UPSC Civil Service Prelims Paper II 2025 (CSAT) | UPSC Civil Service Year Wise Previous Years Questions

Basic Numeracy

1. A natural number $N$ is such that it can be expressed as $\mathbf{N}=\mathbf{p}+\mathbf{q}+\mathbf{r}$, where $\mathbf{p 2. Three prime numbers $p, q$ and $r$, each less than 20 , are such that $p-q=q-r$. How many distinct possible values can w 3. How many possible values of $(p+q+r)$ are there satisfying $\frac{1}{p}+\frac{1}{q}+\frac{1}{r}=1$, where $p, q$ and $r$ 4. 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 5. The price (p) of a commodity is first increased by $\mathbf{k} \boldsymbol{\%}$; then decreased by $\mathrm{k} \%$; agai 6. 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 7. 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 smal 8. What is the unit digit in the multiplication of $1 \times 3 \times 5 \times 7 \times 9 \times \ldots \times 999$ ? 9. Consider the first 100 natural numbers. How many of them are not divisible by any one of $2,3,5,7$ and 9 ? 10. If $4 \leq x \leq 8$ and $2 \leq y \leq 7$, then what is the ratio of maximum value of $(x+y)$ to minimum value of $(x-y 11. Let both $p$ and $k$ be prime numbers such that $\left(p^2+k\right)$ is also a prime number less than 30 . What is the n 12. There are $n$ sets of numbers each having only three positive integers with LCM equal to 1001 and HCF equal to 1 . What 13. Let PQR be a 3-digit number, PPT be a 3-digit number and $\mathbf{P S}$ be a 2-digit number, where $\mathbf{P}, \mathbf{ 14. What is the maximum value of $n$ such that $7 \times 343 \times 385 \times 1000 \times 2401 \times 77777$ is divisible b 15. $P$ and $Q$ walk along a circular track. They start at 5:00 a.m. from the same point in opposite directions. $P$ walks a 16. A tram overtakes 2 persons $X$ and $Y$ walking at an average speed of $3 \mathrm{~km} / \mathrm{hr}$ and $4 \mathrm{~km} 17. If $N^2=12345678987654321$, then how many digits does the number N have? 18. A set $(X)$ of 20 pipes can fill $70 \%$ of a tank in 14 minutes. Another set ( $\mathbf{Y}$ ) of 10 pipes fills 3/8th o 19. If $n$ is a natural number, then what is the number of distinct remainders of $\left(1^n+2^n\right)$ when divided by 4 ? 20. Let $P=Q Q Q$ be a 3-digit number. What is the HCF of P and 481 ? 21. What is the 489 th digit in the number $123456789101112 \ldots$ ? 22. The 5-digit number PQRST (all distinct digits) is such that $\mathbf{T} \neq \mathbf{0} . \mathbf{P}$ is thrice $\mathbf 23. $\mathbf{X}$ can complete one-third of a certain work in $\mathbf{6}$ days, $\mathbf{Y}$ can complete one-third of the s 24. Consider the following statements: I. There exists a natural number which when increased by $50 \%$ can have its number 25. What is the remainder when $9^3+9^4+9^5+9^6+\ldots+9^{100}$ is divided by 6 ? 26. 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 $\math 27. Let $p+q=10$, where $p, q$ are integers. Value-I $=$ Maximum value of $\mathbf{p} \times \mathbf{q}$ when $\mathbf{p}, \ 28. Consider a set of 11 numbers: Value-I = Minimum value of the average of the numbers of the set when they are consecutive 29. 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. 30. Let $x$ be a real number between 0 and 1 . Which of the following statements is/are correct? I. $x^2>x^3$. II. $x>\sqrt{ 31. The difference between any two natural numbers is 10 . What can be said about the natural numbers which are divisible by

Comprehension

Data Interpretation

1. A question is given followed by Statements I and II. Consider the Question and the Statements and mark the correct optio 2. A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct o 3. A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct o 4. A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct o 5. A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct o

Logical Reasoning and General Mental Ability

1. What comes at $X$ and $Y$ respectively in the following sequence? January, January, December, October, X, March, October 2. A solid cube is painted yellow on all its faces. The cube is then cut into 60 smaller but equal pieces by making the min 3. If $7 * 24=25$ and $12 * 16=20$, then what is $16^* 63$ equal to? 4. Consider the following statements: I. If $\mathrm{A} \leq \mathrm{B}>\mathrm{C}\mathrm{E}>\mathrm{F} \geq \mathrm{G}=\ma 5. Consider the sequence AB_CC_A_BCCC_BBC_C that follows a certain pattern. Which one of the following completes the sequen 6. What is $\mathbf{X}$ in the sequence $$ 24, X, 12,18,36,90 ? $$ 7. If $\mathbf{P}=+, \mathbf{Q}=-, \mathbf{R}=\times, \mathbf{S}=\div$, then insert the proper notations between the succes 8. A mobile phone has been stolen. There are 3 suspects $P$, $\mathbf{Q}$ and $\mathbf{R}$. They were questioned knowing th 9. Three teams $\mathbf{P}, \mathbf{Q}, \mathbf{R}$ participated in a tournament in which the teams play with one another e 10. $P$ 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 t 11. If NO is coded as 210,NOT is coded as 4200 and NOTE is coded as 21000 , then how is NOTES coded? 12. If FRANCE is coded as 654321 and GERMANY is coded as 9158437 , then how is YEMEN coded? 13. What is $\mathbf{X}$ in the sequence $1,3,6,11,18, X, 42$ ? 14. There are 7 places $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}, \mathrm{E}, \mathrm{F}$ and G in a city connected by 15. In a certain code if 64 is written as 343 and 216 is written as $\mathbf{7 2 9}$, then how is $\mathbf{5 1 2}$ written i

Basic Numeracy

Comprehension

Data Interpretation

Logical Reasoning and General Mental Ability

UPSC Civil Service Prelims Paper II 2025 (CSAT)

MCQ (Single Correct Answer)

+2.5

-0.883

"A network of voluntary associations stands as a 'buffer' between the relatively powerless individual and the potentially powerful State."

In a certain code if 64 is written as 343 and 216 is written as $\mathbf{7 2 9}$, then how is $\mathbf{5 1 2}$ written in that code?

1000

1331

1728

2197

UPSC Civil Service Papers