All Exams  >   UPSC  >   UPSC Previous Year Question Papers and Video Analysis  >   All Questions

All questions of 2019 for UPSC CSE Exam

The number of times the digit 5 will appear while writing the integers from 1 to 1000 is
  • a)
    269
  • b)
    271
  • c)
    300
  • d)
    302
Correct answer is option 'C'. Can you explain this answer?

Srishti Nair answered
From 1 to 1000, the numbers in which 5 can occur could be of one digit, two digits or three digits.
Case I – If the number is of one digit – 5 will appear only one time, i.e. in 5.
Case II – If the number is of two digits – then
(a) There is only one 5, this can happen in two ways _5 and 5_. In the first case (_5) the blank Place can be filled in 8 ways(as 0 and 5 cannot appear at that place), while in the second case (5_) the blank place can be filled in 9 ways (5 cannot appear there). Total 9 + 8 = 17 ways.
(b) There are two 5s. In this case only ONE possibility.
Case III – If the number is of three digits – then
(a) Only one 5. Then, 5 can occupy three positions. 5 _ _ or _ 5 _ or _ _ 5. In the first case (5_ _), remaining two positions can be filled in 9 way each. So total 9 × 9 = 81 possibilities. In the second case (_ 5 _) first position can be filled in 8 ways and last position can be filled in 9 ways. So total 9 × 8 = 72 possibilities. Same will be true for the third (_ _ 5) case. So total 72 possibilities.
(b) Only two 5. This can be done in three ways 55_ or 5_5 or _55. In first (55_) and second (5_5) case it can be filled in 9 ways each. While in the third case (_55) it can be filled in 8 ways. So total 9 + 9 + 8 = 26 possibilities.
(c) All three digits are 5. This can be done in only ONE way. i.e, 555.
So, total = 1 + 17 + 1 + 81 + 72 + 72 + 26 + 1 = 271.

If $ means 'divided by'; @ means 'multiplied by'; # means 'minus', then the value of 10#5@1$5 is
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    9
Correct answer is option 'D'. Can you explain this answer?

Vibhor Goyal answered
After changing the expression as per the conditions given in the question, we get 10#5@1$5 = 10 - 5 × 1 ÷ 5.
Using BODMAS, we first get 1 / 5 = 1/5. Then we get 5 x 1/5 = 1. Then we get 10 – 1 = 9. Hence, we have answer 9.

Each face of a cube can be painted in black or white colours. In how many different ways can the cube be painted?
  • a)
    9
  • b)
    10
  • c)
    11
  • d)
    12
Correct answer is option 'D'. Can you explain this answer?

The possibilities of each face of a cube painted in black are 6 and the possibilities of each face of a cube painted in white is also 6.
Total number of ways = 6+6 = 12
 or,
possibilities of each face can be black or white is 2!
we know that total number of faces in cube is 6 
So, Total number of ways = 2! +2! + 2! + 2! +2! + 2! = 12

Six students A, B, C, D, E and F appeared in several tests. Either C or F scores the highest. Whenever C scores the highest, then E scores the least. Whenever F scores the highest, B scores the least. In all the tests they got different marks; D scores higher than A, but they are close competitors; A scores higher than B; C scores higher than A.

Q. If B scores the least, the rank of C will be
  • a)
    Second
  • b)
    Second or third
  • c)
    Fourth
  • d)
    Third 
Correct answer is option 'B'. Can you explain this answer?

Suresh Reddy answered
  • Either C or F scores the highest.
  • Whenever C scores the highest, E scores the least.
  • Whenever F scores the highest, B scores the least.
  • D scores higher than A, but they are close competitors.
  • A scores higher than B.
  • C scores higher than A.
Given this information, we can deduce the following:
If B scores the least, it means that B is ranked last (6th) among the students.
The possible rankings for the remaining students can be determined as follows:
  1. Since C scores higher than A, and A scores higher than B, the ranking of C cannot be last (6th).
  2. Since D scores higher than A, and A scores higher than B, the ranking of C cannot be fourth (4th) or fifth (5th).
Therefore, the possible rankings for C are:
Second or third
Thus, the correct answer is:
Second or third

Rakesh and Rajesh together bought 10 balls and 10 rackets. Rakesh spent 1300 and Rajesh spent 1500. If each racket costs three times a ball does, then what is the price of a racket?
  • a)
    Rs. 70
  • b)
    Rs. 90
  • c)
    Rs. 210
  • d)
    Rs. 240
Correct answer is option 'C'. Can you explain this answer?

Alok Verma answered
Let the cost of each ball is Rs. X. Then cost of each racket will be 3X.
Cost of 10 balls = 10X, and cost of 10 rackets = 30X.
So total cost = 10X + 30X = 40X.
By the condition given in question, we have
40X = 1300 + 1500 or 40X = 2800 or X = 70. Price of each racket = Rs. 210.

In a conference, out of a total 100 participants, 70 are Indians. If 60 of the total participants are vegetarian, then which of the following statements is/are correct?
1. At least 30 Indian participants are vegetarian.
2. At least 10 Indian participants are nonvegetarian.
Q. Select the correct answer using the codes given below:
a)1 only
b)2 only
c) Neither 1 nor 2
d) Both 1 and 2
Correct answer is option 'D'. Can you explain this answer?

Meera Singh answered
Let’s try to maximise the number of Indian-Vegetarians. Out of 70 Indians, all vegetarians (i.e, 60) can be Indians. So, at least 10 Indians will be there who will be non-vegetarians. This number can increase depending on the number of vegetarian-Indians.
Let’s try to minimise the number of Indian-Vegetarians. For that we have maximise the number of non-Indian-Vegetarians. Out of 30 Non-Indians, at max all can be vegetarian. Still 30 vegetarians remain which will fall under Indian category. So, at least 30 Indians will be there who will be vegetarians. Hence both statements are correct.

Which year has the same calendar as that of 2009?
  • a)
    2018
  • b)
    2017
  • c)
    2016
  • d)
    2015
Correct answer is option 'D'. Can you explain this answer?

BT Educators answered
To have the same calendar two things should be matched.
First – the first day of the year and
second – the year type i.e., ordinary or leap.
Let the first day of year 2009 is X day. It means first day of 2010 will be X+1 day, as there is one odd day in one ordinary year.
It means first day of 2011 will be X+2 day. (As there is one odd day in one ordinary year)
It means first day of 2012 will be X+3 day. (As there is one odd day in one ordinary year)
It means first day of 2013 will be X+5 day. (As there are TWO odd days in one LEAP year)
It means first day of 2014 will be X+6 day. (As there is one odd day in one ordinary year); and
It means first day of 2015 will be X+7 day. (As there is one odd day in one ordinary year)
After every 7 days, the same day appears. So, the first day of 2015 will be same as 2009.
Since both are ordinary years. We can use the calendar of 2009 in 2015.

Suppose you have sufficient amount of rupee currency in three denominations : Rs. 1, Rs. 10 and Rs. 50. In how many different ways can you pay a bill of Rs. 107?
  • a)
    18
  • b)
    17
  • c)
    16 
  • d)
    19
Correct answer is option 'A'. Can you explain this answer?

Sanvi Kapoor answered
1) 50 + 50 + 1 + 1 + 1 + 1 + 1 + 1 + 1
2) 50 + 10 +10+10+10+10+ 1 + 1 + 1 + 1 + 1 + 1 + 1
3) 50 + 10 + 10+10+10+ (17 *1)     
 ∵17*1 means we use 1 rupees 17 times
4) 50 + 10 + 10 + 10 + 27*1
5) 50 + 10 +10 + 37*1
6) 50 +10 + 47*1
7) 50 + 57*1
8) 107*1
9) 10*10 + 7*1            
here 10*10 mean we use 10 rupees 10 times
10) 10*9 + 17*1
11) 10*8 + 27*1
12) 10*7 + 37*1
13) 10*6 + 47*1
14) 10*5 + 57*1
15) 10*4 + 67*1
16) 10*3 + 77*1
17) 10*2 + 87*1
18) 10*1 + 97*1
So there are total 18 ways to pay for bill

An 8-digit number 4252746B leaves remainder 0 when divided by 3. How many values of B are possible?
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    6
Correct answer is option 'C'. Can you explain this answer?

This is a question based on rules of divisibility. The rule of divisibility of 3 is that the sum of all the digits of the number should be divisible by 3. We have 4 + 2 + 5 + 2 + 7 + 4 + 6 + B = 30 + B, which is completely divisible by three. So B can take value as 0, 3, 6, or 9. Hence 4 values are possible for B.

A and B are two heavy steel blocks. If B is placed on the top of A, the weight increases by 60%. How much weight will reduce with respect to the total weight of A and B, if B is removed from the top of A?
  • a)
    60%
  • b)
    45.5%
  • c)
    40%
  • d)
    37.5%
Correct answer is option 'A'. Can you explain this answer?

Pooja Shah answered
Step-by-step explanation:
Step 1- assume the weight of A=100%
Step 2-if you place B on A 60% increases
i.e, 100%+60%= 160%
Step 3- If you remove B with respect to total weight of A and B
i.e, total [A+B]-B= 160% - 60%
Reduction in weight with respect to total weight of A and B
(A/A+B) × [A+B]-B = 100/160 × 60 %
=37.5% is the answer

A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother?
  • a)
    48 kg
  • b)
    50 kg
  • c)
    52 kg
  • d)
    54 kg
Correct answer is option 'D'. Can you explain this answer?

Suresh Reddy answered
We know that – Average x Number of people = Total.
Average of weight of two children and their mother (i.e. total 3 members) = 50. So, the sum of the weight of two children and mother = C1 + C2 + M = 50 × 3 = 150 ... (1) (where C1 and C2 are the weights of two children and M is the weight of the Mother)
Again if the weight of the Father is F, we have C1 + C2 + F = 52 × 3 = 156 ... (2)
Now it is given that the weight of the father = F = 60.
By putting this value in equation (2), we have C1 + C2 = 156 - 60 = 96.
Again by using equation (1) we have M = 150 - 96 = 54 kg.
(If you do not want to solve this way, you can always reverse check using options also, in such questions. Since option (4) was correct, you will need to check 3 options at least).

In an examination, A has scored 20 marks more than B. If B has scored 5% less marks than A, how much has B scored?
  • a)
    360
  • b)
    380
  • c)
    400
  • d)
    420
Correct answer is option 'B'. Can you explain this answer?

Check options directly.
Start with (a). If B is 360, A will be 380. Now, 5% of 380 = 19. So B will become 380 – 19 = 361. Hence this option is wrong (B is 360, not 361).
If B is 380, A will be 400. Now, 5% of 400 = 20. So B will be 400 – 20 = 380. Hence (b) is correct. You do not need to check options (c) and (d) at all.

​If x is greater than or equal to 25 and y is less than or equal to 40, then which one of the following is always correct?
  • a)
    x is greater than y
  • b)
    (y - x) is'greater than 15
  • c)
    (y - x) is less than or equal to 15
  • d)
    (x - y) is greater than or equal to 65
Correct answer is option 'C'. Can you explain this answer?

Poonam Reddy answered
Given that x is greater than or equal to 25. Also, y is less than or equal to 40.
Let’s try to find the various values of y – x.
If y = 40, x can take various values like 25, 26, 27, ....... (not necessarily integers – not given in question) In that case y – x will take values like 15, 14, 13, 12,......0, - 1 etc.
If y = 39, x can take various values 25, 26, 27.... (not necessarily integers) In that case y – x will take values like 14, 13, 12, 11 ..... 0, - 1 etc.
Similarly, if y = 38, values of y – x will be 13, 12, 11, ..... 0, -1 etc. and so on.
So, we can say that value of y – x is less than or equal to 15 in all cases.

All members of a club went to Mumbai and stayed in a hotel. On the first day, 80% went for shopping and 50% went for sightseeing, whereas 10% took rest in the hotel. Which of the following conclusion(s) can be drawn from the above data?
1. 40% members went for shopping as well as sightseeing.
​2. 20% members went for only shopping.
Q. Select the correct answer using the code given below:
  • a)
    2 only
  • b)
    Neither 1 nor 2
  • c)
    Both 1 and 2
  • d)
    1 only
Correct answer is option 'D'. Can you explain this answer?

Prisha Basak answered
Given data:
- All members of a club went to Mumbai and stayed in a hotel.
- On the first day, 80% went for shopping and 50% went for sightseeing, whereas 10% took rest in the hotel.

Conclusion:
1. 40% members went for shopping as well as sightseeing.
2. 20% members went for only shopping.

Explanation:
1. 40% members went for shopping as well as sightseeing:
- The data given does not provide information about the overlap between those who went for shopping and those who went for sightseeing.
- Therefore, it cannot be concluded that 40% members went for shopping as well as sightseeing.
- Hence, conclusion 1 is incorrect.

2. 20% members went for only shopping:
- The data given tells us that 80% went for shopping and 50% went for sightseeing.
- This means that 30% did not go for shopping (100% - 80% = 20% + 50% = 30%).
- Since 10% took rest in the hotel, the remaining 20% went for neither shopping nor sightseeing.
- Therefore, out of the 80% who went for shopping, only 60% went for shopping exclusively (80% - 20% = 60%).
- Hence, conclusion 2 is correct.

Therefore, the correct answer is option D, 1 only.

Sunita cuts a sheet of paper into three pieces. Length of first piece is equal to the average of the three single digit odd prime numbers. Length of the second piece is equal to that of the first plus one-third the length of the third. The third piece is as long as the other two pieces together. The length of the original sheet of paper is
a)13 units
b)15 units
c)16 units
d)30 units
Correct answer is option 'd'. Can you explain this answer?

Tanvi Gupta answered
The only three single digit odd prime numbers are 3, 5 and 7. So the length of the first piece = (3+ 5 + 7)/3 = 5. Now let the length of the second piece = X units.
Then by the condition given in question we have – Length of the third piece = X + 5. Length of the second piece = X = 5 + (X + 5)/3.
Solve this to get X = 10. So, length of the first piece = 5, second piece = 10 and third piece = 15. So length of the original sheet = 5 + 10 + 15 = 30 units.

A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have?
  • a)
    1040
  • b)
    1048
  • c)
    1049
  • d)
    1074
Correct answer is option 'D'. Can you explain this answer?

Solution:

Let's assume the book has 'n' pages.

Number of digits required to number the pages from 1 to 9 = 1 digit each, so a total of 9 digits.
Number of digits required to number the pages from 10 to 99 = 2 digits each, so a total of 180 digits (90 pages, each with 2 digits).
Number of digits required to number the pages from 100 to 999 = 3 digits each, so a total of 2700 digits (900 pages, each with 3 digits).
Number of digits required to number the pages from 1000 to n = 4 digits each, so a total of 4(n-1000+1) digits.

Adding all the digits, we get:

9 + 180 + 2700 + 4(n-1000+1) = 3189
4(n-999) = 3000
n-999 = 750
n = 1749

Therefore, the book has 1749 pages.

Option D, 1074 is incorrect.

Consider the following Statements and Conclusions:
Statements:
1. Some rats are cats.
2. Some cats are dogs.
3. No dog is a cow.
Conclusions:
I. No cow is a cat.
II. No dog is a rat.
III. Some cats are rats.
Q. Which of the above conclusions is/are drawn from the statements?
  • a)
    I, II and III
  • b)
    Only I and II
  • c)
    Only III
  • d)
    Only II and III
Correct answer is option 'C'. Can you explain this answer?

Aditya Kumar answered
The conclusion of 'Some rats are cats' is 'Some cats are rats'. So conclusion III is valid. No conclusion can be drawn in terms of rats and dogs as statement I and II both are starting with 'some'. So, conclusion II is not valid. That eliminates all options except option (c).
The only conclusion in terms of cat and cow will be 'Some cats are not cows'. So conclusion I is not valid.
 

In the sequence 1, 5, 7, 3, 5, 7, 4, 3, 5, 7, how many such 5s are there which are not immediately preceded by 3 but are immediately followed by 7?
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    None
Correct answer is option 'A'. Can you explain this answer?

Pooja Shah answered
In the given sequence 1, 5, 7, 3, 5, 7, 4, 3, 5, 7, there is only one such 5 that is not preceded immediately by 3, but immediately followed by 7. It is the one in bold – 1, 5, 7, 3, 5, 7, 4, 3, 5, 7.

In 2002, Meenu's age was one-third of the age of Meera, whereas in 2010, Meenu's age was half the age of Meera. What is Meenu's year of birth?
  • a)
    1994
  • b)
    1992
  • c)
    1996
  • d)
    1998
Correct answer is option 'A'. Can you explain this answer?

Vikram Kapoor answered
Answer:
Meenu's year of birth - 1994
Step-by-step explanation:
in 2002 Meenu's age was one third of the age of Meera where as in 2010,Meenu's age was half of the age of Meera.
Let say Meenu's age in 2002 = M Years
Meenu's age was one third of the age of Meera
so, Meera's age in 2002 = 3M
in 2010 i.e 8 years after 2002
Meenu's age was half of the age of Meera
Meenu age = M + 8
Meera age = 3M + 8
2(M + 8) = 3M + 8
=> 2M + 16 = 3M + 8
=> M = 8
Meenu was 8 years old in 2002
so Meenu was born in 2002-8  = 1994
Meenu's Year of Birth = 1994

The average marks of 100 students are given to be 40. It was found later that marks of one student were 53 which were misread as 83. The corrected mean marks are 
  • a)
    39
  • b)
    39.7
  • c)
    40
  • d)
    40.3
Correct answer is option 'B'. Can you explain this answer?

Rohit Jain answered
Given, average marks of 100 students = 40.
So, total marks of 100 students = 40 × 100 = 4000.
But in this total the error is 83 – 53 = 30, more than the actual total.
So, Actual total = 4000 – 30 = 3970.
So the correct Mean = 3970/100 = 39.70.

How many triplets (x, y, z) satisfy the equation x + y + z = 6, where x, y and z are natural numbers?
  • a)
    4
  • b)
    5
  • c)
    9
  • d)
    10
Correct answer is option 'D'. Can you explain this answer?

Amit Sharma answered
x, y and z are natural numbers. So, x, y and z will be greater than zero. It also means that minimum 1 will be there at all places in (x, y, z).
So we can conclude that x' + y' + z' = 6 – (1 + 1 + 1) = 3, where x', y', and z' can take value 0 too.
Now this is a problem of distributing three objects at three places (i.e. with two partitions). This can be done in 5!/(3!×2!) = 10 ways.
The other, simpler way to do it is to manually check. We get 10 sets of triplets : (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), (3,2,1),(1,1,4), (1,4,1), (4,1,1), (2,2,2).

​A wall clock moves 10 minutes fast in every 24 hours. The clock was set right to show the correct time at 8:00 a.m. on Monday. When the clock shows the time 6:00 p.m. on Wednesday, what is the correct time?
  • a)
    5:36 p.m.
  • b)
    5:30 p.m.
  • c)
    5:24 p.m.
  • d)
    5:18 p.m.
Correct answer is option 'A'. Can you explain this answer?

n 24 hours, the correct clock moves 24 × 60 = 1440 minutes, but the incorrect clock will move 1440 + 10 = 1450 min. So now we have basic relation between the correct and incorrect clock that IN THE TIME CORRECT CLOCK MOVES 1440 MINUTES, INCORRECT CLOCK MOVES 1450 MINUTES.
Now by the condition given in question the INCORRECT clock has moved 24 + 24 + 10 = 58 hours (i.e. 58×60 minutes).
If the INCORRECT clocks moves 1450 minutes, CORRECT clock moves 1440 minutes.
If the INCORRECT clock moves 1 minute, CORRECT clock moves 1440/1450 minutes.
But in our case INCORRECT clock has moved 58 hrs × 60 min /hr = 3480 minutes.
So, if the INCORRECT clock moved 3480 minutes, the correct clock will have moved (1440×3480)/1450 = 3456 minutes.
Converting 3456 min into hours we have 3456/60 = 573/5 or 57 hours 36 minutes.

In a school, 60% students play cricket. A student who does not play cricket, plays football. Every football player has got a twowheeler. Which of the following conclusions cannot be drawn from the above data?
1. 60% of the students do not have two wheelers.
2. No cricketer has a two-wheeler.
3. Cricket players do not play football.
​Q. Select the correct answer using the code given below:
  • a)
     1, 2 and 3
  • b)
    2 and 3 only
  • c)
    1 and 3 only
  • d)
    1 and 2 only
Correct answer is option 'A'. Can you explain this answer?

Raghav Kumar answered
Given information:

- 60% of students play cricket.
- Students who don't play cricket, play football.
- Every football player has a two-wheeler.

Conclusion 1: 60% of the students do not have two-wheelers.
This conclusion cannot be drawn from the given information because it is not specified whether the students who play cricket have two-wheelers or not. Therefore, we cannot assume that 60% of the students do not have two-wheelers.

Conclusion 2: No cricketer has a two-wheeler.
This conclusion cannot be drawn from the given information because it is not specified whether the students who play cricket have two-wheelers or not. Therefore, we cannot assume that no cricketer has a two-wheeler.

Conclusion 3: Cricket players do not play football.
This conclusion cannot be drawn from the given information because it is stated that students who do not play cricket, play football. Therefore, it is possible for cricket players to also play football.

Hence, the correct answer is option A, i.e., none of the above conclusions can be drawn from the given information.

Mr. 'X' has three children. The birthday of the first child falls on the 5th Monday of April that of the second one falls on the 5th Thursday of November. On which day is the birthday of his third child, which falls on 20th December?
  • a)
    Monday
  • b)
    Sunday
  • c)
    Saturday
  • d)
    Thursday   
Correct answer is option 'D'. Can you explain this answer?

Meera Singh answered
5th Monday of April can be
either 29th April or 30th April
Case 1 : 29th April is 5th Monday
then 1 + 31 + 30 + 31 + 31 + 30 + 31 + 1 = 186 Days = 26*7 + 4
=> so 1 November will be Friday
=>  which means 29th , 30th Nov are  Friday & Saturday
so there's no 5th Thursday in November when 5th Monday of April is on 29th .
Case 2 :  30th April Monday is 5th Monday
then 31 + 30 + 31 + 31 + 30 + 31 + 1 = 185 Days = 26*7 + 3
=> so 1 November will be Thursday
=> which means 29th Nov is 5th Thursday, which is our case
=> so 6th Dec is also Thursday
6 + (2 * 7) = 20
=> So, 20th Dec is also Thursday (3rd Thursday of December)

Six students A, B, C, D, E and F appeared in several tests. Either C or F scores the highest. Whenever C scores the highest, then E scores the least. Whenever F scores the highest, B scores the least. In all the tests they got different marks; D scores higher than A, but they are close competitors; A scores higher than B; C scores higher than A.
Q. If F stands second in the ranking, then the position of B is
  • a)
    Third
  • b)
    Fourth
  • c)
    Fifth
  • d)
    Sixth
Correct answer is option 'C'. Can you explain this answer?

Akshita Menon answered
Let’s first number the conditions given in question. There are eight conditions in all.
i. Six students A, B, C, D, E and F appeared in several tests.
ii. Either C or F scores the highest.
iii. Whenever C scores the highest, then E scores the least.
iv. Whenever F scores the highest, B scores the least.
v. In all the tests they got different marks;
vi. D scores higher than A, but they are close competitors;
vii. A scores higher than B;
viii. C scores higher than A
If F stands second, then by condition (ii), C will be first. If C is first (i.e., score highest) by condition (iii), E scores the least. And using conditions v, vi, vii and viii, we got the following order - C – F – D – A – B – E. Hence B stood fifth.

Passage - 1
Political theorists no doubt have to take history of injustice, for example, untouchability, seriously. The concept of historical injustice takes note of a variety of historical wrongs that continue into the present in some form or the other and tend to resist repair. Two reasons might account for resistance to repair. One, not only are the roots of injustice buried deep in history, injustice itself constitutes economic structures of exploitation, ideologies of discrimination and modes of representation. Two, the category of historical injustice generally extends across a number of wrongs such as economic deprivation, social discrimination and lack of recognition. This category is complex, not only because of the overlap between a number of wrongs, but because one or the other wrong, generally discrimination, tends to acquire partial autonomy from others. This is borne out by the history of repair in India.
On the basis of the above passage, the following assumptions have been made :
1. Removal of economic discrimination leads to removal of social discrimination.
2. Democratic polity is the best way to repair historical wrongs.
​Q. Which of the above assumptions is/are valid?
  • a)
    1 only
  • b)
    2 only
  • c)
    Both 1 and 2
  • d)
    Neither 1 nor 2
Correct answer is option 'D'. Can you explain this answer?

Pranjal Ghosh answered
The passage clearly says that historical injustice spans across many categories like economic deprivation, social discrimination and lack of recognition. So assumption 1 is not necessarily right. Assumption 2 is not explicitly stated anywhere. Hence both are invalid.

​Consider two statements S1 and S2 followed by a question:
S1: p and q both are prime numbers.
S2: p + q is an odd integer.
Question: Is pq an odd integer?
Q. Which one of the following is correct?
  • a)
    S1 alone is sufficient to answer the question
  • b)
    S2 alone is sufficient to answer the question
  • c)
    Both S1 and S2 taken together are not sufficient to answer the question
  • d)
    Both S1 and S2 are necessary to answer the question
Correct answer is option 'D'. Can you explain this answer?

Mohit Goyal answered
Consider following rules -
1. odd × odd = odd; 
2. odd×even = even; 
3. even × even = even; 
4. odd + odd = even; 
5. even + even = even and 
6. even + odd = odd.
By above rules p×q = even, if both p and q are even or they form a pair of odd and even numbers and p×q = odd, if p and q both are odd.
Statement I: Information given is not sufficient as in a set of prime number two numbers can be even and odd (for example 2 and 3) or odd and odd (for example 3 and 5). So, p×q can be even or odd.
Statement II: Information given is not sufficient as it is not known that whether p and q are integers are not. They may be fractions.
By combining statements I and II: we have p and q as prime number and there sum is odd. So, the two prime numbers should be one even and one odd. So now we have that one is even and one is odd. In this case p×q will always be even. So we can answer the question that No, p×q is not an odd integer.

When a runner was crossing the 12 km mark, she was informed that she had completed only 80% of the race. How many kilometres was the runner supposed to run in this event?
  • a)
    14
  • b)
    15
  • c)
    16
  • d)
    16.5
Correct answer is option 'B'. Can you explain this answer?

Bijoy Saha answered
This can be solved mentally. 12 km is 80% of whole race
i.e  8/10 = 4/5 of the whole race. So whole race must be 15 km.
In this question 12 km is 80% of the total race.
=> 12 km = 0.8 R => R = 12 / 0.8 = 15.
So total race will be of 15 km. 

A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor. Consider the following statements:
1. The middle three floors are painted in different colours.
2. The second (II) and the fourth (IV) floors are painted in different colours.
3. The first (I) and the fifth (V) floors are painted red.
​To ensure that any two consecutive floors have different colours
  • a)
    Only statement 2 is sufficient
  • b)
    Only statement 3 is sufficient
  • c)
    Statement 1 is not sufficient, but statement 1 along with statement 2 is sufficient
  • d)
    Statement 3 is not sufficient, but statement 3 along with statement 2 is sufficient
Correct answer is option 'B'. Can you explain this answer?

Nilotpal Desai answered
Precondition - five floors are painted with 4 different colours.
Statement 1 – The middle three floors are painted in different colours does not gurantee any two consecutive floors of different colours as the colour of “I and II” or “IV and V” can be same.
Statement 2 – Second (II) and the fourth (IV) floors are painted in different colours does not guarantee any two consecutive floors of different colours as the colour of I and II or II and III, III and IV or IV and V can be same.
Statement 3 will ensure that any two consecutive floors have different colours as there are only four colours to be used. The remaining three floors will have different colours

​If every alternative letter of the English alphabet from B onwards (including B) is written in lower case (small letters) and the remaining letters are capitalized, then how is the first month of the second half of the year written?
  • a)
    JuLY
  • b)
    jULy
  • c)
    jUly
  • d)
    jUlY
Correct answer is option 'D'. Can you explain this answer?

Pankaj Pillai answered
If we will write the English alphabet as described in the question we will get the 26 letters as – AbCdEfGhIjKlMnOpQrStUvWxYz. So, July will be written jUlY.
To do this mentally, break up the 26 alphabets into 13 pairs of two alphabets each – ab, cd, ef, ….. yz. Then, mentally visualize them to become – Ab, Cd, Ef, ….. Yz. Then July will have y at the end. That is capital Y. So options (b) and (c) are ruled out. And alphabet j will be in small caps. So (a) is ruled out. So answer is option (d).

Rakesh had money to buy 8 mobile handsets of a specific company. But the retailer offered very good discount on that particular handset. Rakesh could buy 10 mobile handsets with the amount he had. What was the discount the retailer offered?
  • a)
    15%
  • b)
    20%
  • c)
    25%
  • d)
    30%
Correct answer is option 'B'. Can you explain this answer?

Krish Sengupta answered
Given: Rakesh had money to buy 8 mobile handsets, but he could buy 10 mobile handsets with the same amount due to a discount offered by the retailer.

To find: What was the discount offered by the retailer?

Let the cost of each mobile handset be x.

Total cost of 8 mobile handsets = 8x

Total cost of 10 mobile handsets = 10x

As Rakesh had the money to buy 8 mobile handsets initially, we can write:

8x = amount Rakesh had

But he could buy 10 mobile handsets with the same amount after the discount, which means:

10x = amount Rakesh had

Let the discount offered be d.

So, the discounted price of each mobile handset = x - d

Total cost of 10 mobile handsets after discount = 10(x - d) = 10x - 10d

We know that Rakesh had the same amount of money to buy 8 and 10 mobile handsets respectively.

Therefore, we can equate the two expressions for the amount Rakesh had:

8x = 10x - 10d

Simplifying this equation, we get:

d = 0.2x

Hence, the discount offered by the retailer is 20% (option B).

Therefore, the retailer offered a discount of 20% on the mobile handsets.

Read the following statements SI and S2 and answer the two items that follow:
S1: Twice the weight of Sohan is less than the weight of Mohan or that of Rohan.
S2: Twice the weight of Rohan is greater than the weight of Mohan or that of Sohan. 
Q. Which one of the following statements is correct?
  • a)
    Weight of Mohan is greatest
  • b)
    Weight of Sohan is greatest
  • c)
    Weight of Rohan is greatest
  • d)
    Whose weight is greatest' cannot be determined
Correct answer is option 'D'. Can you explain this answer?

Navya Chauhan answered
Let weight of Sohan = S, weight of Mohan = M and weight of Rohan = R.
Then by the condition given we have :
2S < M, even double of S is less than M. So, S < M.
2S < R, even double of S is less than R. So S < R.
So, we can conclude that S is less than M and R. But we do not know the order relation between M and R. Again, 2R > M, means either R = M or R > M or R < M. So we cannot conclude relation between R and M.
2R > S is obvious as we have concluded R > S above. So not give any fruitful information.

Read the following five passages and answer the items that follow each passage. Your answers to these items should be based on the passages only.
Passage - 1
India's economic footprint, given its population, still remains small compared to the US, the European Union or China. It has much to learn from other economies, yet must implement solutions that fit its unique circumstances. India especially needs an effective long-term regulatory system based on collaboration rather than the ' current top-down approach. Regulations seek desirable outcomes yet are repeatedly used as political tools to push one agenda or another. Often, regulations fail to consider impacts on jobs and economic growth — or less restrictive alternatives. Regulations may be used to protect local markets at the expense of more widely shared prosperity in the future. Additionally, regulations inevitably result in numerous unintended consequences. In today's hyper competitive global economy, regulations need to be viewed as "weapons" that seek cost-justified social and environmental benefits while improving the economic wellbeing of most citizens.
Q. Which one of the following is the most logical, rational and crucial inference that can be derived from the above passage ?
  • a)
    A better regulatory system will help India achieve the size of economy appropriate to its population.
  • b)
    In a competitive global economy, India must use regulations strategically.
  • c)
    Regulations in India do not favour its integration with today's hyper competitive global economy.
  • d)
    Job creation and economic growth should be dominant considerations in developing India's regulatory system.
Correct answer is option 'A'. Can you explain this answer?

Ipsita Mishra answered
Option (c) is not the main inference being drawn. It is one of the discussed issues. Option (d) is also one of the issues discussed, but not the main inference we can derive. Option (b) comes close to being the most logical inference, but option (a) is the best because the passage started with the idea of economic size of India. Then it went on to discuss the problems of regulatory system(s) in India. So, (a) is better than (b).

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of four parallel lines, is
  • a)
    18
  • b)
    24
  • c)
    32
  • d)
    36
Correct answer is option 'D'. Can you explain this answer?

In the diagram, let’s count the parallelograms one by one.
Case I - Parallelograms of 1 × 1 (ABFE type) - ABFE, BCGF, CDHG, EFJI, FGKJ, GHLK, IJNM, JKON, KLPO – total 9.
Case II - Parallelograms of 1 × 2 (ACGE type) - ACGE, BDFH, EGKI, FHLJ, IKOM, JLPN – total 6.
Case III - Parallelogram of 2 × 1 (ABJI type) - ABJI, EFNM, BCKJ, FGON, CDLK, GHPO – total 6.
Case IV - Parallelograms of 1 × 3 (ADHE type) - ADHE, EHLI, ILPM – total 3.
Case V - Parallelograms of 3 × 1 (ABNM type) - ABNM, BCON, CDPO – total 3.
Case VI - Parallelograms of 2 × 2 (ACKI type) - ACKI, BDLJ, EGOM, FHPN – total 4.
Case VII - Parallelograms of 3 × 2 (ADLI type) - ADLI, EHPM – total 2.
Case VIII - Parallelograms of 2 × 3 (ACOM type) - ACOM, BDPN – total 2.
Case IX -Parallelograms of 3 × 3 (ADPM type) – ADPM – total 1.
Total 36.
A much shorter method is by using permutations and combinations.
Select any two of the first set of 4 lines. That can be done in 4C2 ways.
Now select any two of the second set of 4 lines. That can also be done in 4C2 ways.
So the total number of ways of doing it = 4C2 x 4C2 = 6 x 6 = 36 ways.

Passage - 5
Access to schooling for those coming of school age is close to universal, but access to quality exhibits a sharp gradient with socio-economic status. Quotas for the weaker sections in private schools is a provision introduced by the Right of Children to Free and Compulsory Education Act, 2009. The quotas have imposed a debate on issues of social integration and equity in education that private actors had escaped by and large, The idea of egalitarian education system with equality of opportunity as its primary goal appears to be outside the space that private school principals inhabit. Therefore, the imposition of the quotas has led to resistance, sometimes justified,
Q. With reference to the above passage, the following assumptions have been made:
1. Making equality of opportunity a reality is the fundamental goal of the Indian education system.
2. The present Indian school system is unable to provide egalitarian education.
3. Abolition of private schools and establishment of more government schools is the only way to ensure egalitarian education.
Q. Which of the above assumptions is/are valid?
  • a)
    1 and 2 only 
  • b)
    2 only
  • c)
    2 and 3 only
  • d)
    3 only
Correct answer is option 'A'. Can you explain this answer?

Sneha Sen answered
Assumption 2 is surely correct, as per the passage. So option (d) is ruled out. Assumption 3 is too strongly worded, and is not mentioned. In fact, a word of support for private schools is seen in the end of the passage. So we rule out assumption 3. We are now left with options (a) and (b). Assumption 1 is surely correct – it is mentioned. Hence, (a) is our answer.

Passage - 3
Diarrhoeal deaths among Indian children are mostly due to food and water contamination. Use of contaminated groundwater and unsafe chemicals in agriculture, poor hygiene in storage and handling of food items to food cooked and distributed in unhygienic surroundings; there are myriad factors that need regulation and monitoring. People need to have awareness of adulteration and ways of complaining to the relevant authorities. Surveillance of food-borne diseases involves a number of government agencies and entails good training of inspection staff. Considering the proportion of the urban population that depends on street food for its daily meals, investing in training and education of street vendors is of great significance.
=> On the basis of the above passage, the following assumptions have been made:
1. Food safety is a complex issue that calls for a multipronged solution.
2. Great investments need to be made in developing the manpower for surveillance and training.
3. India needs to make sufficient legislation for governing food processing industry.
Q. Which of the above assumptions is/are valid?
  • a)
    1 and 2 only
  • b)
    3 only
  • c)
    1 and 3 only
  • d)
    1, 2 and 3
Correct answer is option 'A'. Can you explain this answer?

Option A is correct because food is the source by which tha bacteria, virus, etc enter in the body, if the food is unhygienic then the person can suffer many health issues specially the children are affected more because the immune system of the child is weak then that of elder person, this is the main cause to affect childern more from infected food and water.

Passage - 2
With the digital phenomenon restructuring most social sectors, it is little surprise that global trade negotiations are now eyeing the digital area in an attempt to pre-emptively colonise it. Big Data is freely collected or mined from developing countries, and converted into digital intelligence in developed countries. This intelligence begins to control different sectors and extract monopoly rents. A large foreign company providing cab service, for instance, is not a work of cars and drivers, it is digital intelligence about commuting, public transport, roads, traffic, city events, presonal behavioural characteristics of commuters and driver and so on.
Q. Which one of the following is the most logical and rational corollary to the above passage?
  • a)
    Globalization is not in the interests of India as it undermines its socioeconomic structures.
  • b)
    India should be careful to protect its digital sovereignty in global trade talks.
  • c)
    India should charge monopoly rents from multinational companies in exchange for Big Data.
  • d)
    The loss of Big Data from India is proportional to the degree/value of its foreign trade.
Correct answer is option 'B'. Can you explain this answer?

Gaurav Saha answered
Options (a), (c) and (d) are wrong. The passage is clearly talking about how digital data ownership is now driving trade and business advantages, and how Indian data in the hands of foreign firms is not a good idea (for India). Clearly, (b) represents the best corollary (i.e. a guidance for the future).

Chapter doubts & questions for 2019 - UPSC Previous Year Question Papers and Video Analysis 2026 is part of UPSC CSE exam preparation. The chapters have been prepared according to the UPSC CSE exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for UPSC CSE 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

Chapter doubts & questions of 2019 - UPSC Previous Year Question Papers and Video Analysis in English & Hindi are available as part of UPSC CSE exam. Download more important topics, notes, lectures and mock test series for UPSC CSE Exam by signing up for free.

Top Courses UPSC CSE

Related UPSC CSE Content