number such that the ratio of the number to the sum of its digits is least. What is the difference between the digit at the hundred's place and the digit at the unit's place of D?

      • Which one of the following statements best reflects the crucial message conveyed by the author of the passage?

      • Which one of the following statements best implies the most rational assumption that can be made from the passage?

      • Which one of the following statements best reflects the crux of the passage?

      • Three of the five positive integers P, q, r, s, t are even and two of them are odd (not necessarily in 1 order). Consider the following:
         1. p + q + r – s - t is definitely even.
         2. 2p + q + 2r -2s + t is definitely odd.
         Which of the above statements is/are correct?

      • Consider the following in respect of prime number p and composite number c:
         1. p + c / p – c can be even.
         2. 2p + c can be odd.
         3. pc can be odd.
         Which of the statements given above are correct?

      • A 3-digit number ABC, on multiplication with D gives 37DD where A, B, C and D are different non-zero digits. What is the value of A + B + C?

      • For any choices of values of X, Y and Z, the 6-digit number of the form XYZXYZ is divisible by:

      • 125 identical cubes are arranged in the form of a cubical block. How many cubes are surrounded by other cubes from each side?

      • How many distinct 8-digit numbers can be formed by rearranging the digits of the number 11223344 such that odd digits occupy odd positions and even digits occupy even positions?

      • A, B, C working independently can do a piece of work in 8, 16 and 12 days respectively. A alone works on Monday, B alone works on Tuesday, C alone works on Wednesday; A alone, again works on Thursday and so on. Consider the following statements:
         1. The work will be finished on Thursday.
         2. The work will be finished in 10 days.
         Which of the above statements is/are correct?

      • Which one of the following statements best reflects the most logical and rational implication conveyed by the passage?

      • Which of the following statements best reflects the logical inference from the passage given above?

      • Which one of the following statements best reflects the most logical and rational inference that can be drawn from the passage?

      • If 7 ⊕ 9 ⊕ 10 = 8, 9 ⊕ 11 ⊕ 30 = 5, 11 ⊕ 17 ⊕ 21 = 13, what is the value of 23 ⊕ 4 ⊕ 15?

      • Let x be a positive integer such that 7x + 96 is divisible by x. How many values of x are possible?

      • If p, q, r and s are distinct single digit positive numbers, then what is the greatest value of (p + q) (r + s)?

      • A number N is formed by writing 9 for 99 times, what is the remainder if N is divided by 13?

      • Each digit of a 9-digit number is 1. It is multiplied by itself. What is the sum of the digits of the resulting number?

      • What is the sum of all digits which appear in all the integers from 10 to 100?

      • ABCD is a square. One point on each of AB and CD; and two distinct points on each of BC and DA are chosen. How many distinct triangles can be drawn using any three points as vertices out of these six points?

      • Based on the above passage, the following assumptions have been made:
         1. Collection, processing and segregation of municipal waste should be with government agencies.
         2. Resource recovery and recycling require technological inputs that can be best handled by private sector enterprises.
         Which of the assumptions given above is/are Correct?

      • Which one of the following statements best reflects the crux of the passage?

      • Based on the above passage, the following assumptions have been made: 1. Organic farming is inherently unsafe for both farmers and consumers. 2. Farmers and consumers need to be educated about eco-friendly food. Which of the assumptions given above is/are correct?

      • Which one of the following statements best reflects the most logical, rational and practical message conveyed by the author of the passage?

      • Based on the above passage, the following assumptions have been made:
         1. To implement the Sustainable Development Goals and to achieve zero-hunger goal, monoculture agriculture practices are inevitable even if they do not address malnutrition.
         2. Dependence on a few crops has negative consequences for human health and the ecosystem.
         3. Government policies regarding food planning need to incorporate nutritional security.
         4. For the present monoculture agriculture practices, farmers receive subsidies in various ways and government offers remunerative prices for grains and therefore they do not tend to consider crop diversity.
         Which of the above assumptions is/are correct?

      • A box contains 14 black balls, 20 blue balls, 26 green balls, 28 yellow balls, 38 red balls and 54 white balls. Consider the following statements:
         1. The smallest number n such that any n balls drawn from the box randomly must contain one full group of at least one colour is 175.
         2. The smallest number m such that any m balls drawn from the box randomly must contain at least one ball of each colour is 167.
         Which of the above statements is/are correct?

      • If ZERO is written as CHUR, then how is PLAYER written?

      • Consider the following statements:
         1. A is older than B.
         2. C and D are of the same age.
         3. E is the youngest.
         4. F is younger than D.
         5. F is older than A.
         How many statements given above are required to determine the oldest person/persons?

      • Consider the following including the Question and the Statements:
         1. There are 5 members A, B, C, D, E in a family.
         2. Question: What is the relation of E to B?
         3. Statement-1: A and B are a married couple.
         4. Statement-2: D is the father of C.
         5. Statement-3: E is D's son.
         6. Statement-4: A and C are sisters.
         Which one of the following is correct in respect of the above Question and Statements?

      • Choose the group which is different from the others:

      • With reference to the above passage, the following assumptions have been made:
         1. Global warming is causing spring to come early and for longer durations.
         2. Early spring and longer period of spring is not good for bird populations.
         Which of the above assumptions is/are correct?

      • Which one of the following statements best reflects the most logical, rational and crucial message implied by the passage?

      • Which one of the following statements best reflects the most logical, rational and crucial message conveyed by the passage?

      • A principal P becomes Q in 1 year when compounded half-yearly with R% annual rate of interest. If the same principal P becomes Q in 1 year when compounded annually with S% annual rate of interest, then which one of the following is correct?

      • How many natural numbers are there which give a remainder of 31 when 1186 is divided by these natural numbers?

      • Let pp, qq and rr be 2-digit numbers where p<q<r. If pp + qq + rr = tt0, where tto is a 3 digit number ending with zero, consider the following statements:

        1. The number of possible values of p is 5.

        2 The number of possible values of q is 6.

        Which of the above statements is/are correct?

      • What is the sum of all 4-digit numbers less than 2000 formed by the digit 1,2,3 and 4, where none of the digits is repeated?

      • What is the number of selections of 10 consecutive things out of 12 things in a circle taken in the clockwise direction?

      • If today is Sunday, then which day is it exactly on 1010th day?

      • There are three traffic signals. Each signal changes colour from green to red and then from red to green. The first signal takes 25 seconds, the second signal takes 39 seconds and the third signal takes 60 seconds to change the colour from green to red. The durations for green and red colours are same. At 2:00 p.m., they together turn green. At what time will they change to green next, simultaneously?

      • Which one of the following statements best reflects the most logical and rational message conveyed by the author of the passage?

      • Which one of the following statements best reflects the most logical and practical message conveyed by the passage?

      • Which one of the following statements best reflects the crux of the passage?

      • 40 children are standing in a circle and one of them (say child-1) has a ring. The ring is passed clockwise. Child-1 passes on to child-2, child-2 passes on to child-4, child-4 passes on to child-7 and so on. After how many such changes (including child-1) will the ring be in the hands of child-1 again?

      • What is the middle term of the sequence Z, Z, Y, Y, Y, X, X, X, X, W, W, W, W, W, …., A?

      • Question: Is p greater than q?
         Statement-1: p × q is greater than zero.
         Statement-2: p² is greater than q².
         Which one of the following is correct in respect of the above Question and the Statements?

      • Question: Is (p + q - r) greater than (p – q + r), where p, q and r are integers?
         Statement-1: (p-q) is positive.
         Statement-2: (p-r) is negative.
         Which one of the following is correct in respect of the above Question and the Statements?

      • Question:
         In the party, 75 persons took tea, 60 persons took coffee, and 15 persons took both tea and coffee. No one taking milk takes tea. Each person takes at least one drink. How many persons attended the party?
         Statement-1: 50 persons took milk. 
         Statement-2: Number of persons who attended the party is five times the number of persons who took milk only. 
         Which one of the following is correct in respect of the above Question and the Statements?

      • Consider a 3-digit number.
         Question: What is the number?
         Statement-1: The sum of the digits of the number is equal to the product of the digits.
         Statement-2: The number is divisible by the sum of the digits of the number.
         Which one of the following is correct in respect of the above Question and the Statements?

      • For five children with ages a < b < c < d < e; any two successive ages differ by 2 years. Question: What is the age of the youngest child?
         1. Statement-1: The age of the eldest is 3 times the youngest.
         2. Statement-2: The average age of the children is 8 years.

        Which one of the following is correct in respect of the above Question and the Statements?

      • Which one of the following statements best reflects the most logical message implied by the above passage?

      • Regarding the financialization of household savings, which of the following statements best reflect the solutions that are implied by the passage?
         1. A flexible environment is needed to develop solutions.
         2. Households need customized solutions.
         3. Innovations in financial technology are required.
         Select the correct answer using the code given below:

      • Based on the above passage, the following assumptions have been made:
         1. Patent protection given to patentees puts a huge burden on public's purchasing power in accessing patented medicines.
         2. Dependence on other countries for pharmaceutical products is a huge burden for developing and poor countries.
         3. Providing medicines to the public at affordable prices is a key goal during the public health policy design in many countries.
         4. Governments need to find an appropriate balance between the rights of patentees and the requirements of the patients.
         Which of the above assumptions are valid?

      • Based on the above passage, the following assumptions have been made:
         1. Protection of privacy is not just a right, but it has value to the economy.
         2. There is a fundamental link between privacy and innovation.
         Which of the above assumptions is/are valid?

      • In an examination, the maximum marks for each of the four papers namely P, Q, R and S are 100. Marks scored by the students are in integers. A student can score 99% in n different ways. What is the value of n?

      • A flag has to be designed with 4 horizontal Stripes using some or all of the colours red, green and yellow. What is the number of different ways in which this can be so that no two adjacent stripes have the same colour?

      • A rectangular floor measures 4 m in length and 2.2 m in breadth. Tiles of size 140 cm by 60 cm have to be laid such that the tiles do not overlap. A tile can be placed in any orientation so long as its edges are parallel to the edges of the floor. What is the maximum number of tiles that can be accommodated on the floor?

      • There are five persons P, Q, R, S and T each one of whom has to be assigned one task. Neither P nor Q can be assigned Task-1. Task-2 must be assigned to either R or S. In how many ways can the assignment be done?

      • Consider the following statements regarding silver coins weighing 2 gm, 5 gm, 10 gm, 25 gm, and 50 gm each:
         1. To buy 78 gm of coins one must buy at least 7 coins.
         2. To weigh 78 gm using these coins one can use less than 7 coins.
         Which one of the statements given above is/are correct?

      • Consider the following: 
            I. A + B means A is neither smaller nor equal to B.
            II. A-B means A is not greater than B.
            III. A x B means A is not smaller than B.
            IV. A ÷ B means A is neither greater nor equal to B.
            V. A ± B means A is neither smaller nor greater than B.
        Statement: P x Q, P-T, T÷R, R ± S
        Conclusion-1:  Q+T
        Conclusion-2:  S + Q
        Which one of the following is correct in respect of the above Statement and the Conclusions?

      • Which one of the following statements most likely reflects as to what the author of the passage intends to say?

      • Which one of the following statements best reflects the most rational, logical and practical message conveyed by the passage?

      • Based on the above passage, which one of the following terms best expresses the ultimate goal of the state?

      • What is the remainder if 2192 is divided by 6?

      • Consider the sequence ABC__ABC_DABBCD_ABCD that follows a certain pattern. Which one of the following completes the sequence?

      • AB and CD are 2-digit numbers. Multiplying AB with CD results in a 3-digit number DEF. Adding DEF to another 3-digit number GHI results in 975. Further A, B, C, D, E, F, G, H, I are distinct digits. If E = 0, F = 8, then what is A+B+C equal to?

      • Consider the following statements in respect of five candidates P, Q, R, S and T. Two statements are true and one statement is false.
         True Statement: One of P and Q was selected for the job.
         False Statement: At least one of R and S was selected for the job.
         True Statement: At most two of R, S and T were selected for the job.
         Which of the following conclusions can be drawn?
         1. At least four were selected for the job.
         2. S was selected for the job.
         Select the correct answer using the code given below:

      • Let P, Q, R, S and T be five statements such as that:
         I. If P is true, then both Q and S are true.
         II. If R and S are true, then T is false.
         Which of the following can be concluded?
         1. If T is true, then at least one of P and R must be false.
         2. If Q is true, then P is true.
         Select the correct answer using the code given below:

      • A cuboid of dimensions 7 cm x 5 cm x 3 cm is painted red, green and blue colour on each pair of opposite faces of dimensions 7 cm X 5 cm, 5 cm X 3 cm, 7 cm x 3 cm respectively. Then the cuboid is cut and separated into various cubes each of side 1 cm. Which of the following statements is/are correct?
         1. There are exactly 15 small cubes with no paint on any face.
         2. There are exactly 6 small cubes with exactly two faces, one painted with blue and the other with green.
         Select the correct answer using the code given below:

      • The letters of the word “INCOMPREHENSIBILITIES” are arranged alphabetically in reverse order. How many positions of the letter/letters will remain unchanged?

    • CSAT 2022
    • CSAT 2021

      • Which one of the following statements best reflects the most critical inference that can be made from the passage given above?

      • Which one of the following statements best reflects the critical message conveyed by the passage given above?

      • Which one of the following statements best reflects the central idea of the passage given above?

      • A person P asks one of his three friends X as to how much money he had. X replied, "If Y gives me 40, then Y will have half of as much as Z, but if Z gives me 40, then three of us will have equal amount." What is the total amount of money that X, Y and Z have?
    • CSAT 2020

      • How many zeroes are there at the end of the following product? 1 * 5 * 10 * 15 * 20 * 25 * 30 * 35 * 40 * 45 * 50 * 55 * 60

      • Let XYZ be a three-digit number, where (X + Y + Z) is not a multiple of 3. Then (XYZ + YZX + ZXY) is not divisible by

      • One page is torn from a booklet whose pages are numbered in the usual manner starting from the first page as 1. The sum of the numbers on the remaining pages is 195. The torn page contains which of the following numbers?

      • A is 16th from the left end in a row of boys and V is 18th from the right end. G is 11th from A towards the right and 3rd from V towards the right end. How many boys are there in the row?

      • The recurring decimal representation 1-272727... is equivalent to

    • CSAT 2019
      • Which one of the following is the most logical and rational inference that can be made from the above passage?
      • In a conference, out of a total 100 participants, 70 are Indians. If 60 of the total participants are vegetarian, then which of the following statements is/are correct? 1. At least 30 Indian participants are vegetarian. 2. At least 10 Indian participants are non-vegetarian. Select the correct answer using the codes given below:

      • Which one of the following is the most logical, rational and crucial message conveyed by the above passage?

      • Ena was born 4 years after her parents' marriage. Her mother is three years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena's father get married?
      • What is X in the sequence 4, 196, 16, 144, 36, 100, 64, X?

    • What is the most rational and crucial message given by the passage?

    • CSAT 2017

      • The keynote that seems to be emerging from the passage is that

      • "Rights are certain advantageous conditions of social well-being indispensable to the true development of the citizen." In the light of this statement, which one of the following is the correct understanding of rights?
      • Gopal bought a cell phone and sold it to Ram at 10% profit. Then Ram wanted to sell it back to Gopal at 10% loss. What will be Gopal's position if he agreed?

      • What does the above passage imply?

      • Which among the following is the most logical and rational inference that can be made from the above passage?

      • Who of the following belongs to Hyderabad?
      • A 2-digit number is reversed. The larger of the two numbers is divided by the smaller one. What is the largest possible remainder?
      • There are certain 2-digit numbers. The difference between the number and the one obtained on reversing it is always 27. How many such maximum 2-digit numbers are there?
    • CSAT 2016

      • Who is the doctor ?

      • Which among the following is the most logical and critical inference that can be made from the above passage?

      • Which among the following is the most critical inference that can be made from the above passage?

      • Which one of the following is the message that is essentially implied in the above passage?

      • Which among the following is the most logical assumption that can be made from the above passage ?

      • Which among the following is the most logical corollary to the above passage?

    • CSAT 2015

      • Which among the following is the most logical and rational assumption that can be made from the above passage?

      • Which among the following is the most critical inference that can be made from the above passage?

      • According to the passage, which of the following is/are a matter of intense debate in the multilateral negotiations under UNFCCC regarding the role of developing countries in climate change?
         1. The scale and size of required financial support.
         2. The crop loss due to climate change in the developing countries.
         3. To enhance the mitigation and adaptation actions in the developing countries.

        Select the correct answer using the code given below:

    • CSAT 2014
    • CSAT 2013
      • Who does not play hockey ?
      • Who plays football, basketball and hockey?
      • Which game do B, C and D play?
    • CSAT 2012

    • What makes his life miserable whenever he undertakes travelling?

  2. PYQs and Practice Questions
  3. UPSC IAS (CSE)
  4. UPSC Prelims
  5. CSAT Year Wise (Temporary Link, This will be removed and no PDFs shall be downloaded here. Please download CSAT subject wise files)
  6. CSAT 2012
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