Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

The greatest common divisor of two numbers is Question Image and their least common multiple is Question Image. How many pairs of values can the numbers assume?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

1

b

2

c

3

d

4 

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

Concept- The least common multiple is indeed the smallest number that is exactly divisible by each of the given numbers, and the highest common factor is indeed the largest number that divides two or more numbers (HCF).
Here the GCD of numbers is 17.
Then, the numbers are Question Image and Question Image, where a and b are relatively prime.
Given that Question ImageQuestion ImageQuestion ImageQuestion ImageThus, the numbers are Question Image and Question Image.
The numbers can be Question Image and 765.
Therefore, we have two pairs.
Hence, the correct answer is option 2.
 
Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring
The greatest common divisor of two numbers is and their least common multiple is . How many pairs of values can the numbers assume?