# SSC CHSL (10+2) Exam Mock Test -3 "Arithmetic"

## SSC CHSL (10+2) Exam Mock Test -3** "Arithmetic"**

**1. A man buys 12 articles for Rs. 12/- and sells them at the rate of Rs. 1.25 per article. His gain percentage is **

(a) 20

(b) 25

(c) 15

(d) 18

**2. The cost price of 15 articles is same as the selling price of 10 articles. The profit per cent is:**

(a) 30%

(b) 40%

(c) 50%

(d) 45%

**3. By selling an article for Rs. 240, a man incurrs a loss of 10%. At what price should he sell it, so that he makes a profit of 20% ? **

(a) Rs. 264

(b) Rs. 288

(c) Rs. 300

(d) Rs. 320

**4. A house and a shop were sold for Rs. 1 lakh each. In this transaction, the house sale resulted into 20% loss whereas the shop sale into 20% profit. The entire transaction resulted in **

**5. If a man estimates his loss as 20% of the selling price, then his loss per cent is **

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**6**

(a) 3: 2: 1

(b) 1: 2: 6

(c) 1: 3: 6

(d) 2: 4: 6

**7**

(a) Rs. 200, Rs. 800, Rs. 250

(b) Rs. 200, Rs. 900, Rs. 150

(c) Rs. 150, Rs. 800, Rs. 300

(d) Rs. 200, Rs. 900, Rs. 75

**8. The ratio of two numbers is 3 :8 and their difference is 115. The smaller of the two numbers is**

(a) 184

(b) 194

(c) 69

(d) 59

**9. Between two consecutive years my incomes are in the ratio of 2 : 3 and expenses in the ratio 5 : 9. If my income in the second year is Rs. 45000 and my expenses in the first year is Rs. 25000 my total savings for the two years is**

(a) Nil

(b) Rs. 15000

(c) Rs. 10000

(d) Rs. 5000

**10. Rs. 180 contained in a box consists of one rupee, 50 paise and 25 paise coins in the ratio 2 : 3 : 4. What is the number of 50 paise coins? **

(a) 60

(b) 120

(c) 150

(d) 180

**11. Of the three numbers whose average is 60, the first is one fourth of the sum of the others. The first number is **

(a) 30

(b) 36

(c) 42

(d) 45

**12. The average of 11 numbers is 10.8. If the average of the first six be 10.4 and that of the last six is 11.5, then the middle (6th) number is **

(a) 10.3

(b) 12.6

(c) 13.5

(d) 15.5

**13. The average age of 12 players of a team is 25 years. If the captain’s age is included, the average age increases by 1 year. The age of the captain is :**

(a) 25 yrs.

(b) 38 yrs.

(c) 36 yrs.

(d) 26 yrs.

**14. The average income of 40 persons is Rs. 4200 and that of another 35 persons is Rs. 4000. The average income of the whole group is: **

(a) Rs. 4100

(b) Rs. 4106 3

(c) Rs. 410623

(d) Rs. 4108 3

**15. The length of the diagonal of a square is ‘a’ cm. Which of the following represents the area of the square (in sq. cm.) ?**

**16. If the volumes of two cubes are in the ratio 27: 1, the ratio of their edges is **

(a) 3 : 1

(b) 27 : 1

(c) 1 :3

(d) 1 : 27

**17. The sides of a rectangular plot are in the ratio 5:4 and its area is equal to 500 sq.m. The perimeter of the plot is **

(a) 80m.

(b) 100m.

(c) 90m.

(d) 95m.

**18. The radius of a wheel is 21 cm. How many revolution will it make in travelling 924 metres? **

(a) 7

(b) 11

(c) 200

(d) 700

**19. The edges of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88cm2. The volume of the cuboid is: **

(a) 120 cm^{3}

(b) 64 cm^{3}

(c) ,48 cm^{3}

(d) 24 cm^{3}

**20. The area of a sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is**

(a) 8.5 cm^{2}

(b) 8.75 cm^{2}

(c) 7.75 cm^{2}

(d) 7.50 cm^{2}

**21. **

**22. A solid metallic cone of height 10 cm, radius of base 20 cm is melted to make spherical balls each of 4 cm. diameter. How many such balls can be made ? **

(a) 25

(b) 75

(c) 50

(d) 125

**23. The height of a conical tank is 60 cm and the diameter of its base is 64cm. The cost of painting it from outside at the rate of Rs. 35 per sq. m. is**

(a) Rs. 52.00 approx.

(b) Rs. 39.20 approx.

(c) Rs. 35.20 approx.

(d) Rs. 23.94 approx.

**24. A cylindrical tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by :**

**25. A and B can do a piece of work in 72 days. B and C can do it in 120 days, A and C can do it in 90 days. In how many days all the three together can do the work ? **

(a) 80 days

(b) 100 days

(c) 60 days

(d) 150 days

**26. Suman can do a work in 3 days. Sumati can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Suman ? **

(a) Rs. 30

(b) Rs. 60

(c) Rs. 70

(d) Rs. 75

**27. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A, is open all the time and B and C are open for one hour each alternatively, the tank will be full in**

**28. 5 men can do a piece of work in 6 days while 10 women can do it in 5 days. In how many days can 5 women and 3 men do it ? **

(a) 4

(b) 5

(c) 6

(d) 8

**29. A can do a piece of work in 12 days and B can do it in 18 days. They work together for 2 days and then A leaves. How long will B take to finish the remaining work? **

(a) 6 days

(b) 8 days

(c) 10 days

(d) 13 days

**30.**

(a) 36

(b) 64

(c) 90

(d) 120

**31. A person travels 600 km by train at 80km/hr, 800 km by ship at 40 km/hr. 500 km by aeroplane at 400 km/hr and 100 km by car at 50km/hr. What is the average speed for the entire distance ?**

.

**32. A train 100m long is running at the speed of 30 km/ hr. The time (in second) in which it will pass a man standing near the railway line is**

(a) 10

(b) 11

(c) 12

(d) 15

**33. Two men are standing on opposite ends of a bridge of 1200 metres long. If they walk towards each other at the rate of 5m/minute and 10m/minute respectively, in how much time will they meet each other ? **

(a) 60 minutes

(b) 80 minutes

(c) 85 minutes

(d) 90 minutes

**34. An aeroplane covers a certain distance at a speed of 240 km. per hour in 5 hours. To cover the same distance ** **in hours, it must travel at a speed of**

(a) 300 km./hr.

(b) 360 km./hr.

(c) 600 km./hr.

(d) 720 km./hr.

**Directions: **A survery of film watching habits of people living in five cities P, Q, R, S and T is summarised below in a table. The coulmn I in the table gives percentage of film-watchers in each city who see only one film a week. The column II gives the total number of film-watchers who see two or more films per week.

Read the table and answer the questions from 35 to 39

**City I II**

P 60 24,000

Q 20 30,000

R 85 24,000

S 55 27,000

T 75 80,000

**35. How many film watchers in city R see only one film in a week ?**

(a) 24850

(b) 36000

(c) 136000

(d) 160000

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

(a) P

(b) R

(c) S

(d) T

**37. A city with the lowest number of film-watchers is **

(a) P

(b) Q

(c) R

(d) S

**38. The highest number of filmwatchers in any given city is**

(a) Q

(b) R

(c) S

(d) T

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

(a) 113000

(b) 425200

(c) 452500

(d) 500000

**Directions: **The following graph gives Sales, Expense and Capital of a company for a period of five years 1994 to 1998. .Read the graph and answer the questions

40 to 44.

**40. What has been the simple average growth rate per annum of expense between 1994 and 1998?**

(a) 25%

(b) 33 3

(c) 40%

(d) 130%

**41. In which year was the Sales to Expense ratio the lowest? **

(a) 1994

(b) 1996

(c) 1997

(d) 1998

**42. What was the average per annum increase in sales (in Rs. cr.) from 1994 to 1998 ? **

(a) 50

(b) 60

(c) 80

(d) 100

**43. In which year was the ratio of profits to capital the highest? **

(a) 1998

(b) 1995

(c) 1996

(d) 1997

**44. In which year was the ratio of sales to capital the lowest ? **

(a) 1998

(b) 1997

(c) 1996

(d) 1995

**45. Find x in the adjoining figure**

(a) 1.6 cm

(b) 2.2 cm

(c) 3 cm

(d) 2.6 c

**46.**

(a) 50°, 100°

(b) 30°, 60°

(c) 45°, 90°

(d) 25°, 50°

**47. Find the intercepts made by the line 2x – 3y + 6 = 0 with the coordinate axes.**

(a) 3, 2

(b) –3, 2

(c) –3, –2

(d) None of these

**48. The equation of the line whose intercept on the axes are 4 and 3 is**

(a) 3x – 4y =10

(b) 3x + 4y =12

(c) –3x + 4y = 5

(d) None of these

**49. Which of the following expression is a monomial?**

(a) x

(b) –y^{2}

(c) 2x^{3}

(d) All the three

**50. **