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CBSE Questions for Class 6 Maths Whole Numbers Quiz 5 - MCQExams.com
CBSE
Class 6 Maths
Whole Numbers
Quiz 5
State true or false of the following.
The whole number $$1$$ has $$0$$ as predecessor.
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0%
True
0%
False
Explanation
The set of whole number system starts from the number $$0$$.
And the set is $$\{0,1,2,3,.....\}$$.
So it is clear that the number $$1$$ has $$0$$ as predecessor in the whole number system.
State true or false of the following.
$$0$$ is less than every natural number.
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0%
True
0%
False
Explanation
The set of natural numbers is $$\{1,2,3,......\}$$.
It is clear that each natural number is greater than $$0$$.
State true or false of the following.
Every whole number has its predecessor.
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0%
True
0%
False
Explanation
The statement is false.
As, consider $$0$$, which is a whole number but it has no predecessor.
Mark the correct alternative of the following.
How many three digit numbers are there in all?
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$$100$$
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$$900$$
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$$99$$
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$$102$$
Explanation
Largest 3-digit number = 999
Smallest 3-digit number =100
Total 3-digit numbers = Largest 3-digit - Smallest 3-digit + 1
Total 3- digit numbers = 999 - 100 + 1 = 900
Mark the correct alternative of the following.
The product of the successor and predecessor of $$99$$ is?
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0%
$$9800$$
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$$9900$$
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$$1099$$
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$$9700$$
Explanation
The successor and the predecessor of the number $$99$$ are $$99+1=100 $$ and $$99-1=98$$ respectively.
So the product of the successor and the predecessor is $$98\times 100=9800$$.
Mark the correct alternative of the following.
The predecessor of $$1$$ million is?
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$$9999$$
0%
$$99999$$
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$$999999$$
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$$1000001$$
Explanation
The predecessor of the number $$1$$ million is the number just before it and it is $$10,00000-1=999,999$$.
Mark the correct alternative of the following.
The predecessor of $$1$$ in whole numbers is?
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0%
$$0$$
0%
$$-1$$
0%
$$2$$
0%
None of these
Explanation
The set of whole number system starts from $$0$$, so the predecessor of the number $$1$$ is $$0$$ in whole number system.
Mark the correct alternative of the following.
The successor of 1 million is?
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$$10001$$
0%
$$100001$$
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$$1000001$$
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$$10000001$$
Explanation
We know that, a successor is a number that appears immediately after a given number.
We obtain the successor of a number by adding $$1$$ to that number.
The given number is $$1\ million$$
$$\Rightarrow 1000000$$
$$\therefore \ $$ The its successor $$=1000000+1=1000001$$.
Hence, the successor of $$1\ million$$ is $$1000001$$.
Every whole number has its predecessor.
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0%
True
0%
False
Explanation
$$\textbf{Reason:}$$
The predecessor of a number is one less than the given number.
Predecessor of $$0$$ (which is a whole number) does not exist.
So, we can say that every whole number except $$0$$ has its predecessor.
$$\therefore\ \textbf{The given statement is False}.$$
If the sum of two distinct whole numbers is odd, then their difference also must be odd.
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0%
True
0%
False
Explanation
Let us assume two whole numbers $$5$$ and $$6$$ then:
Their sum is $$5 + 6 = 11$$ ($$11$$ is odd)
And their difference is $$6 - 5 = 1$$ ($$1$$ is odd)
Clearly, the sum and difference are both odd.
$$\textbf{Therefore the given statement is True}.$$
Number of whole numbers lying between $$-5$$ and $$5$$ is
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$$10$$
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$$3$$
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$$4$$
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$$5$$
Explanation
Whole number consists of all positive integers including $$0$$.
We know that, integers lying between $$-5$$ to $$5$$ are $$-4, -3, -2, -1, 0, 1, 2, 3$$ and $$4$$.
As per the question, we have to consider the whole number from the list of numbers.
$$\textbf{So, whole numbers lying between -5 and 5 are 0, 1, 2, 3 and 4}$$.
$$\therefore$$ $$\textbf{Option (d) is correct}$$.
All whole numbers are integers.
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0%
True
0%
False
Explanation
Whole numbers are natural numbers including zero.
Whole numbers are $$\bf{0, 1, 2}$$…....
Integers are combinations of positive numbers, negative numbers and zero .
Integers are …….$$-3, -2, -1, \bf{0, 1, 2, 3}$$…….
So, we can say that all whole numbers are integers.
$$\therefore$$ $$\textbf{The given statement is True}$$
Natural numbers are closed under addition.
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0%
True
0%
False
Explanation
$$\textbf{Reason:}$$
Closure property of addition of natural numbers states that the addition of two or more natural numbers
always
results in a natural number.
Clearly any two or more natural numbers added results in a natural number.
For example:
$$3 + 2 = 5$$ a natural number
$$43 + 67 + 2 = 112$$ a natural number
$$\therefore\ \textbf{The given statement is True}.$$
There is a whole number which when added to a whole number, gives the number itself.
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0%
True
0%
False
Explanation
Zero is the whole number which when added to any whole number gives the same whole number as a result.
For example:
$$3 + 0 = 3$$
$$4009 + 0 = 4009$$
$$\therefore\ \textbf{The given statement is True}.$$
Natural numbers are not closed under multiplication.
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0%
True
0%
False
Explanation
$$\textbf{Reason:}$$
Closure property of multiplication of natural numbers states that the
multiplication of two or more natural
numbers always results in a natural number.
Clearly two or more natural numbers multiplied results in a natural number.
For example:
$$3 \times 2 = 6$$ a natural number
$$20 \times 100 = 2000$$ a natural number
$$\therefore\ \textbf{The given statement is False}.$$
Between any two natural numbers, there is one natural number.
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0%
True
0%
False
Explanation
There is no natural number between $$5$$ and $$6$$.
$$\therefore\ \textbf{The given statement is False}.$$
Natural numbers are closed under subtraction.
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0%
True
0%
False
Explanation
$$\textbf{Reason:}$$
Closure property for natural numbers is followed when two natural numbers
undergo any arithmetic
operation
then the result obtained is always a natural
number.
The subtraction of some natural numbers may not give a natural
number.
For example:
$$5 - 7$$ is not a natural number,
$$20 - 435$$ is not a natural number
$$\therefore\ \textbf{The given statement is False}.$$
The addition is commutative for natural numbers.
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0%
True
0%
False
Explanation
The addition of any two natural numbers does not depend on the order in which
they are taken
(also known as commutativity),
For example:
$$3 + 2 = 2 + 3 = 5$$
$$20 + 100 = 100 + 20 = 120$$
$$\therefore\ \textbf{The given statement is True}.$$
Find value of K
$$19 \times 12+19= 19\times (12+K)$$
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$$1$$
0%
$$2$$
0%
$$3$$
0%
$$-1$$
Explanation
Let, the member is $$K$$
$$19 \times 12+19= 19\times (12+K)$$
$$228+19=19 \times 12+19 \times K$$
$$228+19=228 +19 \times K$$
$$19 \times K=228+19-228$$
$$19 \times K=19$$
$$K=\dfrac{\not{19}}{ \not{19}}=1$$
Number of whole numbers between $$38$$ and $$68$$ is
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$$31$$
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$$30$$
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$$29$$
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$$28$$
Explanation
The number of whole numbers between any two whole numbers is:
The difference of the numbers $$-1$$
So, number of whole numbers between $$38$$ and $$68 = 68 - 38 - 1$$
$$= 29$$
$$\therefore\ \textbf{Option C is correct}$$
$$4+6 = ?$$
By observing the given figure, what will occur in the place of question mark$$(?)$$
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0%
$$8$$
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$$9$$
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$$10$$
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$$11$$
Which of the following is not true?
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$$(7+8)+9=7+(8+9)$$
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$$(7\times 8)\times 9=7\times (8\times 9)$$
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$$7+8\times 9=(7+8)\times (7+9)$$
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$$7\times (8+9)=(7\times 8)+(7\times 9)$$
Explanation
$$\textbf{Step 1: Recall Associative property of addition and multiplication.}$$
By Associative property of addition and multiplication we have
$$(7 + 8) + 9 = 7 + (8 + 9) $$ and $$(7 \times 8) \times 9 = 7 \times (8 \times 9)$$ are correct
$$\therefore\ \textbf{Option A and B are true}$$.
$$\textbf{Step 2: Recall Distributive property of multiplication over addition}$$
By distributive property of multiplication over addition we have
$$7 \times (8 + 9) = (7 \times 8) + (7 \times 9)$$ is correct.
$$\textbf{So Option D is also true}$$.
$$7 + 8 \times 9 = 7 + 72$$
$$ = 79$$
$$(7 + 8) \times (7 + 9) = 15 \times 17$$
$$= 255$$
So $$7 + 8 \times 9 = (7 + 8) \times (7 + 9)$$ is incorrect.
$$\therefore\ \textbf{Option C is not true}$$.
$$\textbf{Therefore the correct option is C}$$.
Which letter represents $$5$$ on the given number line?
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$$A$$
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$$B$$
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$$C$$
0%
$$D$$
Explanation
On the given number line,
Letter $$A$$ represents $$0$$.
Letter $$B$$ represents $$2$$.
Letter $$C$$ represents $$5$$.
Letter $$D$$ represents $$7$$.
So, letter $$C$$ represents $$5$$.
Hence, $$Op-C$$ is correct.
Write the correct answer from the given four options.
How many natural numbers lie between $$5^2$$ and $$6^2$$?
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0%
9
0%
10
0%
11
0%
12
Explanation
Square of 5 = 25 and
Square of 6 = 36
Natural numbers lie between 25 and 36 = 26, 27, 28, 29, 30, 31, 32, 33, 34, 35.
State true/false:
$$1$$ is the correct answer in place of question mark $$(?)$$ in the following:
$$59 \times 99 = 59 \times 100 - 59 \times ? $$
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0%
True
0%
False
Choose the correct answer in place of question mark$$(?)$$ in the following:
$$7 \times ? = 1$$
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$$\dfrac{1}{4}$$
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$$\dfrac{1}{5}$$
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$$\dfrac{1}{6}$$
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$$\dfrac{1}{7}$$
When zero $$(0)$$ is divided by any non zero number, the resulting answer will be ____.
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$$0$$
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$$1$$
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$$2$$
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$$3$$
If the product of two numbers is zero, then
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first number will be non zero
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either first number or second number is zero
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can't say anything
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none of these
Study the following pattern and hence write the next step.
$$9 \times 3 = (10-1) \times 3 $$
$$99 \times 3 = (100-1) \times 3$$
$$999 \times 3 = (1000-1) \times 3$$
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$$9999 \times 3 = (1000-1) \times 3$$
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$$9999 \times 3 = (10000-1) \times 3$$
0%
$$999 \times 3 = (10000-1) \times 3$$
0%
None of these
Fill in the blank:
$$5 \times$$ ____ $$= 0$$
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0%
$$1$$
0%
$$2$$
0%
$$3$$
0%
none of these
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