Previous Year CSAT Questions – Quiz 1

1. Consider the Question and 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 to the Question and the statements? (UPSC 2022)

2. What is the remainder if 2¹⁹² is divided by 6? (UPSC 2023)

3. What is the unit digit in the expansion (57242)^{9×7×5×3×1}

4. What is the middle term of the sequence

Z, Z, Y, Y, Y, X, X, X, X, W, W, W, W, W …………….. A? (UPSC 2023)

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

1. p x 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? (UPSC 2022)

6. The number 3798125P369 is divisible by 7. What is the value of digit P? (UPSC 2021)

7. . In a group of 15 people; 7 can read French, 8 can read English while 3 of them can read neither of these two languages. The number of people who can read exactly one language is: (UPSC 2019)

8. Two friends X and Y start running and they run together for 50m in the same direction and reach a point. X turns right and runs 60m, while Y turns left and runs 40m. Then X turns left and runs 50m and stops, while Y turns right and runs 50m and then stops. How far are the friends from each other now? (UPSC 2022)

9. How many pairs of natural numbers are there such that difference between whose squares is 63 (UPSC 2020)

10. Consider the following multiplication problem: PQ X 3= RQQ, where P, Q and R are different digits and R 0.

What is the value of (P+R)  Q? (UPSC 2021)

11. For any choices of values of X, Y and Z, the 6-digit number of the form XYZXYZ is divisible by: (UPSC 2023)

12. What is the smallest number greater than 1000 that when divided by any one of the numbers 6, 9, 12, 15, 18 leaves a remainder of 3 (UPSC 2022)

13. Which number amongst 2^40,3^21,4^18,8^12 is the smallest? (UPSC 2022)

14. Two statements followed by four conclusions are given below. You have to take the statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows/follow from the statement, disregarding the commonly known facts:  (UPSC 2022)

Statement 1 : All pens are books

Statement 2 : No chair is a pen

Conclusion 1 : All chairs are books

Conclusion 2 : Some chairs are pen

Conclusion 3 : All books are chairs

Conclusion 4 : No chair is a book

Which of the following is correct?

15. How many zeroes are the end of the result 1X5X10X15X20X25X30X35X40X45X50X55X60 (UPSC 2020)

16. Two statements S1 and S2 are given below followed by a Question:

S1 – n is a prime number

S2 – n leaves a remainder of 1 when divided by 4

Question:

If n is a unique natural number between 10 and 20, then what is n? (UPSC 2020)

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

17. There are large number of silver coins weighing 2 gm, 5 gm, 10 gm, 25 gm, 50gm each. Consider the following statements:

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 of the statements given above is/are correct?

18. What is the value of X in the sequence 2, 7, 22, 67, 202, X, 1822 (UPSC 2021)

19. Two statements followed by four conclusions are given below. You have to take the statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows/follow from the statement, disregarding the commonly known facts:  (UPSC 2021)

Statement 1 : Some greens are blues

Statement 2 : Some blues are blacks

Conclusion 1 : Some greens are blacks

Conclusion 2 : No green is black

Conclusion 3 : All greens are blacks

Conclusion 4 : All blacks are green

Which of the following is correct?

20. What is the sum of all digits which appear in all the integers from 10 to 100? (UPSC 2023)

21. A bank employee drives 10 Km towards south from her house and turns to her left and drives another 20 Km. She again turns left and drives 40 Km, then she turns to her right and drives for another 5Km. She again turns to her right and drives another 30Km to reach her bank where she works. What is the shortest distance between her bank and her house? (UPSC 2021)

22. Directions for the following 4 (four) items:

Read the following two passages and answer the items that follow the passages. Your answers to these items should be based on the passages only.

Passage–1

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:

23. Passage – 2

There is a claim that organic farming is inherently safer and healthier. The reality is that because the organic farming industry is still young and not well-regulated in India, farmers and consumers, alike, are not only confused about what products are best for them, but sometimes use products in ways that could harm them as well. For example, since organic fertilizers are difficult to obtain on a large scale in India, farmers often use farmyard manure, which may contain toxic chemicals and heavy metals. Certain plant sprays, such as Datura flower and leaf spray, have an element called atropine. If it is not applied in the right dose, it can act on the nervous system of the consumer. Unfortunately, how much and when to use it are not well-researched or regulated issues.

? 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?

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

25. Passage–3

“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?