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ARITHMETIC TEST

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

The average of the numbers

 1, 2, 3, ... 98, 99, x1,\ 2,\ 3,\ ...\ 98,\ 99,\ x  is  100x100x . What is  xx ?  

a)

 49101\frac{49}{101}  

b)

 50101\frac{50}{101}  

c)

 12\frac{1}{2}  

d)

 51101\frac{51}{101}  

e)

 5099\frac{50}{99}  

2.

 There is a list of seven numbers. The average of the first four numbers is  55 , and the average of the last four numbers is  88 .  If the average of all seven numbers is  6476\frac{4}{7} then the number common to both sets of four numbers is 

a)

 5375\frac{3}{7}  

b)

 66  

c)

 6476\frac{4}{7}  

d)

 77  

e)

 7377\frac{3}{7}  

3.

Parvesh bought 80 kg of rice for Rs. 760 and sold it at a loss of as much money as he received for 15 kg rice. At which price did he sell the rice?

a)

Rs. 8 / kg

b)

Rs. 8.5 / kg

c)

Rs. 9 / kg

d)

Rs. 10 / kg

e)

Rs. 10.6 / kg

4.

On a trip to the beach, Anh traveled 50 miles on the highway and 10 miles on a coastal access road. He drove three times as fast on the highway as on the coastal road. If Anh spent 30 minutes driving on the coastal road, how many minutes did his entire trip take?

a)

50

b)

70

c)

80

d)

90

e)

100

5.

Yesterday Han drove 1 hour longer than Ian at an average speed 5 miles per hour faster than Ian. Jan drove 2 hours longer than Ian at an average speed 10 miles per hour faster than Ian. Han drove 70 miles more than Ian. How many more miles did Jan drive than Ian?

a)

120

b)

130

c)

140

d)

150

e)

160

6.

An engineer can finish a highway section in 3 days with his present supply of a certain type of machine. However, with 3 more of these machines the job could be done in 2 days. If the machines all work at the same rate, how many days would it take to do the job with one machine?

a)

6

b)

12

c)

15

d)

18

e)

36

7.

Alex can paint a room in 3 hours. Working together efficiently without overlapping, Alex and Chris can paint it in 72 minutes. How many minutes would it take Chris to paint it alone?

a)

108

b)

120

c)

144

d)

180

e)

240

8.

How many liters of 20% vinegar solution should be added to 4 liters of 50% vinegar solution to make a 30% vinegar solution?

a)

2

b)

4

c)

6

d)

8

e)

10

9.

On a certain trading day Stock XXX declined $.27 or 4% of its value. What was the value of the stock at the end of the trading day?

a)

$6.48

b)

$6.75

c)

$6.90

d)

$7.02

e)

$7.10

10.

You lit a candle at 10:00 o’clock, and noticed that at 11:00 o’clock the candle was 2/3 of the size it was at 10:45. Assuming the candle burns at a constant rate, at what time will it be gone completely?

a)

1:00

b)

11:30

c)

11:15

d)

12:00

e)

12:30