# SSC CHSL (10+2) Exam Mock Test -2 "Arithmetic"

## SSC CHSL (10+2) Exam Mock Test -2 "Arithmetic"

**1. The area of a circle is 38.5 sq. cm. Its circumference (in cm) is :
**

(a) 22

(b) 24

(c) 26

(d) 32

**2. The breadth of a rectangular hall is three-fourths of its length. If
the area of the floor is 768 sq. m. then the difference between the length and
breadth of the hall is **

(a) 8 metres

(b) 12 metres

(c) 24 metres

(d) 32 metres

**3. A metallic hemisphere is melted and recast in the shape of a cone with
the same base radius (R) as that of the hemisphere. If H is the height of the
cone, then**

**4. A conical vessle whose internal radius is 12 cm and height 50 cm is
full of liquid. The contents are emptied into a cylindrical vessel with radius
(internal) 10 cm. The height to which the liquid rises in the cylindrical vessel
is **

(a) 25cm

(b) 20cm

(c) 24cm

(d) 22cm

**5. Two right circular cylinders of equal volume have their heights in the
ratio 1 : 2. The ratio of their radii is**

**6. A and B can do a work in 12 days. B and C in 15 days. C and A in 20
days. If A, B and C work together, they will complete the work in:**

**7.A is thrice as good a workman as B and therefore, able to finish a job
in 60 days less than B. Working together they will do it in:**

**8. Two pipes A and B can fill a tank in 20 minutes and 30 minutes
respectively. If both pipes are opened together, the time taken to fill the tank
is:**

(a) 50 minutes

(b) 12 minutes

(c) 25 minutes

(d) 15 minutes

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## Study Kit for SSC CHSL (10+2) Exam

**9. If 6 men and 8 boys can do a piece of work in 10 days and 266 men and
48 boys can do the same in 2 days, the time taken by 15 men and 20 boys to do
the same type of work will be:**

(a) 5 days

(b) 4 days

(c) 6 days

(d) 7 days

**10. A and B can do a work in 18 and 24 days respectively. They worked
together for 8 days and then A left. The remaining work was finished by B in:**

**11. If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he
walks at 8 km per hr, how early from the fixed time will he reach? **

**12. A boy rides his bicycle 10km at an average speed of 12 km per hr and
again travels 12 km at an average speed of 10 km per hr His average speed for
the entire trip is approximately:**

(a) 10.4km/hr

(b) 10.8 km/hr

(c) 11.0 km/hr

(d) 12.2 km/hr

**13. A train 180 m long moving at the speed of 20 m/sec. over-takes a man
moving at a speed of 10m/sec in the same direction. The train passes the man in**

(a) 6 sec

(b) 9 sec

(c) 18 sec

(d) 27 sec

**14. The distance between two cities A and B is 330 km. A train starts from
A at 8 a.m. and travels towards B at 60 km/ hr Another train starts from B at 9
a.m. and travels towards A at 75 km/hr At what time do they meet?**

(a) 10 a.m.

(b) 10 : 30 a.m.

(c) 11 a.m.

(d) 11 : 30 a.m.

**15. In covering a certain distance, the speeds of A and B are in the ratio
of 3 : 4. A takes 30 minutes more than B to reach the destination. The time
taken by A to reach the destination is**

**Directions : **A survey of film watching habits of people living in 5
cities, I, II, III, IV and V is summarised below. The column

**(a) gives percentage of film-watchers in each city who see only film a
week. The column
(b) gives the total number of film-watchers who see more than one film per week.
Read the table and answer question 16 and 20:**

**City (a)
(b)**

I
50 3200

II 30
3500

III 65
7000

IV 25
5400

V 80
2900

**16. How many film-watchers in city II see only one film a week?**

(a) 900

(b) 1500

(c) 1600

(d) 3200

**17. Which city has the highest number of film-watchers who see only one
film a week?**

(a) I

(b) II

(c) III

(d) IV

**18. The city with the lowest number of film-watcher is **

(a) I

(b) II

(c) IV

(d) V

**19. The city with the highest number of film-watchers is**

(a) I

(b) V

(c) IV

(d) III

**20. The total number of all filmwatchers in the five cities who see only
one film a week is**

(a) 31100

(b) 29500

(c) 28600

(d) 28300

**Directions: **Questions are based on the following bar graph. Read the
graph and answer the questions.

**21. What is the percentage increase in the gross traffic receipts in
1995-96 as compared to 1993-94? **

(a) 33.9%

(b) 41.5%

(c) 20.7%

(d) 17%

**22. If profit = gross traffic receipts – total expenditure, then in
1996-97, what percentage of gross traffic receipts is the profit made? **

(a) 5.9%

(b) 6.4%

(c) 7.2%

(d) 8%

**23. In which year was the profit as a percentage of gross traffic receipts
the highest? **

(a) 1997-98

(b) 1996-97

(c) 1995-96

(d) 1994-95

**24. In order to make a profit of 10%. What should have been the gross
traffic receipts (in Rs. crores) in 1994-95, total expenditure remaining the
same?**

(a) 5,667

(b) 5,876

(c) 6,444

(d) 7,667

**25. By what amount (in Rs. crores) has the expenditure increased over the
period 1993-94 to 1997-98? **

(a) 4,100

(b) 3,900

(c) 3,850

(d) 3,700

**26.
**

**27.
**

(a) 36,164

(b) 37,304

(c) 36,304

(d) 37,164

**28. On simplification of
**

(a) 1

(b) 4

(c) 5

(d) 6

**29.
**

**30. By how much does **

**31.**

**32. The value of (243) ^{0.16}× (243)^{0.04} is equal to:**

**33. The simplification of gives:**

(a) 0.01

(b) 0.001

(c) 0.1

(d) 0.02

**34.
**

(a) 2

(b) 2.5

(c) 3

(d) 3.5

**35. 5 – [4 – {3 – (3 – 3 – 6)}] is equal to:**

(a) 10

(b) 6

(c) 4

(d) 0

**36. If the square root of 841 is 29, then 0.00000841 is equal to :**

(a) 0.029

(b) 0.0029

(c) 0.00029

(d) 0.29

**37.
**

(a) 12

(b) 16

(c) 18

(d) 24

**38. If a * b = 2a – 3b + ab, then 3 * 5 + 5 * 3 is equal to:**

(a) 22

(b) 24

(c) 26

(d) 28

**39. What is the square root of 0.09?**

(a) 0.3

(b) 0.03

(c) 0.003

(d) 3.0

**40.
**

(a) 52

(b) 54

(c) 58

(d) 512

**41.**

(a) 132°

(b) 144°

(c) 48°

(d) 96°

**42. In the following figure, find x**

(a) 40°

(b) 25°

(c) 30°

(d) 45°

**43. **

(a) 110°

(b) 120°

(c) 115°

(d) 130°

**44. Find x in the given figure**

(a) 13 cm

(b) 12 cm

(c) 16 cm

(d) 15 cm

**45. **

(a) 20°

(b) 40°

(c) 15°

(d) 735°

**46. The following points (3a, 0), (0, 3b), (a, 2b) forms a **

(a) straight line

(b) triangle

(c) equilateral triangle

(d) None of these

**47. The points A(–1, 4), B(5, 2) are the vertices of a triangle of which
C(0,–3) is centroid, then the third vertex C is **

(a) 4, 15

(b) 4, –15

(c) –4, –15

(d) None of these

**48. **

(a) 60°

(b) 45°

(c) 30°

(d) None of these

**49. Which of the following expression is a polynomial in two variables?**

(a) x^{2} – 2xy + y^{2} – x + y

(b) x^{3} + y^{3} + z^{3} –1

(c) x^{2} + 3x + 2

(d) x^{2} – 2x^{2} + 3x + 5

**50. The degree of the polynomial 2x ^{3} – 5x^{2} + x – 3
is **

(a) 2

(b) 3

(c) 1

(d) 0

__ANSWERS__

**1.(I) 2.(l) 3.(l) 4. (c) 5. (a) 6. (c) 7. (b) 8. (b) 9. (b)
10. (b) 11. (c) 12. (b) 13. (c) 14. (c) 15. (c) , 16. (b) 17. (c) 18. (b) 19. (d) 20. (a) 21. (b)
22. (a) 23. (d) 24. (c) 25. (d) 26. (a) 27. (c) 28. (c) 29. (c) 30. (c) 31. (a) 32. (b) 33. (a) 34.
(l) 35. (a) 36. (b) 37.(a) 38. (a) 39. (a) 40. (b) 41.(a) 42. (a) 43. (a) 44. (a) 45. (a) 46.
(a) 47. (c) 48. (b) 49. (a) 50. (b)**