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OPSC OAS Prelims Paper 2 Mock Test - 3 - OPSC OCS (Odisha) MCQ


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30 Questions MCQ Test - OPSC OAS Prelims Paper 2 Mock Test - 3

OPSC OAS Prelims Paper 2 Mock Test - 3 for OPSC OCS (Odisha) 2025 is part of OPSC OCS (Odisha) preparation. The OPSC OAS Prelims Paper 2 Mock Test - 3 questions and answers have been prepared according to the OPSC OCS (Odisha) exam syllabus.The OPSC OAS Prelims Paper 2 Mock Test - 3 MCQs are made for OPSC OCS (Odisha) 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for OPSC OAS Prelims Paper 2 Mock Test - 3 below.
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OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 1

Two boys, who study in a school, start walking to their homes from their school at 1 pm. The first boy, whose home is 5 km away from the school walks at a speed of 5 km/hr and the second boy whose home is 8 km away from the school walks at a speed of 6 km/hr. If their homes are in directly opposite directions, what will be the distance between the two boys at 2:10 pm?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 1

At the beginning, both the boys walk away from each other. After one hour, first boy reaches home and his distance from school is 5 km. This distance does not change after 2 pm.
The second boy walks at the speed of 6 km per hour for the entire 1 hour 10 min.
Distance covered by second boy in 1 hour 10 min = 7 km.
So, Total distance between the boys at 2:10 pm = 7 + 5 = 12 km. 

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 2

Number of mobiles produced by Xiaomi Market share of bikes for year 2018 

If Xiaomi Company wants all its Y1 which are produced in 2017 and 2018 to be sold then what should have been the number of Y1 produced in 2018?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 2

We don’t know the market share of 2017. We can’t find the number of Y1 sold in year 
2017.

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 3

Number of mobiles produced by Xiaomi Market share of bikes for year 2018 

If in 2018 Note 3 accounts for 8% of market share, what percent of others category does it account for?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 3

x% of 10% of total = 8% of total
x= (8×100)/10=80% 

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 4

Lakshman went 15 km to the west from his house, then turned left and walked 20 km. He then turned East and walked 25 km and finally turning left covered 20 km. How far is he now from his house? 
 

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 4

Points A and E show the starting and end position respectively of Lakshman. It is clear that E is 10 km away from A. 

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 5

A car is stolen at 2:30 pm and the thief runs away with the car driving at a speed of 60 km/hr. The owner discovers about the theft at 3 pm. He sets off in another car at a speed of 75 km/hr. If the owner drives on the correct path directly behind the thief, he would be able to catch the thief at:

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 5

Assume that the thief is overtaken x hrs after 2.30 pm
When the car is overtaken, the distance covered by the owner and the thief is the same.
Distance covered by the thief in x hrs = distance covered by the owner in (x-0.5)hr
So, 60x = 75 (x- 0.5)
Or x = 2.5 hr
Thief is caught at 2.30 pm + 2.5 hr = 5 pm

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 6

Directions: Symbols @, %, #, $, © are used with different meanings as explained below: ‘P @ Q’ means ‘P is not greater than Q’. ‘P % Q’ means ‘P is neither greater than nor equal to Q’. ‘P # Q’ means ‘P is neither smaller than nor equal to Q’. ‘P $ Q’ means ‘P is neither smaller than nor greater than Q’. ‘P © Q’ means ‘P is not smaller than Q’.
Three statements showing relationships have been given, which are followed by two conclusions (1) and (2). Assuming that the given statements are true, find out which conclusions(s) is/are definitely true.

Q. Statements: J # P, P @ B, B % H.
Conclusions:
1. J @ B
2. J % H

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 6

J # P = J > P,
P @ B = P ≤ B,
B % H =B < H
∴ J > P ≤ B < H
1. J @ B _ J < B (False)
2. J % H _ J < H (False)

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 7

A class contains N students, having roll numbers 1,2,3....N. On a particular day only 50 students turn up for the class. The average of the roll numbers of the students present on that day is 38. A teacher punishes two students and sends them out of the class. The average of the roll numbers of the students who are left in the class drops to 37.5. Choose the correct statement from the options given below.

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 7

Total of 50 roll numbers= 50 × 38 = 1900
Total of 48 roll numbers = 37.5 × 48 = 1800
Sum of the roll numbers of the students who have been sent out = 1900 – 1800 = 100.

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 8

Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years

The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 8

Total bonus paid = 16 Total salary = 1540 Percentage = (16/1540) X 100 = 1.03% 

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 9

Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years

The ratio between the total expenditure on Taxes for all the years and the total expenditure on Fuel and Transport for all the years respectively is approximate?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 9

Total spent on taxes = 465
Total spent on fuel & transport = 275
Ratio = 465/275 = 93/55 = 93 : 55

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 10

Five years ago, the average age of a family, which consisted of three members, was 27 years. The family now consists of four members as a baby was born recently. The current average age of the family is 25 years. How many years ago was the baby born?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 10

Average age of the family 5 years ago (3 members) = 27 years
Sum of the ages of the 3 older members now= (27 + 5) × 3 = 96 years
Average age of the family now (4 members) = 25 years
Sum of the ages of the 4 numbers of the family now = 25 ×4 = 100 years
So, Age of child = 100 – 96 = 4 years

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 11

Direction: The total annual CO2 emissions from various sectors are 8 mm. In the Pie Chart given below, the percentage contribution to CO2 emissions from various sectors is indicated.

Q. Which of the following sectors together emit 4 mm of CO2 every year?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 11

Total emission is 8. And 4 mm is 50% (half) of 8 (total emission)
From the given circle, transport + commercial, represent half circle (50%) Similarly (Thermal + Domestic) is also 50%. But it is not given in options.
So, the answer is (c): Transport + 
Commercial. 

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 12

Direction: The total annual CO2 emissions from various sectors are 8 mm. In the Pie Chart given below, the percentage contribution to CO2 emissions from various sectors is indicated.

Q. Which of the following sectors have emission difference of 0.8 mm between them?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 12

Total is 8 mmt (100%) So 0.8 mmt 
Find out which two sectors have a % difference of 10%, Transport minus Commercial = 30 – 20 = 10%. So (b) is the answer. 

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 13

Directions for: Examine the information given in the following paragraph and answer the items there follow:

A school is celebrating Sport week in which five games viz. Cricket, Badminton, Tennis, Football and Volleyball are to be held in five different days in a week from Monday to Friday. Only one sport can be played on each day. Cricket cannot be played on Tuesday. Players for Badminton is available only on Tuesday. Volleyball is played immediately after the day of Cricket. Football has to played immediately before the day of Cricket.

Q. Which sport is the last one in the week?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 13

Badminton is on Tuesday. Cricket is on Thursday because Volleyball has to be immediately after that (Friday) and Football immediately before Cricket (Wednesday). Remaining, Tennis subject is on Monday.

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 14

In a group of 20 children, two children have hundred marbles each and three do not possess any marbles. The average number of marbles with the rest of the children is 40. What is the average number of marbles with the group of children?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 14

Total number of marbles with the children = (100 × 2) + (40 × 15) + (3 × 0)  = 800.
Average number of marbles with the children = Total number of marbles/Total number of children = 800/20 = 40

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 15

If = stands for ÷; + stands for -; - stands for +; × stands for =; ÷ stands for ×; which of the following is true?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 15

Substituting the signs equation 1 becomes: 8 × 4 + 1 ÷ 1 - 1 = 32, which is correct. 

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 16

Based on the following bar graph. (Number of Industrial Townships in 1978 is 160000)

Which was the first year when people were employed in private enterprises?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 16

Although we can definitely say that the people were employed in Private Enterprises after 1978 and before or in 1998, we do not have data prior to 1978 and intermediate years’ data. So, cannot be determined.

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 17

Based on the following bar graph. (Number of Industrial Townships in 1978 is 160000)

If it is known that the total work force in India increases at a simple rate of 10% per annum, then by what per cent does the number of people employed in the Urban Collectives change?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 17

Let total work force in 1978 be ‘n’. Then in 1998, it will be 
People employed in urban collectives in 1978 = 0.08n, in 1998 = 0.05 × 3n = 0.15n.

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 18

Directions 
A book is divided into 6 chapters. The following pie chart denotes the percentage of the total pages devoted to each chapter.

If Chapter 1 contains 60 pages, the number of pages in chapter 5 is?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 18

Chapter 5 is 18%, whereas Chapter 1 is 4%.
Chapter 5 is 4.5 times Chapter 1.
So, number of pages in Chapter 5 = 4.5 × Number of pages in chapter 1 = 4.5 × 60 = 270.

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 19

Directions 

A book is divided into 6 chapters. The following pie chart denotes the percentage of the total pages devoted to each chapter.

The central angle for Chapter 6 is x degrees more than that of chapter 5. The value of x is

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 19

Angle for Chapter 6 = (35/100) × 360° = 126°
Angle for Chapter 5 = (18/100) × 360° = 64.8°
Required difference = 61.2°

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 20

Raj travelled from a point X straight to Y at a distance of 80 metres He turned right and walked 50 metres then again turned right and walked 70 metres Finally he turned right and walked 50 metres How far is he from the starting point ____________.

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 20

 
The movements of Raj are as shown in fig (X to Y, Y to A, A to B, B to C)
∴ Raj's distance from the starting point
= XC = (XY - YC) = (XY - BA)
= (80 - 70) m = 10 m.

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 21

In the Venn diagram given below, what is the total number of singers who are only painters or only dancers but not both painter as well as dancer.

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 21

Singers who are dancers but no painters = d
Singers who are painters but not dancers = e
So, the total number of singers who are only painters or only dancers but not both painter as well as dancer = d + e

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 22

The table represent the percentage expenditure of the income of A, B, C, D, E and F on different items.

If the annual income of B and C are ₹2,16,000 and ₹2,64,000 respectively, what is the difference between the amount spent by them on transport?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 22



= Difference = 48,816 – 39,072= ₹9,744 

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 23

The table represent the percentage expenditure of the income of A, B, C, D, E and F on different items.

If the amount of money spent on food by C and D are ₹72000 and ₹86400 respectively, then the annual income of C is what percentage of the annual income of D?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 23

The correct option is C.
24% of total of C = 72000
Total of C = 72000*100/24 = 300000
18% of D = 86400
Total of D = 86400*100/18 =480000
Percentage of C with respect to D = 300000/480000*100 = 62.5%

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 24

The table represent the percentage expenditure of the income of A, B, C, D, E and F on different items.

The percentage of amount of money spent by E on entertainment is what percentage of the amount of money spent by F on transport?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 24

Eentertainment = 8.6%
FTransport = 16%

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 25

Road the passage given below and the two statements that follow (given on the basis of the passage);

Four athletes are waiting at Beijing airport for a Mumbai flight. Two are Sprinters and the other two are Badminton players. Two are from Maharashtra and two are from Bengal. No two of the same profession are from the same state. Two are Muslims and two are Christian. No two of the same religion are of the same profession nor do they are from the same state, The Bengal’s Sprinter is a Christian.
1. The Christian-Badminton player is from Maharashtra.
2. The Maharashtra’s Sprinter is a Muslim.

Q. Which of the above statement(s) is/are correct conclusion(s)?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 25

The correct option is C.
Sprinter =

  1. Bengal - christian 
  2. Maharashtra - muslim

Badminton players = 

  1. Bengal - muslim
  2. Maharashtra - christian
OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 26

10% of α is 5 times 20% of β. The ratio β: α is:

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 26

10% of α is 5 times 20% of β
Or
(10/100) α = 5 × (20/100) β
Or
0.1α = 5 × 0.2 β
Or β/ α =1/10

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 27

Refer to the following graph related to the percentage of persons over 25 years of age and with more than 4 years college education living in country X.

What percentage of persons of 25 and over completed 4 years of college or more in 1970?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 27

By visual observation, 11% of person of 25 and over completed 4 years of college or more in 1970. 

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 28

Refer to the following graph related to the percentage of persons over 25 years of age and with more than 4 years college education living in country X.

Q. If some other country had three times as many people of 25 and over in 1989 as the country X with the same number of persons completing 4 years of college or more, what percentage of that country’s people of 25 and over would complete college?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 28

If country X had 100 people over 25 in year 1989, then 21 were educated. The other country has 300 people over 25.
The number of educated is still 21.
So, as a %age that works out to 21/300 × 100 = 7%.

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 29

A room is 15m 25 cm long and 9m 25 cm wide. The room has to be tiled using square tiles of side 41 cm. If no tile has to be cut and maximum area possible is covered, how many tiles can be placed in the room?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 29

1525/41 = 37.2
Along the length, 37 tiles can be placed without cutting any tile. 925/41 = 22.5
Along the breadth, 22 tiles can be placed without breaking any tile.
(After placing all these tiles some area will remain uncovered)
Maximum number of tiles that can be used = 37 × 22 = 814.

OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 30

A, B and C have a few coins with them. 7 times the number of coins that A has is equal to 5 times the number of coins B has while 8 times the number of coins B has is equal to 13 times the number of coins C has. What is the minimum number of coins with A, B and C put together?

Detailed Solution for OPSC OAS Prelims Paper 2 Mock Test - 3 - Question 30


So, final ratio  of [A:B:C :: (5 x 13) : (7 x 13) : (8  x 7)]
minimum number of coins is equal to sum of their ratio  = (65 + 91 + 56) = 212

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