MCQ Questions for Class 6 Maths Integers Quiz 4

Check whether the following statement is true or false.

Zero is greater than every negative integer.

0%
True
0%
False

Zero is neither positive nor negative.

0%
True
0%
False

Explanation

$\bullet$ Integers which lie right to zero on the number line are positive integers.

$\bullet$ Integers which lie left to zero on the number line are negative integers.

$\bullet$ Zero is neither a negative integer nor a positive integer.

$\therefore$

$\textbf{The given statement is True}$

State whether the following statements are true (T) or false (F):
If

$x$ is a negative integer, then

$-x$ is a positive integer.

0%
True
0%
False

Explanation

$x$ is a negative integer, then

$-x$ is a positive integer. True

Difference of two negative integers cannot be a positive integer

0%
True
0%
False

Going 500 m towards east first and then 200 m back is same as going 200 m towards west first and then going 500 m back.

0%
True
0%
False

Explanation

True

Case I - when he travels towards east

$(500-200) m=300 m$

Case II- when he travels towards west

$(200-500) m=-300 m$

State whether the following statement is true or false:

$0$ has no predecessor in integers

0%
True
0%
False

Explanation

$0$ has no predecessor in integers: False
As

$0$ has

$-1$ as its predecessor.

State whether the following statement is true or false:

$0$ is the successor of

$-1$ in integers

0%
True
0%
False

Explanation

$0$ is the successor of

$-1$ in integers: True

Calculate:

$-12-(-7)$

0%
$5$
0%
$-5$
0%
$15$
0%
$-19$

Explanation

$-12 - (-7)$

$= -12 + 7 = -5$

State true or false:

The opposite of zero is zero.

0%
True
0%
False

Explanation

True

$-0=0$

State true or false:

Every negative integer is smaller than

$0$ .

0%
True
0%
False

$0$ ' is greater than every positive integer

0%
True
0%
False

Explanation

$0$ ' is on left of every positive integer, when represented on number line.

So, it is smaller than every positive integer.

Hence, the given statement is false.

"Rajanikant had loss of Rs.

$238$ ."
This is represented by

0%
$+238\%$
0%
$-238\%$
0%
$+238$
0%
$-238$

Explanation

Loss of

$238$ . From the reference level, loss

$= -$ ve and profit is

$= +$ ve.

Therefore loss of 238

$=-238$

The temperature at the foot of a mountain is

$+5^{\circ}$ C. It fell down by

$10^{\circ}$ C at the top of the mountain. The temperature recorded on the top is:

0%
$+15^{\circ}$ C
0%
$-15^{\circ}$ C
0%
$+5^{\circ}$ C
0%
$-5^{\circ}$ C

Explanation

It is given that the temperature at the foot of a mountain is

$+5^0$ C and it fell down by

$10^0$ C at the top of the mountain which can be represented as

$-10^0$ C.

Adding both to find the temperature recorded on the top as follows:

$(+5)+(-10)=5-10=-5$

Hence, the temperature recorded on the top is

$-5^0$ C.

Integer used to represent

$30$ km towards the right:

0%
$30$ km left
0%
$-30$ km
0%
$+30$ km
0%
$0$

Explanation

The integer used to represent

$30$ km towards the west is

$+30$ km

Hence, the answer is

$+30$ km.

Choose the correct statement from following:

0%
$8,58,68,788 > 8,58,78,688 > 8,58,88,687$
0%
$8,58,78,688 > 8,58,68,788 > 8,58,88,687$
0%
$8,58,68,788 > 8,58,88,687 > 8,58,78,688$
0%
$8,58,88,687 > 8,58,78,688 > 8,58,68,788$

Explanation

Clearly the first

$3-$ digits of each number are same.

So, let us compare rest of the remaining

$5-$ digits of each number.

For option

$\text{A}$ , we have

$68788,78688,88687$

Clearly,

$88687>78688>68788$

So, option

$\text{A}$ is wrong.

Now, check for option

$\text{D}$

We have,

$88687, 78688, 68788$

Clearly,

$88687>78688>68788$ $$

So, option

$\text{D}$ is correct.

Evaluate:

$-123-(-23)$

0%
$146$
0%
$-146$
0%
$100$
0%
$-100$

Explanation

Given that

We have to find the value of given expression

$-123-(-23)$

we know that

$(-) \times (-) = +$

and

$(+) \times (-) = -$

$=-123+23$

$=-100$

So option

$D$ is correct

The identity elements with respect to addition in integers is

0%
$1$
0%
$-1$
0%
$0$
0%
none

Explanation

Any mathematical object that ,when applied by an operation ,such as addition and multiplication ,to another mathematical object ,such as numbers , leaves the another object unchanged is called an identity object.

The identity element with respect to addition in integers is '

$0$ '.

"Varsha dug the soil

$200$ m deep." Represent this situation using integer.

0%
$100$
0%
$-100$
0%
$200$
0%
$-200$

Explanation

The positive integers are represented as by the sign

$(+)$ in front of the each

$'n'$ integer. The set of positive integers may be denoted by

$Z^+$ . Positive integers are:

$Z^+ = {1, 2, 3, 4, 5, .....}$

The negative integers are the collection of real numbers with negative sign

$(-)$ in front of the standard numerals and are always less than zero. The set of negative integers is represented by

$Z^−$ . Negative integers are written as:

$Z^− = {...., -5, -4, -3, -2, -1}$

Moreover, shallow represents the positive sign

$(+)$ and deep represents the negative sign

$(-)$ .

Hence, the statement "Varsha dug the soil

$200$ m deep." represents the negative sign that is

$-200$ .

Obtain the following:

$(+138) + (-234)$

0%
$60$
0%
$372$
0%
$96$
0%
$-96$

Explanation

Write given integers in addition expression and we get:

$(+138) + (-234)$

Subtract smaller integer

$138$ from bigger integer

$234$ as follows:

$234-138=96$

Since, the bigger integer

$234$ is a negative integer, so the result should also be negative that is

$-96$

Hence,

$138-234=-96$ .

Find:

$(+22) + (-16)$

0%
$-6$
0%
$6$
0%
$5$
0%
$-5$

Explanation

Write given integers in addition expression and we get:

$(+22) + (-16)$

Subtract smaller integer

$16$ from bigger integer

$22$ as follows:

$22-16=6$

Since, the bigger integer

$22$ is a positive integer, so the result should also be positive that is

$+6$ or

$6$ .

Hence,

$-16+22=6$

Evaluate:

$(+5)+(-6)= ?$

0%
$-1$
0%
$1$
0%
$2$
0%
$-2$

Explanation

Write given integers in addition expression and we get:

$(+5) + (-6)$

Subtract smaller integer

$5$ from bigger integer

$6$ as follows:

$6-5=1$

Since, the bigger integer

$-6$ is a negative integer, so the result should also be negative that is

$-1$

Hence,

$+5-6=-1$ .

The coordinate of

$3^{rd}$ alphabet on left of

$C$ is

0%
$-3$
0%
$3$
0%
$0$
0%
$1$

Explanation

$3$ rd alphabet to the left of

$C$ is O.

O lies on

$0$ on number line. Hence, its coordinate is

$0$ .

State whether the following statement is true or false:

Every integer is a whole number.

0%
True
0%
False

Explanation

This statement is false because the set of integers is represented as Z

$= { -2, -1, 0, 1, 2...}$ and the set of whole numbers is W

$= {0, 1, 2, 3...}.$ We see that the negative integers are not the elements of the whole numbers set. For example,

$-2$ is an integer but not a whole number.

$\therefore$ we conclude that every whole number is an integer but every integer is not a whole number.

Evaluate:

$-675-(25)$

0%
$0$
0%
$100$
0%
$700$
0%
$-700$

Explanation

The given expression

$-675-(25)$ can be solved as follows:

$(-675) + (-25)=-675-25=-1(675+25)=-700$

Hence,

$-675-(25)=-700$ .

In which of the following pairs of integers, the first integer is not on the left of the other integer on the number line?

0%
$(-1, 10)$
0%
$(-3, -5)$
0%
$(-5, -3)$
0%
$(-6, 0)$

Explanation

We have to find the first integer which is right of the second integer.

(a)

$-1$ lies on the left of

$10$

$\therefore$

$\bf{-1 < 10}$

(b)

$-3$ lies on the right of

$-5$

$\therefore$

$\bf{-3 > -5}$

(c)

$-3$ lies on the right of

$-5$

$\therefore$

$\bf{-5 < -3}$

(d)

$0$ lies on the right of

$-6$

$\therefore$

$\bf{-6 < 0}$

$\textbf{From all the four options, -3 is not on the left of -5}$ .

$\therefore$

$\textbf{Option (B) is correct}$ .

Which situation is best represented by the integer

$-12$ ?

0%
The length of curtains is increased by $12$ inches
0%
The price of petrol is reduced by Rs. $12$
0%
The size of picture is enlarged by $12$ percent
0%
The temperature rises by ${12}^{o}C$

Explanation

Let increase in the petrol be represented by

$+$ and decrease in the petrol be represented by

$-$ .

Situation in option (a), (c), (d) represents

$+12$

SItuation in option (b) represents

$-12$

Answer B

The integer

$5$ units to the right of

$0$ on the number line is:

0%
$+5$
0%
$-5$
0%
$+4$
0%
$-4$

Explanation

On the number line identify zero and move 5 units towards the right.

We will reach

$+5$

$\therefore$

$\textbf{Option (a) is correct}$ .

State whether the following statement istrue (T) or false (F):
The successor of

$-29$ is

$30$ .

0%
True
0%
False

Explanation

$30$ is the successor of

$-29$ .-False

Correct

$-28$ is the successor of

$-29$ .

Which of the following option is not true with respect to given number line?

0%
$B$ is greater than $-10$
0%
$A$ is greater than $0$
0%
$A$ is greater than $B$
0%
$B$ is greater than $0$

Explanation

We have,

$A=8$ and

$B=-4$

The numbers on the number line increase on moving from left to right on the number line. The point

$B$ is left to the number

$0$ , so

$B$ is less than

$0.$ .

$A. \,-4 > -10 \Rightarrow B > -10$ True

$B$ is right to

$-10$ . So,

$B$ is greater.

$B.\, 8>0 \Rightarrow A > 0$ True

$A$ is right to

$0$ . So,

$A$ is greater.

$C. A > -4 \Rightarrow A > B$ True

$A$ is right to

$B$ . So,

$A$ is greater.

$D. \, As \,-4<0 \Rightarrow B < 0$ . So,

$B> 0$ is false.

$0$ is right to

$B$ . So,

$0$ is greater.

Which of the following statements is CORRECT?
Statement-

$1$ : When a positive integer and a negative integer are added, we always get a negative integer.
Statement-

$2$ : When two negative integers are added, we get a positive integer.

0%
Only Statement- $1$
0%
Only Statement- $2$
0%
Both Statement- $1$ and Statement- $2$
0%
Neither Statement- $1$ nor Statement- $2$

Explanation

When a positive integer and a negative integer are added, we can get a positive or negative integer.
Therefore, statement

$1$ is false.

Fro example:

$-4+3=-1$ or

$4+(-3)=1$
And when two negative integers are added, we get a negative integer.

$\therefore$ Statement

$2$ is false.

For example:

$-3+(-4)=-7$

CBSE Questions for Class 6 Maths Integers Quiz 4 - MCQExams.com

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Practice Class 6 Maths Quiz Questions and Answers

CBSE Questions for Class 6 Maths Integers Quiz 4 - MCQExams.com

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Practice Class 6 Maths Quiz Questions and Answers

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