MCQ 1011 Mark
$-34-(-56) - (-67) = ?$
AnswerGiven that We have to find the value of given expression $-34-(-56) - (-67)$
we know that $(−) \times (−) = +$
$=-32+5+67$
$=32+67$
$= 89$
So option $C$ is correct
View full question & answer→MCQ 1021 Mark
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
- A
$+15^\circ C$
- B
$-15^\circ C$
- C
$+5^\circ C$
- ✓
$-5^\circ C$
AnswerCorrect option: D. $-5^\circ C$
$−5^\circ C$
$+5^\circ C +(-10^\circ C) = -5^\circ C$
View full question & answer→MCQ 1031 Mark
Mark against the correct answer in the following:
$2$ less than $-7$ is:
Answer$2$ less than $-7$ means the following:$= -7 - 2$
$= -9$
View full question & answer→MCQ 1041 Mark
Mark against the correct answer in the following:
On subtracting $-8$ from $0$, we get:
Answer$0 - (-8)$
$= 0 + 8$
$= 8$
View full question & answer→MCQ 1051 Mark
Mark $(\checkmark)$ against the correct answer in the following:
The integer which is $5$ more that $(-7)$ is:
Answer$5$ more than $(-7)$ means $5$ added to $(-7)$
$5 + (-7)$
$= 5 - 7$
$= -2$
View full question & answer→MCQ 1061 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 1071 Mark
If $-\frac{1}{\text{x}}$ is an integer, what are the possible values of $x?$
AnswerCorrect option: C. $\pm1$
the possible values of $x$ is $\pm1$
View full question & answer→MCQ 1081 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 1091 Mark
If $x$ and $y$ are negative, then which of the following statements is/are always true?
I. $x + y$ is positive $II. xy$ is positive $III. x y$ is positive.
- A
$I$ only
- ✓
$II$ only
- C
$III$ only
- D
$I$ and $III$ only
AnswerCorrect option: B. $II$ only
As negative quantity multiplied by negative quantity yeild a positive quantity.
So option $2$ is correct.There is some sign is missing in option $3.$
View full question & answer→MCQ 1101 Mark
$(-5) + 6 = ?$
- A
$(-1)$
- ✓
$11$
- C
$11$
- D
$(-11)$
AnswerIn the given equation $5$ and $6$ are added $= -5 + 6 = 11$
View full question & answer→MCQ 1111 Mark
$(-46) + (+15)=$
AnswerOne negative and one positive number are added by doing subtraction of digits and keeping the bigger addend sign to the result.
$(-46) + (+15) = 46 - 15 = -31$
View full question & answer→MCQ 1121 Mark
Subtract $- 28$ from $- 12$
Answer$-12 - (-28) = (-12) + (+28) =+16$
View full question & answer→MCQ 1131 Mark
Mark against the correct answer in the following:
The predecessor of $-16$ is:
AnswerTo find the predecessor of a number, we move from the right to the left of a number line.
View full question & answer→MCQ 1141 Mark
A number which is a factor of every number is ____.
Answer$1$ is the smallest factor of a multiple and the greatest factor of a multiple is the multiple it self. So, $1$ is a
factor of every multiple.
View full question & answer→MCQ 1151 Mark
Subtract $- 30$ from $- 10$
Answer$-10 - (-30) = (-10) + (+30) = (+20)$
View full question & answer→MCQ 1161 Mark
Mark $(\checkmark)$ against the correct answer in the following:
What should be added to $16$ to get $(-31)?$
AnswerLet the number to be added to $16$ be $x$
$x + 16 = (-31)$
$\Rightarrow x = (-31) - 16$
$\Rightarrow x = -47$
View full question & answer→MCQ 1171 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 1181 Mark
Mark against the correct answer in the following:
$6 - (-4) = ?$
Answer$6 - (-4)$
$= 6 + 4$
$= 10$
View full question & answer→MCQ 1191 Mark
The successor of lowest positive integer is:
AnswerSince the Lowest positive integer is $1$. Successor of lowest positive integer will be $2$ as $2$ is the next positive integer number after $1.$
View full question & answer→MCQ 1201 Mark
Mark against the correct answer in the following:
The sum of two integers is $20$. If one of them is $-5$ then the other is:
AnswerLet x be the other integer$x + (-5) = 20$
$x - 5 = 20$
$x = 25$
View full question & answer→MCQ 1211 Mark
Evaluate $34 + 67 - 104$
AnswerGiven that We have to find the value of given expression$34 + 67 - 104$
$= (34 + 67) - 104$
$= 101 - 104$
View full question & answer→MCQ 1221 Mark
Addend $+$ Addend $=..........$
Answer$-$ Is used for difference× is used for product $\div$ is used for quotient and+Is used for the sum of $2$ numbers
Any of the numbers that are added together.
Example: In $8 + 3 = 11$, the $8$ and the $3$ are addends.
So the given sign being $+$ the correct answer is option $C.$
View full question & answer→MCQ 1231 Mark
The sum of four consecutive integers is $46$ then the four integers are:
- A
$11, 12, 13, 14$
- ✓
$10, 11, 12, 13$
- C
$6, 7, 8, 9$
- D
$20, 21, 22, 23$
AnswerCorrect option: B. $10, 11, 12, 13$
$10, 11, 12, 13$
View full question & answer→MCQ 1241 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 1251 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 $0^\circ C.$
AnswerCorrect 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.
$a.\ $Difference of $0^\circ C to 10^\circ C = 10^\circ C - 0^\circ C = +10^\circ C.$
$b.\ $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]
$c.\ $Difference of $-15^\circ C to -8^\circ C = -8^\circ C - (-15^\circ C) = -8^\circ C + 15^\circ C = +7^\circ C.$
$d.\ $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.
View full question & answer→MCQ 1261 Mark
Arya climbed 10 steps up. Position of Arya can be represented by:
AnswerArya climbed $10$ steps up. Ground being the reference level, upwards direction $= +$ve and downwards direction $= −ve.$
$\Rightarrow $ Position of Arya is $+10$
View full question & answer→MCQ 1271 Mark
If nn is a positive integer not a multiple of $3$, then $1+\omega^\text{n}+\omega^{2\text{n}}=$
Answer$1+\omega^\text{n}+\omega^{2\text{n}}$ If n is not a multiple of $31+\omega^\text{n}+\omega^{2\text{n}}=0$
$\because\omega^3=1$ and according to cube-root unity.
$1+\omega^2+\omega=0$
View full question & answer→MCQ 1281 Mark
Difference of $23$ and $17.081$ is _____
- A
$0.5919$
- B
$59.19$
- C
$591.9$
- ✓
$5.919$
AnswerCorrect option: D. $5.919$
To subtract a whole number from a decimal we extend the whole number to the decimal points of the decimal number.
In our question,$23.000-17.081= 5.919$
So option $D$ is the correct answer.
View full question & answer→MCQ 1291 Mark
The simplified form of the expression $[15 − \{12 − (7 − \overline{6 − 2)}\}]$ will be
- ✓
$6$
- B
$3 + 3$
- C
$8$
- D
$2 \times 4$
Answer$[15 − \{12 − (7 − \overline{6 − 2)}\}]$
$=[15−{12−(7−4)}]$
$=[15−{12−(7−4)}]$
$= 15-9$
$=6$
Option $A$ is correct.
View full question & answer→MCQ 1301 Mark
$-67 - (-76) =$
AnswerGiven that We have to find the value of given expression
$- 67 - (-76)$
we know that $= + (−) × (−) = +$
and $= - (+) × (−) = −$
$= - 67 + 76=$
$=9$
So option $D$ is correct
View full question & answer→MCQ 1311 Mark
Mark against the correct answer in the following:
$-12 - (-5) = ?$
Answer$-12 - (-5)$
$= -12 + 5$
$= -7$
View full question & answer→MCQ 1321 Mark
Mark against the correct answer in the following:
$8 + (-8) = ?$
Answer$8 + (-8)$
$= 8 - 8$
$= 0$
View full question & answer→MCQ 1331 Mark
Number of whole numbers lying between $-5$ and $5$ is:
AnswerThe 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,…]$
View full question & answer→MCQ 1341 Mark
Mark against the correct answer in the following:
$49 + (-27) = ?$
Answer$49 + (-27)$
$= 49 - 27$
$= 22$
View full question & answer→MCQ 1351 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 1361 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 1371 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 1381 Mark
Mark against the correct answer in the following:
$(-6) \times 9 = ?$
AnswerWe have:$(-6) \times 9$
$= -(6 \times 9)$
$= -54$
View full question & answer→MCQ 1391 Mark
Opposite of earning $Rs. 100$
- A
$+Rs. 100$
- B
Profit of $Rs. 100$
- ✓
Spending $Rs. 100$
- D
AnswerCorrect option: C. Spending $Rs. 100$
Earning of $Rs. 100$ means we got $Rs. 100.$
Therefore, opposite of earning is spending means we give $Rs. 100$
View full question & answer→MCQ 1401 Mark
Addition of one negative and one positive integer is:
- A
- B
- ✓
Same as the sign of larger number
- D
Same as the sign of smaller number
AnswerCorrect option: C. Same as the sign of larger number
If the magnitude of positive number is greater than the negative number then there will be some positive remainder after adding the negative number.Hence,it will be the sign of a large number.
View full question & answer→MCQ 1411 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 1421 Mark
Opposite of profit of $Rs. 250.$
- A
Loss of $Rs. 150$
- ✓
Loss of $Rs. 250$
- C
Profit of $Rs. 100$
- D
AnswerCorrect option: B. Loss of $Rs. 250$
Loss of $Rs. 250.$
View full question & answer→MCQ 1431 Mark
Solve:$(-46) + (+15) =$
AnswerOne negative and one positive number are added by doing subtraction of digits and keeping the bigger addend sign to the result
$(-46) + (+15) = 46 - 15 = -31$
Bigger addend is $46$ with -− sign
$\therefore $ - sign is given for the result
View full question & answer→MCQ 1441 Mark
Opposite of rise in temperature by $5^\circ $
AnswerCorrect option: C. Fall in temperature by $5^\circ $
Opposite of rise in temperature by $5^\circ $ is fallin temperature by $5^\circ $
View full question & answer→MCQ 1451 Mark
In the first half of a trivia game, Mark scored $200$ points. Then, during the second half, he scored $-100$ points. What was his final score?
- ✓
$100$
- B
$300$
- C
$-100$
- D
$-200$
AnswerAt the end of the first half of the game he has $200$ pointsThe points he scored in the second half$=-100$ pointsNumber of points left with Mark at the end of the game$=200 + (-100) = 100$point
View full question & answer→MCQ 1461 Mark
Prove that the system of equations
$\begin{cases}\text{x}^{2} + 6\text{y}^{2}-\text{z}^{2} & \text{amp};\\6\text{x}^{2} + \text{y}^{2} - \text{t}^{2} & \text{amp}\end{cases}$
has no positive integer solutions.
- ✓
It has no positive integer solutions.
- B
It has positive integer solution.
- C
The equations do not have any solutions.
- D
The equations has negative integer solution.
AnswerCorrect option: A. It has no positive integer solutions.
we can assume that $\operatorname{gcd}( x , y , z , t )=1$.
Adding up the equations yields $7\left( x ^2+ y ^2\right)= z ^2+ t ^2$.
The square residues modulo $7$ are $0,1,2$, and $4 .$
It is not difficult to see that the only pair of residues which add up to o modulo $7$ is $(o, o)$, hence $z$ and $t$ are divisible by $7$ .
Setting $z=7 z_1$ and $t=7 t_1$ yields $7\left( x ^2+ y ^2\right)=49\left( z _1^2+ t _1^2\right)$ or $x ^2+ y ^2=7\left( z _1^2+ t _1^2\right)$
It follows that $x$ and $y$ are also divisible by $7 .$
Contradicting the fact that $\operatorname{gcd}( x , y , z , t )=1$.
View full question & answer→MCQ 1471 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 1481 Mark
Which of the following is not an integer?
- ✓
$2 ÷ 7$
- B
$2-0$
- C
$-5 \times 9$
- D
$-13+17$
AnswerCorrect option: A. $2 ÷ 7$
$2\div7 =\frac{7}{2}$ which is a rational number
View full question & answer→MCQ 1491 Mark
Which of the following is an example of integer.
- ✓
$-5$
- B
$\dfrac{5}{2}$
- C
$1.4$
- D
$\dfrac{-7}{2}$
Answer$−5$ is an integer number.
View full question & answer→MCQ 1501 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→