Questions · Page 4 of 5

M.C.Q. [1 Marks Each]

MCQ 1511 Mark
Fill in the blank:
How many $INR\ 1$ coins make $INR\ 10$ ______________
  • A
    $20$
  • $10$
  • C
    $13$
  • D
    $14$
Answer
Correct option: B.
$10$
$10 \times 1 = 10$
$\therefore \ 10 \ INR \ 1$ coins make $INR \ 10.$
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MCQ 1521 Mark
Mark against the correct answer in the following:
$(-42) + (-35) = ?$
  • A
    $-7$
  • B
    $7$
  • $-77$
  • D
    None of these.
Answer
Correct option: C.
$-77$

$(-42) + (-35)$
$= -42 - 35$
$= -77$

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MCQ 1531 Mark
Mark against the correct answer in the following:
$4$ more than $-5$ is:
  • A
    $9$
  • B
    $-9$
  • $-1$
  • D
    $1$
Answer
Correct option: C.
$-1$

$4$ more than $-5$ means the following:
$= -5 + 4$
$= -1$

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MCQ 1541 Mark
The sum of the integers from $11$ to $100$ which are not divisible by $3$ or $5$ is
  • A
    $2489$
  • B
    $4735$
  • C
    $2317$
  • $2632$
Answer
Correct option: D.
$2632$
$2632$
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MCQ 1551 Mark
Mark against the correct answer in the following:
$(-37) + 6 = ?$
  • A
    $-43$
  • $-31$
  • C
    $31$
  • D
    None of these.
Answer
Correct option: B.
$-31$

$(-37) + 6$
$= -37 + 6$
$= -31$

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MCQ 1561 Mark
$(-35) + (-32)$ is equal to:
  • A
    $67$
  • $-67$
  • C
    $-3$
  • D
    $3$
Answer
Correct option: B.
$-67$

$(-35) + (-32) = -(35 + 32) = -67$
$$Hence, the correct option is $(b).$

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MCQ 1571 Mark
Rushabh walked $3$ units west. the position of Rushabh is:
  • A
    $+3$
  • $−3$
  • C
    $3$ units South
  • D
    $0$
Answer
Correct option: B.
$−3$

West direction is denoted towards left. Rushabh walked $3$ units left. His positions co-ordinate on number line $= -3$

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MCQ 1581 Mark
If $\displaystyle-\frac{1}{\text{x}}$ is an integer, what are the possible values of $x?$
  • A
    $0$
  • B
    $1$
  • $\pm1$
  • D
    None of these.
Answer
Correct option: C.
$\pm1$

The possible values of $x$ is $\pm1$

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MCQ 1591 Mark
If the sum of two integers is $-26$ and one of them is $14$, then the other integer is:
  • A
    $-12$
  • B
    $12$
  • $-40$
  • D
    $40$
Answer
Correct option: C.
$-40$

Sum of two integers $= -26$
One of the two numbers $= 14$
$\therefore$ second number $= -26 - 14$
$= -(26 + 14)$
$= -40$
Hence, the correct option is $(c).$

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MCQ 1601 Mark
Evaluate $34 + 67 - 104$
  • A
    $101$
  • $-3$
  • C
    $3$
  • D
    $-101$
Answer
Correct option: B.
$-3$

Given that We have to find the value of given expression $34 + 67 - 104$
$= (34 + 67) - 104$
$= 101 - 104$
$= -3$

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MCQ 1611 Mark
Mark against the correct answer in the following:
$5 - (-8) = ?$
  • A
    $3$
  • $13$
  • C
    $-3$
  • D
    None of these.
Answer
Correct option: B.
$13$

$5 - (-8)$
$= 5 + 8$
$= 13$

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MCQ 1621 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 1631 Mark
Encircle the odd one of the following
  • A
    $(-3,3)$
  • B
    $(-5,5)$
  • $(-6,1)$
  • D
    $(-8,8)$
Answer
Correct option: C.
$(-6,1)$
Option $(c)$ is correct.
$(a) -3 + 3 = 0$
$(b) -5 + 5 = 0$
$(c) -6 + 1 = -5$
$(d) -8 + 8 = 0$
By the above calculation, we can see that option c gives $-5$ while other options give $0$. Thus, option cis different from all others.
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MCQ 1641 Mark
Compare $-28$ and $-32$
  • A
    $<$
  • B
    $=$
  • C
    $\neq$
  • $>$
Answer
Correct option: D.
$>$
While comparing negative numbers smaller is greater, greater is smaller
$-28 > -32$
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MCQ 1651 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 1661 Mark
Greater $8 -$ digit number using four digits is:
  • A
    $900, 000, 787$
  • B
    $900, 000, 987$
  • C
    $999, 998, 876$
  • $999, 999, 876$
Answer
Correct option: D.
$999, 999, 876$

Greatest eight digit using $4$ digits only then we will choose largest number $6, 7, 8, 9,$
So greatest one $99, 999, 876.$

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MCQ 1671 Mark
$138 − 234 =?$
  • A
    $60$
  • B
    $372$
  • C
    $96$
  • $-96$
Answer
Correct option: D.
$-96$

Write given integers in addition expression and we get:
$(+138) + (-234)$
Subtract smaller integer $138138$ 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, $138 - 234 = - 96$

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MCQ 1681 Mark
Mark against the correct answer in the following:
$(-6) + 4 - (-3) = ?$
  • A
    $-5$
  • B
    $-1$
  • $1$
  • D
    None of these.
Answer
Correct option: C.
$1$

$(-6) + 4 - (-3)$
$= -6 + 4 + 3$
$= -6 + 7$
$= 1$

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MCQ 1691 Mark
Smallest negative number is:
  • A
    $-1$
  • B
    $-10$
  • C
    $0$
  • None of the above.
Answer
Correct option: D.
None of the above.

We know that we cannot define a largest positive number, similarly the smallest negative number cannot be defined.

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MCQ 1701 Mark
Integer used to represent a withdrawal of $Rs. 200$ is
  • A
    depositing $Rs. 200$
  • B
    $+ Rs. 200$
  • $- Rs. 200$
  • D
    $- 200$
Answer
Correct option: C.
$- Rs. 200$

Withdrawal of $Rs. 200$ means amount $200$ is subtracted from our account.
i.e $Rs. -200$
Option C is correct.

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MCQ 1711 Mark
Which situation is best represented by the integer $-12?$
  • A
    The length of curtains is increased by $12$ inches
  • The price of petrol is reduced by $Rs. 12$
  • C
    The size of picture is enlarged by $12$ percent
  • D
    The temperature rises by $12^\circ C$
Answer
Correct option: B.
The price of petrol is reduced by $Rs. 12$
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 $B$
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MCQ 1721 Mark
Encircle the odd one of the following:
  • A
    $(-3, 3)$
  • B
    $(-5, 5)$
  • $(-6, 1)$
  • D
    $(-8, 8)$
Answer
Correct option: C.
$(-6, 1)$
 
$-3 + 3 = 0$
$-5 + 5 = 0$
$-6 + 1 = -5$
$-8 + 8 = 0$
By the above calculation, we can see that option $c$ gives $-5$ while other options give $0$. Thus,
option cis different from all others.
 
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MCQ 1731 Mark
$(+48) + (-53) =$
  • A
    $+5$
  • $-5$
  • C
    $5$
  • D
    None of these.
Answer
Correct option: B.
$-5$

$(+48) + (-53)$
$= 53 - 48$
$= -5$

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MCQ 1741 Mark
If $x$ is a positive integer, then
  • A
    $x + |x| = 0$
  • $x - |x| = 0$
  • C
    $x + |x| = -2x$
  • D
    $x = -|x|$
Answer
Correct option: B.
$x - |x| = 0$
If $x$ is positive integer, then $|x| = x.$ So,$ x + |x| = x + x = 2x$ and $x - |x| = x - x = 0.$
Hence, the correct option is $(b).$
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MCQ 1751 Mark
Integer used to represent a withdrawal of $Rs. 200$ is:
  • A
    Depositing $Rs. 200$
  • B
    $+Rs. 200$
  • $-Rs. 200$
  • D
    $-200$
Answer
Correct option: C.
$-Rs. 200$
Withdrawal of $Rs. 200$ means amount $200$ is subtracted from our account.
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MCQ 1761 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 1771 Mark
An integer with positive sign $(+)$ is always greater than:
  • $0$
  • B
    $1$
  • C
    $2$
  • D
    $3$
Answer
Correct option: A.
$0$

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

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MCQ 1781 Mark
Mark against the correct answer in the following:
$7 + |-3| = ?$
  • A
    $4$
  • $10$
  • C
    $-10$
  • D
    None of these.
Answer
Correct option: B.
$10$

$7 + |-3|$
$= 7 + (+3) $(The absolute value of $-3$ is $3.)$
$= 7 + 3$
$= 10$

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MCQ 1791 Mark
If $m, n$ are the positive integers $(n > 1)$ such that $m^n$ $= 121$ then value of $(m-1)^n+1$is
  • A
    $12321$
  • B
    $1$
  • $1000$
  • D
    $11$
Answer
Correct option: C.
$1000$
We know that $11^2 = 121$ So $m =11$ and $n=2n=2$ so,
$(m- 1)^n+1$ $=(11- 1)^2+1$$< br >< br >$ $= 10^3$ $< br >< br >$ $=1000$
Answer $(C) 1000$
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MCQ 1801 Mark
Which of the following is not an integer?
  • $\frac{2}{7}$
  • B
    $2 − 0$
  • C
    $-5 \times 9$
  • D
    $-13 + 17$
Answer
Correct option: A.
$\frac{2}{7}$

$\frac{2}{7}$ = $\frac{2}{7}$ which is a rational number.

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MCQ 1811 Mark
Absolute value of $-58$ is:
  • $58$
  • B
    $-58$
  • C
    $0$
  • D
    None of these.
Answer
Correct option: A.
$58$

Absolute value describes the distance of a number on the number line from $00$ without considering which
direction from zero the number lies.
The absolute value of a number is never negative. Absolute value makes numbers positive.

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MCQ 1821 Mark
$(-29) + 5$ is equal to:
  • A
    $24$
  • B
    $34$
  • C
    $-34$
  • $-24$
Answer
Correct option: D.
$-24$
$(-29) + 5 = -(29 - 5) = -24$
Thus, the correct option is $(d).$
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MCQ 1831 Mark
Temperature at the foot of a mountainis $+5^\circ C.$ It fell down by $10^\circ C$ at the top of the mountain. The temperature recorded on the top is
  • A
    $+15^\circ C$
  • B
    $-15^\circ C$
  • C
    $+5^\circ C$
  • $-5^\circ C$
Answer
Correct option: D.
$-5^\circ C$
$-5^\circ C$
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MCQ 1851 Mark
Mark against the correct answer in the following:
$2$ less than $-3$ is:
  • A
    $-1$
  • B
    $1$
  • $-5$
  • D
    $5$
Answer
Correct option: C.
$-5$

$2$ less than $-3$ means the following:$= -3 - 2$
$= -5$

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MCQ 1861 Mark
Mark against the correct answer in the following:
On subtracting $8$ from $-4$, we get:
  • A
    $4$
  • B
    $12$
  • $-12$
  • D
    None of these.
Answer
Correct option: C.
$-12$

$= -4 - 8$
$= -12$

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MCQ 1871 Mark
Let $n$ be an integer number. Prove that the equation has infinitely $x^2 + y^2 = n + z^2$ many integer solutions.
  • $z = x − 1$
  • B
    $z = x + 1$
  • C
    $z = x × 1$
  • D
    $z = x /1$
Answer
Correct option: A.
$z = x − 1$
The equation is equivalent to $(x - z) (x + z) + y^2= n.$ If we set $x - z =$ then we obtain $2x - 1 + y^2 = n$ and $\text{x} = \frac{\text{n + 1 - y}^2}{2}$ . Now, it suffices tso take $y = n + m,$ where m is an odd integer to insure that $x$ is an integer as well. Indeed, if $m = 1$ kt $1$ then,
$\frac{\text{n + 1 - y}^2}{2} = \frac{\text{n+1-(n+2k+1)}^2}{2}=-\frac{\text{n (n + 1)}}{2}\\-2\text{nk}-2\text{nk}^2-2\text{k,}$
it is also an integer number. obviously an integer. Since $z = x - 1 z = x - 1$
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MCQ 1881 Mark
Mark against the correct answer in the following:
On subtracting $-5$ from $10$, we get:
  • A
    $5$
  • B
    $-15$
  • $15$
  • D
    None of these.
Answer
Correct option: C.
$15$

We have:$10 - (-5)$
$= 10 + 5$
$= 15$

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MCQ 1891 Mark
The greatest negative integer
  • A
    $-100$
  • B
    Does not Exists
  • $-1$
  • D
    $-9$
Answer
Correct option: C.
$-1$

$-1$ is greatest negative integer.

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MCQ 1901 Mark
If the product of two integers is $72$ and one of them is $− 9$, then the other integers is:
  • $-8$
  • B
    $8$
  • C
    $81$
  • D
    $63$
Answer
Correct option: A.
$-8$
Product of integers $= 72$
One of the two integers $= -9$
So, the other integer is $\frac{72}{(-9)}=-8$
Hence, the option is $(a).$
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MCQ 1911 Mark
Mark against the correct answer in the following:
The additive inverse of $-5$ is:
  • $5$
  • B
    $0$
  • C
    $-4$
  • D
    $-6$
Answer
Correct option: A.
$5$

If we add the additive inverse of a number to the number, we get $0.$
$-5 + 5 = 0$

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MCQ 1921 Mark
Find:- $16 + 22 - 16 + 22$
  • A
    $-6$
  • $6$
  • C
    $5$
  • D
    $-5$
Answer
Correct option: B.
$6$

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, $-16 + 22 = 6$

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M.C.Q. [1 Marks Each] - Page 4 - MATHS STD 6 Questions - Vidyadip