Sample QuestionsIntegers questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Mark against the correct answer in the following: The sum of two integers is $-25$. If one of them is $30$ then the other is
Answer: C.
View full solution →Mark against the correct answer in the following:
The successor of $-18$ is:
Answer: C.
View full solution →Mark $(\checkmark)$ against the correct answer in the following: The predecessor of $-99$ is:
Answer: B.
View full solution →Mark $(\checkmark)$ against the correct answer in the following:
Additive inverse of $-23$ is:
- A
$\frac{-1}{23}$
- B
$\frac{1}{23}$
- ✓
$23$
- D
$-23$
Answer: C.
View full solution →Mark $(\checkmark)$ against the correct answer in the following:When $34$ is subtracted from $-36$, we get:
Answer: D.
View full solution →Assertion (A): $|8-3|=|8|-|3|$.
Reason (R): To subtract one integer from another, we take the additive inverse of the integer to be subtracted and add it to the other integer.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- ✓
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
- C
Assertion (A) is true but Reason (R) is false.
- D
Assertion (A) is false but Reason (R) is true.
Answer: B.
View full solution →Assertion (A): The sum of $(-24)$ and $(+17)$ is -41 .
Reason (R): To add a positive and a negative integer, we find the difference between their numerical values regardless of their signs and give the sign of the integer with the greater value to it.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
- C
Assertion (A) is true but Reason (R) is false.
- ✓
Assertion (A) is false but Reason (R) is true.
Answer: D.
View full solution →Assertion (A): $7>3$ but $-3>-7$.
Reason (R): The greater the number, the lesser is its opposite.
- ✓
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
- C
Assertion (A) is true but Reason (R) is false.
- D
Assertion (A) is false but Reason (R) is true.
Answer: A.
View full solution →Assertion (A): -3 is larger than -5.
Reason (R): -3 lies to the right of -5 on the number line.
- ✓
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
- C
Assertion (A) is true but Reason (R) is false.
- D
Assertion (A) is false but Reason (R) is true.
Answer: A.
View full solution →For the following statement, write $(T)$ for true and $(F)$ for false: $-10$ is greater than $-6.$
View full solution →Write $'T'$ for true and $'F'$ for false of the following: $|-40| + 40 = 0$
View full solution →Write $(T)$ for true and $(F)$ for false for following statement: $(-7) ÷ (-1) = 7$
View full solution →Which of the following statement are true and which are false? $(-7) - 3 = (-3) - (-7)$
View full solution →Write $'T'$ for true and $'F'$ for false of the following: $-|-15| = -15$
View full solution →Fill in the blank: $(-7) + (-8) =$ ____
View full solution →Fill in the by appropriate symbol $ > $ or $ <: -15$ _____ $13$
View full solution →Fill in the by appropriate symbol $ > $ or $ <: -5$ _____ $-2$
View full solution →Fill in the blank:
$($___$) ÷ (-1) = 73$
View full solution →Fill in the by appropriate symbol $ > $ or $ <:$
$0$ ___$ 7$
View full solution →Write the following integers in the decreasing order: $51, -53, -8, 0, -2$
View full solution →Subtract: $-135$ from $-250$
View full solution →Find the additive inverse of:
$0$
View full solution →Simplify:
$1056 + (-798) + (-38) + 44 + (-1)$
View full solution →Divide: $-147$ by $-21$
View full solution →Simplify:
$(-9) \times 6 + (-9) \times 4$
View full solution →The point $A$ is on a mountain which is $5700$ meters above sea level and the point $B$ is in a mine which is $39600$ meters below sea level. Find the vertical distance between $A$ and $B.$

View full solution →Use the number line and add the following integers:
$8 + (-8)$
View full solution →Use the number line and add the following integers: $(-1) + (-3)$
View full solution →Use the number line and add the following integers: $(-4) + (-7)$
View full solution →A man bought some pencils for $Rs. 30$ and some pens for $Rs. 90$. The next day, he again bought some pencils for $Rs. 25.$ Then he sold all the pencils for $Rs. 20$ and the pens for $Rs. 70$. What was his net gain or loss?
View full solution →Complete the following multiplication table:
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$x$
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$-3$
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$-2$
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$-1$
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$0$
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$1$
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$2$
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$3$
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$-3$
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$-2$
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$-1$
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$0$
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$1$
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$2$
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$3$
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View full solution →Verify the following: $(-13) \times [(-6) + (-19)] = (-13) \times (-6) + (-13) \times (-19)$
View full solution →Verify the following: $18 \times [9 + (-7)] = 18 \times 9 + 18 \times (-7)$
View full solution →A car travelled $60\ km$ to the north of Patna and then $90\ km$ to the south from there. How far from Patna was the car finally?
View full solution →In a quiz contest, each candidate was asked 10 questions. 2 marks were awarded for each correct answer. 1 mark was deducted for each incorrect answer and no marks were given for any question that was not answered. The scores of Ajit, Binoy, Chetna and Dharam were +5, -3, -4 and +8 respectively.
1. Whose score was the least ?
(a) Ajit$\quad$(b) Binoy$\quad$(c) Chetna$\quad$(d) Dharam
2. What is the sum of the scores of all the four candidates ?
(a) +20$\quad$(b) +6$\quad$(c) +10$\quad$(d) 0
3. The sum of the predecessor of the lowest score and the successor of the highest score will be
(a) +4$\quad$(b) +6$\quad$(c) +10$\quad$(d) +16
4. If the scores of all the four candidates are represented on the number line, the score of which candidate will lie to the right of all the other scores ?
(a) Ajit$\quad$(b) Binoy$\quad$(c) Chetna$\quad$(d) Dharam
View full solution →On 14 January 2024, the temperatures of four different cities A, B, C and D were recorded at 10 a.m. These were found to be $-13^{\circ} C ,+24^{\circ} C ,-2^{\circ} C$ and $+6{ }^{\circ} C$ respectively.
1. Which is the coldest city on that day ?
(a) A$\quad$(b) B$\quad$(c) C$\quad$(d) D
2. Which is the hottest city on that day ?
(a) A$\quad$(b) B$\quad$(c) C$\quad$(d) D
3. What is the difference between the temperatures of the hottest and the coldest cities ?
(a) $11^{\circ} C$$\quad$(b)$18^{\circ} C$$\quad$(c) $22^{\circ} C$$\quad$(d) $37^{\circ} C$
4. If the temperature of city A increases by $1^{\circ} C$ in each hour, what will be its temperature at 12 p.m. on the same day ?
(a) $-15^{\circ} C$$\quad$(b)$-11^{\circ} C$$\quad$(c) $-14^{\circ} C$$\quad$(d) $-12^{\circ} C$
View full solution →