CSAT 2023

# UPSC Prelims CSAT 2023 Solution

## UPSC Prelims CSAT 2023 Solution

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- 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?
- A box contains 14 black balls, 20 blue balls, 26 green balls, 28 yellow balls, 38 red balls and 54 white balls.
- 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 tt0 is a 3-digit number ending with zero, consider the following statements:
- What is the sum of all 4-digit numbers less than 2000 formed by the digits 1, 2, 3 and 4, where none of the digits is repeated?
- Question: Is p greater than q? Statement-1: p x q is greater than zero. Statement-2: p^2 is greater than q^2.
- 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.
- 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.
- 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 done so that no two adjacent stripes have the same colour?
- 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?
- What is the remainder if 2^192 is divided by 6?
- 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 ?
- Raj has ten pairs of red, nine pairs of white and eight pairs of black shoes in a box. If he randomly picks shoes one by one (without replacement) from the box to get a red pair of shoes to wear, what is the maximum number of attempts he has to make?
- In how many ways can a batsman score exactly 25 runs by scoring single runs, fours and sixes only, irrespective of the sequence of scoring shots ?
- There are four letters and four envelopes and exactly one letter is to be put in exactly one envelope with the correct address. If the letters are randomly inserted into the envelopes, then consider the following statements:
- What is the remainder when 85 x 87 x 89 x 91 x 95 x 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 distinct and F are 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?
- Three of the five positive integers p, q, r, s, t are even and two of them are odd (not necessarily in order).
- 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.
- 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 :
- 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?
- 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?
- 125 identical cubes are arranged in the form of a cubical block. How many cubes are surrounded by other cubes from each side?
- 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.
- If 7@9@10=8, 9@11@30 =5, 11@17@21=13, what is the value of 23@4@15?
- 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.
- Consider the following including the Question and the Statements: There are 5 members A, B, C, D, E in a family. Question: What is the relation of E to B?
- Choose the group which is different from the others: (d) 83, 89, 91, 97
- 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?
- 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 10^10 th day?
- There are three traffic signals. Each signal changes colour from green to red and then from red to green.
- 40 children are standing in a circle and one of 5 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?
- In a 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.
- For five children with ages a<b<c<d< e; any two successive ages differ by 2 years.
- 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 large number of silver coins D weighing 2 gm, 5 gm, 10 gm, 25 gm, 50 gm R each.
- 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. AB means A is neither smaller nor greater than B.
- Consider the sequence ABC_ _ ABC_ DABBCD_ ABCD that follows a certain pattern. Which one of the following completes the sequence?
- Consider the following statements in respect of five candidates P, Q, R, S and T. Two statements are true and one statement is false.
- Let P, Q, R, S and T be five statements such that: I. If P is true, then both Q and S are true. II. If R and S are true, then T is false.
- A cuboid of dimensions 7 cm x 5 cm x 3 cm is painted red, green and blue colour on each pair of 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 length 1 cm. Which of the following statements is/are correct?
- The of the word letters “INCOMPREHENSIBILITIES” are arranged alphabetically in reverse order. How many positions of the letter/letters will remain unchanged?
- We often hear about conflicts among different States in India over river waters. Of the 20 major river systems, 14 are already water-stressed; 75% of the population lives in water-stressed regions, a third of whom live in water-scarce areas.
- More than half of Indian women and almost a quarter of Indian men of working age suffer from anaemia.
- In India, a majority of farmers are marginal and small, less educated and possess low adaptive capabilities to climate change, perhaps because of credit and other constraints. So, one cannot expect autonomous adaptation to climate change.
- The emissions humans put into the atmosphere now will affect the climate in the middle of the century and onwards.
- Environmental problems cause health problems.
- Many people are not eating the right food.
- To tackle the problem of pollution in cities, policy makers think that drastic actions like temporary use of odd-even number scheme for vehicles, closing schools, factories, construction activities, and banning the use of certain type of vehicles are a way forward. Even then the air is not clean.
- Good corporate governance structures encourage companies to provide accountability and control.
- Elephants are landscape architects, creating clearings in the forest, preventing overgrowth of certain plant species and allowing space for the regeneration of others, which in turn provide sustenance to other herbivorous animals.
- In India, the segregation of municipal waste at source is rare.
- There is a claim that organic farming is inherently safer and healthier.
- Food consumption patterns have changed substantially in India over the past few decades.
- Scientist studied the vernal window – transition period from winter to the growing season.
- A global analysis of nitrogen use efficiency a measure of the amount of nitrogen a plant takes in to grow versus what is left behind as pollution says that using too much fertilizers will lead to increased pollution of waterways and the air.
- Along with sustainable lifestyles, climate justice is regarded as a significant principle in environmental parlance.
- Sourcing food from non-agricultural lands (uncultivated systems such as forests, wetlands, pastures, etc) in addition to agricultural lands enables a systemic approach to food consumption.
- While awareness on use/misuse and abuse of antibiotics is common knowledge, as is the impact of dosing poultry with antibiotics, the environmental impact of companies not antibiotics-manufacturing treating their waste has scarcely been discussed at any length or seriousness thus far. Pollution from antibiotics factories is fuelling the rise of drug-resistant infections. The occurrence of drug-resistant bacteria surrounding the pharma manufacturing plants is well known.
- Benefits of good quality school education accrue only when students complete and leave school after having acquired the gateway skills.
- The paradox of choice is illustrated by the story of Buridan’s ass. Jean Buridan, the 14th century philosopher, wrote about free will and the inability to choose due to numerous choices and uncertainties.
- Household finance in India is unique.
- Pharmaceutical patents grant protection to the patentee for the duration of the patent term.
- India should ensure the growth of the digital economy while keeping personal data of citizens secure and protected.
- In India, while the unemployment rate is a frequently used measure of poor performance of the economy, under conditions of rising school and college enrolment, it paints an inaccurate picture.
- Science by itself is not enough, there must be a force and discipline outside the sciences to coordinate them and point to a goal.
- The last end of the state is not to dominate men, nor to restrain them by fear; rather it is so to free each man from fear that he may live and act with full security and without injury to himself or his neighbour. The end of the state, I repeat, is not to make rational beings into brute beasts and machines. It is to enable their bodies and their minds to function safely. It is to lead men to live by, and to exercise, a free reason; that they may not waste their strength in hatred, anger and guile, nor act unfairly toward one another.

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