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UPSC CSE Prelims Paper 2 Practice Test - 9 - UPSC MCQ


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30 Questions MCQ Test CSAT Preparation - UPSC CSE Prelims Paper 2 Practice Test - 9

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UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 1

The sum of the factors of a number is 124. What is the number?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 1

Any number of the form paqbrc will have (a + 1) (b + 1)(c + 1) factors, where p, q, r are prime. (This is a very important idea) 
For any number N of the form paqbrc, the sum of the factors will (1+p1+p2+…+pa)(1+q1+q2+…+qb) (1+r1+r2+…+rc)
Sum of factors of number N is 124. 124 can be factorized as 22 × 31. It can be written as 4 × 31, or 2 × 62 or 1 × 124.
2 cannot be written as (1+p1+p2+…+pa) for any value of p.
4 can be written as (1 + 3)
So, we need to see if 31 can be written in that form.
The interesting bit here is that 31 can be written in two different ways.
= 31= (1+21+22+23+24
= 31= (1+5+52
Or, the number N can be 3×24 or 3×52. Or N can be 48 or 75.
So, more than one such number exists. 

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 2

Read the information given below carefully and answer.

Cyber vulnerabilities within nuclear weapons systems and structures present a whole set of dangers and risks. At best, cyber insecurity in nuclear weapons systems is likely to undermine trust and confidence in military capabilities and in the nuclear weapons infrastructure. At worst, cyber attacks could lead to deliberate misinformation and the inadvertent launch of nuclear weapons.

Q. Which among the following is the most logical, rational and critical inference that can be made from the above passage?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 2

(a) is correct as the passage essentially highlights the risks insecure cyber nuclear systems possess with the best case scenario being loss of trust on the military and worst being the launch of a nuclear weapon which the statement captures essentially.
(b) is incorrect as the passage does not mention all nuclear countries being exposed to risks and hence, it cannot be deduced from the passage.
(c) is incorrect as the statement makes definitive claims - complete nuclear safety and no misuse, without passage confirming the same. Passage says insecure cyber security may lead to misuse but ensuring complete safety cannot be inferred.
(d) is incorrect as the passage does not comment in general about the performance of the world related to cyber security in nuclear systems. Hence, it cannot be inferred from the passage.

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UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 3

Read the information given below carefully and answer.

Because of its accuracy in outlining the Earth‘s subsurface, the seismic-reflection method remains the most important tool in the search for petroleum reserves. In field practice, a subsurface is mapped by arranging a series of wave-train sources, such as small dynamite explosions, in a grid pattern. As each source is activated, it generates a wave train that moves downward at a speed determined uniquely by the rock‘s elastic characteristics. As rock interfaces are crossed, the elastic characteristics encountered generally change abruptly, which causes part of the energy to be reflected back to the surface, where it is recorded by seismic instruments. The seismic records must be processed to correct for positional differences between the source and the receiver, for unrelated wave trains, and for multiple reflections from the rock interfaces. Then the data acquired at each of the specific source locations are combined to generate a physical profile of the subsurface, which can eventually be used to select targets for drilling.

Q. The passage is primarily concerned with

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 4

A professor keeps data on students tabulated by performance and sex of the student. The data is kept on computer disk, but unfortunately score of it is lost, because of virus. Only following could be recovered.

An expert committee was formed, which decided that following facts were self-evident.
1. 1/3rd of the male students were average.
2. Half the students were either excellent or good 
3. 40% of the students were females.

Q. How many students are both male and good?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 4

Male under the category of good is 22

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 5

A professor keeps data on students tabulated by performance and sex of the student. The data is kept on computer disk, but unfortunately score of it is lost, because of virus. Only following could be recovered.

An expert committee was formed, which decided that following facts were self-evident.
1. 1/3rd of the male students were average.
2. Half the students were either excellent or good 
3. 40% of the students were females.

Q. How many students were both female and excellent?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 5

Female under excellent category is 0

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 6

Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 6

Lowest 4-digit number is 1000.
LCM of 3, 4 and 5 = |3, 4, 5 
As we saw above no two numbers are divisible by common factor so their LCM is their 
product.
LCM of 3, 4 and 5 = 3 x 4 x 5 = 60.
Dividing 1000 by 60, we get the remainder 40.
Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 - 40) = 1020.
Now, add the remainder 2 that's required. Thus, the answer is (1020 + 2 = 1022). 

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 7

Read the information given below carefully and answer.

Culture was not incorporated the Millennium Development Goals or their indicators, alleging numerous difficulties to measure its impact on development. However, one of the reasons why the goals set in the year 2000 were not met is probably the failure to explicitly recognize the role of culture in economic growth, resource management, conflict resolution, the approach to social inequities, or the reaffirmation of identities. Nor was it understood at the time that culture is an extremely effective vector for the transmission of knowledge and the basis for innovation and creation, including scientific breakthroughs. It was ignored, perhaps, that there is no one single development recipe, as cultures need to determine their development models, and not the other way around.

Q. Which of the following is the most rational inference from the above passage?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 7

(a) is incorrect as the passage explicitly mentions culture as an extremely effective vector in knowledge transmission etc but does not say anything about it being the most important tool for development.
(b) is incorrect as the passage highlights how culture was not effectively used while formulating the MDGs but does not highlight the need of alternative development recipes in the present scenario.
(c) is incorrect as the passage mentions non usage of culture as one of the reasons MDG goals not being met and not the only reason why.
(d) is correct as the passage explicitly states how the failure to recognize the role of culture was one of the most important reasons of failure to achieve MDGs which were set in the year 2000.

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 8

The ratio of a two-digit natural number to a number formed by reversing its digits is 4:7. Which of the following is the sum of all the numbers of all such pairs?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 8

Let the two digit natural number be 10x + y.
On reversing = 10y + x.
Therefore 10x+y : 10y+x = 4:7

=> x:y = 1:2
Such numbers are 12,21,24,42,36,63,48,84. Their sum is 330.
Directions (6-8)

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 9

There are 15 students in art class and 37 students in dance class and 12 students are enrolled in both activities. When two classes meet at different hours find the number of students, who are either in art class or in dance class.

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 9

Let A be the set of students in art class and B be the set of students in dance class.)
n(A) =15, n(B) = 37, n (A ∩ B) = 12
When 2 classes meet at different hours
n (A ∪ B) = n(A) + n(B) - n (A ∩ B)
= 15 + 37 - 12
= 52 - 12
= 40

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 10

Read the information given below carefully and answer.

Digital technology has transformed the world we live in - disrupting entire industries and changing the social landscape. childhood is no exception. One in three internet users worldwide is a child, and young people are now the most connected of all age groups. From photos posted online to medical records stored in the cloud, many children have a digital footprint before they can even walk or talk. Digital technology can be a game changer for disadvantaged children, offering them new opportunities to learn, socialize and make their voices heard - or it can be yet another dividing line. Millions of children are left out of an increasingly connected world.

Q. Which of the following is most rational inference from the above passage?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 10

(a) is incorrect as the passage fears the creation of a dividing line between the haves and have-nots and does not promise an eventual spread of technology to the marginalized.
(b) is correct as the passage highlights the benefits of technology for children and also expresses concern over millions being marginalized due to lack of access to it. Hence, the statement can be inferred from the passage.
(c) is incorrect as the passage does not talk about policymakers’ role in providing access to the children. Hence, it cannot be inferred from the passage.
(d) is incorrect as the statement talks about disadvantages of technology which goes beyond the scope of the passage.

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 11

Rajeev put his timepiece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M.?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 11


At 9.15 P.M., the minute hand will point towards west.

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 12

(i) Seven types of paints A, B, C, D, E, F and G of different colours red, green, yellow, black, blue, white and orange are filled in different tins P, Q, R, S, T, U and V.
(ii) The order of the types of paints, colours and the tins is not necessarily in the same order.
(iii) Paint B is not kept in tins Q or R and is white in colour.
(iv) Paint D is kept in tin V and is not blue or  red. 
(v) F is kept in tin P and is green in colour.
(vi) Paints C and E are kept in tins T and U respectively and are black and yellow in colour respectively.
(vi) G is not blue in colour.
(vii) Red paint is not kept in tin Q.
Which of the following paints is orange in colour?

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 13

(i) Seven types of paints A, B, C, D, E, F and G of different colours red, green, yellow, black, blue, white and orange are filled in different tins P, Q, R, S, T, U and V.
(ii) The order of the types of paints, colours and the tins is not necessarily in the same order.
(iii) Paint B is not kept in tins Q or R and is white in colour.
(iv) Paint D is kept in tin V and is not blue or  red. 
(v) F is kept in tin P and is green in colour.
(vi) Paints C and E are kept in tins T and U respectively and are black and yellow in colour respectively.
(vi) G is not blue in colour.
(vii) Red paint is not kept in tin Q.

Paint B is kept in which tin?

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 14

Read the information given below carefully and answer the following question.

Almost a decade after the onset of the global financial crisis, national debt in advanced economies remains near its highest level since World War II, averaging 104 percent of GDP. Without measures either to cut spending or increase revenue, the situation will only get worse. As central banks abandon the extraordinary monetary measures, they adopted to battle the crisis, interest rates will inevitably rise from historic lows. That means interest payments will eat up a growing share of government spending, leaving less money to deliver public services or take steps to ensure long term economic growth, such as investing in infrastructure and education. Servicing debt will become a major burden.

This passage relates to

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 14

(a) is incorrect as rising interest payments is one of the implications of rising public debt and the passage only deals with advanced economies and not the whole world.
(b) is incorrect as the passage does not talk about developing countries.
(c) is incorrect as the passage mentions poor public spending as an implication of high national debt in advanced economies. It does not relate only to poor public spending in advanced economies.
(d) is correct as the passage essentially highlights the problems created by high national debts in advanced economies. This is the best option among the options given. Hence, option (d) is the correct answer.

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 15

Direction: Five girls are sitting on a bench to be photographed. Sanju is to the left of Rashmi and to the right of Bipasha. Manu is to the right of Rashmi. Ritika is between Rashmi and Manu.

Who is sitting immediate right to Ritika?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 15

According to question the arrangement will be, 

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 16

Direction: Five girls are sitting on a bench to be photographed. Sanju is to the left of Rashmi and to the right of Bipasha. Manu is to the right of Rashmi. Ritika is between Rashmi and Manu.

Who is in the middle of the photograph?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 16

According to question the arrangement will be, 

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 17

In a certain code STUDYING is written as SGNIYDUT. How will SCALING be written in that code?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 17

The first letter is not change remaining letters are written in reverse order.

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 18

Read the information given below carefully and answer the following question.

The world faces a looming water disaster, one that could dry out our food systems. Even as climate change disrupts rainfall patterns, global water demand is projected to increase by 55% by 2050. While agriculture is not the only driver of increased water demand, the world's growing population will need more food, putting further strain on already limited water resources - resources that do not enter into the market value of the food on our plates. This scarcity of water can in turn cause shortage of food supply in the world.

Q. Which of the following is most rational inference from the above passage?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 18

(a) is incorrect as the passage says nothing about controlling population. Population growth is presented as more of a natural phenomenon.
(b) is correct as the passage first highlights the water scarcity issue and its link to food systems. Then it talks about how rising population and agricultural demand to some extent put stress on water resources which in turn can cause food shortage.
(c) is incorrect as it goes to the extent of predicting doom for the world which cannot be inferred from the passage.
(d) is incorrect as the passage does not suggest the need for charging money for water usage. Hence, it cannot be inferred from the passage.

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 19

All the page numbers in a book are added, beginning from page 1. However, a page number was added twice by mistake. If the sum obtained was 850, which page number must have been added twice?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 19

Let the total number of pages in the book be ‘n’.
Let page number ‘x’ be repeated.

⇒ x + n(n+1) /2 = 850
So,  n(n+1)/2 ≤ 850
⇒ n2 + n ≤ 1700
The greatest possible value of n = 40.
Now, for n = 40,  n(n+1)/2 = 40×41/2 = 820
So, x = 30.

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 20

Two trains, travelling at 15 and 30 kms per hour, head directly towards each other. They begin at a distance of 60 kms from each other. How far apart are they (in kms) one minute before they collide?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 20

The trains will be colliding after a time which is given by:

After this time of 80 minutes, train (1) has covered:

whereas, train (2) has covered

After 79 minutes, distance covered by the first train (Dl)

After 79 minutes, distance covered by the second train (D2)

So, the separation between the two trains:
= 60 - (D1 + D2)

 

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 21

Read the following 1 Passage and answer the items that follow. Your answers to these items should be based on the passages only.

Recently some scientists have concluded that meteorites found on Earth and long believed to have a Martian origin might actually have been blasted free of Mars’s gravity by the impact on Mars of other meteorites. This conclusion has led to another question whether meteorite impacts on Earth have similarly driven rocks from this planet to Mars. According to astronomer S. A. Phinney, kicking a rock hard enough to free it from Earth’s gravity would require a meteorite capable of making a crater more than 60 miles across. Moreover, even if Earth rocks were freed by meteorite impact, Mars’s orbit is much larger than Earth, So Phinney estimates that the probability of these rocks hitting Mars is about one-tenth as great as that of Mars’s rocks hitting Earth. To demonstrate this estimate, Phinney used a computer to calculate where 1,000 hypothetical particles would go if ejected from Earth in random directions. He found that 17 of the 1,000 particles would hit Mars.

Q. The Passage is primarily concerned with

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 22

 

Read the following 1 Passage and answer the items that follow. Your answers to these items should be based on the passages only.

Recently some scientists have concluded that meteorites found on Earth and long believed to have a Martian origin might actually have been blasted free of Mars’s gravity by the impact on Mars of other meteorites. This conclusion has led to another question whether meteorite impacts on Earth have similarly driven rocks from this planet to Mars. According to astronomer S. A. Phinney, kicking a rock hard enough to free it from Earth’s gravity would require a meteorite capable of making a crater more than 60 miles across. Moreover, even if Earth rocks were freed by meteorite impact, Mars’s orbit is much larger than Earth, So Phinney estimates that the probability of these rocks hitting Mars is about one-tenth as great as that of Mars’s rocks hitting Earth. To demonstrate this estimate, Phinney used a computer to calculate where 1,000 hypothetical particles would go if ejected from Earth in random directions. He found that 17 of the 1,000 particles would hit Mars.

Q. According to the passage, which of the following events may have initiated the process that led to the presence on Earth of meteorites from Mars?

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 23

If × stands for 'addition', ÷ stands for 'subtraction', + stands for 'multiplication' and - stands for 'division', then 20 × 8 ÷ 8 - 4 + 2 = ? 

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 23

By the Given data, we have the expression: 
⇒ 20 + 8 - 8 ÷ 4 × 2  
⇒ 20 + 8 - 2 × 2  
⇒ 28 - 4 
⇒ 24

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 24

Each question given below is followed by two statements I and II Mark your answer as:
(a) If the question can be answered by using one of the statements alone, but cannot be answered by using the statement alone.
(b) if the question can be answered by using either of the statements alone.
(c) if the question can be answered by using both the statements together, but cannot be answered by using either of the statements alone.
(d) If the question cannot be answered even by using both the statements together.

Q. Two of the sides of a triangle are 6 cm and 8 cm. What is the length of the third side?
I. Area of the triangle is 24 cm2.
II. It is a right angled triangle.

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 24


Area of the triangle = (1/2) ab sinθ=(1/2) x 6x 8 x sinθ = 24
⇒ sin θ = 1
∴ θ= 90° ⇒ Right angled triangle.

So, the third side = √(62+ 82) = 10.
Using statement ІІ: Although the triangle is a right angled triangle, still we cannot calculate the length of the third side because we do not know whether the given sides are base, perpendicular or hypotenuse.
Hence, only statement І alone is sufficient to answer the question.

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 25

Each question given below is followed by two statements I and II Mark your answer as:
(a) If the question can be answered by using one of the statements alone, but cannot be answered by using the statement alone.
(b) if the question can be answered by using either of the statements alone.
(c) if the question can be answered by using both the statements together, but cannot be answered by using either of the statements alone.
(d) If the question cannot be answered even by using both the statements together.

Q. If ‘X’ is an integer such that 10 < X < 100, what is the value of ‘X’?
I. One of the digits of ‘X’ is 4 more than the other, and the sum of its digits is 10.
II. X > 60.

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 25

Let X = pq = 10p + q.
Using statement І:
Case 1:
p + q = 10 and p = q + 4,
Solving, we get, q = 3 and p = 7, i.e. X = 73.
Case 2:
p + q = 10 and q = p + 4,
Solving, we get, p = 3 and q = 7, i.e. X = 37.
So, ‘X’ is either 73 or 37.
Using statement ІІ:
X > 60. We can see that obviously statement II alone is not sufficient.
Combining the information given in both the statements together, we get a unique value of ‘X’, i.e. X = 73.
Hence, by combining both statement І and statement ІІ together, we can answer the question.

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 26

Each question given below is followed by two statements I and II Mark your answer as:
(a) If the question can be answered by using one of the statements alone, but cannot be answered by using the statement alone.
(b) if the question can be answered by using either of the statements alone.
(c) if the question can be answered by using both the statements together, but cannot be answered by using either of the statements alone.
(d) If the question cannot be answered even by using both the statements together.

Q. The average salary for a month of the employees of an office is Rs 50,000. What is the number of employees (X) in the office?
І. Exclusion of the highest and the lowest earning members from the office does not change the average monthly salary of the employees.
ІІ. 100 < X< 1000.

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 26

Using statement І: No information about the number of employees in the office is given.
Using statement ІІ: The condition 100 < X < 1000 does not give any information about the exact number of employees in the office.
Moreover, we cannot answer the question even by combining both the statements together.

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 27

Shalini bought a laptop for Rs. X and sold it to Rahul at a profit of 40%. Rahul used it for some time and then sold it to Sam at a loss of 20%, what would have been Rahul’s profit percent had he bought the laptop directly?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 27

Let Shalini buy at Rs.100 and sells to Rahul at Rs.140. Rahul sells to Sam at 20% loss, therefore at Rs.112. If Rahul had bought it directly, then his profit would have been (112-100) = 12%

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 28

Sonu is brother of Neeraj. Neeraj is father of Rocky. Rocky is son of Puja. In term of relationship what is Sonu of Puja?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 28

Sonu is brother of Neeraj and Neeraj is father of Rocky. So, Sonu is uncle of Rocky. Now, Puja is mother of Rocky, So, Sonu is brother-in-law of Puja.

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 29

Find the next term in the series 101, 102, 104, 107 .... 

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 29

In this series, 1 is added to the first number, 2 is added to the second number, 3 is added to the third number and so on.
101 + 1 = 102
102 + 2 = 104
104 + 3 = 107
107 + 4 = 111
Hence, option (d) is the correct answer.

UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 30

There are 4 orange balls, 5 blue balls and 3 white balls are there in a bag. Two balls are selected at random. What is the probability of getting both the balls being blue?

Detailed Solution for UPSC CSE Prelims Paper 2 Practice Test - 9 - Question 30

Getting both blue 5/12 * 4/11 = 5/33

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