IMO Mathematics Olympiad Class 10: Questions 71  77 of 908
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 908 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 450.00 or
Question number: 71
Question
Sum of squares of the two consecutive natural numbers is 113. The two consecutive numbers respectively________
Choices
Choice (4)  Response  

a.  1 and 2 

b.  3 and 4 

c.  7 and 8 

d.  4 and 5 

Question number: 72
Question
The product of two consecutive natural numbers is always ________
Choices
Choice (4)  Response  

a.  A prime number 

b.  An odd number 

c.  Divisible by 3 

d.  An even number 

Question number: 73
Question
If , then b equals________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 74
Question
Rationalizing factor of is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 75
Question
A circular field has a circumference of 600 km. Two cyclists Sumeet and Samrat start together and can cycle at speeds of 15 km/hr and 20 km/hr respectively round the circular field. After how many hours will they meet again at the starting point?
Choices
Choice (4)  Response  

a.  160 hrs 

b.  90 hrs 

c.  100 hrs 

d.  120 hrs 

Question number: 76
Question
is equal to ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 77
Question
________
Choices
Choice (4)  Response  

a.  48 

b.  24 

c.  96 

d.  12 
