IMO Mathematics Olympiad Class 10: Questions 515  519 of 958
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Question number: 515
Question
Kamla got married 6 years ago. Today her age is times her age at the time of marriage. Her son’s age is times her age. Her son’s age is ________
Choices
Choice (4)  Response  

a.  5 years 

b.  3 years 

c.  4 years 

d.  2 years 

Question number: 516
Question
2 men and 7 boys can do a piece of work in 14 day, 3 men and 8 boys can do the same in 11 days. 8 men and 6 boys can do 3 times the amount of this work in ________
Choices
Choice (4)  Response  

a.  18 days 

b.  36 days 

c.  24 days 

d.  21 days 

Question number: 517
Question
P is twice good a workman as Q and therefore is able to finish a job in 30 days less than Q. Working together they can do it in ________ days.
Choices
Choice (4)  Response  

a.  40 

b.  50 

c.  20 

d.  30 

Question number: 518
Question
28 integers are chosen from the interval [104, 208]. Show that there exit two of them having a common prime divisor.
Choices
Choice (4)  Response  

a.  2 

b.  0 

c.  3 

d.  1 

Question number: 519
Question
One year ago the ratio between Laxman’s and Gopal’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. 4160. The salary of Laxman now, is ________
Choices
Choice (4)  Response  

a.  Rs. 3120 

b.  Rs. 1600 

c.  Rs. 2560 

d.  Rs. 1040 
