UPSC CSE Prelims Paper 2 (CSAT) Mock Test - 9 - UPSC MCQ

The series follows the below given pattern:

3² + 3 = 12

4³ + 4 = 68

5² + 5 = 30

6³ + 6 = 222

7² + 7 = 56

∴ The value of ? is 56

Using Options:

The pattern is following in one option: m u k al / m u k a l / m u k a l

Therefore, ‘ulklua’ is the correct answer.

According to the passage:

• The first and the fourth options are given directly in the passage.
• The passage talks about many biological phenomena whose causes are yet to found.
• Therefore, the third option is perfectly true.
• The second option is true but does not sync with the main context of the passage.

Given:
Duration of the journey by bus = 3 hours 25 minutes
Duration of the journey by train = 4 hours 15 minutes
Duration of the journey by rickshaw = 40 minutes

First, add the three durations:
– Bus leg: 3 hours 25 minutes
– Train leg: 4 hours 15 minutes
– Rickshaw leg: 0 hours 40 minutes

Add hours separately and minutes separately:
• Hours: 3 + 4 + 0 = 7 hours
• Minutes: 25 + 15 + 40 = 80 minutes

Since 80 minutes = 1 hour 20 minutes, convert 80 minutes into hours and minutes:
80 minutes = 60 minutes + 20 minutes = 1 hour 20 minutes

So total time = 7 hours + (1 hour 20 minutes) = 8 hours 20 minutes

If the journey started at 6 a.m., then adding 8 hours 20 minutes gives:
6 a.m. + 8 hours = 2 p.m.
2 p.m. + 20 minutes = 2 : 20 p.m.

Answer: 2 : 20 p.m.

In the passage, the author has talked about the balanced need for mechanization.

This is based upon the assumption that excess of anything is bad and there is a need to set anything in the right time and context, along with other required changes.

Let's look at other options too:

• Option (B) is incorrect as to save workers from economic exploitation, skill enhancement is not the only thing.
• Option (C) is mentioned in the passage and is not an assumption.
• Option (D) is irrelevant.

Thus, the implicit assumption is that mechanization or automation, like everything else, has benefits in the right context and in the right amount.

Statement 1 is saying that numbers are consecutive,

From statement 2,

We can conclude that if ‘Z’ is an odd number so ‘Y’ and ‘U’ must be even numbers.

∴ Both statements 1 and 2 together are sufficient.

Option (A) is incorrect as the statement makes a comparison only for those batsmen who have played a minimum of 10 innings.

Options (B) and (C) are mere opinions and not valid conclusions.

Option (D) is valid as MS Dhoni has played at least 10 innings according to the question.

First, find each person’s one‐day work rate:
• A does 1/10 of the work in one day.
• B does 1/12 of the work in one day.
• C does 1/15 of the work in one day.

Add these rates to get the combined one‐day rate:
1/10 + 1/12 + 1/15
= (6/60) + (5/60) + (4/60) [using a common denominator of 60]
= (6 + 5 + 4) / 60
= 15/60
= 1/4 of the work per day.

That means together they complete one‐quarter of the work in a single day. Therefore, to finish the entire job (1 whole work), they need:
1 ÷ (1/4) = 4 days.

Answer: 4 days.

Given the total population of a village

are females

Therefore, female population

Male population

Given of males are uneducated.

Educated males

of females are uneducated it means of them are educated.

Therefore, educated females

Total educated persons  

Required per cent

Let us call the sets of citizens playing cricket, badminton, and football “C,” “B,” and “F,” respectively.

We are told that no one plays both cricket and badminton. In other words, the overlap between “C” and “B” is empty—there are zero people who play cricket and badminton together.

Because someone who plays all three sports would have to play both cricket and badminton, and we know no single person plays cricket and badminton together, it follows that there cannot be anyone who plays all three.

Therefore, the number of citizens who play all three games is 0.

From the passage, it is clear that the correct answer is an option (B). Passage directly states that “Age, physical fitness, genetics, but not gender of a new entrant has a bearing on the blood oxygen level.”

Statement 1 is correct. The correctness of this statement is validated in the fourth sentence of the passage.

Statement 2 is incorrect. Acclimatization is a process which increases exercise capacity.

Statement 3 is correct. From the passage, it’s clear that adopted ethnic groups may have lower heart rate and highest exercise rate. 

The passage emphasises on the prevalence of corruption in India and its harmful impacts. It states that the absence of good systems of accountability is a cause of corruption in India. So, a valid and logical assumption is that there is a poor system of accountability in India. Thus, option (B) is correct. 

Option (A) is incorrect as in the passage nothing is discussed about the trend of corruption, i.e., corruption is increasing or decreasing. 

Option (C) is incorrect as nothing is talked about the financial loss to the country in the passage. 

Option (D) is incorrect, as the passage does not talk about how to ensure accountability and only talks of the prevailing problem.

Start at (0, 0).

1. Run north 4 km → (0, 4)

2. Turn left (to face west) and run 5 km → (–5, 4)

3. Turn left (to face south) and run 5 km → (–5, –1)

4. Turn left (to face east) and run 6 km → (1, –1)

5. Turn left (to face north) and run 1 km → (1, 0)

You end at (1, 0), while you started at (0, 0). To go from (1, 0) back to (0, 0) you must run west.

Given, 

Marked price = Rs. 160

Selling price = Rs. 122.40

After 10% discount selling price Rs. 144

Let the other discount

After discount selling price

Rs.

Owning some natural resources will not create liability to not waste resources, according to the passage. It will help to fix accountability as per the second line of the passage. Therefore, option (A) is incorrect, while option (B) is correct. 

Option (C) in itself is a correct statement but it is not a corollary to the given passage, as the passage does not talk of sustainable development. 

Option (D) too might be seen as a correct statement but option (B) is more logical. It is so because the given passage stresses the “tragedy of commons” as a result of nobody owning it.

Here is the same calculation written in plain text (no LaTeX or KaTeX):

Production of A-type cycles in 1997 = 200
Production of A-type cycles in 1999 = 180

First, find how much the production decreased by:
200 − 180 = 20

Next, to get the percentage decrease relative to the 1997 figure (200), divide the decrease (20) by the original amount (200) and then multiply by 100:
(20 ÷ 200) × 100 = (0.1) × 100 = 10%

So, the required percentage decrease is 10 %.

He is 6 km away from the starting point.

25 + 27 = 52

23 + 30 = 53

33 + 21 = 54

Therefore, 

? + 36 = 55

? = 55 – 36

? = 19

Given:

Total monthly income = Rs. x

Money spent on food = 25%

Money left after expenditure = Rs. 5400

Total monthly income = Rs. x

Money spent on food = 25% of x

Money left = (100 - 25)% of x 

⇒ Money left = 75% of x

Amount spent on movies = 10% of 75% of x

⇒ Amount left with the person = (100 - 10)% of 75% of x

⇒ Amount left with the person = 90% of 75% of x 

⇒  Amount left with the person = × × x = x

Money left after expenditure = Rs. 5400

⇒ x = 5400

⇒ x = 5400 ×

⇒ x = Rs. 8000

∴ The total monthly income of the person is Rs. 8000.

Let us note the following:

An assumption is a fact that is accepted without any proof.

It cannot be deduced directly from the passage.

The author is trying to understand the effects if borders never separated countries.

Thus the author has accepted without proof that borders separate countries. Hence, the third option is the correct assumption.

The first and second options are given directly in the passage. Hence, these cannot be assumptions.

The fourth option sounds more like a random underived conclusion. Hence, the fourth option is also not the correct assumption.

Given :

A man is climbing a mountain through a rope, wherein every attempt he steps up by 7 feet and slides back 2 feet

Man's step up in every attempt = 7 - 2

⇒ 5 feet

He took 29 attempts to reach the top 

So the total height = 28 × 5 + 7 (up to 28 attempts he steps up 5 feet for each attempt and in the last attempt he will step up 7 feet as he will be at the top)

⇒ 140 + 7

⇒ 147 feet

Total number of students = 40

Tamil speaking students = 28

Telugu speaking students = 30

Therefore, students who speak both = (28 + 30) – 40= 18

Representing this by Venn diagram:

Therefore, people speaking only Tamil = 10

Let T be the percent who speak Tamil, Te the percent who speak Telugu, and N the percent who speak neither. We know:

• T = 63
• Te = 45
• N = 32

First, the percent who speak at least one of the two languages is 100 – N = 100 – 32 = 68.

But by inclusion-exclusion,
(percent Tamil) + (percent Telugu) – (percent both) = (percent at least one).

So
63 + 45 – (percent both) = 68.

That means
63 + 45 = 108,
108 – (percent both) = 68,
percent both = 108 – 68 = 40.

Hence, 40% of the group can speak both languages.

Given:

Percentage of student's marks when he fails by 13 marks = 35%

Percentage of another student's marks when he gets 37 marks more = 60%

Let the maximum marks of exam be x.

Percentage of student's marks when he fails by 13 marks = 35%

⇒ Passing marks of student = 35% of x + 13      ----(1)

Percentage of another student's marks when he gets 37 marks more = 60%

⇒ Passing marks of another student = 60% of x - 37      ----(2)

Equating (1) and (2), we get

35% of x + 13 = 60% of x - 37

⇒ (60 - 35)% of x = (37 + 13)

⇒ 25% of x = 50

⇒ x = 50 ×

⇒ x = 200

∴ The maximum marks of exam is 200.

In option 2, circle with a cross and square are adjacent to each other which cannot be happened as they both are opposite to each other according to the question figure.

Given:

MN is the mirror and the mirror image will form upward.

Let us note the following:

An assumption is a fact that is accepted without any proof.

It cannot be deduced from the passage.

The first, third, and fourth options are given directly in the passage.

Thus, these cannot be assumptions.

The author is trying to understand if living up to 200 years is possible.

This implies that the author has accepted that human beings cannot live up to 200 years.

Thus, the second option is an assumption made by the author.

Hence, the correct option is B).