UPSC Prelims CSAT Solved Papers

Directions: Answer each item using the following instructions and mark your response on the Answer Sheet accordingly:
(a) Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement
(b) Select this option if the question can be answered using either statement alone
(c) Select this option if the question can be answered using both the statements together, but cannot be answered using either statement alone
(d) Select this option if the question cannot be answered even using any of the statements

Question: X receives three coins of different denominations: 1, 2, 5, 10 and 20. If the total amount received by X is m, does X receive a coin of denomination 5?

Statement I: m is not a prime number.

Statement II: The sum of the digits of m is greater than 5.

Directions: Answer each item using the following instructions and mark your response on the Answer Sheet accordingly:
(a) Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement
(b) Select this option if the question can be answered using either statement alone
(c) Select this option if the question can be answered using both the statements together, but cannot be answered using either statement alone
(d) Select this option if the question cannot be answered even using any of the statements

Question: For two distinct real numbers x and y, which of them is bigger?

Statement I: $x^{2} < y < 1$

Statement II: $y < \sqrt{x} < 1$

Directions: Answer each item using the following instructions and mark your response on the Answer Sheet accordingly:
(a) Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement
(b) Select this option if the question can be answered using either statement alone
(c) Select this option if the question can be answered using both the statements together, but cannot be answered using either statement alone
(d) Select this option if the question cannot be answered even using any of the statements

Question: If x and y are integers, then is x even?

Statement I: $x^{2}y^{2}$ is even.

Statement II: $1 + x^{2} + y^{2}$ is odd.

Directions: Answer each item using the following instructions and mark your response on the Answer Sheet accordingly:
(a) Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement
(b) Select this option if the question can be answered using either statement alone
(c) Select this option if the question can be answered using both the statements together, but cannot be answered using either statement alone
(d) Select this option if the question cannot be answered even using any of the statements

Question: X is a collection of certain odd numbers whereas Y is a collection of certain even numbers. T consists of the numbers all of which are either from X or from Y. Is every number of T from Y?

Statement I: The sum of any two numbers belonging to T is even.

Statement II: If both p and q are picked from T, then $(p - 1)q$ is even.

Directions: Answer each item using the following instructions and mark your response on the Answer Sheet accordingly:
(a) Select this option if the question can be answered using one of these statements alone, but cannot be answered using other statement
(b) Select this option if the question can be answered using either statement alone
(c) Select this option if the question can be answered using both the statements together, but cannot be answered using either statement alone
(d) Select this option if the question cannot be answered even using any of the statements

Question: If x, y and z are integers, each greater than 1, then is x a prime number?

Statement I: $xy^{2} = 116$

Statement II: $xz = 261$

Read the following passage and answer the items that follow. Your answers should be based solely on the passage.

'Kalagram', the cultural village set up at the Maha Kumbh Mela, unfolded as a mosaic of India's diverse regions, each represented by seven meticulously crafted 'Sanskriti Angans'—stepping through the grand portal was like entering another world. These thematic zones, inspired by iconic temples like the Dakshineshwar Kali Temple and the Brahma Mandir, were treasure troves of regional artistry. Bengal's Pattachitra paintings, Assam's bamboo crafts, Tamil Nadu's Thanjavur paintings, and Madhya Pradesh's tribal sculpture—all were showcased in these living galleries where 230 master artisans breathed life into them using age-old techniques, their hands shaping India's ancient history into creations to behold.

Which of the following conclusions are valid?

1. Seven Sanskriti Angans, representing different regions of India, had been showcased in Kalagram.
2. Regional artistry was recognised via the inspiration drawn from iconic temples.
3. India's ancient history had been crafted by the contemporary craftsmanship of 230 artisans into creations to behold.
4. Art forms from all regions of India had been showcased in these living galleries.

Which one of the following statements is not correct?

The weight of X, in kg, is denoted by X. The weights of A, B, C, D, P, Q, R and S are measured. Given:
$A + B + C + D = 17$
$A + C = 6$
$P + Q + S + D = 15$
$P + Q + R + B = 17$
$P = R$ and $Q = S$

Which one of the following statements is correct?

How many words can one form by shuffling the letters of the word QUEUE, if Q is always followed by U? The words thus formed need not necessarily have any meaning.

X, Y and Z jump forward 4', 6' and 5', respectively. At 8 AM, they all land on mark 199'. How many times will they all land on the same mark (need not be at the same moment) between mark 195' and 1000', if all of them cross mark 1000' by 9 AM?

Directions: Read the following passage and answer the items that follow. Your answers should be based solely on the passage.

Sport is not just about winning medals or getting jobs through a sports quota. Today's generation is struggling with issues like depression and anxiety. Parents often say that their children are inactive and rarely leave the house. Sport can help tackle these problems. From sport you can learn time management, fitness, teamwork, coordination, and so much more. We need to develop a culture in which sport is seen as a way of life—a path to building a healthier, happier society.

Which of the following conclusions are valid?

1. Sport is more than just games; it is a way of life.
2. Sport can help mitigate the problems of seclusion among the young.
3. Earning laurels in sport can help one secure a job on the basis of an assigned quota.
4. Standard corporate sector skills cannot be learnt through sport.

Which of the following statements is/are correct?

1. Parents are not encouraging enough when it comes to children playing sport.
2. Participation in sporting activities can help develop life skills.
3. Sport as a way of life can help evolve the very nature of society itself.

A toy T jumps forward or backward. In each forward jump, it moves 5' forward whereas in each backward jump, it moves 2' backward. If in 31 jumps, T moves exactly 15' forward, then what is the difference of the number of forward and backward jumps?

Eight persons P, Q, R, S, T, U, V and W sit around a round table in eight different seats placed with equal distance between any two consecutive seats. Both P and R are adjacent to Q. Both T and R are adjacent to S. Both U and W are adjacent to V. S and W are on opposite chairs. If while going in the clockwise direction around the table from P, one meets R before T, then how many persons shall cross while moving in the clockwise direction around the table before meeting W?

The top of a table is rectangular and its dimensions are 6' × 10'. Two rectangular portions of the table top are painted in blue colour; both these portions have dimensions 2.5' × 8' and each of them has exactly two sides common with two edges of the table top. If the table is fixed to the ground and the remaining portion of the table top is painted in white, how many different patterns are possible when observed from above?

Directions: Read the following passage and answer the items that follow. Your answers should be based solely on the passage.

How is deflation done? Most countries use a method called 'double deflation', where input and output prices are deflated separately. Consider a manufacturer importing oil for use in production. If oil prices fall, output prices do not and quantities remain the same, real value added should not change. But if the same deflator is used for inputs and outputs, as in India, it would look as if the manufacturer had become more productive.

Which of the following statements is/are correct?

1. Real value should not change in the instance of static output cost and unchanged quantities against falling oil prices.
2. Deflators are to be used separately for inputs and outputs, and this is a practice universally adopted by all economies.

Which of the following assumptions is/are valid?

1. Deflation strategies can be used to make manufacturers appear to be doing better than they actually are.
2. When input and output prices are both deflated against a single input price, it is referred to as 'double deflation'.

A pattern formed by two characters a and b is repeated more than once in the following string:

× b × a × a × × a × a × b a b

What is × × in the 7th and 8th positions from the left in the above string?

If $10^{m} \times 1000 \times n = 75^{25} \times 25^{32} \times 32^{75}$, where n is not divisible by 10, then the value of m is

The speed of a train T is 100 km per hour and the speed of a person P is 4 km per hour. T crosses P in 15 seconds, if P travels along the direction of motion of T. If P travels along the opposite direction of T, then in how much time does T cross P, in seconds, approximately?

For 1/3 < x < y < 2, which of the following statements is/are always correct?

I. $x + \frac{1}{x} < y + \frac{1}{y}$
II. $\frac{\sqrt{1+y^{2}}}{y} < \frac{\sqrt{1+x^{2}}}{x}$

What is the minimum number of times one needs to measure to get 298 litres of water from a tank, if the measuring cylinders have capacities 1 litre, 6 litres, 25 litres and 100 litres?

There are four types of weights, namely 1 kg, 2 kg, 5 kg and 10 kg. What is the maximum number of different ways one can measure 20 kg, if at least eight but not more than eleven weights of 1 kg are to be used while measuring?

A cut on a solid object divides the object into two parts where the new surfaces thus produced are plane. On the other hand, one single cut can be used to cut more than one object at a time. In an experiment, the total number of pieces produced by applying n cuts is denoted by $x_{n}$. The experiment is performed on a solid cube where pieces remain unmoved after each cut. In this experiment, if after the third cut, the pieces are identical, then which of the following is not a possible value for $x_{4}$?

The class average x in a test increases by 4 when the score of a student is rectified, whose corrected score is 100 instead of 0. Later, the score of another student was found to have been recorded as 81 in place of 56. If there are no other corrections and the final corrected average is y, then $y - x$ is