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Worksheet 3 – IMO Level 2
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Question 1 of 10
1. Question
1 metre = ______ millimetres
Correct
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Correct Answer: 1000 mm
Explanation: 1 metre = 100 cm = 100 X 10 mm = 1000 mm 
Question 2 of 10
2. Question
How many 6 digit numbers are there ?
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Correct Answer:
900000
Explanation: (Greatest six digit number – smallest six digit number )+ 1 = (999999 – 100000) + 1 = 8999999 + 1 = 900000 
Question 3 of 10
3. Question
Insert > , < , = to make the statement true : MLX + XXV ___ MDC + XC
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Incorrect
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Correct Answer: < Explanation: MLX + XXV = 1060 + 25 = 1085 MDC + XC = 1600 + 90 = 1690 
Question 4 of 10
4. Question
Assertion (A): LCM of 13 and 56 is 1.
Reason(R): LCM of two co prime numbers is 1.Correct
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Correct Answer:
Both A and R are correct and R is the correct explanation of A 
Question 5 of 10
5. Question
Category: ACHIEVERS SECTIONThe least number which will divide 5, 12 , 15 , 18 leaving a remainder of 3 in each case is
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Correct Answer:
183
Explanation: LCM of 5 , 12 , 15 , 18 is
Short cut method for finding LCM. Largest of the given numbers is 18 . Multiples of 18 are 18 , 36 , 54 , 72 , 90 , 108 , 126 , 144 , 162 , 180
180 is divisible by 5 , 12 , 15 ,18 so 180 is the LCM of the given numbers 5 ,12,15,18 and is divisible by each of them .
180 + 3 = 183 is the required least number that is divisible by all the given numbers leaving remainder 3 in each case. 
Question 6 of 10
6. Question
The HCF of two numbers is 36 and LCM of two numbers is 338 . If one of the numbers is 24 , the other number is
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Incorrect
OOPS! Incorrect Answer
Correct Answer:
507
Explanation: The required number = ( 36 X 338 ) ÷ 24 = 507 
Question 7 of 10
7. Question
How many prime numbers are there from 1 to 50 ?
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Correct Answer:
15
Explanation: Prime numbers less than 50 are 2 , 3 , 5 , 7, 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37 , 41 , 43 , 47 
Question 8 of 10
8. Question
Which of the following pair of numbers are coprimes ?
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Correct Answer:
12 , 35
Explanation: Coprime numbers are the numbers which have no other factor in common other than 1. 
Question 9 of 10
9. Question
A number is always divisible by 12 if it is divisible by both
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Correct Answer:
3 , 4 
Question 10 of 10
10. Question
Category: LOGICAL REASONINGIf ‘+’ stands for ‘÷’ , ‘÷‘ stands for ‘‘ and ‘X’ stands for ‘+’ then 14 + 7 X 12 ÷ 6 =
Correct
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Incorrect
OOPS! Incorrect Answer
Correct Answer:
8
Explanation: 14 + 4 X 12 ÷ 6 = 14 ÷ 7 + 12 – 6 = 2 +12 – 6 = 8