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If D={x: x is a positive factor of 48 and x<10}, what is D?

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Answer and explanation

Correct answer: D={1,2,3,4,6,8}

The governing concept is intersection of two conditions: being a positive factor of 48 and being less than 10. Checking the divisors gives 1,2,3,4,6,8 below 10; each divides 48 exactly. The factor 12 is too large, while 9 and 10 are not factors of 48. Thus option A contains precisely all valid members and is correct.

Related tags

SetsFactorsDivisibilityClass 9 McqNumber SystemsMathematics

Frequently asked questions

What is the correct answer to this question?

D={1,2,3,4,6,8}

Why is this the correct answer?

The governing concept is intersection of two conditions: being a positive factor of 48 and being less than 10. Checking the divisors gives 1,2,3,4,6,8 below 10; each divides 48 exactly. The factor 12 is too large, while 9 and 10 are not factors of 48. Thus option A contains precisely all valid members and is correct.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems.

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