IMO Mathematics Olympiad (SOF) Class 6: Questions 139  144 of 1049
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Question number: 139
Question
Take a triangle. Three straight lines are drawn through the vertices of the triangle as shown. The maximum number of points of intersection is 3. Draw two lines through each vertex of a triangle to meet the opposite sides. What is the maximum number of points of intersection?
Find again drawing the maximum number of points of intersection when three lines are drawn through each vertex. Without drawing can you guess the maximum points of intersection for 4 lines?
Choices
Choice (4)  Response  

a.  38 

b.  48 

c.  42 

d.  40 

Question number: 140
Question
The number 6,43,590 is divisible by
Choices
Choice (4)  Response  

a.  2 

b.  6 

c.  3 

d.  All a. , b. and c. are correct 

Question number: 141
Question
Number of prime numbers from 20 to 70 are
Choices
Choice (4)  Response  

a.  11 

b.  9 

c.  16 

d.  13 

Question number: 142
Question
The two numbers nearest to 2000 which are exactly divisible by each of 2,3, 4,5 and 6 is
Choices
Choice (4)  Response  

a.  1970,2220 

b.  1969,2220 

c.  1860,2220 

d.  1940,2220 

Question number: 143
Question
Product of two integer is If one of the integers is , then the other is
Choices
Choice (4)  Response  

a. 


b.  12 

c. 


d.  6 

Question number: 144
Question
There are 378 Mangoes in a basket. A girl takes out 7 Mango from it and replaces them by 15 orange. She continues to do so, till all Mangoes are replaced by Orange. Find the number of orange put in the basket?
Choices
Choice (4)  Response  

a.  460 

b.  480 

c.  810 

d.  850 
