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    let a and b two positive integers such that a p3q4

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    If two positive integers p and q are written as p = a^2b^2 and q = a^3b , a,b are prime numbers then verify that L.C.M.(p,q) × H.C.F.(p,q) = pq

    Click here👆to get an answer to your question ✍️ If two positive integers p and q are written as p = a^2b^2 and q = a^3b , a,b are prime numbers then verify that L.C.M.(p,q) × H.C.F.(p,q) = pq

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    If two positive integers p and q are written as p=a

    Question 2 b 2 and q=a 3

    b, a,b are prime numbers then verify that L.C.M.(p,q)×H.C.F.(p,q)=pq

    Medium Open in App Solution Verified by Toppr H.C.F.(p,q)=a 2 b L.C.M.(p,q)=a 3 b 2

    L.C.M.(p,q)×H.C.F.(p,q)=a

    5 b 3 pq=a 5 b 3

    Therefore, L.C.M.(p,q)×H.C.F.(p,q)=pq.

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    [MCQ] Let a, b be positive integers such that a = p3 q4 and b = p^2 q

    Question 1 Let a and b be two positive integers such that a = p3q4 and b = p2q3, where p and q are prime numbers. If HCF(a,b) = pmqn and LCM(a,b) = prqs , then (m + n)(r + s) = (a) 15 (b) 30 (c) 35 (d) 72Given two numbers a = p3q4 and b = p2q3Finding HCF a = p3q4 = p × p × p × q

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    Question 1 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

    Last updated at Oct. 5, 2022 by Teachoo

    Let a and b be two positive integers such that a = p 3 q 4 and b = p 2 q 3 , where p and q are prime numbers. If HCF(a,b) = p m q n and

    LCM(a,b) = p r q s , then (m + n)(r + s) =

    Let a and b be two positive integers such that a = p 3 q 4 and b = p 2 q 3 , where p and q are prime numbers. If HCF(a,b) = p m q n and LCM(a,b) = p r q s , then (m + n)(r + s) = (a) 15   (b) 30  (c) 35  (d) 72

    This question is similar to Question 7 - CBSE Class 10 Sample Paper for 2018 Boards

    Transcript

    Question 1 Let a and b be two positive integers such that a = p3q4 and b = p2q3, where p and q are prime numbers. If HCF(a,b) = pmqn and LCM(a,b) = prqs , then (m + n)(r + s) = (a) 15 (b) 30 (c) 35 (d) 72 Given two numbers a = p3q4 and b = p2q3 Finding HCF a = p3q4 = p × p × p × q × q × q × q b = p2q3 = p × p × q × q × q HCF = p × p × q × q × q HCF = p2q3 Comparing HCF = p2q3 with HCF = pmqn ∴ m = 2, n = 3 Finding LCM LCM = p × p × p × q × q × q × q LCM = p3q4 Comparing LCM = p3q4 with LCM = prqs ∴ r = 3, s = 4 Now, (m + n)(r + s) = (2 + 3) × (3 + 4) = 5 × 7 = 35 So, the correct answer is (c)

    Next: Question 2 Important →

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    Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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    If two positive integers a and b are written as a = p3q2 and b = pq3; p, q are prime numbers, then HCF (a, b) is:

    If two positive integers a and b are written as a = p3q2 and b = pq3; p, q are prime numbers, then HCF (a, b) is:

    Home School

    If two positive integers a and b are written as a = p3q2 and b = pq3; p, q are prime numbers, then HCF (a, b) is:

    # School

    If two positive integers a and b are written as a = p3q2 and b = pq3; p, q are prime numbers, then HCF (a, b) is:

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    Answers (1)

    R Ravindra Pindel

    Since a = p x p x p x q x q,

    = p x q x q x q

    Therefore H.C.F of a and b = pq2

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    Mohammed 8 day ago
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