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If (n=2^4\times3\times5^2), by which of the following will (n) not be divisible?
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Answer and explanation
Correct answer: 48
Step 1: In (n), the powers are (2^4), (3^1), and (5^2). Step 2: (48=2^4\times3), so divisibility by 48 is possible. Step 3: (80=2^4\times5), (75=3\times5^2), and (150=2\times3\times5^2) are also present; hence all given options divide (n).
Frequently asked questions
What is the correct answer to this question?
48
Why is this the correct answer?
Step 1: In (n), the powers are (2^4), (3^1), and (5^2). Step 2: (48=2^4\times3), so divisibility by 48 is possible. Step 3: (80=2^4\times5), (75=3\times5^2), and (150=2\times3\times5^2) are also present; hence all given options divide (n).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Fundamental Theorem of Arithmetic.
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