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CBSE Questions for Class 6 Maths Integers Quiz 6 - MCQExams.com
CBSE
Class 6 Maths
Integers
Quiz 6
Which of the following is a true statement?
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$$-4 > -3$$
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$$-4 < -3$$
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$$-4$$ and $$-3$$ are non-comparable
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None
Explanation
$$-4$$ lies on left hand side of $$-3$$ on the number line.
Hence $$-4$$ is less than $$-3$$
$$\therefore -4 < -3$$
Option $$(B)$$ is the correct answer
The predecessor of $$-16$$ is
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$$-15$$
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$$-17$$
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$$15$$
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$$17$$
Explanation
To find the predecessor of a number we move from right to the left on the number line
And , $$-17$$ lies on left side of $$-16$$
Hence, $$-17$$ is the predecessor of $$-16$$
Option $$(B)$$ is the correct answer
$$-12- (-5) = ?$$
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$$-17$$
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$$-7$$
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$$7$$
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None of these
Explanation
$$\textbf{Step-1: Simplification}$$
$$-12-(-5)=?$$
$$\text{We know that}$$ $$(-)\times (-)=+$$
$$\text{Hence, we get}$$ $$-12+5$$
$$\textbf{Step-2: Solving}$$
$$-12+5=5-12$$
$$=-7$$
$$\textbf{Hence , the correct option is (B).}$$
Check whether the following statement is true or false:
$$-10$$ is greater than $$-7$$.
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True
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False
Explanation
It is False.
Because for negative integers as the number increases, its value with negative sign decreases.
$$\therefore -10\ <\ -7$$
Check whether the following statement is true or false.
The sum of a negative integer and a positive integer is always a positive integer.
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True
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False
Explanation
It is False.
Because we find the difference between the numbers and assign the sign of bigger number to result.
If bigger number is negative then result will be negative.
Example., $$-5+1=-4$$, which is not positive.
Mark against the correct answer in the following:
On subtracting -8 from -13, we get
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-21
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21
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5
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-5
Explanation
To get the required value, we subtract $$-8$$ from $$-13$$
$$=-13-(-8)$$
$$=-13+8$$
$$=-5$$
State whether the following statements are true or false . If a statement is false , write the corresponding statement.
$$ -187 $$ is the predecessor of $$ -188 $$.
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True
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False
Explanation
$$ -187 $$ is the predecessor of $$ -188 $$.-False
Correct
$$ -187 $$ is the successor of $$ -188 $$.
On subtracting $$ -7 $$ from $$ -4 $$ , we get
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$$ 3 $$
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$$ -3 $$
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$$ -11 $$
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None of these
Explanation
$$\begin{aligned}{} - 4 - ( - 7) &= - 4 + 7\\ &= 3\end{aligned}$$
Hence, if $$-7$$ is subtracted from $$-4$$ then we get $$3.$$
State whether the following statement is true or false:
Zero is an integer.
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True
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False
Explanation
Yes, zero is an integer.
We know that all whole numbers are integers and $$0$$ is also a whole number. So, $$0$$ is an integer
Hence, option $$A$$ is correct.
The least integer lying between $$-10$$ and $$-15$$ is
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$$-10$$
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$$-11$$
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$$-14$$
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$$-15$$
Explanation
Integers lying between $$-10$$ and $$-15$$ are $$-11, -12, -13$$ and $$-14$$.
As, $$-11 > -12 > -13 > -14$$
So, $$-14$$ is the least integer.
$$\therefore$$ $$\textbf{Option (d) is the correct answer}$$.
Find the value of:
$$(-8) + (-9) $$
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$$ 18 $$
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$$ -18 $$
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$$ 16 $$
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$$ -17 $$
Explanation
Given: $$(-8) + (-9)$$
$$=-8-9$$
$$= -17$$
The greater integer lying between $$-10$$ and $$-15$$ is
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$$-10$$
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$$- 11$$
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$$-14$$
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$$-15$$
Explanation
Integers lying between $$-10$$ and $$-15$$ are $$-11, -12, -13$$ and $$-14$$.
We know that, $$-11 > -12 > -13 > -14$$
So, $$-11$$ is the largest.
$$\therefore$$ $$\textbf{Option (b) is correct}$$
The integer which is $$ 7 $$ more than $$ -4 $$ is
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$$ -7 $$
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$$ -3 $$
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$$ 3 $$
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$$ 7 $$
Explanation
Starting from $$-4$$, move $$7$$ unit right. So, from the above figure, we can conclude that i
nteger $$ 3$$ is $$7$$ more than $$ -4 .$$
The integer with a negative sign $$(-)$$ is always less than
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$$0$$
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$$-3$$
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$$-1$$
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$$-2$$
Explanation
We know that integers below $$0$$ are negative integers.
So, an Integer with negative sign is always less than zero.
$$\therefore$$ $$\textbf{Option (a) is correct}$$.
The predecessor of the integer $$-1$$ is
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$$0$$
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$$2$$
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$$-2$$
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$$1$$
Explanation
The predecessor of integer $$n$$ is given by $$n-1$$.
Hence, the predecessor of $$-1$$ is $$(-1 - 1) = -2$$.
On the number line, the integer 5 is located _______.
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to the left of $$0$$
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to the right of $$0$$
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to the left of $$1$$
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to the left of $$-2$$
Explanation
$$\bullet$$ Positive integers lie right of zero on the number line.
$$\bullet$$
Negative integers lie left of zero on the number line.
As, $$5$$ is positive integer, it lies to the right of $$0$$.
$$\therefore$$ $$\textbf{Option (b) is the correct answer}$$.
Every integer less than $$0$$ has the sign.
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$$+$$
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$$-$$
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$$\times$$
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$$\div$$
Explanation
$$\bullet$$ Integers which are less than $$0$$ are called negative integers.
$$\bullet$$
Integers which are greater than $$0$$ are called positive integers.
So, an integer less than $$0$$ has a negative sign.
$$\therefore$$ $$\textbf{Option (b) is correct}$$.
An integer with positive sign (+) is always greater than
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$$0$$
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$$1$$
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$$2$$
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$$3$$
Explanation
We know that integers above $$0$$ are positive integers.
So, an Integer with a positive sign is always greater than zero.
$$\therefore$$ $$\textbf{Option (a) is correct}$$.
Number of integers lying between $$-1$$ and $$1$$ is
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$$1$$
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$$2$$
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$$3$$
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$$0$$
Explanation
The integer lying between $$-1$$ and $$1$$ is $$0$$
$$\textbf{So, Number of integers lying between -1 and 1 is 1}$$.
$$\therefore$$ $$\textbf{Option (a) is correct}$$.
The successor of the predecessor of $$-50$$ is
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$$-48$$
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$$-49$$
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$$-50$$
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$$-51$$
Explanation
$$\textbf{Step 1: Find the predecessor of a number}$$.
Predecessor of a number is formed by subtracting $$1$$ from it.
$$-50 - 1 = -51$$
$$\textbf{Step 2: Finding successor of above resulting number}$$
Successor of a number is formed by adding $$1$$ to it.
$$-51 + 1 = -50$$
$$\textbf{Successor of the predecessor of -50 is -50}$$
$$\therefore$$ $$\textbf{Option (C) is correct}$$.
When a negative integer is subtracted from another negative integer, the sign of the result
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is always negative
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is always positive
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is never negative
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depends on the numerical value of the integers
Explanation
$$\textbf{Case 1:}$$ Let us consider two negative integers $$-4$$ and $$-5$$
$$-4 - (-5) = -4 + 5$$
$$= 1$$
Here, the difference of two negative numbers gives a positive integer.
$$\textbf{Case 2:}$$ Now, let us consider two negative integers $$-3$$ and $$-2$$
$$-3 - (-2) = -3 + 2$$
$$= -1$$
Here, the difference of two negative numbers gave a negative integer.
Thus, if a negative integer is subtracted from another negative integer, results always depend on numerical values of integers.
$$\therefore$$ $$\textbf{Correct option is d}$$
Three digit numbers in which the middle one is a perfect square are formed using the digits 1 to 9, their sum is (assume repetition of digits is allowed)
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134055
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270540
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170055
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270504
Which of the following options shows the given number sentence?
-13 + (-3) = -16
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When two positive integers are added, we get a positive integer.
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When two negative integers are added, we get a negative integer.
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The subtraction of an integer is the same as the addition of its additive inverse.
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All of these
Explanation
We are given that $$-13 + (-3) = -16$$.
The LHS is the sum of the negative integers and the RHS is a negative integer. Thus, the correct answer is option $$B$$
Which of the following is CORRECT ?
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-99 < 0 < 2 < -37
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-99 < -37 < 0 < 2
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-37 < 0 < 2 < -99
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-37 < -99 < 0 < 2
The sum of any two negative integers is always smaller than both the integers.
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True
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False
Explanation
Consider two negative integers $$-4$$ and $$-5$$.
$$-4 + (-5) = - 4 - 5$$
$$= -9$$
Since $$-9 < -4$$ and $$-9 < -5$$
Therefore $$-4 + (-5) < -4$$ and $$-4 + (-5) < -5$$
Thus, the sum of two negative integers is always smaller than both the integers.
$$\therefore$$ $$\textbf{The given statement is True}$$.
Every positive integer is larger than every negative integer.
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True
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False
Explanation
Positive integers are always greater than $$0$$ and negative integers. Also from the number line, all positive numbers lie on the right of negative integers and zero.
$$\therefore$$ $$\textbf{The given statement is True}$$.
State whether the given statement is true (T) or false (F)
Since $$5 > 3$$, therefore $$-5 > -3$$.
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True
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False
Explanation
We know that $$5 > 3$$,
But, $$-5 < -3$$ as $$-3$$ lies right of $$-5$$
$$\therefore$$ $$\textbf{The given statement is False}$$
State whether the given statement is true (T) or false (F):
Zero is not an integer as it is neither positive nor negative.
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True
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False
Explanation
Zero is an integer and it is neither positive nor negative.
$$\therefore$$ $$\textbf{The given statement is False}$$.
The sum of all the integers between $$-5$$ and $$-1$$ is $$-6$$.
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True
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False
Explanation
Integers between $$-5$$ and $$-1$$ are $$-4, -3, -2$$
$$\textbf{Sum of integers between -5 and -1 = (-4) + (-3) + (-2)}$$
$$\textbf{= -4 - 3 - 2}$$
$$\textbf{= -9}$$
Thus, sum of all the integers between $$-5$$ and $$-1$$ is $$-9$$
$$\therefore$$ $$\textbf{The given statement is False}$$.
The sum of any two negative integers is always greater than both the integers.
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True
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False
Explanation
Consider two negative integers $$-4$$ and $$-5$$
$$-4 + (-5) = - 4 - 5$$
$$= -9$$
Since $$-9 < -4$$ and $$-9 < -5$$
Therefore $$\textbf{-4 + (-5) < -4 and -4 + (-5) < -5}$$
Thus, the sum of two negative integers is not always greater than both the integers.
$$\therefore$$ $$\textbf{The given statement is false}$$.
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