RBSE Class 5 Maths Chapter 17 Solutions Sports Competition

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RBSE Class 5 Maths Chapter 17 Question Answer Sports Competition

Sports Competition Class 5 Questions and Answers

Sports Competition Class 5 Question Answer – InText

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In Dholakpur village, Sports competitions were organized. The first competition was a race in which a rabbit, a cat and a mouse took part. As soon as the race started, rabbit took 44 jumps, cat took 3-3 jumps and mouse took 2-2 jumps and started running. In this race, the rabbit ran fast and reached the destination first and got the first position. The cat got the second position and the mouse got the last position.

To complete the race along the given trail, race the mouse, cat and rabbit to reach 60 to finish the race.

Think and Tell :

Question 1.
On which numbers did the mouse jump?
2, 4, 6, ……………………………
Solution :
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60.

Question 2.
How many jumps will the rabbit have to make to reach 32?
Solution :
To reach 32, the rabbit had to make 32 ÷ 4 = 8 jumps.

Question 3.
Who among the three jumped on 27?
Solution :
The cat (3, 6, 9, 12, 15, 18, 21, 24, 27)

Question 4.
On which numbers did the rabbit jump?
4, 8, 12,, ……………………………
Solution :
4, 8, 12, 16, 20, 24, 28, 32, 36, 40,  44, 48, 52, 56, 60.

Question 5.
How many more jumps did the cat take than the rabbit to finish the race?
Solution :
Jumps made by the rabbit = 60 ÷ 4 = 15
Jumps made by the cat = 60 ÷ 3 = 20
Therefore, the cat made 20 – 15 = 5 more jumps than the rabbit.
The numbers on which the mouse jumped are multiples of 2. Similarly, the cat jumped on numbers that are multiples of 3.

Question 6.
Can you tell on which multiple of the number the rabbit jumped over?
Solution :
4

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Guess the puzzle :

Question 1.
I am a multiple of 8. I fall between 60 and 70 ____
Solution :
64

Question 2.
I am a two-digit multiple of 7.
When you write me, the digit 3 comes in the unit place ____
Solution :
63

Question 3.
I am a multiple of 6. If my digits are interchanged then I will become another multiple of 6 ____
Solution :
24, 42

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Find out :

Question 1.
Just like the cat and the rabbit repeatedly jumped over the numbers, you also jump over the number 3 and 4 and write the multiples.
Solution :
Multiples of 3 = 3,6,9,12,15,18,21,24, …….
Multiples of 4 = 4,8,12,16,20,24,28, ……

Question 2.
Write the smallest common multiple of 4 and 5.
Solution :

It is clear that the smallest common multiple of 4 and 5 = 20.

Question 3.
Find the common multiples of 2,3 and 4 in numbers up to 60.
Solution :

Common multiples of 2, 3 and 4 = 12, 24, 36, 48, 60.

Question 4.
Which numbers will be the multiples of 60 ?
Solution :
1, 2, 4, 5, 8, 10, 20 and 40.

Question 5.
Select and write down the multiples of 2,3 and 5 from the numbers 8, 24, 15, 21, 18, 33, 23, 17, 168, 39, 500.

Solution :
Multiples of 2 = 8,24,18,168,500.
Multiples of 3 = 24,15,21,18,33,168,39.
Multiples of 5 = 15,500.

Question 6.
Understand the given series and write the multiple numbers that come next :
16, 32, 48, 64, ____, ____, ____
Solution :
The next multiple numbers = 80,96, 112,128,144,160.

Think and answer :

Question 1.
What will be the largest 2-digit multiple of the number 2?
Solution :
98

Question 2.
Will 19 be a multiple of any number?
Solution :
No

Question 3.
Write the first five multiples of the number 5.
Solution :
5, 10, 15, 20, 25

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Question 1.
If instead of 12 laddoos there were 11, 15 and 24 laddoos, how many groups of equal laddoos would be formed?
Write in the table given below :

Solution :
11=1,11
15=1,3,5,15
18=1,2,3,6,9,18
24=1,2,3,4,6,8,12,24

RBSE Class 5th Maths Chapter 17 Question Answer – Practice Work

Question 1.
Write all the factors of the following numbers :
(i) 25
(ii) 36
(iii) 45
(iv) 22
Solution :
(i) Factors of 25 = 1,5,25
(ii) Factors of 36 = 1,2,3,4,6,9,12,18,36
(iii) Factors of 45 = 1,3,5,9,15,45
(iv) Factors of 22 = 1,2,11,22

Question 2.
Write the first three common multiples of the given numbers :
(i) 8,12
(ii) 6,9
(iii) 10, 15
(iv) 12, 18
Solution :

Question 3.
Write the multiples :
(i) Multiples of 5 which are less than 60.
(ii) Multiples of 8 which are greater than 50 and less than 100.
Solution :
(i) Multiples of 5 which are less than 60=5,10,15,20,25,30,35,40,45, 50, 55.
(ii) Multiples of 8 which are greater than 50 and less than 100=56,64,72,80,88,96.

Question 4.
Write all the common multiples of 6 and 8 which are less than 100.
Solution :

Question 5.
Piyush and Amit are running around a field. Piyush completes one round in 5 minutes and Amit in 6 minutes. After how much time will both of them reach the same place after starting running together?
Solution :
Multiples of 5=5,10,15,20,25, 30, 35, 40,……
Multiples of 6=6,12,18,24,30,36,42, 48,…..
Common multiples of 5 and 6 = 30,60,…..
Piyush and Amit will be at the same place after 30 minutes.

Question 6.
There are 15, 16 and 18 laddoos kept in three different utensils respectively. In which utensil the laddoos can be distributed equally in maximum number of ways?
Solution :
Factors of 15=1,3,5,15
Factors of 16=1,2,4,8,16
Factors of 18=1,2,3,6,9,18
18 has the most factors, therefore the container with 18 laddoos can be divided equally in the most number of ways.

Question 7.
Find the smallest common multiple of the numbers 3, 5 and 15.
Solution :
Multiples of 3=3,6,9,12,15, …..
Multiples of 5=5,10,15,20, …..
Multiples of 15=15,30,45, ……
Therefore, the least common multiple of the number 3,5 and 15 is 15.

Question 8.
Write the common multiples of numbers 60 and 120 which are less than 600.
Solution :
The common multiples of 60 and 120 that are less than 600=120,240,360,480.

Question 9.
Find the smallest common multiple of the numbers 20,40 and 60.
Solution :
Multiples of 20 = 20,40,60,80, 100,120, …..
Multiples of 40 = 40,80,120, …..
Multiples of 60 = 60,120,180, ……
Therefore, the smallest common multiple = 120

Question 10.
Find the smallest common multiple of the numbers 10,15 and 20.
Solution :
Multiples of 10=10,20,30,40,50, 60,…..
Multiples of 15=15,30,45,60, ……
Multiples of 20=20,40,60, ……
Smallest common multiple = 60

RBSE Class 5 Maths Chapter 17 Sports Competition Important Questions

Multiple Choice Questions :

Question 1.
The four multiples of number 3 are :
(A) 3,7,9,14
(B) 3,6,10,14
(C) 3,6,9,12
(D) 2,4,6,8
Answer:
(C) 3,6,9,12

Question 2.
25,30,35,40,45 are multiples of which of the following :
(A) of 6
(B) of 2
(C) of 3
(D) of 5
Answer:
(D) of 5

Question 3.
16 is a multiple of which of the following :
(A) 1,2,4,8,16
(B) 2,4,10
(C) 3,4,8
(D) 3,5,8
Answer:
(A) 1,2,4,8,16

Question 4.
40 and 80 are multiples of which of the following :
(A) of 5 and 8
(B) of 5 and 21
(C) of 8 and 11
(D) of 6 and 8
Answer:
(A) of 5 and 8

Question 5.
The first three common multiples of 2 and 5 are :
(A) 2,5,10
(B) 5,10,15
(C) 10,20,30
(D) 10,15,30
Answer:
(C) 10,20,30

Question 6.
The factors of 6 are :
(A) 1,3,6
(B) 3,6
(C) 1,2,3
(D) 1,2,3,6
Answer:
(D) 1,2,3,6

Question 7.
The smallest common multiple of 5 and 8 is :
(A) 40
(B) 20
(C) 25
(D) 16
Answer:
(A) 40

Fill in the blanks :

(i) Every number is completely divisible by all its ____.
Answer: multiples

(ii) 7 times 8 in the tabel of 7 is ____.
Answer: 56

(iii) 8,16,24,32,40,48,56 are all multiples of ____.
Answer: 8

(iv) The four multiples of the number 5 are respectively : ____, ____, ____, ____.
Answer: 5,10,15,20

(v) 1,2,3,6,9 and 18 are factors of the number ____.
Answer: 18

Write whether True or False :

(i) The first four multiples of 14 are 14, 28, 42, 56.
Answer: True

(ii) The first common multiples of 3 and 5 is 15.
Answer: True

(iii) The multiple of 4 that is greater than 25 is 26.
Answer: False

(iv) 9 is not a factor of 81.
Answer: False

Very Short Answer Type Questions :

Question 1.
Write the multiples of 17 in the number chart (1-100).
Solution :
Multiples of 17 = 17, 34, 51, 68 and 85.

Question 2.
Write the common multiple of 7 and 11 in the number chart (1-100).
Solution :
Common multiple of 7 and 11 = 77

Question 3.
Find the first 3 even multiples of 5.
Solution :
Multiples of 5 = 5, 10,15,20,25, 30,35 etc.
Therefore, the first 3 even multiples =10, 20, 30.

Question 4.
Find the first 4 odd multiples of 5.
Solution :
Multiples of 5=5,10,15,20,25, 30, 35, …….
Therefore, the first 4 odd multiples = 5, 15, 25, 35.

Question 5.
Define a multiple.
Solution :
When a number is multiplied by 1, 2, 3, 4, …. the products obtained are called the multiples of that number.

Question 6.
Find all the factors of 54.
Solution :
Factors of 54 = 1,2,3,6,9,18,27 and 54.

Question 7.
Find the common factors of 27 and 30.
Solution :
Factors of 27 = 1,3,9,27
Factors of 30=1,2,3,5,6,10,15,30
Thus, the common factors of 27 and 30 = 1 and 3

Short Answer Type Questions :

Question 1.
Two milk cans contain 18 liters and 24 liters of milk respectively. What will be the measure of the largest vessel that can completely measure the milk in both cans?
Solution :
Factors of 18 = 1,2,3,6,9,18
Factors of 24 = 1,2,3,4,6,8,12,24
Common factors of 18 and 24 = 1,2,3,6
Largest common factor = 6
Therefore, the measure of the largest vessel measure the milk in both cans.

Question 2.
Three vessels contain 20 liters, 40
liters and 60 liters of milk respectively.
Find the largest measure that can completely measure the milk in all three vessels.
Solution :
Factors of 20 = 1,2,4,5,10,20
Factors of 40 = 1,2,4,5,8,10,20,40
Factors of 60 = 1,2,3,4,5,6,10,12,15, 20, 30, 60
Therefore, common factors of 20, 40 and 60 = 1,2,4,5,10,20
Hence, the largest common factor of 20, 40 and 60 = 20
Therefore, the largest measure will be 20 liters, which can completely measure the milk in all three vessels.

Question 3.
Answer the following :
(i) First four multiples of 8
(ii) First four multiples of 12
(iii) Smallest common multiple of 8 and 12.
Solution :
(i) First four multiples of 8=8,16, 24, 32
(ii) First four multiples of 12=12,24,36, 48
(iii) Smallest common multiple of 8 and 12=24

Question 4.
Find the largest number that completely divides 15, 45 and 60.
Solution :
Factors of 15 = 1,3,5,15
Factors of 45 = 1,3,5,9,15,45
Factors of 60 = 1,2,3,4,5,6,10,12,15, 20, 30, 60
Common factors of 15,45 and 60 = 1,3, 5, 15.
Therefore, 15 is the greatest number that completely divides 15, 45 and 60.

Question 5.
Write the first three common multiples of 2 and 5.
Solution :

Question 6.
Write the least common multiple of 8,6 and 4.
Solution :

Long Answer Type and Essay Type Question :

Question 1.
Find the greatest common factor of 15, 27 and 36.
Solution :
Factors of 15 = 1,3,5,15
Factors of 27 = 1,3,9,27
Factors of 36 = 1,2,3,4,6,9,12,18,36
Common factors of 15, 27 and 36 = 1,3
Therefore, the greatest common factor of 15,27 and 36 = 3

Question 2.
Two milk cans contain 20 and 30 liters of milk respectively. What will be the measure of the largest vessel that can completely measure both cans?
Solution :
Factors of 20 = 1,2,4,5,10,20
Similarly, factors of 30 = 1,2,3,5,6,10, 15, 30
The greatest common factor among these two factors = 10
Therefore, the measure of the largest vessel will be 10 liters. Which can completely measure both cans.