The high school marching band rehearses with either 6 or 10 members. What is the least number of people that can be in the marching band?

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

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

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

Open in App

Solution

The correct option is C 30
We have to find the least common multiple of 6 and 10.

Let us find the multiples of 6 and 10.

Multiples of 6 are:

Multiples of 10 are:

Now, we check the common multiples of both the numbers.

We observe that the common multiples are 30 and 60.

Out of these, the least common multiple of 6 and 10 is 30.

∴ In the band, there are a minimum of 30 members.

Suggest Corrections

Similar questions

Q. The high school parade band rehearses with either 7 or 10 members in each line. What is the least number of members that can be present in the marching band ?

A high school marching band can be arranged in a rectangular formation with exactly 3 boys in each row and exactly 5 girls in each column. There are several sizes possible for the band. What is the sum of all such possible sizes?

Q. Any contingent of

616

members is to march behind an array band of

32

members in a parade. The two are to march in the same number of columns. What is the maximum number of columns in which they can march?

Q. A group of

616

students is to march behind an army band of

32

members in a parade. The two groups must march in the same number of columns. What can be the maximum number of columns in which they march?

Q. An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?

Join BYJU'S Learning Program