G J Tutorial

SSC Section Officer (Audit) PAPER II - ARITHMETIC: Nov 2008

Exam Name: Section Officer (Audit) Paper II

Conducted By: Staff Selection Commission (SSC)

Conducted On: November 30, 2008

Maximum Marks: 100

Time Allowed: 2 Hours

Negative Marking: Zero (No Negative Marking)

Type of Questions: Conventional Type (Descriptive/Subjective)

This is in continuation of the SSC Section Officer (Audit) Exam’s Paper I. Paper II consisted of Arithmetic of class X level.

PAPER II - ARITHMETIC

1. A man spends 75% of his income, when his income is increased by 20%, he increases his expenditure by 10%. By how much per cent are his savings increased? [4]

2. The marked price of a watch is Rs. 400. After allowing a discount of 25% on the marked price, there was a loss of Rs. 20. Determine the loss per cent. [4]

3. The average of the squares of five consecutive positive integers is 66. Find the average of these five integers. [4]

4. The radii of three concentric circles are in the ratio 1: 2: 3. Find the ratio of the area between the two inner circles to that between the two outer circles. [4]

5. A dealer allows a discount of 12% on the marked price. How much per cent above the cost price, must he mark his goods so as to make a profit of 10%? [4]

6. From a 5 litres of 20% solution of alcohol in water, 2 litres of solution is taken out and 2 litres of water is added to it. Find the strength of alcohol in the new solution. [6]

7. A alone can complete a piece of work of Rs. 300 in 6 days; but by engaging an assistant, the work is completed in 4 days. Find the share to be received by the assistant. [6]

8. The marked price of a watch was Rs. 820. A man bought the same for Rs. 570.72 after getting two successive discounts of which the first was 20%. Find the rate of second discount. [6]

9. A shopkeeper mixes two varieties of tea - one costing Rs. 75 per kg and the other costing Rs. 50 per kg in the ratio 3: 2. If he sells the mixed variety at Rs. 62.40 per kg, find his gain or loss per cent.

10. The average of the age of a husband and wife, five years ago, was 25 years. The average of the present age of husband, wife and a child, born during the time, is 21 years. Determine the present age of the child. [6]

11. A train, 100 m long travelling at 60 km/hr passes another train, twice as fast as this train and travelling in opposite direction, in 10 seconds. Find the length of the second train. [6]

12. If the difference between compound interest, compounded half-yearly, and simple interest on a sum of money at 8% per annum for 1 year is Rs. 30, find the sum. [6]

13. If x: a = y: b = z: c, then show that

[(ax-by)/(a+b) (x-y)] + [(by-cz)/(b+c) (y-z)] + [(cz - ax)/(c+a) (z-x)] = 3

[6]

14. A and B can complete a piece of work in 8 and 10 days respectively. However, they work alternately, one day each, with A beginning the work. In how much time will the work be completed? [8]

15. A and B are partners in a business. If B invested 1/5th of the capital for 10 months and received 1/3rd of the profit after one year, then determine for how many months A invested his capital. [8]

16. Water is flowing at the rate of 5 km/hr through a cylindrical pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide. Determine the time in which the level of water in the tank will rise by 7 cm. [8]

17.

The pie-chart, given above, shows various modes of transport used by 2400 officers of an organisation in a city to reach their office. Study the chart and answer the following questions:

(i) How many officers travel to their office by Metro Rail? [2]

(ii) How many more officers travel by two-wheelers than those travelling by cars? [2]

(iii) What should be the corresponding central angle in the n -chart for showing officers travelling by bus? [2]

(iv) How many officers do not take Metro Rail, a bus, a car or a two-wheeler as their mode of transport in reaching their office? [2]

If you missed Paper I you can find it here:

SSC Section Officer (Audit) Paper I: Patt A (English Language)

SSC Section Officer (Audit) Paper I: Part B (General Awareness)

Tags: Arithmetic, Audit, Section Officer, SSC

Sample Paper - Arithmetic for SSC Tax Assistant Recruitment

Sample Paper for SSC Section Officer Exam was a great hit. Second in the series is the Sample Paper for Maths (Arithmetic).

1. The LCM of 2/9, 4/15 & 1/30 is how many times the HCF of 7/15, 21/40 & 14/15?

1. 160/7 2. 7/160 3. 120/7 4. 90/7

2. 0.0874 + 1.236 - 0.0012 + ? = 1.489

1. 0.1568 2. 0.1578 3. -0.1668 4. 0.1658

3. 30% of 300 - 40% of 400 + 50% of 500 = ?

1. 1800 2. 180 3. 18 4. 18000

4. If 243 x 162 = 39366, then 3936.600 ÷ 0.243 = ?

1. 1620 2. 16200 3. 162 4. 162000

5. 114.01 + 222.01 + ? = 400

1. 63.98 2. 43.78 3. 736.02 4. -53.98

6. The difference between the circumference and the radius of a circle is 37 cm (use p = 22 / 7). The diameter of the circle is

1. 7 cm 2. 14 cm 3. 33 cm 4. 37 cm

7. The LCM of two multiples of 12 is 1056. If one of the numbers is 132, the other number should be

1. 12 2. 72 3. 96 4. Data inadequate

8. The average of seven results is 5; the average of first three is 3, and that of the last three is 7. The fourth result is

1. 6 2. 5 3. 4 4. 3

9. A man walking at the speed of 4 kmph crosses a square field diagonally in 3 minutes. The area of the field is

1. 20000 sq m 2. 25000 sq m 3. 18000 sq m 4. 19000 sq m

10. The area of a rectangular field is 144 sq m. If the length is increased by 5 m, its area increases by 40 sq m. The length of the field is

1. 12 m 2. 14.4 m 3. 16 m 4. 18 m

11. A, B and C are partners and make a profit of Rs. 4800 which is distributed among them in the ratio 6:5:4. The difference of the amounts A and C received is

1. Rs. 640 2. Rs. 1290 3. Rs. 1280 4. Rs. 1600

12. A, B, & C enter into a partnership with investments in the ratio 3:4:9. If at the end of the year, B’s share of profit is Rs. 6175, what is the total profit?

1. Rs. 24300 2. Rs. 24600 3. Rs. 24700 4. Rs. 24100

13. X and Y enter into a partnership. X contributes Rs. 8000 and Y contributes Rs. 10000. At the end of six months they introduce Z, who contributes Rs. 6000. After the lapse of three years, they find that the firm has made a profit of Rs. 9660. Find the share of each.(in Rs.)

1. X-3240, Y-4200, Z-2200 2. X-3360, Y-4400, Z-2100 3. X-3360, Y-4200, Z-2100 4. 3260, Y-4000, Z-2200

14. Umedh Singh and Zorawar Singh invested in a business. They earned some profit which they divided in the ratio 2:3. If Umedh Singh invested Rs. 24, the amount invested by Zorawar Singh was

1. Rs. 36 2. Rs. 16 3. Rs. 30 4. Rs. 48

15. Abdul and Aamir invest respectively Rs. 30000 and Rs. 40000 in a business. Abdul receives Rs. 100 per month out of the profit for running the business and the rest of the profit is divided in proportion to the investments. If in a year Abdul totally receives Rs. 3900, what does Aamir receive?

1. Rs. 3500 2. Rs. 3600 3. Rs. 3900 4. Rs. 4200

16. 7 women and 6 men can do what 4 men and 11 women can do in the same time. 19 women can do the same job in how much time?

1. Same 2. Half 3. One-third 4. Two-third

17. If A can walk a certain distance in 40 days when he takes rest 9 hours each day; how much long will he take to walk the same distance twice as fast and rest twice as long each day?

1. 50 days 2. 45 days 3. 38 days 4. 16 days

18. If 20 men or 25 women or 30 boys can do a piece of work in 16 days by working 10 hours a day, then how many men with 10 women and 18 boys can do 3 ¼ times the same work in 26 days by working 8 hours daily?

1. 35 men 2. 30 men 3. 40 men 4. 48 men

19. Some persons can do a job in 12 days. Two times the number of those persons will do half of that job in

1. 6 days 2. 4 days 3. 12 days 4. 3 days

20. 400 men working 9 hrs a day complete ¼ th of the work in 10 days. The number of additional men, working 8 hrs a day, required to done the remaining work in 20 days is

1. 675 2. 275 3. 250 4. 225

21. 25% of 240 will be how much more than 33.33% of 180?

1. 5 2. 10 3. 6 4. Nil

22. 350% of a number is what percent of 250% of that number?

1. 40% 2. 44% 3. 140% 4. 71%

23. If the length of a rectangle is increased by 20% and the width decreased by 20%, the area of the rectangle will

1. Decrease by 4% 2. Increase by 4%

3. Decrease by 1% 4. Not change at all

24. A shopkeeper increases the price of a commodity by 25% and again increases it by 20%. The net percent increase is

1. 45% 2. 40% 3. 50% 4. 47%

25. The cost of a pant is 60% of the cost of a coat and 300% of the cost of a shirt. If all three cost Rs. 2160, the cost of the shirt will be

1. Rs. 290 2. Rs. 280 3. Rs. 360 4. Rs. 240

26. If sold for Rs. 247.50, an object gives a profit of 12.5%. The cost price is

1. Rs. 210 2. Rs. 220 3. Rs. 224 4. Rs. 225

27. A fruit seller purchases oranges at the rate of 3 for Rs. 5 and sells them at 2 for Rs. 4. His profit in the transaction is

1. 20% 2. 25% 3. 15% 4. 10%

28. A merchant sold his goods for Rs. 75 at a profit percent equal to the cost price. His cost price is

1. Rs. 50 2. Rs. 60 3. Rs. 80 4. Rs. 100

29. A man buys an article at ¾ th of its value and sells it for 20% more than its value. His profit based on the cost is

1. 45% 2. 50% 3. 60% 4. 75%

30. The LCM of numbers 12, 18, & 24 is how much more than their HCF?

1. 66 2. 69 3. 70 4. 72

31. Find the minimum number of square tiles of equal size for the floor of a room which is 1 m 4 dm 7 cm long and 1 m 8 dm 2 cm wide.

1. 250 2. 266 3. 140 4. 145

32. The average of first five prime numbers is

1. 5.40 2. 5.70 3. 5.60 4. 5.80

33. The average weight of 8 men is increased by 1.5 kg when one of them who weighs 65 kg is replaced by a new man. The weight of the new man is

1. 76 kg 2. 76.5 kg 3. 76.7 kg 4. 77 kg

34. A man distributed Rs. 100 equally among his friends. If there had been five more friends, each would have received one rupee less. How many friends did he have?

1. 20 2. 30 3. 40 4. 50

35. In an exam, the average was found to be 50 marks. After detecting computer errors, the marks of 100 candidates had to be changed from 90 to 60 each and the average came down to 45. The total number of candidates who took the exam was

1. 600 2. 700 3. 500 4. 400

Answers

1. 15221 6.23214 11.13312 16.11242 21.43134 26.21131 31.53411

Other Sample Papers

Clerical Exams:

http://www.gjtutorial.com/news/ 2008/08/sample-paper-for-clerical-exams/

Bank PO:

http://www.gjtutorial.com/news/ 2008/07/sample-paper-bank-probationary-officer-recruitment-exam/

Computer:

http://www.gjtutorial.com/news/ 2008/08/computer-awareness-sample-paper/

IT Officer:

http://www.gjtutorial.com/news/ 2008/08/bank-it-specialist-computer-officer-exam-sample-paper/

NOTE: We will not be responsible for any error or wrong information that may creep in, though every care has been taken to avoid these.

Contact for Coaching/Syllabus/Notes/Sample Papers

[Notes Available with Sample Questions]

GJ Tutorial

#3094, Sector 37D

Chandigarh

Phone: 9815140596, 9855171046

Contact US: Contact Us (Fill an Information Form to send direct E-Mail)

E-Mail: info@gjtutorial.com

SMS “NOTES” to 9855171046

TO BUY NOTES

Tags: Arithmetic, PO, Recruitment, Sample Paper, SSC, Tax Assistant