Integers Test

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Integers Test - 16

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Weekly Quiz Competition

Question 1
1 / -0

Choose the correct statement from following:

A
$$8,58,68,788 > 8,58,78,688 > 8,58,88,687$$

B
$$8,58,78,688 > 8,58,68,788 > 8,58,88,687$$

C
$$8,58,68,788 > 8,58,88,687 > 8,58,78,688$$

D
$$8,58,88,687 > 8,58,78,688 > 8,58,68,788$$

Solution

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.
Question 2
1 / -0

Evaluate:
$$-123-(-23)$$

A
$$146$$

B
$$-146$$

C
$$100$$

D
$$-100$$

Solution

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
Question 3
1 / -0

The identity elements with respect to addition in integers is

A
$$1$$

B
$$-1$$

C
$$0$$

D
none

Solution

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 '$$0$$'.
Question 4
1 / -0

"Varsha dug the soil $$200$$ m deep." Represent this situation using integer.

A
$$100$$

B
$$-100$$

C
$$200$$

D
$$-200$$

Solution

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 $$-200$$.
Question 5
1 / -0

Obtain the following:
$$(+138) + (-234)$$

A
$$60$$

B
$$372$$

C
$$96$$

D
$$-96$$

Solution

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, $$138-234=-96$$.
Question 6
1 / -0

Find:
$$(+22) + (-16)$$

A
$$-6$$

B
$$6$$

C
$$5$$

D
$$-5$$

Solution

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, $$-16+22=6$$
Question 7
1 / -0

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

A
$$-1$$

B
$$1$$

C
$$2$$

D
$$-2$$

Solution

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, $$+5-6=-1$$.
Question 8
1 / -0

The coordinate of $$3^{rd}$$ alphabet on left of $$C$$ is

A
$$-3$$

B
$$3$$

C
$$0$$

D
$$1$$

Solution

$$3$$rd alphabet to the left of $$C$$ is O.

O lies on $$0$$ on number line. Hence, its coordinate is $$0$$.
Question 9
1 / -0

Evaluate:
$$-675-(25)$$

A
$$0$$

B
$$100$$

C
$$700$$

D
$$-700$$

Solution

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

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

Hence, $$-675-(25)=-700$$.
Question 10
1 / -0

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.

A
Only Statement-$$1$$

B
Only Statement-$$2$$

C
Both Statement-$$1$$ and Statement-$$2$$

D
Neither Statement-$$1$$ nor Statement-$$2$$

Solution

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

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Integers Test - 16

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Integers Test - 16

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Question 1

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

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

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

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

Solution

Question 2

$$146$$

$$-146$$

$$100$$

$$-100$$

Solution

Question 3

$$1$$

$$-1$$

$$0$$

none

Solution

Question 4

$$100$$

$$-100$$

$$200$$

$$-200$$

Solution

Question 5

$$60$$

$$372$$

$$96$$

$$-96$$

Solution

Question 6

$$-6$$

$$6$$

$$5$$

$$-5$$

Solution

Question 7

$$-1$$

$$1$$

$$2$$

$$-2$$

Solution

Question 8

$$-3$$

$$3$$

$$0$$

$$1$$

Solution

Question 9

$$0$$

$$100$$

$$700$$

$$-700$$

Solution

Question 10

Only Statement-$$1$$

Only Statement-$$2$$

Both Statement-$$1$$ and Statement-$$2$$

Neither Statement-$$1$$ nor Statement-$$2$$

Solution

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