UPSC CPF Reasoning and Quantitative aptitude Exam Paper

1. The number of times the hands of a watch are at right angle between 4 pm to 10 pm is:

(1) 6

(2) 9

(3) 10

(4) 11

Ans. (4)

2. If Saturday falls four days after today which is 6th January, on which day did the first of December of the previous year fall?

(1) Tuesday

(2) Friday

(3) Sunday

(4) Monday

Ans. (4)

3. ‘R’ walks 1 km. to east and then he turns to south and walks 5 km. Again he turns to east and walks 2 km. After this he turns to north and walks 9 km. How far is he from his starting point?

(1) 3 km.

(2) 4 km.

(3) 5 km.

(4) 7 km.

Ans. (3)

4. If WOMEN is coded as 12345 and SERVANT is coded as 6789450, then VOTERS will be coded as:

(1) 920786

(2) 902876

(3) 978206

(4) 972086

Ans. (1)

5. Which will be the next term in the following?

KPA, LQB, MRC, NSD……

(1) OET

(2) OTE

(3) TOE

(4) EOT

Ans. (2)

6. The missing number in the following table is:

1	7	9
2	14	?
3	105	117

(1) 12

(2) 16

(3) 26

(4) 20

Ans. (4)

7. The following blocks are of the same material. Which is the heaviest one?

(1) A

(2) B

(3) C

(4) All equal

Ans. (3)

8. From the following Venn diagram identify the number of persons who are either good speakers or post graduates or doctors.

GS ­­­­­­­­­­­­­­­­­­­– Good Speakers

P- Post Graduates

D- Doctors

(1) 6

(2) 7

(3) 15

(4) 122

Ans. (1)

9. A person moves along a circular path by a distance equal to half the circumference in a given time. The ratio of his average speed to his average velocity is:

(1) 0.5

(2) 0.5?

(3) 0.75?

(4) 1.0

Ans. (2)

10.

A square is drawn inside the circle as shown in the figure above. If the area of the shaded portion to 32/7 units then the radius of the circle is:

(1) 2 units

(2) 2 units

(3) 3 units

(4) 4 units

Ans. (2)

11. The following figure shows the displacement time (x – t) graph of a body in motion. The ratio of the speed in first second and that in next two seconds is:

(1) 1:2

(2) 1:3

(3) 3:1

(4) 2:1

Ans. (4)

12. The below Venn diagram shows a city population which read three popular daily newspapers Hindustan Times (HT), The Times of India (TI) and Navbharat Times (NT):

If a person is randomly selected from the city population and it is found that he reads at least one of the three newspapers then the person belongs to which part of the. population?

(1) g

(2) a + b + c

(3) P-h

(4) P-g

Ans. (3)

13. Kamala got married 5 years ago.

Today her age is 1 1/4 times her age at the time of marriage. Her sons age is1/10 times her present age. What is her son’s age?

(1) 2 years

(2) 3 years

(3) 4 years

(4) 5 years

Ans. (2)
14. Consider the following:

1. Every square is a rectangle.

2. Every rectangle is a parallelogram.

3. Every parallelogram is not necessarily a square.

Which one of the following conclusions can be drawn on the basis of the above statements?

(1) All parallelograms are either squares or rectangles

(2) A non-parallelogram figures cannot be either a square or a rectangle

(3) All rectangles are either squares or parallelograms

(4) Squares and rectangles are the only parallelograms.

Ans. (2)

15. Distribution of work hours in a factory is shown in the below given table:

Number of Workers Number of hours worked

20 45-50

15 40-44

25 35-39

16 30-34

04 0-29

What is the percentage of workers worked for 40 or more hours?

(1) 40

(2) 25

(3) 33.33

(4) 43.75

Ans. (4)

16.

From the above graph, who out of the four persons A, B, C and D, saves the least percentage of his monthly income?

(1) A

(2) B

(3) C

(4) D

Ans. (3)

17.

In the above diagram square represents boys, circle represents the tall persons, triangle represents tennis players, and rectangle represents the swimmers. Which one of the following numbers .represents tall boys who are swimmers, but don’t play tennis?

(1) 4

(2) 3

(3) 6

(4) 5

Ans. (3)

18.

The carpet area of a room with dimensions shown in the above diagram is:

(1) 10 m²

(2) 12 m²

(3) 13 m²

(4) 14 m²

Ans. (3)

19.

In the figure given above BAC = 90°, EA =2 and AC =6. What is the value of BE?

(1) 2

(2) 4

(3) 6

(4) 10

Ans. (3)

20. 8 oranges cost as much as 5 apples, 5 apples as much as 3 mangoes, 4 mangoes as much as 8 pineapples. If 3 pineapples cost Rs. 36, then an orange’s cost is:

(1) Rs. 9

(2) Rs. 12

(3) Rs. 6

(4) Rs. 15

Ans. (1)

21. If a + b is defined as a ^b + b ^a, then consider:

I. 2 + x = 100

II. 4 + x = 45

III. 3 + x = 145

IV. 6 + x = 100

For which of the above is x smallest?

(1) 1

(2) Il

(3) 111

(4) IV

Ans. (4)

22. In a test a candidate attempted only 15 questions and secured full marks in all of them. If he obtained 60% marks in the test and all the questions in the test carried equal marks, the number of questions in the test is:

(1) 20

(2) 25

(3) 27

(4) 30

Ans. (2)

23. The grandfather’s age is 4 years more than nine times the age of the grandson. The father’s age of 40 years is 2 years less than six times the age of his son. The age of the grandfather is:

(1) 77 years

(2) 70 years

(3) 67 years

(4) 63 years

Ans. (3)

24. If 4 = 10^2m and 9 = 10²ⁿ, then 0.15 equals to:

(1) 10 ^2m—2n

(2) 10 ^{m + n -1}

(3) 10 ^{n-m + 1}

(4) 10 ^n-m-1

Ans. (4)

25. Among the following four diagrams, which one illustrates the relationships among citizens, voters, and males?

(1)

(2)

(3)

(4)

Ans. (3)

26. The mean age of combined group of men and women is 25 years. If the mean age of group of men is 26 and that of group of women is 21, then percentage of men and women in the group respectively is :

(1) 60, 40

(2) 80, 20

(3) 30, 70

(4) 50, 50

Ans. (2)

27. Which two figures out of the following four have the same area (with same units)?

(1) l and 3

(2) l and 2

(3) 2 and 4

(4) 1 and 4

Ans. (4)

28. Three circles are concentric as in the diagram given below. If a fourth innermost circle is drawn, what will be the number to be inscribed there?

(1) 8

(2) 7

(3) 3

(4) 1

Ans. (2)

29. The width of a rectangle is 4x which is only 25% of its length. What are the area and the perimeter of the rectangle respectively?

(1) 16 ^x2 sq unit and 16x unit

(2) 20 ^x2 sq unit and 40x unit

(3) 32 ^x2 sq unit and 64x unit

(4) 64 ^x2 sq unit and 40x unit

Ans. (4)

30. The following diagram shows a triangle with each of its sides produced both ways:

What is the sum of degree measures of the angles numbered?

(1) 720

(2) 540

(3) 1080

(4) 900

Ans. (1)

31. ‘A’ completes a work in 10 days, while ‘B’ and ‘C’ complete it in 12 and 15 days respectively. In how many days can A’, ‘B’ and ‘C’ together complete the work?

(1) 3

(2) 4

(3) 5

(4) 6

Ans. (2)