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    let a and b be two positive integers such that a p3q4 and b p2q3

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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

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    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)

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    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) = ______.

    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) = ______.

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    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) = ______.

    OPTIONS

    15 30 35 72 Advertisement Remove all ads

    SOLUTION

    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) = 35.

    Explanation:

    Given two numbers

    a = p3q4 and b = p2q3

    p p3q4 p p2q4 p pq4 p q4 q q3 q q2 q q 1 p p2q3 p pq3 q q3 q q2 q 1 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 p p3q4, p2q3 p p2q4, p2q3 p pq4, q3 q q4, q3 q q3, q2 q q2, q q q, 1 1, 1 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

    Concept: Fundamental Theorem of Arithmetic

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    Let a and b be two positive integers such that a = p3 q 4 and b = p2 q 3 , where p and q are prime numbers. If HCF(a,b) = pmq n and LCM(a,b) = pr q s , then (m n)(r s)=?

    1. if question is asking about (m n) (r s) then, answer will be 72.2. if (m+n)(r+s) is exist there then, your answer will be 35.

    Class 10 Question  >  Let a and b be two positive integers such tha...

    Let a and b be two positive integers such that a = p3 q 4 and b = p2 q 3 , where p and q are prime numbers. If HCF(a,b) = pmq n and LCM(a,b) = pr q s , then (m n)(r s)=?

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    Answers

    Aditya Raj Singh Yadav

    Sep 30, 2022 Related

    Let a and b be two positive integers such that a = p3 q 4 and b = p2 q 3 , where p and q are prime numbers. If HCF(a,b) = pmq n and LCM(a,b) = pr q s , then (m n)(r s)=?

    1. if question is asking about (m n) (r s) then, answer will be 72.

    2. if (m+n)(r+s) is exist there then, your answer will be 35.

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    Let a and b be two positive integers such that a = p3 q 4 and b = p2 q 3 , where p and q are prime numbers. If HCF(a,b) = pmq n and LCM(a,b) = pr q s , then (m n)(r s)=?

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    Let a and b be two positive integers such that a = p3 q 4 and b = p2 q 3 , where p and q are prime numbers. If HCF(a,b) = pmq n and LCM(a,b) = pr q s , then (m n)(r s)=? for Class 10 2022 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Let a and b be two positive integers such that a = p3 q 4 and b = p2 q 3 , where p and q are prime numbers. If HCF(a,b) = pmq n and LCM(a,b) = pr q s , then (m n)(r s)=? covers all topics & solutions for Class 10 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let a and b be two positive integers such that a = p3 q 4 and b = p2 q 3 , where p and q are prime numbers. If HCF(a,b) = pmq n and LCM(a,b) = pr q s , then (m n)(r s)=?.

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