Previous Year CSAT Questions – Quiz 2

1. 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 statements is correct (UPSC 2022)

2. What is the remainder when 91X92X93X94X95X96X97X98X99 is divided by 1261? (UPSC 2022)

3. If 15X14X13X…….X3X2X1 = 3^m X n, where m and n are positive integers, then what is the maximum value of m (UPSC 2022)

4. In the series AABABCABCDABCDE…., which letter appears in the 100^th place? (UPSC 2022)

5. Sum of three consecutive integers is equal to their product. How many possibilities are there? (UPSC 2022)

6. An Identity Card has the number ABCDEFG, not necessarily in that order, where each other, where each letter represents a distinct digit (1, 2, 4, 5, 7, 8, 9 only). 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 of the original number, the resulting number is divisible by 5. After deleting three digits from right of original number, the resulting number is divisible by 4. After deleting four digits from the right, the resulting number is divisible by 3. After deleting five digit 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. (UPSC 2022)

7. In a conference, out of total 100 participants, 70 are Indians. If 60 of the total participants are vegetarian, then which of the following is correct? (UPSC 2019)

1. At least 30 Indian participants are vegetarian
2. At least 10 Indian participants are non-vegetarian

8. A man walks down the backside of his house straight 25m, then turns to the right and walks 50m again; then he turns towards left and again walks 25m. If his house faces to the East, what is his direction from starting point? (UPSC 2020)

9. A has some coins. He gives half of the coins and two more to B. B gives half of the coins and two more to C. C gives half of the coins and two 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. (UPSC 2022)

10. In the sum  + 1  + 5  +  + 1 = 1, for which digit does the symbol stand? (UPSC 2020)

11. How many natural numbers are there which give a remainder of 31 when 1186 is divided by these natural numbers? (UPSC 2023)

12. 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 are the same. At 2:00 pm, they together turn green. At what time will they change to green next, simultaneously? (UPSC 2023)

13. For what value of n, the sum of digits in the number 10ⁿ + 1 is 2 (UPSC 2020)

14. A bill of Rs1840 is paid in denominations of Rs50, Rs20 and Rs10 notes. 50 notes are used in total. Consider the following statements (UPSC 2022)

1. 25 notes of Rs50 are used and the remaining are in the denominations of Rs20 and Rs10
2. 35 notes of Rs20 are used and the remaining are in denominations of Rs50 and Rs10
3. 20 notes of Rs10 are used and the remaining are in the denominations of Rs50 and Rs20

Which of the above statements are not correct?

15. Consider the following statements

1. The sum of 5 consecutive integers can be 100
2. The product of three consecutive natural numbers can be equal to their sum

Which of the above statements are correct? (UPSC 2021)

16. How many 3 digit natural numbers (without repetition) are there such that each digit is odd and the number is divisible by 5? (UPSC 2022)

17. What is the least four digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case (UPSC 2020)

18. A frog tries to come out of a dried well 4.5m deep with slippery walls. Every time the frog jumps 30 cm, slides down 15cm. What is the number of jumps required by the frog to come out of the well? (UPSC 2020)

19. A number N is formed by writing 9 for 99 times. What is the remainder if N is divided by 13? (UPSC 2023)

20. Five friends P, Q, X, Y and Z purchased some notebooks. The relevant information is given below: (UPSC 2022)

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?

21. Three statements followed by three 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: Some doctors are teachers

Statement 2: All teachers are engineers

Statement 3: All engineers are scientists

Conclusion 1: Some scientists are doctors

Conclusion 2: All engineers are doctors

Conclusion 3: Some engineers are doctors

Which of the following is correct?

22.

18. In the series _b_a_ba_b_abab_aab, fill the six blanks using the following given four choices such that series follows a specific order. (UPSC 2021

23. Three statements followed by two 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 radios are mobiles

Statement 2 : All mobiles are computers

Statement 3 : Some computers are watches

Conclusion 1 : Certainly some radios are watches

Conclusion 2 : Certainly some mobiles are watches

Which of the following is correct?

24. A three 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? (UPSC 2023)

25. P, Q and R are three towns. The distance between P and Q is 60Km, whereas the distance between P and R is 80Km. Q is in the west of P and R is in the south of P. What is the distance between Q and R? (UPSC 2019)