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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 251. |
Identify the laws in the statements : – 3 + 0 = 0 + (- 3) = – 3 |
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Answer» a + 0 = 0 + a = a Additive identity property - 3 = 0 – 3 = -3 -3 = – 3 = – 3. |
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| 252. |
A profit of ₹ 1000 is represented as …………….. |
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Answer» Correct Answer is +1000 |
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| 253. |
Write the suitable numbers in the blanks by using appropriate law.– 3 + ________= – 3 |
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Answer» a + 0 = a – 3 + 0 = – 3 |
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| 254. |
Sum of two negative numbers is always ………………. |
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Answer» Correct Answer is Negative |
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| 255. |
A deposit of rupees of ₹3000 in bank is represented as ………………. with appropriate sign. |
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Answer» Correct Answer is + 3000 |
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| 256. |
The biggest of the numbers 5, -6, 3, -82, 35 is ………………. |
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Answer» Correct Answer is 35 |
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| 257. |
Using number line, how do you compare (a) two negative integers? (b) two positive integers? (c) one positive and one negative integer? |
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Answer» (a), (b) and (c). The number on the right is greater. |
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| 258. |
The statement “When an integer is added to itself, the sum is greater than the integer” is (A) always true (B) never true (C) true only when the integer is positive (D) true for non-negative integers |
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Answer» (C) true only when the integer is positive. |
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| 259. |
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) (B) (–3, –5) (C) (–5, –3) (D) (–6, 0) |
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Answer» The correct option is (B) (-3, -5). |
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| 260. |
The temperature in Churu is measured in °C at different time and represented o number line(i) The temperature of Churu on following date from above number line :(a) 26 January ………..(b) 25 December ……….(c) 25 February ……….(d) 25 March …………(ii) What is the difference in temperature between the hottest and the coldest day?(iii) The temperature of 26 January is how much less than the temperature of 25 February?(iv) Can we say that sum of temperature of 25 December and 25 february is greater than the temperature of 26 jan? |
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Answer» (i) Temperature of Churu on number line: (a) -11°C on 26 January (ii) Temperature of hottest day = 14°C Temperature of coldest day = (-11°C) Difference in temperature = 14°C – (-11°C) = 14°C + 11°C = 25°C (iii) Temperature of 26 January = -11°C Temperature of 25 February = 4°C ∴ Difference in temperature = -11°C – 4°C = – 15°C (iv) Temperature of 25 December = -6°C Temperature of 25 February = 4°C ∴ Sum of Temperature = -6°C + 4°C = – 2°C Temperature of 26 January = -11 °C, So the sum of the temperature of 25 December and 25 February is greater than the temperature of 26 January. |
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| 261. |
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 (D) depends on the numerical value of the integers |
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Answer» (D) depends on the numerical value of the integers. |
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| 262. |
Sheela deposit ₹5000 in post office and withdraws ₹3700 after one month. If the amount withdrawn is represented in the form of negative number then how will we represent the deposited amount? What is the amount left in the account after withdrawal? |
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Answer» The deposited amount will be shown by a positive number. Amount remaining after withdrawal = (+ 5000) + (- 3700 ) = ₹(5000 – 3700) = ₹1300 (Positive) |
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| 263. |
Using number line, how do you compare(a) two negative integers?(b) two positive integers?(c) one positive and one negative integer? |
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Answer» Since, the integer lying on right is greater than the integer lying on left. ∴ In all of the given cases (a), (b) and (c), we can compare by using the number line by observing which one of the given integers lie on the right or left. |
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| 264. |
What is the value of – 1 – 2 – 3 – 4 (- 16) = ………………? A) -105 B) – 144 C) 136 D) 58 |
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Answer» Correct option is D) 58 -1 -2 -3 -4 (-16) = -6 +64 = 58 |
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| 265. |
What is the value of 15 × (- 25) × (- 4) × (- 10) = …………..? A) – 15000 B) 15000 C) 14000D) – 14000 |
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Answer» Correct option is A) – 15000 15 x (-25) x (-4) x (-10) = 75 x 20 x -10 = -75 x 200 = -15000 Correct option is A) – 15000 |
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| 266. |
Kalyan has rupees of largest number of 3 digits. If he buys some things for rupees of smallest number of 3 – digits, then the money with Kalyan is? A) ₹ 900 B) ₹ 899 C) ₹ 990 D) ₹ 890 |
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Answer» Correct option is (B) ₹ 899 Kalyan has rupees = Rs. 999 Kalyan spent money on buying = Rs. 100 \(\therefore\) Money which left with Kalyan = Rs. (999 - 100) = Rs. 899 Correct option is B) ₹ 899 |
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| 267. |
The digits between – 3 and 2 A) -2, 1, 0 B) -2, 1, 2 C) – 2, – 1, 1 D) -2, -1, 0, 1 |
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Answer» D) -2, -1, 0, 1 |
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| 268. |
The value of 1 – (-1) + (-2) is ……………… A) 4 B) 3 C) -2D) 0 |
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Answer» Correct option is D) 0 zero is the ans |
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| 269. |
State whether the statements are True or False.Sum of two negative integers always gives a number smaller than both the integers. |
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Answer» True E.g.: -4 + (-5) = -9 Now, -4 > -9 and -5 > -9 |
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| 270. |
Which of the following shows the maximum rise in temperature?(A) 0°C to 10°C (B) –4°C to 8°C(C) –15°C to –8°C (D) –7°C to 0°C |
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Answer» (B) –4°C to 8°C In above temperature, has more rise in temperature. The difference between two temperatures = 8 – (-4) = 8 + 4 = 12 oC |
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| 271. |
Answer the following questions from the number line given below(i) Which integer is greater : G or K ? Why?(ii) Find the integer that represents C.(iii) How many integers are there between G and H?(iv) Find the pairs of letters which are opposite of a number.(v) Say True or False: 6 units to the left of D is -6. |
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Answer» (i) K is greater. K represents -1 and G represents -3. Because it is to the right of G in the negative side of the number line. (ii) C represents -4 (iii) G represents -3 and H represents 4. ∴ -2, -1, 0, 1, 2, 3 are the 6 numbers between G and H. (iv) (C, H) and (E, J) are opposite pairs. (v) False. 6 units to the left of D is 0. Because D represents +6 on the number line. |
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| 272. |
The numbers which are less than zero are called ……………. |
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Answer» Negative numbers |
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| 273. |
Match the following:1) Natural numbersa) W2) Whole numbersb) Z+3) Integersc) N4) Positive integersd) Z-5) Negative integerse) Z |
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Answer» 1) Natural numbers – c) N 2) Whole numbers – a) W 3) Integers – e) Z 4) Positive integers – b) Z+ 5) Negative integers – d) Z- |
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| 274. |
Every integer can be represented on a number line ………….. or ……………. |
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Answer» horizontally (or) vertically |
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| 275. |
On the number line, the value of a number increases when we move to ……………… |
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Answer» Correct Answer is right |
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| 276. |
The positive numbers, zero and negative numbers together can form ………… |
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Answer» Correct Answer is Integers |
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| 277. |
The letter Z first used by the people to represent integers is ……………… |
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Answer» Correct Answer is Germans |
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| 278. |
The meaning of German word Zehlen means ……………… |
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Answer» Number (Integers) |
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| 279. |
Which is the smelliest of these numbers -11, -9, -7, -4? A) -11 B) -7 C) -9D) -4 |
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Answer» Correct option is A) -11 |
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| 280. |
-1, -2, -3, -4,…….. are called ………….. |
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Answer» Negative integers |
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| 281. |
For any integer a, -(-a) = ……………….. A) a B) -a C) 2a D) 0 |
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Answer» Correct option is A) a |
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| 282. |
Sum of two positive integers is ………………. A) Negative B) Positive C) Both D) None |
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Answer» Correct option is B) Positive |
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| 283. |
Write any five positive integers. |
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Answer» 1, 2, 3, 4, 5, 6, 7, |
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| 284. |
Encircle the odd one of the following(a) (–1) × (–1) (b) (–1) × (–1) × (–1)(c) (–1) × (–1) × (–1) × (–1) (d) (–1) × (–1) × (–1) × (–1) × (–1) × (–1) |
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Answer» (b) (–1) × (–1) × (–1) Since, (–1) × (–1) = 1 (–1) × (–1) × (–1) × (–1) = 1 (–1) × (–1) × (–1) × (–1) × (–1) × (–1) = 1 But, (–1) × (–1) × (–1) = -1 |
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| 285. |
Fill in the blanks to make the statement true. ________ ÷ (–10) = 0 |
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Answer» 0: 0 ÷ (–10) = 0/(-10) = 0 |
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| 286. |
Positive integers are represented by …………….. |
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Answer» Correct Answer is Z+ |
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| 287. |
The Loss of ₹500 is represented asA) +500 B) -500 C) A or B D) None |
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Answer» Correct option is B) -500 |
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| 288. |
The Mathematician who used minus (-) for negative numbers is …………………. A) Brahma Gupta B) RamanujanC) Kaprekar D) Aditya |
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Answer» A) Brahma Gupta |
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| 289. |
Solve:(i) 4 x (8) = …. = ….(ii) 3 x (-3) = …. = ……(iii) 5 x (-9) = …. = ….. |
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Answer» (i) 4 x (8) = (- 8) + (-8) + (-8) + (-8) = -32 |
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| 290. |
Non-negative integers are represented by A) Z-B) Z C) N D) W |
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Answer» Correct option is D) W |
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| 291. |
Negative integers are represented by …………… A) Z+B) Z- C) N D) W |
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Answer» Correct option is B) Z- |
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| 292. |
Find:(i) 15 x (-5)(ii) 27 x (- 10)(iii) – 12 x 12(iv) -7 x 4 |
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Answer» (i) 15 x (-5) = – 75 |
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| 293. |
Find the following product(i) (-1) x (-1) x (-1) = ……..(ii) (-1) x (-1) x (-1) x (-1) = …….. |
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Answer» (i) (-1) x (-1) x (-1) = [(-1) x (-1)] x (-1) = (+1) x (-1) = -1 (ii) (-1) x (-1) x (-1) x (-1) = [(-1) x (-1)] x [(-1) x (-1)] = 1 x 1 = 1 |
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| 294. |
Natural numbers are represented by ……………… A) Z-B) Z+C) N D) W |
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Answer» Correct option is C) N |
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| 295. |
In which direction we will move and on which number will we teach by subtracting + 5 from – 3? |
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Answer» On number line, left side will be used and will reach at – 3 – (+ 5) = – 3 – 5 = -8. |
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| 296. |
In which direction we will move and on which number will we reach by adding 5 to 3? |
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Answer» On number line, right side will be used and will reach at, 3 + 5 = 8. |
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| 297. |
Sum of two integers is –80. If one of the integers is –90, then find the other. |
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Answer» Sum of two integers is –80. If one of the integers is –90, then the other is 10. |
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| 298. |
Using the number line, write the integer which is (a) 4 more than –5 (b) 3 less than 2 (c) 2 less than –2 |
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Answer» (a) – 1 (b) – 1 (c) – 4 |
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| 299. |
Find the values of (-3) × 6 = __________ = -(3 × 6) = – 18 |
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Answer» The value is 3 × (-6) |
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| 300. |
Observe the following :-3 x 4 = -12-3 x 3 = -9 = -12 – (-3)-3 x 2 =-6 = -9 – (-3)-3 x 1 = -3 = -6 – (-3)-3 x 0 = 0 = -3 – (-3)-3 x (-1) = 3 = 0 – (-3)-3 x (-2) = 6 = 3-(-3)Similarly, complete the following :(i) -3 x (-3) = …….(ii) – 3 x (-4) = ……. |
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Answer» (i) (-3) x (-3) = 9 = 6 – (-3) (ii) (-3) x (-4) = 12 = 9 – (-3) |
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