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Questions and Answers
If the HCF of 2^3 × 3^2 × 5 and 2^2 × 3^4 × 7 is 2^2 × 3^2, then the LCM of these two numbers is:
The number of digits in the smallest number which is a perfect square and is divisible by 2^3, 3^2, 5^2 is:
The number 0.aba bab... is a:
If the number 343x is divisible by 7, then the possible value of x is:
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If the numbers 2^3 × 3^2 × 5, 2^2 × 3^4 × 7 are the HCF and LCM of two numbers, then the product of these two numbers is:
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Study Notes
HCF and LCM
- HCF of 2^3 × 3^2 × 5 and 2^2 × 3^4 × 7 is 2^2 × 3^2
- LCM of 2^3 × 3^2 × 5 and 2^2 × 3^4 × 7 is the product of these two numbers divided by their HCF
Smallest Perfect Square
- The smallest number that is a perfect square and is divisible by 2^3, 3^2, 5^2 has a certain number of digits
- The number of digits is equal to the power of the highest prime factor of the given number plus 1
Repeating Decimals
- 0.aba bab... is a recurring decimal
Divisibility
- If 343x is divisible by 7, then x can be 7 or a multiple of 7
Product of Numbers
- The product of two numbers is equal to the product of their HCF and LCM
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Description
Practice challenging MCQs on Number System covering concepts like HCF, LCM, and divisibility. Suitable for CBSE Class 9 students.
