MCQ 11 Mark
Mark the correct aftemative of the following: The successor of $-79$ is:
AnswerIf $a$ is an integer, then its successor is $a + 1.$
So Successor of $-79 $
$= -79 + 1$
$= -(79 - 1)$
$= -78$
Hence, the correct option is $(b).$
View full question & answer→MCQ 21 Mark
The largest number that divides $64$ and $72$ and leave the remainders $12$ and $7$ respectively, is :
AnswerSubtract $12$ and $7$ from $64$ and $72$ respectively.
$64 - 12 = 52$
$72 - 7 = 65$
The required number is the $\text{HCF}$ of $52$ and $65$.
Now,
$52 = 4 \times 13$
$65 = 5 \times 13$
$\therefore \text{HCF} \ 52$ and $65 = 13$
Therefore, the largest number that divides $64$ and $72$ and leave the remainder $12$ and $7$ respectively, is $13$.
Hence, the correct option is $(b)$.
View full question & answer→MCQ 31 Mark
$86 + (-28) + 12 + (-34)$ is equal to:
Answer$86 + (-28) + 12 + (-34) $
$= 86 + (-28) - (34 - 12)$
$= 86 + (-28) - 22$
$= (86 - 28) - (34 - 12)$
$= 58 - 22$
$= 36$
Hence, the correct option is $(c).$
View full question & answer→MCQ 41 Mark
The sum of two integers is $-35$. If one of them is $40,$ then the other is:
AnswerSum of integers $= -35$
One of the numbers $= 40$
Other number $= (-35) - (40)$
$= -35 - 40$
$= -(35 + 40)$
$= -75$
Therefore, the other number is $-75$
Hence, the correct option is $(b).$
View full question & answer→MCQ 51 Mark
Which of the following statement is true?
- A
$-7 > -5$
- ✓
$-7 < -5$
- C
$(-7) + (-5) > 0$
- D
$(-7) - (-5) > 0$
AnswerCorrect option: B. $-7 < -5$
On the number line, $-7$ is to the left of $-5,$ so $-7 < -5.$
Hence, the correct option is $(b).$
View full question & answer→MCQ 61 Mark
$|-|-7| - 3|$ is equal to:
Answer$|-|-7| - 3| $
$= |-7 - 3| (\because |-7| = 7) $
$= |-10|$
$= 10 (\because |-10| = 10)$
Hence, the correct option is $(c).$
View full question & answer→MCQ 71 Mark
$(-12) \times (-9) - 6 \times (-8)$ is equal to:
Answer$(-12) \times (-9) - 6 \times (-8) $
$= (12 \times 9) - 6 \times (-8)$
$= 108 - 6 \times (-8)$
$= 108 + 6 \times 8$
$= 108 + 48$
$= 156$
Hence, the correct option is $(a).$
View full question & answer→MCQ 81 Mark
Which of the following pairs of integers have $5$ as a difference?
- A
$10, 5$
- B
$-10, -5$
- C
$15, 20$
- ✓
both $(a)$ and $(b)$
AnswerCorrect option: D. both $(a)$ and $(b)$
$10 - 5 = 5$
$(-5) - (-10) $
$= -5 + 10 = 5$
$15 - (-20) $
$= 15 + 20 = 35$
Hence, the correct option is $(d)$.
View full question & answer→MCQ 91 Mark
On subtracting $- 7$ from $- 14,$ we get:
AnswerRequired number $= -14 - (-7)$
$= -14 + 7$
$= -(14 - 7)$
$= -7$
Hence, the correct option is $(b).$
View full question & answer→MCQ 101 Mark
The sum of two integers is $− 23$. If one of them is $18,$ then the other is:
AnswerSum of integers $= -23$
One of the numbers $= 18$
Other number $= (-23) - (18)$
$= -23 - 18$
$= -(23 + 18)$
$= -41$
Therefore, the other number is $− 41$.
Hence, the correct option is $(d)$.
View full question & answer→MCQ 111 Mark
Mark the correct aftemative of the following : The predecessor of $-99$ is:
AnswerCorrect option: B. $-100$
If a is an integer, then its predecessor is $a - 1$.
So Predecessor of $-99 =-99 - 1$
$= -(99 + 1)$
$= -100$
Hence, the correct option is $(b)$.
View full question & answer→MCQ 121 Mark
Mark the correct aftemative of the following: The additive identity element in the set of integers is:
AnswerIf $a$ is an integer, then $a + 0 = 0 + a = a$
Here, $0$ is the additive identity element in the set of integers.
Hence, the correct option is $(c).$
View full question & answer→MCQ 131 Mark
$(-2) \times (-3) \times 6 \times (-1)$ is equal to:
Answer$(-2) \times (-3) \times 6 \times (-1) $
$= (2 \times 3) \times 6 \times (-1)$
$= 6 \times 6 \times (-1)$
$= 36 \times (-1)$
$= -(36 \times 1)$
$= -36$
Hence, the correct option is $(b).$
View full question & answer→MCQ 141 Mark
Mark the correct aftemative of the following: If an integer $a$ is greater than $7,$ then $|7 - a| =$
- ✓
$7 - a$
- B
$a - 7$
- C
$7 + a$
- D
$-7 - a$
AnswerCorrect option: A. $7 - a$
If $x$ is negative integer, then $|x| = -x$
Here, $a$ is greater than $7,$ so $7 - a$ is negative.
Therefore, $|7 - a| = -(7 - a) = -7 + a = a - 7$
Hence, the correct option is $(a).$
View full question & answer→MCQ 151 Mark
Mark the correct aftemative of the following: If $\Delta$ is an operation on integers such that $\text{a }\Delta\text{ b}=\text{a}-\text{b}-2$, for all integers $a, b.$ Then, $7\ \Delta\ (-4)=$
AnswerHere, the operation $\Delta$ is defined as $\text{a }\Delta\text{ b}=\text{a}-\text{b}-2$.
$7\ \Delta (-4)$
$=7-(-4)-2$
$=7+4-2$
$=11-2$
$=9$
Hence, the correct option is $(c).$
View full question & answer→MCQ 161 Mark
Mark the correct aftemative of the following: Which of the following pairs of integers have $9$ as difference?
- A
$19, 10$
- B
$-19, -10$
- C
$19, -10$
- ✓
$(a)$ and $(b)$ both
AnswerCorrect option: D. $(a)$ and $(b)$ both
$(A). 19 - 10 = 9$
$(B).-10 - (-19) = -10 + 19 = 19 - 10 = 9$
$(C). 19 - (-10) = 19 + 10 = 29$
Thus, $(a)$ and $(b)$ both are correct.
Hence, the correct option is $(d).$
View full question & answer→MCQ 171 Mark
$5$ less than $-2$ is:
AnswerHere, $5$ less than $-2 = (-2) - (5) = -2 - 5 = -7.$
Hence, the correct option is $(c).$
View full question & answer→MCQ 181 Mark
Mark the correct aftemative of the following: The additive inverse of $17$ is:
- ✓
$-17$
- B
$17$
- C
$\frac{1}{17}$
- D
$-\frac{1}{17}$
AnswerIf $a$ is an integer, then its additive inverse is $- a.$
So, additive inverse of $17 = -17$
Hence, the correct option is $(a).$
View full question & answer→MCQ 191 Mark
Mark the correct aftemative of the following: What should be added to $18$ to get $-34?$
AnswerThe required number is $(-34) - 18$
Now,
$=(-34) - 18 $
$= -(34 + 18)$
$= -52$
Hence, the correct option is $(b).$
View full question & answer→MCQ 201 Mark
$(-16) + 14 - (-13)$ is equal to:
Answer$(-16) + 14 - (-13) $
$= (-16) + 14 + 13 ($Additive inverse of $-13$ is $13)$
$= (-16) + 27$
$= 27 - 16$
$= 11$
Hence, the correct option is $(c).$
View full question & answer→MCQ 211 Mark
Mark the correct aftemative of the following: The integer $8$ more than $-12$ is:
AnswerThe integer $8$ more than $- 12$ is $(- 12) + 8$
Now,
$(-12) + 8 $
$= -(12 - 8)$
$= -4$
Hence, the correct option is $(b).$
View full question & answer→MCQ 221 Mark
$9 + |-4|$ is equal to:
AnswerHere, $|-4| = 4$
Therefore, $9 + |-4| = 9 + 4 = 13$
Hence, the correct option is $(c).$
View full question & answer→MCQ 231 Mark
If $x$ is greater than $2,$ then $|2 - x| =$
- A
$2 - x$
- ✓
$x - 2$
- C
$2 + x$
- D
$-x - 2$
AnswerCorrect option: B. $x - 2$
If $a$ is negative integer, then $|a| = -a.$
Here, $x$ is greater than $2.$
So, $2 - x$ is negative.
Therefore, $|2 - x| = -(2 - x) = -2 + x = x - 2.$
Hence, the correct option is $(b).$
View full question & answer→MCQ 241 Mark
On subtracting $- 7$ from $- 14,$ we get:
AnswerRequired number $= -14 - (-7)$
$= -14 + 7$
$= -(14 - 7)$
$= -7$
Hence, the correct option is $(b).$
View full question & answer→MCQ 251 Mark
The predecessor of $-14$ is:
AnswerIf $a$ is an integer, then its predecessor is $a - 1.$
So predecessor $-14 = -14 - 1 = -15$
Hence, the correct option is $(a).$
View full question & answer→MCQ 261 Mark
The successor of $-22$ is:
AnswerIf $a$ is an integer, then its successor is $a + 1.$
So, successor of $-22 = -22 + 1 = -(22 - 1) = -21$
Hence, the correct option is $(b).$
View full question & answer→MCQ 271 Mark
On subtracting $-5$ from $0,$ we get:
AnswerHere, $0 - (-5) = 0 + 5 = 5$
Therefore, on subtracting $-5$ from $0,$ we get $5$
Hence, the correct option is $(b).$
View full question & answer→MCQ 281 Mark
If $x$ is a negative integer, then
- ✓
$x + |x| = 0$
- B
$x - |x| = 0$
- C
$x + |x| = 2x$
- D
$x -|x| = -2x$
AnswerCorrect option: A. $x + |x| = 0$
If $x$ is negative integer, then $|x| = -x.$ So
$x + |x| = x - x = 0$
$x - |x| = x - (-x) = x + x = 2x$
Hence, the correct option is $(a).$
View full question & answer→MCQ 291 Mark
Mark the correct aftemative of the following: When $47$ is subtracted from $-23,$ we get?
Answer$(-23) - (47) $
$= -23 - 47$
$= -(23 + 47)$
$= -70$
Thus, when $47$ is subtracted from $-23,$ we get $-70.$
Hence, the correct option is $(d).$
View full question & answer→MCQ 301 Mark
$(-35) + (-32)$ is equal to:
Answer$(-35) + (-32) $
$= -(35 + 32) $
$= -67$
Hence, the correct option is $(b).$
View full question & answer→MCQ 311 Mark
If the sum of two integers is $-26$ and one of them is $14,$ then the other integer is:
AnswerSum of two integers $= -26$
One of the two numbers $= 14$
$\therefore$ second number $= -26 - 14$
$= -(26 + 14)$
$= -40$
Hence, the correct option is $(c).$
View full question & answer→MCQ 321 Mark
If $x$ is a positive integer, then
- A
$x + |x| = 0$
- ✓
$x - |x| = 0$
- C
$x + |x| = -2x$
- D
$x = -|x|$
AnswerCorrect 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 $(b).$
View full question & answer→MCQ 331 Mark
$(-29) + 5$ is equal to:
Answer$(-29) + 5 = -(29 - 5) = -24$
Thus, the correct option is $(d).$
View full question & answer→MCQ 341 Mark
If the product of two integers is $72$ and one of them is $- 9,$ then the other integers is:
AnswerProduct of integers $= 72$
One of the two integers $= -9$
So, the other integer is $\frac{72}{(-9)}=-8$
Hence, the option is $(a).$
View full question & answer→