Q. 43 Y5.0( 4 Votes )

Product of three consecutive integers is divisible by ………..
A. 24

B. 8 but not by 24

C. 6

D. 20

Answer :

Product of three consecutive integers = odd even odd

Or Product of three consecutive integers = even odd even

In both the cases atleast one is even.

So, It is divisible by 2

Also, in three consecutive integers one of them is a multiple of 3.

Also, 2&3 are mutually prime numbers.

So, product of three consecutive integers is divisible by 6.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Interactive Quiz:Euclid's Division Lemma44 mins
Fundamental Theorem of Arithmetic-238 mins
Champ Quiz | Fundamental Principle Of Arithmetic41 mins
NCERT | Imp. Qs. on Rational and Irrational Numbers44 mins
Euclids Division Lemma49 mins
Fundamental Theorem of Arithmetic- 143 mins
Quiz | Imp Qs on Real Numbers37 mins
Interactive Quiz - HCF and LCM32 mins
Relation Between LCM , HCF and Numbers46 mins
Application of Euclids Division Lemma50 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses