IMO Mathematics Olympiad (SOF) Class 10: Questions 523  527 of 958
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Question number: 523
» Pair of Linear Equations in Two Variables
Question
f (x) is a fifth degree polynomial. It is given that f (x) + 1 in divisible by and is divisible by . Find f (x).
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 524
Question
While selling a watch, a shopkeeper gives a discount of. If he gives a discount of, he earns Rs. 30 less as profit. The marked price of the watch is ________
Choices
Choice (4)  Response  

a.  Rs. 1500 

b.  Rs. 1750 

c.  Rs. 1600 

d.  Rs. 1480 

Question number: 525
» Triangle, Circle & Constructions
Question
AB is a line segment is a point on AB. ACPQ and CBRS are squares drawn on the same side AB,
Choices
Choice (4)  Response  

a.  C is the orthocenter of the triangle APB. 

b.  P is the orthocenter of the triangle APB. 

c.  M is the orthocenter of the triangle APB. 

d.  S is the orthocenter of the triangle APB. 

Question number: 526
Question
A man whose bowling average is 18.2 takes 4 wickets for 46 runs and thereby decreases his average by 0.2. The number of wickets, taken by him, before his last match, is ________
Choices
Choice (4)  Response  

a.  110 

b.  130 

c.  115 

d.  140 

Question number: 527
Question
Sudhir buys a watch for Rs. . He pays half of the amount in cash and agrees to pay the balance in 12 annual instalments of Rs. 10, 000 each. If the rate of interest is and he pays with the instalment the interest due on the unpaid amount, find the total cost of the watch.
Choices
Choice (4)  Response  

a.  4, 25, 000 

b.  6, 85, 000 

c.  9, 25, 000 

d.  3, 82, 000 
