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All questions of Chapter 6- Be My Multiple, I'll be Your Factor for Class 5 Exam
The heights of Vicky, Bittu, Rohit and Abhishek are 1.61m, 162 cm, 1600 mm and 1640 mm respectively. Who is the tallest of them all?- a)Vicky
- b)Bittu
- c)Rohit
- d)Abhishek
Correct answer is option 'D'. Can you explain this answer?
The heights of Vicky, Bittu, Rohit and Abhishek are 1.61m, 162 cm, 1600 mm and 1640 mm respectively. Who is the tallest of them all?
a)
Vicky
b)
Bittu
c)
Rohit
d)
Abhishek
|
Sounak Ghoshal answered |
Vicky → 1.61m Bittu →1.62m Rohit → 1.6m Abhishek → 1.64m
Which of the following statements is correct?- a)Every prime number is odd.
- b)Every even number is composite.
- c)The sum of two odd numbers is always odd,
- d)The HCF of two given numbers is always a factor of their LCM
Correct answer is option 'D'. Can you explain this answer?
Which of the following statements is correct?
a)
Every prime number is odd.
b)
Every even number is composite.
c)
The sum of two odd numbers is always odd,
d)
The HCF of two given numbers is always a factor of their LCM
|
Vaishnavi Sharma answered |
The correct statement is option 'D'.
Explanation:
HCF and LCM are important concepts in number theory. HCF stands for Highest Common Factor and LCM stands for Lowest Common Multiple. The HCF of two given numbers is the largest number that divides both the numbers evenly. The LCM of two given numbers is the smallest number that is a multiple of both the numbers.
The relationship between HCF and LCM is that the HCF of two given numbers is always a factor of their LCM. This can be explained as follows:
Let's take two numbers a and b. We can write them as a = p1 * q1 and b = p2 * q2, where p1, p2, q1, q2 are prime factors of a and b.
The LCM of a and b is given by LCM(a, b) = max(p1, p2) * q1 * q2.
The HCF of a and b is given by HCF(a, b) = min(p1, p2).
Now, let's find the factors of LCM(a, b). The factors of LCM(a, b) are max(p1, p2), q1 and q2.
We can see that the HCF of a and b, which is min(p1, p2), is a factor of LCM(a, b), which is max(p1, p2) * q1 * q2.
Therefore, the HCF of two given numbers is always a factor of their LCM.
Explanation:
HCF and LCM are important concepts in number theory. HCF stands for Highest Common Factor and LCM stands for Lowest Common Multiple. The HCF of two given numbers is the largest number that divides both the numbers evenly. The LCM of two given numbers is the smallest number that is a multiple of both the numbers.
The relationship between HCF and LCM is that the HCF of two given numbers is always a factor of their LCM. This can be explained as follows:
Let's take two numbers a and b. We can write them as a = p1 * q1 and b = p2 * q2, where p1, p2, q1, q2 are prime factors of a and b.
The LCM of a and b is given by LCM(a, b) = max(p1, p2) * q1 * q2.
The HCF of a and b is given by HCF(a, b) = min(p1, p2).
Now, let's find the factors of LCM(a, b). The factors of LCM(a, b) are max(p1, p2), q1 and q2.
We can see that the HCF of a and b, which is min(p1, p2), is a factor of LCM(a, b), which is max(p1, p2) * q1 * q2.
Therefore, the HCF of two given numbers is always a factor of their LCM.
1560 ml is equal to- a)0.156 liter
- b)15.60 liter
- c)1 liter 560 ml
- d)156 liter
Correct answer is option 'A'. Can you explain this answer?
1560 ml is equal to
a)
0.156 liter
b)
15.60 liter
c)
1 liter 560 ml
d)
156 liter
|
|
Rutuja Yadav answered |
we know 1000 ml = 1 L
so 1 ml = 1/1000 L
and 1560 ml = 1560 x 1/1000 = 1.560 liter
or 1 liter 560 ml
A container can carry 10.5 liter of milk. It already has 8705 ml of milk. How much milk it can store now.- a)179.5 liter
- b)1795 liter
- c)17.95 liter
- d)1.795 liter
Correct answer is option 'D'. Can you explain this answer?
A container can carry 10.5 liter of milk. It already has 8705 ml of milk. How much milk it can store now.
a)
179.5 liter
b)
1795 liter
c)
17.95 liter
d)
1.795 liter
|
Dhairya malhotra answered |
Option 'D' is correct, the container can store 1.795 liter of milk now. Since 1 liter is equal to 1000 milliliters, you can convert 8705 ml to liters by dividing it by 1000 which gives 8.705 liters. Then you subtract this amount from the total capacity of the container which is 10.5 liters. So, 10.5 - 8.705 = 1.795 liters is the amount of milk that the container can store now.
7.5×7.5+37.5+2.5×2.5=?- a)100
- b)80
- c)60
- d)30
Correct answer is option 'A'. Can you explain this answer?
7.5×7.5+37.5+2.5×2.5=?
a)
100
b)
80
c)
60
d)
30
|
Harsh Malik answered |
Calculation:
1. First, we need to solve the multiplication:
7.5 × 7.5 = 56.25
2.5 × 2.5 = 6.25
2. Next, we add the results of the multiplications to 37.5:
56.25 + 37.5 + 6.25 = 100
Therefore, 7.5 × 7.5 + 37.5 + 2.5 × 2.5 equals 100.
So, the correct answer is option A - 100.
1. First, we need to solve the multiplication:
7.5 × 7.5 = 56.25
2.5 × 2.5 = 6.25
2. Next, we add the results of the multiplications to 37.5:
56.25 + 37.5 + 6.25 = 100
Therefore, 7.5 × 7.5 + 37.5 + 2.5 × 2.5 equals 100.
So, the correct answer is option A - 100.
Soni can cycle from point A to point B and return to point A in 10 minutes. She can cycle and walk back in 18 minutes. It will take ___ mins for her to walk there and walk back.- a)15 minutes
- b)26 minutes
- c)30 minutes
- d)36 minutes
Correct answer is option 'B'. Can you explain this answer?
Soni can cycle from point A to point B and return to point A in 10 minutes. She can cycle and walk back in 18 minutes. It will take ___ mins for her to walk there and walk back.
a)
15 minutes
b)
26 minutes
c)
30 minutes
d)
36 minutes
|
Deepika Tiwari answered |
Given Information:
- Soni can cycle from point A to point B and return to point A in 10 minutes.
- Soni can cycle and walk back in 18 minutes.
To Find:
The time it will take for Soni to walk to point B and walk back.
Solution:
Let's assume the time taken by Soni to cycle from point A to point B is x minutes.
- Soni cycles from point A to point B in x minutes.
- Soni cycles back from point B to point A in x minutes.
- The total time taken for the cycle trip is x + x = 2x minutes.
According to the given information, Soni can cycle from point A to point B and return to point A in 10 minutes. Therefore,
2x = 10
x = 10/2
x = 5 minutes
Time taken for Soni to walk to point B:
- Soni cycles from point A to point B in 5 minutes.
- Soni walks back from point B to point A in y minutes.
According to the given information, Soni can cycle and walk back in 18 minutes. Therefore,
5 + y = 18
y = 18 - 5
y = 13 minutes
Time taken for Soni to walk there and walk back:
- Soni walks to point B in 13 minutes.
- Soni walks back from point B to point A in 13 minutes.
The total time taken for the walking trip is 13 + 13 = 26 minutes.
Therefore, it will take Soni 26 minutes to walk to point B and walk back.
Answer:
The correct answer is option B) 26 minutes.
- Soni can cycle from point A to point B and return to point A in 10 minutes.
- Soni can cycle and walk back in 18 minutes.
To Find:
The time it will take for Soni to walk to point B and walk back.
Solution:
Let's assume the time taken by Soni to cycle from point A to point B is x minutes.
- Soni cycles from point A to point B in x minutes.
- Soni cycles back from point B to point A in x minutes.
- The total time taken for the cycle trip is x + x = 2x minutes.
According to the given information, Soni can cycle from point A to point B and return to point A in 10 minutes. Therefore,
2x = 10
x = 10/2
x = 5 minutes
Time taken for Soni to walk to point B:
- Soni cycles from point A to point B in 5 minutes.
- Soni walks back from point B to point A in y minutes.
According to the given information, Soni can cycle and walk back in 18 minutes. Therefore,
5 + y = 18
y = 18 - 5
y = 13 minutes
Time taken for Soni to walk there and walk back:
- Soni walks to point B in 13 minutes.
- Soni walks back from point B to point A in 13 minutes.
The total time taken for the walking trip is 13 + 13 = 26 minutes.
Therefore, it will take Soni 26 minutes to walk to point B and walk back.
Answer:
The correct answer is option B) 26 minutes.
Find the number of multiples of 5.- a)100
- b)600
- c)700
- d)infinite
Correct answer is option 'D'. Can you explain this answer?
Find the number of multiples of 5.
a)
100
b)
600
c)
700
d)
infinite
|
|
Saranya Das answered |
Multiples of 5:
In mathematics, a multiple of a number is a number that can be obtained by multiplying that number by any integer. In this case, we are looking for the multiples of 5. Let's examine the given options and determine which one is correct.
a) 100:
To check if 100 is a multiple of 5, we need to divide it by 5. If the result is an integer, then 100 is a multiple of 5. In this case, 100 divided by 5 equals 20, which is an integer. Therefore, 100 is a multiple of 5.
b) 600:
Similarly, we need to divide 600 by 5 to check if it is a multiple of 5. 600 divided by 5 equals 120, which is an integer. Hence, 600 is a multiple of 5.
c) 700:
Dividing 700 by 5 gives us 140, which is an integer. Therefore, 700 is a multiple of 5.
d) Infinite:
The correct answer is option D, infinite.
Explanation:
There are an infinite number of multiples of 5. This is because any number multiplied by 5 will give us a multiple of 5. For example, 5 multiplied by 1 is 5, 5 multiplied by 2 is 10, 5 multiplied by 3 is 15, and so on. This pattern continues indefinitely, producing an infinite number of multiples of 5.
Key Points:
- A multiple of a number is obtained by multiplying that number by any integer.
- To check if a number is a multiple of 5, we divide it by 5 and check if the result is an integer.
- Options a, b, and c are all multiples of 5.
- Option d, infinite, is the correct answer because there are an infinite number of multiples of 5.
In mathematics, a multiple of a number is a number that can be obtained by multiplying that number by any integer. In this case, we are looking for the multiples of 5. Let's examine the given options and determine which one is correct.
a) 100:
To check if 100 is a multiple of 5, we need to divide it by 5. If the result is an integer, then 100 is a multiple of 5. In this case, 100 divided by 5 equals 20, which is an integer. Therefore, 100 is a multiple of 5.
b) 600:
Similarly, we need to divide 600 by 5 to check if it is a multiple of 5. 600 divided by 5 equals 120, which is an integer. Hence, 600 is a multiple of 5.
c) 700:
Dividing 700 by 5 gives us 140, which is an integer. Therefore, 700 is a multiple of 5.
d) Infinite:
The correct answer is option D, infinite.
Explanation:
There are an infinite number of multiples of 5. This is because any number multiplied by 5 will give us a multiple of 5. For example, 5 multiplied by 1 is 5, 5 multiplied by 2 is 10, 5 multiplied by 3 is 15, and so on. This pattern continues indefinitely, producing an infinite number of multiples of 5.
Key Points:
- A multiple of a number is obtained by multiplying that number by any integer.
- To check if a number is a multiple of 5, we divide it by 5 and check if the result is an integer.
- Options a, b, and c are all multiples of 5.
- Option d, infinite, is the correct answer because there are an infinite number of multiples of 5.
17,19, p,29,31,q,41 is a list of prime numbers in ascending order. What is the value of q−p?- a)60
- b)37
- c)23
- d)14
Correct answer is option 'D'. Can you explain this answer?
17,19, p,29,31,q,41 is a list of prime numbers in ascending order. What is the value of q−p?
a)
60
b)
37
c)
23
d)
14
|
Edu Impact answered |
Prime numbers between 17 and 41 are 17, 19, 23, 29, 31, 37, 41.
Therefore, p = 23 and q = 37.
Hence, q − p = 37 − 23 = 14.
Therefore, p = 23 and q = 37.
Hence, q − p = 37 − 23 = 14.
?
, then what is the mas of 
?Sara waters her plants every third day, and Mike waters his garden every fifth day. On which days will both Sara and Mike water their plants together in the month of September?- a)3rd and 5th
- b)20th and 30th
- c)15th and 30th
- d)10th and 20th
Correct answer is option 'C'. Can you explain this answer?
Sara waters her plants every third day, and Mike waters his garden every fifth day. On which days will both Sara and Mike water their plants together in the month of September?
a)
3rd and 5th
b)
20th and 30th
c)
15th and 30th
d)
10th and 20th
|
Stoneridge Institute answered |
To determine when both Sara and Mike water their plants together, find the common days they both water.
- Sara waters every 3rd day: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.
- Mike waters every 5th day: 5, 10, 15, 20, 25, 30.
The common days are when both schedules overlap:
- 15th and 30th.
Thus, the correct answer is C: 15th and 30th.
- Sara waters every 3rd day: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.
- Mike waters every 5th day: 5, 10, 15, 20, 25, 30.
The common days are when both schedules overlap:
- 15th and 30th.
Thus, the correct answer is C: 15th and 30th.
then what should come in place of y ?
If you start counting by 4s starting from 0, what is the 6th number you will say?
- a)24
- b)14
- c)20
- d)6
Correct answer is option 'C'. Can you explain this answer?
If you start counting by 4s starting from 0, what is the 6th number you will say?
a)
24
b)
14
c)
20
d)
6
|
Rahul Kumar answered |
- Start counting by adding 4 to each number, beginning from 0.
- 0 (1st number)
- 4 (2nd number: 0 + 4)
- 8 (3rd number: 4 + 4)
- 12 (4th number: 8 + 4)
- 16 (5th number: 12 + 4)
- 20 (6th number: 16 + 4)
The 6th number is 20, so the correct answer is A: 20.
- 0 (1st number)
- 4 (2nd number: 0 + 4)
- 8 (3rd number: 4 + 4)
- 12 (4th number: 8 + 4)
- 16 (5th number: 12 + 4)
- 20 (6th number: 16 + 4)
The 6th number is 20, so the correct answer is A: 20.
Chapter doubts & questions for Chapter 6- Be My Multiple, I'll be Your Factor - Mathematics for Class 5: NCERT 2025 is part of Class 5 exam preparation. The chapters have been prepared according to the Class 5 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 5 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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Mathematics for Class 5: NCERT
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