Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
57 views
in Aptitude by (113k points)
closed by

If p = 11× 22 × 3× 5

q = 74 × 24 × 3 × 11

r = 23 × 33 × 53 × 73

Then, find the value of (LCM of p, q, r) ÷ (62 × 77). 


1. 7 × 22 × 3 × 53 × 113
2. 7 × 32 × 2 × 73 × 53
3. 11 × 22 × 3 × 73 × 53
4. 10 × 22 × 3 × 63 × 53

1 Answer

0 votes
by (114k points)
selected by
 
Best answer
Correct Answer - Option 3 : 11 × 22 × 3 × 73 × 53

Concept:

LCM: Product of highest power of each commom prime factors in the numbers 

Calculation:

p = 11× 22 × 3× 5

q = 74 × 24 × 3 × 11

r = 23 × 33 × 53 × 73

LCM of p, q and r = 11× 24 × 3× 53 × 74

According to the question:

(LCM of p, q, r) ÷ (62 × 77)

⇒ (11× 24 × 3× 53 × 74) ÷ (22 × 3× 7 × 11) 

⇒ (11 × 22 × 3 × 53 × 73)

∴ (LCM of p, q, r) ÷ (62 × 77) = (11 × 22 × 3 × 53 × 73)

The correct option is 3 i.e. (11 × 22 × 3 × 53 × 73)

Related questions

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...