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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHard
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If the HCF of (2^a\times3^2) and (2^5\times3^4) is (2^3\times3^2), what is correct about (a)?

Answer and explanation

Correct answer: (a=3) can be true

Step 1: The smaller power of (2) in the HCF must be (3). Step 2: The second number has power (5), so (a=3) makes the smaller power (3). Step 3: In power questions, compare smaller and larger values carefully.

Related tags

Real-NumbersHcfUnknown-PowerHcf And Lcm Using Prime FactorisationHcf Lcm Using Prime FactorisationReal NumbersMathematicsClass 10 Mcq
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10 more MCQs
  1. 1If the product of two numbers is 3780 and their LCM is 315, what is their HCF?
  2. 2What is the HCF of (18) and (24) using prime factorisation?
  3. 3What is the LCM of (18) and (24) using prime factorisation?
  4. 4What is the HCF of (40) and (60)?
  5. 5What is the LCM of (40) and (60)?
  6. 6What will be the HCF of (45) and (75)?
  7. 7What will be the LCM of (45) and (75)?
  8. 8Which is the HCF of (32) and (48)?
  9. 9Which is the LCM of (32) and (48)?
  10. 10What is the HCF of (27) and (36)?
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