IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 318  323 of 968
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Question number: 318
Question
In a bangle shop, if the shopkeeper displays the bangles in the form of a square then he is left with 60 bangles with him. If he wanted to increase the size of square by one unit each side of the square he found that 31 bangles fall short of in completing the square. The actual number of bangles which he had with him in the shop was ________
Choices
Choice (4)  Response  

a.  1538  
b.  3690  
c.  2085  
d.  1999 
Question number: 319
Question
If the equation has equal roots, and then the both roots are equal to ________
Choices
Choice (4)  Response  

a.  0  
b. 
 
c. 
 
d. 

Question number: 320
Question
The expression is divisible by . Then m is a divisor of ________
Choices
Choice (4)  Response  

a.  810  
b.  810  
c.  610  
d.  610 
Question number: 321
Question
A number 32 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the lowest part.
Choices
Choice (4)  Response  

a.  6  
b.  2  
c.  10  
d.  14 
Question number: 322
Question
If , then is equal to ________
Choices
Choice (4)  Response  

a.  1333  
b.  1352  
c.  1222  
d.  1542 
Question number: 323
Question
If the sum of three consecutive terms of an increasing A. P. is 30 and the product of the first and third of these terms is 75, then the third term is ________
Choices
Choice (4)  Response  

a.  32  
b.  27  
c.  19  
d.  15 