IMO Mathematics Olympiad Class 10: Questions 543  547 of 958
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Question number: 543
Question
The Noida office of HP has 2000 executives. Of these 1200 use Saurashtra mail and 700 use Gujarat mail. 200 use both Saurashtra and the Gujarat mail. If an executive is picked at random, what is the probability that he has used Gujarat mail?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 544
Question
3 men and 10 boys can do a piece of work in 8 day, 3 men and 6 boys can do the same in 10 days. 5 men and 10 boys can do 4 times the amount of this work in ________
Choices
Choice (4)  Response  

a.  52 days 

b.  32 days 

c.  42 days 

d.  22 days 

Question number: 545
Question
One year ago the ratio between Ram’s and Bharat’s salary was. The ratios of their individual salaries between last year’s and this year’s salaries are and respectively. At present the total of their salary is Rs. 1890. The salary of Ram’s now, is ________
Choices
Choice (4)  Response  

a.  Rs. 1575 

b.  Rs. 1975 

c.  Rs. 1875 

d.  Rs. 2175 

Question number: 546
Question
By selling an article for Rs. 480 a person lost. For what amount should he sell it to make a profit of?
Choices
Choice (4)  Response  

a.  Rs. 720 

b.  Rs. 800 

c.  Rs. 680 

d.  Rs. 760 

Question number: 547
Question
Divide Rs. 1335 among A, B and C so that Rs. 50 more than of A’s share, Rs. 30 more than of B’s share and Rs. 10 more than of C’s share may all be equal. What is A’s share?
Choices
Choice (4)  Response  

a.  Rs. 200 

b.  Rs. 300 

c.  Rs. 100 

d.  Rs. 400 
