# let a and b two positive integers such that a p3q4

### Mohammed

Guys, does anyone know the answer?

get let a and b two positive integers such that a p3q4 from screen.

## 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

Class 6 >>Maths

>>Playing With Numbers

>>Problems on HCF and LCM

>>If two positive integers p and q are wri

If two positive integers p and q are written as p=aQuestion 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.

Was this answer helpful?

283 66

## [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

**Check sibling questions**

## 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 →

Facebook Whatsapp

Made by

### Davneet Singh

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.

## 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

**Ace class 10 Maths with All-in-one Maths course**

View Details

**Answers (1)**

R Ravindra Pindel

Since a = p x p x p x q x q,

b **= **p x q x q x q

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

## Similar Questions

1+3+2+3-99990

**Q.**

WHAT IS FOSSIL FUELS

**Q.**

2+2

**Q.**

A shopkeeper give 1 article free of every purchase of 15 article and also gives a discount of 4 % and after all that his profit percent is 35%. Find CP:MP.

**Q.**

The average weight of three women is increased by 4kg. When one of them whose weight is weight is 100 kg is replaced by another woman. What is the weight of the new women?

**Q.**

## Latest Asked Questions

A random variable X has the following probability distribution:

**Q.**

Let be the nth term of a G.P. of positive terms. If

**Q.**

If one end of a focal chord AB of the parabola is at

**Q.**

If

**Q.**

If

**Q.**

If be a complex number satisfying

**Q.**

The length of the minor axis (along y-axis) of an ellipse in the standard form is If this ellipse touches the line,

**Q.**

If is false, then the truth values of p and q are res

**Q.**

The following system of linear equations

**Q.**

Given :

**Q.**

## Most Viewed Questions

Need explanation for: The percentage of pyridine (C5H5N) that forms pyridinium ion (C5H5N*H) in a 0.10 M aqueous pyridine solution (Kb for C5H5N = 1.7 x 10-9) is

**Q.**

How to download JEE Main admit card without password?

**Q.**

Need explanation for: - Chemical kinetics - NEET

**Q.**

What is JEE Main dress code?

**Q.**

Solve this problem A block rests on a rough inclined plane making an angle of 30o with the horizontal. The coefficient of static friction between the block and the plane is 0.8 . If the frictional force on the block is 10 N , the mass of the block (

**Q.**

Tell me? 3.2 mole of iodide were heated in a sealed bulb at 444 degree C till the equilibrium was reached. The degree of dissociation of HI at this temperature was found to be 22% . The number of moles of hydrogen iodide present at equilibrium are :

**Q.**

Can someone help me with this, A satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. The total energy of the satellite in terms of g0, the value of acceleration due to gravity at the earth's surface, is

**Q.**

Solve! From a solid sphere of mass M and radius R a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing through its center and perpendicular to one of its faces is :

**Q.**

Help me answer: Distance of the centre of mass of a solid uniform cone from its vertex is z0. If the radius of its base is R and its height is h then z0 is equal to :

**Q.**

Need explanation for: A parallel-plate capacitor of area A, plate separation d and capacitance C is filled wih four dielectric materials having dielectric constants k1, k2, k3 and k4 as shown in the figure below. If a single dielectric material is to

**Q.**

### PREPARATION PRODUCTS

### Knockout JEE Main (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/- Buy Now

### Knockout JEE Main (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 13999/- ₹ 12499/- Buy Now

### Knockout NEET (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/- Buy Now

### Knockout NEET (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 13999/- ₹ 12499/- Buy Now

### Test Series JEE Main 2024

Chapter/Subject/Full Mock Tests for JEE Main, Personalized Performance Report, Weakness Sheet, Complete Answer Key,.

₹ 7999/- ₹ 4999/- Buy Now

Guys, does anyone know the answer?