IMO Mathematics Olympiad (SOF) Class 8: Questions 725  733 of 1029
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Question number: 725
Question
Find the least value of x for which 7x5462 is divisible by 9.
Choices
Choice (4)  Response  

a.  5 

b.  3 

c.  2 

d.  4 

Question number: 726
Question
When a certain number is multiplied by 13, the product consists entirely of fives. The smallest such number is________.
Choices
Choice (4)  Response  

a.  4273 

b.  4271 

c.  4275 

d.  4256 

Question number: 727
Question
If is divided by 5 leaves a remainder of 4, then one’s digit of must be________.
Choices
Choice (4)  Response  

a.  Either 9 or 4 

b.  Either 1 or 4 

c.  Either 5 or 4 

d.  All of the above 

Question number: 728
Question
If the 3digit number 14x is divisible by 9, then the value of x is________.
Choices
Choice (4)  Response  

a.  2 

b.  5 

c.  3 

d.  4 

Passage
Adjoing pie chart gives the expenditure (in percentage) on various items and saving of a family during a month.
Draw a pie chart below to show this data. Show your scale on the vertical axis and label the bars.
Question number: 729 (1 of 9 Based on Passage) Show Passage
Question
Expenditure is minimum on ________.
Choices
Choice (4)  Response  

a.  Education for children 

b.  Transport 

c.  Food 

d.  House rent 

Question number: 730 (2 of 9 Based on Passage) Show Passage
Question
Expenditure is maximum on ________.
Choices
Choice (4)  Response  

a.  House rent 

b.  Food 

c.  Education for children 

d.  Transport 

Question number: 731 (3 of 9 Based on Passage) Show Passage
Question
Expenditure on clothes is________.
Choices
Choice (4)  Response  

a.  12% 

b.  20% 

c.  10% 

d.  15% 

Question number: 732 (4 of 9 Based on Passage) Show Passage
Question
If the monthly saving of the family is Rs. 4000, then the monthly expenditure on transport is________.
Choices
Choice (4)  Response  

a.  1333.33 Rs 

b.  1500.25 Rs 

c.  1111.40 Rs 

d.  2000.21 Rs 

Question number: 733 (5 of 9 Based on Passage) Show Passage
Question
If the monthly saving of the family is Rs. 3000, then the monthly expenditure on clothes is________.
Choices
Choice (4)  Response  

a.  500 Rs 

b.  2000 Rs 

c.  1000 Rs 

d.  1500 Rs 
