# (Paper) SSC: Section Officer (Audit) Exam Paper Year 2008 (Arithmetic Paper - 2)

## SSC: Section Officer (Audit) Exam Paper Year 2008

## (Arithmetic Paper - 2)

**Exam Name:** Section
Officer (Audit) Paper II**
Conducted By: **Staff Selection Commission (SSC)

**November 30, 2008**

Conducted On:

Conducted On:

**100**

Maximum Marks:

Maximum Marks:

**2 Hours**

Time Allowed:

Time Allowed:

**Zero (No Negative Marking)**

Negative Marking:

Negative Marking:

**Conventional Type (Descriptive/Subjective)**

Type of Questions:

Type of Questions:

**This is in continuation of the
SSC Section Officer (Audit) Examâ€™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]