IMO Mathematics Olympiad (SOF) Class 8: Questions 96  103 of 1030
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Question number: 96
» Linear Equations in One Variable
Question
Solve for
Choices
Choice (4)  Response  

a.  5 

b.  10 

c.  12 

d.  3 

Question number: 97
» Linear Equations in One Variable
Question
The difference of two numbers a and b is 10 and difference of their cubes is 10. Then find the numbers b.
Choices
Choice (4)  Response  

a.  i 

b.  i 

c.  i 

d.  i 

Question number: 98
» Linear Equations in One Variable
Question
A number consists of two digits whose sum is 9. If 63 is subtracted to the number, the digits are interchanged. The number is_.
Choices
Choice (4)  Response  

a.  82 

b.  88 

c.  18 

d.  81 

Question number: 99
» Linear Equations in One Variable
Question
A number consists of two digits whose sum is 5. If 9 is added to the number, the digits are interchanged. The number is_.
Choices
Choice (4)  Response  

a.  32 

b.  23 

c.  88 

d.  31 

Question number: 100
» Linear Equations in One Variable
Question
The value of for which is_.
Choices
Choice (4)  Response  

a.  7 

b. 


c.  6 

d. 


Question number: 101
» Linear Equations in One Variable
Question
Solve for
Choices
Choice (4)  Response  

a.  9 

b. 


c.  2 

d.  1 

Question number: 102
» Linear Equations in One Variable
Question
A motor boat covers a certain distance downstream in a river in 1 hours. It covers the same distance upstream in 5 hours. The speed of the water is 6.0 km/hr. The speed of the boat in still water is_.
Choices
Choice (4)  Response  

a.  9 km/hr 

b.  19.5 km/hr 

c.  5 km/hr 

d.  11 km/hr 

Question number: 103
» Linear Equations in One Variable
Question
A number 125 is divided into two parts in the ratio 2: 3. The product of the number is_.
Choices
Choice (4)  Response  

a.  1550 

b.  3750 

c.  1250 

d.  3211 
