Question

*If you make a garland of 6,8 or 10 flowers from the flowers in the basket, 5 flowers are left each time. What is the least number of flowers present in the basket?* 1️⃣ 65 2️⃣ 120 3️⃣ 75 4️⃣ 125​

Answer 1

Answer:

Let the total number of flowers in the basket =x

Flowers offered in first temple =

2

x

Remaining flowers =x−

2

x

=

2

x

Flowers offered in the second temple

2

x

×

2

1

=

4

x

Remaining flowers =

2

x

−

4

x

=

4

x

Flowers offered in the third temple =

4

x

×

2

1

=

8

x

Remaining flowers =

4

x

−

8

x

=

8

x

Hence ,

8

x

=6

We get ,

x=6×8

x=48

Therefore , numbers of flowers she had in the beginning =48

Answer 2

Solution :-

Finding Prime factors of 6 , 8 and 10 we get,

→ 6 = 2 * 3

→ 8 = 2 * 2 * 2

→ 10 = 2 * 5

So,

→ LCM (6, 8, 10) = 2 * 2 * 2 * 3 * 5 = 120

now, given that, when we make a garland of 6,8 or 10 flowers from the flowers in the basket, 5 flowers are left each time.

then, we need to find the least number which when divided by 6, 8 and 10 gives remainder as 5 .

therefore,

→ Required number = LCM(6, 8, 10) + Remainder

→ Required number = 120 + 5

→ Required number = 125 (Ans.)

Hence, the least number of flowers present in the basket is Option (4) 125 .

Learn more :-

वह छोटी से छोटी संख्या बताईये जिसमे 7,9,11 से भाग देने पर 1,2,3 शेष बचे

https://brainly.in/question/9090122