UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 7 - UPSC MCQ

According to the passage:

• An assumption is a thing that is accepted as true or as certain to happen, without proof.
• In the entire passage, the author is trying to understand the effects of the absence of atmosphere.
• The author has without stating accepted that atmosphere exists.
• The other options are directly given in the passage.

After two years of continuous use without any maintenance, the mower started to work less efficiently. Parts needed to be replaced, and its performance dropped significantly. This shows the importance of regular upkeep to prevent loss of value and efficiency in any asset.

It is mentioned in the 1^st line of the passage ‘​I used it over and over again without doing anything to maintain it. So, The man had not maintained it properly when it was needed.

From statement I and II:

Possible options are Monday, Tuesday, Wednesday, Thursday and Friday.

Possible options are Friday, Saturday and Sunday.

Thus, we get that Rahul will go for a picnic on Friday.

Hence, Statement I and II together are sufficient to answer the question.

From statement II and III:

Possible options are Friday, Saturday and Sunday.

Possible options are Monday, Tuesday, Wednesday, Thursday and Friday.

Thus, we get that Rahul will go for a picnic on Friday.

Therefore, Statement II and III together are sufficient to answer the question.

From statement I and III:

Possible options are Monday, Tuesday, Wednesday, Thursday and Friday.

Possible options are Monday, Tuesday, Wednesday, Thursday and Friday.

Therefore, Statement I and III together are not sufficient to answer the question.

Total salary per month
From the pie chart,
Budget for Electricity
So, the estimated expenses for Electricity
Budget for call bill
So, the estimated expenses for call bill
Therefore, the difference in the amount estimated by the family on Electricity and Call bill .

From the given information:

1) K is the son-in-law of P.

2) M is the daughter of N.

3) L and K are married.

4) N is the father of  L.

Therefore, P is the mother of L.

The passage clearly states that the Lahaul-Spiti valley remained cut off for nearly six months each year because the Rohtang Pass was snow-bound between November and April. This heavy snow blocked vehicular movement, making the valley inaccessible during that period.

1) Rakesh knows 3 different routes from Agra to Delhi

2) Rakesh knows 5 routes from Delhi to Chandigarh

3) Rakesh knows 4 different routes from Chandigarh to Kashmir.

So, the total number of routes he knows = 3 × 5 × 4 = 60.

Solution:

1. Let the total number of workers be N.

2. We know there are 7 technicians, each earning an average of Rs. 15000. So the sum of salaries for those 7 technicians is
   7 × 15000 = 105000.

3. The remaining workers are (N – 7) in number. Their average salary is Rs. 9000, so the sum of salaries for those (N – 7) workers is
   (N – 7) × 9000 = 9000N – 63000.

4. Therefore, the combined total of all salaries in the workshop is:
   105000 + (9000N – 63000) = 9000N + 42000.

5. The overall average salary is given as Rs. 12000. By definition of average,
   (total of all salaries) ÷ (total number of workers N) = 12000.
   So:
   (9000N + 42000) / N = 12000.

6. Multiply both sides by N:
   9000N + 42000 = 12000N.

7. Rearrange to isolate N:
   42000 = 12000N – 9000N
   42000 = 3000N
   N = 42000 / 3000
   N = 14.

8. Thus, the total number of workers in the workshop is 14.

Answer: (B) 14

Option (A) is incorrect as the ecosystem becomes static and not flowing water ecosystem.

Option (B) is correct as seen from the last paragraph. It states dams across rivers decrease the population of species that require running water.

Option (C) is incorrect as eutrophication is a process resulting from some particular pollution types as seen from paragraph 1 and 2 but dams are not a direct cause of pollution, according to the passage, 

5 ___ 3 ___ 8 ___ 4 ___ 2 = 21

Solution:

1. We need four operations—one between each pair of numbers—so that when we evaluate using the usual order of operations (multiply and divide before add and subtract), the final result is 21.

2. Try the combination:

   • Between 5 and 3: “×”

   • Between 3 and 8: “+”

   • Between 8 and 4: “−”

   • Between 4 and 2: “÷”

3. Write out the expression:

   5 × 3 + 8 − 4 ÷ 2

4. Evaluate step by step:

   • First, handle multiplication and division from left to right:

     • 5 × 3 = 15

     • 4 ÷ 2 = 2

   • Now the expression becomes:

     15 + 8 − 2

   • Next, perform addition and subtraction from left to right:

     • 15 + 8 = 23

     • 23 − 2 = 21

5. The result is indeed 21. Therefore, the correct set of symbols to fill in the blanks is:

5 × 3 + 8 − 4 ÷ 2 = 21

Both options (A) and (C) are correct as seen from the last paragraph. 

The passage states that ICMR guidelines are being violated often and cases of rampant exploitation of surrogate mothers are being witnessed. 

Option (B) is not correct since the passage states that surrogacy is socially acceptable in India.

• The authors in this passage are giving the reasons why the concerns of intensely deprived people are not getting adequate attention. As such the correct assumption is an option (C) that says their deprivations are not getting enough voice. This is because the relatively privileged section’s voice is getting more attention. Hence their issues get priority over that of the issues of the intensely deprived people.
• Option (A) is not correct as nothing is mentioned about protests in the passage.
• Option (B) is incorrect as the elite class is not discussed in the passage. It explicitly mentions “who are not really rich but whose income and living standards place them well above the median Indian”.
• Option (D) is again incorrect as the passage talks of ignorance of concerns of intensely deprived and not all people.

The mirror image of the question figure will be  

Let the length of the train be meters. 

Speed of the train km/hr meters/sec meters/sec

Therefore, distance covered in sec metres

Given that length of a train and that of a platform are equal.

metres

The passage says that despite the opportunities offered by political democracy, India has a multitude of problems. This may tempt people to reduce the long commitment to democracy. Thus, the assumption is that India has shown a commitment to democracy in the past. So, option (B) is correct.

Option (A) is incorrect as the passage mentions that so much good has already come to the country and the problems are because opportunities offered by democracy are not utilized. It is nowhere mentioned that the problems are due to adherence to democracy.

Option (C) is also incorrect as the passage says that the opportunities have not been utilized effectively and thus the functioning is not flawless.

Option (D) is also incorrect as the passage explicitly mentions “there may well be a temptation – but not a serious reason – for India to give up or reduce its long commitment to democracy”.

From the passage, the following can be inferred:

• A: It indicates that speech can be punished if it incites mobs.
• C: It suggests advocating violence is not sedition without incitement to imminent violence.
• D: It implies sedition charges depend on the credibility of violence threats.

However, option B cannot be inferred logically. It states that a speech undermining the Constitution but not leading to violence is not seditious. The passage does not support this claim, as it specifically focuses on the conditions under which speech is considered seditious, namely incitement to violence or public disorder.

The diagram for the given problem is:

Thus, ‘West’ will become South-West.

S1: The plant is coded as Red and Red is coded as Green.

As we know the color of plant is Green, but in this statement code for Green is not given.

So, S1 alone is not sufficient to know the code for the color of plant.

S2: Green is coded as Yellow and Yellow is coded as Rose.

We know the color of Plant is Green, and here Green is coded as Yellow.

So, S2 alone is sufficient to know the code for the color of plant i.e. Yellow.

1. Translate each “divided by” statement into the idea “N plus 2 is a multiple of that divisor.”

   • If N divided by 3 leaves remainder 1, then N + 2 is exactly divisible by 3 (because 3 − 1 = 2).

   • If N divided by 4 leaves remainder 2, then N + 2 is exactly divisible by 4 (because 4 − 2 = 2).

   • If N divided by 5 leaves remainder 3, then N + 2 is exactly divisible by 5 (because 5 − 3 = 2).

   • If N divided by 6 leaves remainder 4, then N + 2 is exactly divisible by 6 (because 6 − 4 = 2).

   • If N divided by 8 leaves remainder 6, then N + 2 is exactly divisible by 8 (because 8 − 6 = 2).

   In every case, “divisor minus remainder” equals 2. That means N + 2 must be a common multiple of 3, 4, 5, 6, and 8.

2. Find the least common multiple of 3, 4, 5, 6, and 8.

   • List prime-factor insights or simply recall that:
     • 3 and 5 are primes.
     • 4 = 2 × 2, 6 = 2 × 3, 8 = 2 × 2 × 2.

   • The highest power of 2 among these is 8 (which is 2 × 2 × 2).

   • We also need factors of 3 and 5.

   • Putting these together, the smallest number that is simultaneously divisible by 3, 4, 5, 6, and 8 is 120.

   So N + 2 must be a multiple of 120. In other words:
   N + 2 = 120 × k,  where k is a positive integer.
    

3. Rearrange to express N, then look for the largest three-digit value.
   From “N + 2 = 120 × k,” we get N = 120 × k − 2.
   We want N to remain a three-digit number (that is, between 100 and 999).
   Solve mentally: if you try k = 8, then
   N = 120 × 8 − 2 = 960 − 2 = 958,

4. If you bump k up to 9, then

   N = 120 × 9 − 2 = 1080 − 2 = 1078,

   which is too large (it’s a four-digit number).

5. Therefore, the largest integer k that keeps N three-digit is 8, and s

   N = 958

    

Calculations :

Three digit numbers start from 100 up to 999

Total three digit numbers = 900

Four digit number start from 1000 up to 9999

Total four digit numbers =  9000

Difference of four digit number and three digit numbers = 9000 - 900

⇒ 8100

x=

⇒ x = 1.232323...      ----(1)

⇒ 100x = 123.232323...      ----(2)      [Eq 1 × 100]

Substracting eq (1) from (2), we get

99x = 122

⇒ x =

∴ ? =

Given:

(43⁴³ + 29⁴³) is divided by 72

Reminder = x

(43⁴³ + 29⁴³) is divided by 72

43 is odd number

⇒ (43⁴³ + 29⁴³) is divisible by (43 + 29)

⇒ (43⁴³ + 29⁴³) is divisible by 72

⇒ x = 0

Now, 3(2x + 9) = 3 × (2 × 0 + 9) = 27

27 = 5 × 5 + 2      ----(1)

Dividend = Divisor × Quotient + Remainder      ----(2)

On comparing (1) with (2), we get

Remainder = 2

∴ The remainder when 3(2x + 9) is divided by 5 is 2.

Given :

Numbers are between 1 and 100 and are prime numbers. 

All numbers have digit 5 in them.

Numbers from 1 to 100 that contain one digit as 5 are

⇒ 5, 15, 25, 35, 45, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 65, 75, 85 and 95

Prime numbers among these numbers

⇒ 5, 53 and 59

So there are three numbers of this type.

∴ The correct answer will be option number 3.

Given:

Number is divisible by 6

Number = 5723698X

For the number to be divisible by 2

Values of X = 2, 4, 6, 8      ----(1)

For the number to be divisible by 3

Sum of digits = (5 + 7 + 2 + 3 + 6 + 9 + 8 + X)

⇒ Sum of digits = 40 + X

Sum of digits must be divisible by 3

⇒ Values of X = 2, 5, 8      ----(2)

From (1) and (2),

Values of X = 2, 8

∴ The number of values possible for X is 2.

S1: The perimeter of the square is 64 m.

As we know the perimeter of the square = 4a

Thus, we can calculate the side of the square using this statement.

⇒ 4a = 64

⇒ a = 16 m

Area of the square = a²

⇒ 16² = 256 m²

So, S1 alone is sufficient to answer the question.

S2: The side of the square is 8 m.

As the area of the square = a²

By using this statement we can calculate the area of the square.

⇒ a² = 8² = 64 m².

So, S2 alone is also sufficient to answer the question.