Question

f.
2
Solve the given word problems.
1. What is the least number of saplings that can be arranged in rows of 12, 15 or 40.in
2. F.
left. What is the biggest possible number of cartons needed?
2.210 oranges, 252 apples and 294 pears are equally packed in cartons so that no fruitis
3. A certain number of students can be arranged in groups of 3, 4, 6 or 8 with no student
4. The local bus service has 2 lines of buses that start together at 8 a.m. Buses on Line A
leave after every 15 minutes while Buses on Line B leave after every 20 minutes. In a
day, how many times do buses on both Line A and B leave together between 8 a.m.
each row?
left behind. Find the number of students.
and 11 a.m.
5. Three painters Rajiv, Vrinda and Sakshi are painting the rooms of a hotel which are
numbered from 150-200. Rajiv has to work in all the rooms. Vrinda has to work in
rooms where the room number is a multiple of 3. Sakshi has to work in rooms where
the room number is a multiple of 5. In which rooms will they all work together?​

Answer 1

Answer:

Step-by-step explanation:

1) To find the Least number of saplings we have to find the LCM of the given rows 12, 15 and 40.

Prime Factors of 12 , 15 and 40 :-

→ 12 = 2 * 2 * 3 = 2² * 3

→ 15 = 3 * 5

→ 40 = 2 * 2 * 2 * 5 = 2³ * 5

(Taking Highest Powers).

→ LCM = 2³ * 3 * 5 = 8 * 3 * 5 = 120 . (Ans.)

2)biggest possible number 42 in a carton

and 75 m

3)Oranges = 210

  Apples = 252

  Pears = 294

We need to find HCF of  

210 , 252 & 294

210 = 2 * 3 * 5 * 7

252 = 2 * 2 * 3 * 3 * 7

294 = 2 * 3 * 7 * 7  

HCF = 2 * 3 * 7  = 42

biggest possible number  42 in a carton

4)the LCM for 15 and 20 is 60

every 60 minutes

5)15,30,45,60,75,90,105,120,135,150,165,180,195

Thus 13 rooms are common for all three