MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Ionic Radii and Ionisation Enthalpy (Group 2)

The largest n...

Question

The largest number that exactly divides each number in the sequence $(1^{5} - 1), (2^{5} - 2), (3^{5} - 3), (4^{5} - 4), . . . . (n^{5} - n)$ is:

A

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

15

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

30

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

120

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 30
The series can be expanded as- $0, 30, 240, . . .$
The lowest non-zero number is 30, hence it can be easily verified that all the numbers are divisible by 30.

Suggest Corrections

thumbs-up

0

Similar questions

Q. The largest of the following integers which divides each of the members of the sequence

1^{5} - 1, 2^{5} - 2, 3^{5} - 3, . . . ., n^{5} - n, . . .

Q. What is the largest number that divides each one of 1152 and 1664 exactly?

(a) 32
(b) 64
(c) 128
(d) 256

Q. The largest number which exactly divides the product of any four consecutive natural numbers is

Q. Find the largest number which exactly divides

280

1245

leaving remainders

4

3,

Q. The largest number which divides 972 and 2016 leaving remainder 15 in each case, is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Group 2 Physical Properties

CHEMISTRY

Watch in App

explore_more_icon

Explore more

Ionic Radii and Ionisation Enthalpy (Group 2)

Standard XII Chemistry

Join BYJU'S Learning Program

CrossIcon