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All questions of Playing with Numbers for Class 8 Exam
What is the definition of natural numbers?- a) Counting numbers starting from 1
- b) Numbers expressed as a fraction of two integers
- c) Whole numbers including negative numbers
- d) Counting numbers starting from 0
Correct answer is option 'A'. Can you explain this answer?
What is the definition of natural numbers?
a)
Counting numbers starting from 1
b)
Numbers expressed as a fraction of two integers
c)
Whole numbers including negative numbers
d)
Counting numbers starting from 0
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EduRev Class 8 answered |
Natural numbers are defined as counting numbers that start from 1 and include all positive integers (1, 2, 3, ...). They do not include zero or any negative numbers.
What interesting property applies to the difference of a two-digit number and its reverse?- a) It is always divisible by 5.
- b) It is always divisible by 11.
- c) It is always divisible by 3.
- d) It is always divisible by 9.
Correct answer is option 'D'. Can you explain this answer?
What interesting property applies to the difference of a two-digit number and its reverse?
a)
It is always divisible by 5.
b)
It is always divisible by 11.
c)
It is always divisible by 3.
d)
It is always divisible by 9.
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Dharampal Singh answered |
Yes
If the last two digits of a number are 16, what can be said about its divisibility by 4?- a) The number is divisible by 4.
- b) The number is divisible by 8.
- c) The number is divisible by 2 only.
- d) The number is not divisible by 4.
Correct answer is option 'A'. Can you explain this answer?
If the last two digits of a number are 16, what can be said about its divisibility by 4?
a)
The number is divisible by 4.
b)
The number is divisible by 8.
c)
The number is divisible by 2 only.
d)
The number is not divisible by 4.
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|
EduRev Class 8 answered |
A number is divisible by 4 if its last two digits form a number that is divisible by 4. Since 16 is divisible by 4, any number ending in 16 is also divisible by 4.
What is the sum of the digits in the number 43242876?- a) 28
- b) 30
- c) 36
- d) 32
Correct answer is option 'C'. Can you explain this answer?
What is the sum of the digits in the number 43242876?
a)
28
b)
30
c)
36
d)
32
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|
EduRev Class 8 answered |
The sum of the digits in 43242876 is calculated as follows: 4 + 3 + 2 + 4 + 2 + 8 + 7 + 6 = 36. This sum is also used to check divisibility by 9.
What is the unique aspect of a cryptarithm puzzle?- a) The numbers must be prime.
- b) Each letter corresponds to a unique digit from 0 to 9.
- c) The operations are always addition.
- d) Each letter can represent multiple digits.
Correct answer is option 'B'. Can you explain this answer?
What is the unique aspect of a cryptarithm puzzle?
a)
The numbers must be prime.
b)
Each letter corresponds to a unique digit from 0 to 9.
c)
The operations are always addition.
d)
Each letter can represent multiple digits.
|
C K Academy answered |
In a cryptarithm, each letter represents a unique digit ranging from 0 to 9. This uniqueness is crucial for solving the puzzle accurately and ensuring that the mathematical operations hold true.
What is the sum of a two-digit number and its reverse given by 'ab' and 'ba'?- a) Divisible by 10
- b) Divisible by 11
- c) Divisible by 5
- d) Divisible by 9
Correct answer is option 'B'. Can you explain this answer?
What is the sum of a two-digit number and its reverse given by 'ab' and 'ba'?
a)
Divisible by 10
b)
Divisible by 11
c)
Divisible by 5
d)
Divisible by 9
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|
EduRev Class 8 answered |
The sum of a two-digit number 'ab' and its reverse 'ba' is always divisible by 11. This is derived from the simplification of the equation (10a + b) + (10b + a) = 11(a + b).
What does it mean for a number to be expressed in its generalized form?- a) It is simplified to its lowest terms.
- b) It means the number is represented as a single digit.
- c) It is written as a sum of each digit multiplied by its place value.
- d) It is expressed only as a fraction.
Correct answer is option 'C'. Can you explain this answer?
What does it mean for a number to be expressed in its generalized form?
a)
It is simplified to its lowest terms.
b)
It means the number is represented as a single digit.
c)
It is written as a sum of each digit multiplied by its place value.
d)
It is expressed only as a fraction.
|
Trisha Vashisht answered |
Expressing a number in its generalized form involves writing it as a sum of each digit multiplied by its respective place value, which illustrates the contribution of each digit to the overall value of the number.
For the number 61809, what is the condition for its divisibility by 11?- a) The number must end in 0.
- b) The sum of all digits must be even.
- c) The difference between the sum of digits in odd positions and even positions must be divisible by 11.
- d) The sum of digits must be greater than 10.
Correct answer is option 'C'. Can you explain this answer?
For the number 61809, what is the condition for its divisibility by 11?
a)
The number must end in 0.
b)
The sum of all digits must be even.
c)
The difference between the sum of digits in odd positions and even positions must be divisible by 11.
d)
The sum of digits must be greater than 10.
|
|
C K Academy answered |
A number is divisible by 11 if the difference between the sum of the digits in odd positions and the sum of the digits in even positions is divisible by 11. This method helps to determine divisibility effectively.
In a three-digit number 'abc', what does 'bca' represent?- a) 100b + 10c + a
- b) 10a + b + c
- c) 100a + 10b + c
- d) 100c + 10a + b
Correct answer is option 'A'. Can you explain this answer?
In a three-digit number 'abc', what does 'bca' represent?
a)
100b + 10c + a
b)
10a + b + c
c)
100a + 10b + c
d)
100c + 10a + b
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|
C K Academy answered |
The arrangement 'bca' in a three-digit number involves the hundreds digit being 'b', the tens digit being 'c', and the units digit being 'a', which translates to the value of 100b + 10c + a.
What is the relationship between factors and multiples?- a) Factors are always greater than the numbers.
- b) Factors are results of multiplication, and multiples divide a number.
- c) Multiples are always prime numbers.
- d) Factors divide a number, while multiples are the results of multiplication.
Correct answer is option 'D'. Can you explain this answer?
What is the relationship between factors and multiples?
a)
Factors are always greater than the numbers.
b)
Factors are results of multiplication, and multiples divide a number.
c)
Multiples are always prime numbers.
d)
Factors divide a number, while multiples are the results of multiplication.
|
|
EduRev Class 8 answered |
Factors of a number are integers that can divide that number evenly, while multiples are the products obtained when a number is multiplied by integers. This relationship is fundamental in number theory.
How many permutations are there for the three-digit number 437?- a) 3
- b) 6
- c) 9
- d) 12
Correct answer is option 'B'. Can you explain this answer?
How many permutations are there for the three-digit number 437?
a)
3
b)
6
c)
9
d)
12
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|
C K Academy answered |
The number of permutations of a three-digit number can be calculated as 3! (3 factorial), which equals 6. The permutations for 437 are 437, 473, 347, 374, 743, and 734.
What are the factors of the number 12?- a) 2, 3, 5, 6
- b) 1, 3, 9, 12
- c) 1, 2, 3, 4, 6, 12
- d) 1, 4, 8, 12
Correct answer is option 'C'. Can you explain this answer?
What are the factors of the number 12?
a)
2, 3, 5, 6
b)
1, 3, 9, 12
c)
1, 2, 3, 4, 6, 12
d)
1, 4, 8, 12
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|
Trisha Vashisht answered |
The factors of a number are those integers that divide it without leaving a remainder. For the number 12, the factors are 1, 2, 3, 4, 6, and 12.
Which of the following represents the generalized form of the number 300?- a) 3 × 10 + 0 × 1
- b) 30 × 10
- c) 3 × 100 + 0 × 10 + 0 × 1
- d) 3 + 0 + 0
Correct answer is option 'C'. Can you explain this answer?
Which of the following represents the generalized form of the number 300?
a)
3 × 10 + 0 × 1
b)
30 × 10
c)
3 × 100 + 0 × 10 + 0 × 1
d)
3 + 0 + 0
|
|
Trisha Vashisht answered |
The number 300 can be expressed in its generalized form as 3 × 100 + 0 × 10 + 0 × 1, clearly indicating the value of each digit based on its place value.
What is the rule for determining if a number is divisible by 2?- a) The number must be odd.
- b) The sum of its digits must be even.
- c) The number must end in 0.
- d) The last digit must be even.
Correct answer is option 'D'. Can you explain this answer?
What is the rule for determining if a number is divisible by 2?
a)
The number must be odd.
b)
The sum of its digits must be even.
c)
The number must end in 0.
d)
The last digit must be even.
|
|
Trisha Vashisht answered |
A number is divisible by 2 if its last digit (units digit) is even. This is a straightforward rule that applies to any integer.
How can the number 540 be verified for divisibility by 6?- a) Check if it is divisible by 2 and 3.
- b) Check if it is greater than 500.
- c) Check if it ends in 0.
- d) Check if it has an even digit.
Correct answer is option 'A'. Can you explain this answer?
How can the number 540 be verified for divisibility by 6?
a)
Check if it is divisible by 2 and 3.
b)
Check if it is greater than 500.
c)
Check if it ends in 0.
d)
Check if it has an even digit.
|
|
C K Academy answered |
A number is divisible by 6 if it is simultaneously divisible by both 2 and 3. For 540, it is even (divisible by 2) and the sum of its digits (5 + 4 + 0 = 9) is divisible by 3, confirming its divisibility by 6.
Chapter doubts & questions for Playing with Numbers - Mathematics Class 8 ICSE 2025 is part of Class 8 exam preparation. The chapters have been prepared according to the Class 8 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 8 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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Mathematics Class 8 ICSE
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