Fundamental Theorem of Arithmetic MCQs
Practice Fundamental Theorem of Arithmetic multiple-choice questions from Real Numbers (Class 10 Maths) - tap an answer for instant feedback and a step-by-step solution. Practice the full set free on the RankByte app.
Fundamental Theorem of ArithmeticQuiz - Solve & Score
Q1. How many factors does 180 have, given 180 = 2^2 x 3^2 x 5?
- A.20
- B.18
- C.90
- D.17
Answer: B. 18
Q2. How many factors does 200 have, given 200 = 2^3 x 5^2?
- A.11
- B.14
- C.100
- D.12
Answer: D. 12
First, read what's there - a typical math numerical. The data on the table: 200, 200, 2, 3, 5. We are after How many factors does 200 have, given 200 = 2^3 x 5^2?. Tool of choice - hence the required answer = 12. Rearrange it for the unknown before substituting. Numbers in: hence the required answer = 12. Common-sense check: set up the relation specified by the stem (formula / theorem from the relevant Class-10 chapter) and substitute the listed numerical data. Lock in option D) 12. Trap-watch: option A) '11' fails since Wrong: a step was skipped or HCF/LCM swapped; option B) '14' is incorrect: Wrong: uses an incorrect intermediate value.
Q3. How many factors does 588 have, given 588 = 2^2 x 3 x 7^2?
- A.18
- B.20
- C.294
- D.17
Answer: A. 18
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