M.C.Q. [1 Marks Each]

MCQ 11 Mark

On the number line, the integer $5$ is located:

A
To the left of $0$.
✓
To the right of $0$.
C
To the left of $1$.
D
To the left of $-2$.

Answer

Correct option: B.

To the right of $0$.

We know that, all the positive integers lie on the right of $0$.
So, integer $5$ is also located to the right of $0$.

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MCQ 21 Mark

The additive inverse of a negative integer:

A
Is always negative.
✓
Is always positive.
C
Is the same integer.
D
Zero.

Answer

Correct option: B.

Is always positive.

Additive inverse of an integer is obtained by changing the sign of the integer.
Therefore, the additive inverse of a negative integer is always positive.
Let a nagative integer be $-5$. Then, additive inverse of $-5 = -(-5) = 5.$

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MCQ 31 Mark

The successor of the predecessor of $-50$ is:

A
$-48$
B
$-49$
✓
$-50$
D
$-51$

Answer

Correct option: C.

$-50$

For predecessor, we subtract $1$ from the given integer and for successor, we add $1$ to the given integer.
The predecessor of $-50 = -50 -1 = -51$ and the successor of $-51 = -51 + 1 = -50.$

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MCQ 41 Mark

The least integer lying between $-10$ and $-15$ is:

A
$-10$
B
$-11$
C
$-15$
✓
$-14$

Answer

Correct option: D.

$-14$

The integers lying between $-10$ and $-15$ are $-11, -12, -13$ and $-14.$
The least integer among these is $-14.$ [because with negative sign, greater number is smaller]

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MCQ 51 Mark

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

A
$(-1, 10)$
✓
$(-3, -5)$
C
$(-5, -3)$
D
$(-6, 0)$

Answer

Correct option: B.

$(-3, -5)$

Firstly, draw a number line and mark all the given pairs of integers on it.

Clearly, we observe that $-3$ is on the right of $-5$.

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MCQ 61 Mark

The integer ‘$5$ units to the right of $0$ on the number line’ is:

✓
$+5$
B
$-5$
C
$+4$
D
$-4$

Answer

Correct option: A.

$+5$

Firstly, draw a number line and mark some points at equal distance on it. Mark a point as zero on it. On moving $5$ units to the right of $0$, we reach on $+5.$

Hence, point/ $4$ represents $+5$.
Note: All the positive integers lie to the right of 0 and the negative integers to the left of $0$ on the number line.

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MCQ 71 Mark

The statement "When an integer is added to itself, the sum is greater than the integer" is:

A
Always true.
B
Never true.
✓
True only when the integer is positive.
D
True for non-negative integers.

Answer

Correct option: C.

True only when the integer is positive.

Suppose we take two integers one positive $(+1)$ and other negative $-1$.
On adding $1$ to itself, we get $1 + 1 = 2.$
Here, the sum is greater than the integer $(+1).$
Again, adding $-1$ to itself, we get $-1 + (-1) = -1 -1 = -2$ Here, the sum is less than the integer $-1.$
Hence, the given statement is true only when the integer is positive.

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MCQ 81 Mark

The greatest integer lying between $-10$ and $-15$ is:

A
$-10$
✓
$-11$
C
$-15$
D
$-14$

Answer

Correct option: B.

$-11$

The integers lying between $-10$ and $-15$ are $-11, -12, -13$ and $-14.$
The greatest integer among these is $-11.$
with negative sign, smaller number is greater.

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MCQ 91 Mark

Every integer less than $0$ has the sign:

A
$+$
✓
$-$
C
$\times $
D
$÷$

Answer

Correct option: B.

$-$

Every integer less than $0$ has the negative $(-)$ sign.
Note: An integer is positive, if it is greater than zero and negative, if it is less than zero.

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MCQ 101 Mark

Number of integers lying between $-1$ and $1$ is:

✓
$1$
B
$2$
C
$3$
D
$0$

Answer

Correct option: A.

$1$

The integers lying between $-1$ and $1$ is $0$, so there is only one integer.

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MCQ 111 Mark

The predecessor of the integer $-1$ is:

A
$0$
B
$2$
✓
$-2$
D
$1$

Answer

Correct option: C.

$-2$

We know that, one less than a given number, gives a predecessor. Predecessor of the integer $-1 = -1 -1 = -2$
Hence, predecessor of the integer $-1$ is $-2$.

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MCQ 121 Mark

Which of the following shows the maximum rise in temperature?

A
$0^\circ C$ to $10^\circ C.$
✓
$-4^\circ C$ to $8^\circ C.$
C
$-15^\circ C$ to $-8^\circ C.$
D
$-7^\circ C$ to $0^\circ C.$

Answer

Correct option: B.

$-4^\circ C$ to $8^\circ C.$

We know that, the maximum rise in the temperature is equal to the maximum value of difference of two temperatures.
$b.$ Difference of $0^\circ C$ to $10^\circ C = 10^\circ C - 0^\circ C = +10^\circ C.$
$c.$ Difference of $-4^\circ C$ to $8^\circ C = 8^\circ C - (-4^\circ C) = 8^\circ C + 4^\circ C = +12^\circ C [$maximum$]$
$d.$ Difference of -$15^\circ C to -8^\circ C = -8^\circ C - (-15^\circ C) = -8^\circ C + 15^\circ C = +7^\circ C.$
$e.$ Difference of $-7^\circ C to 0^\circ C = 0^\circ C - (-7^\circ C) = 0^\circ C + 7^\circ C = +7^\circ C$
Hence, the option $(b)$ shows the maximum rise in temperature.

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MCQ 131 Mark

Number of whole numbers lying between $-5$ and $5$ is:

A
$10$
B
$3$
C
$4$
✓
$5$

Answer

Correct option: D.

$5$

The integers lying between $-5$ and 5 are $-4, -3, -2, -1, 0, 1, 2, 3$ and $4$. Whole numbers are $0, 1, 2, 3$ and $4.$
The number of whole numbers $= 5$ $[$whole numbers are the group of numbers that consist of the numbers i.e. $0, 1, 2, 3, 4, 5,…]$

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MCQ 141 Mark

Amulya and Amar visited two places $A$ and $B$ respectively in Kashmir and recorded the minimum temperatures on a particular day as $-4^\circ C$ at $A$ and $–1^\circ C$ at $B$. Which of the following statement is true?

✓
$A$ is cooler than $B$.
B
$B$ is cooler than $A$.
C
There is a difference of $2^\circ C$ in the temperature.
D
The temperature at $A$ is $4^\circ C$ higher than that at $B$.

Answer

Correct option: A.

$A$ is cooler than $B$.

We know that, if the temperature decreases, the cooling increases.
Given, minimum temperature on a particular at $A = -4^\circ C$ and
minimum temperature on a particular at $B = -1^\circ C$
We know that, $-4^\circ C < -1^\circ C.$
So, $A$ is cooler than $6$.
Hence, option $(a)$ is true.

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MCQ 151 Mark

When a negative integer is subtracted from another negative integer, the sign of the result:

A
Is always negative.
B
Is always positive.
C
Is never negative.
✓
Depends on the numerical value of the integers.

Answer

Correct option: D.

Depends on the numerical value of the integers.

Suppose we take two negative integers $-2$ and $-3$.
We subtract $(-3)$ from $(-2)$ and give a minus sign to get the result. i.e $-2 -(-3) = -2 + 3 = 1.$
Again, we subtract $(-2)$ from $-3$ and give a plus sign to get the result. i.e $-3 - (-2) = -3 + 2 = -1.$
So, the sign of the result depends on the numerical value of the integers..

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MCQ 161 Mark

The integer with negative sign $(-)$ is always less than:

✓
$0$
B
$-3$
C
$-1$
D
$-2$

Answer

Correct option: A.

$0$

We know that, negative integer is always less than $0.$

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MCQ 171 Mark

An integer with positive sign $(+)$ is always greater than:

✓
$0$
B
$1$
C
$4$
D
$3$

Answer

Correct option: A.

$0$

We know that, positive integer is always greater than $0$.

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MCQ 181 Mark

Which of the following fractions is the greatest?

A
$\frac57$
✓
$\frac56$
C
$\frac59$
D
$\frac58$

Answer

Correct option: B.

$\frac56$

In order to find the greatest fraction among the above given fractions, we will convert all the fractions to an equivalent fraction with denominator equal to the $LCM$ of their denominator.
$\begin{array}{c|c} 2&7,6,9,8\\\hline2&7,3,7,4\\\hline2&7,3,9,2\\\hline 3&7,3,9,1\\\hline3&7,1,3,1\\\hline7&7,1,1,1\\\hline&1,1,1,1\end{array}$
So, $LCM$ of denominator i.e. $LCM$ of $7, 6, 9$ and $8 = 2 \times 2 \times 2 \times 3 \times 3 \times 7 = 504$
Now, we converty the givn fraction to equivalent fractions with denominator 504.
$\frac{5\times72}{7\times72}=\frac{360}{504},\frac{5\times84}{6\times84}=\frac{420}{504}$
$\frac{5\times56}{9\times56}=\frac{280}{504},\frac{5\times63}{8\times63}=\frac{315}{504}$
Clearly, $\frac{420}{504},$ i.e. $\frac56$ is greatest.

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MATHS M.C.Q. [1 Marks Each]

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