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InterviewSolution
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.
| 401. |
State whether the statements are True or False.Integers are closed under subtraction. |
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Answer» True The difference of two integers is always an integer. |
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| 402. |
Simplify : 8 + 8 – 8 × 8 ÷ 8 |
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Answer» 8 + 8 – 8 × 8 ÷ 8 (Division) = 8 + 8 – 8 × 1 (Multiplication) = 8 + 8 – 8 (Addition) = 16 – 8 (Subtraction) = 8 8+8=16 16-8=8 8×8=64 64÷8=8 Answer:8 As per the rule of DMAS First, division. ( 8 ÷ 8 = 1) Second, multiplication ( 1× 8 = 8) Third, addition. (8 + 8 = 16) Fourth, subtraction. (16 - 8 = 8) = 8
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| 403. |
Prepare a pattern to find (- 7) × (- 2) starting from (- 7) × 5. |
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Answer» – 7 × 5 = – 35 – 7 × 4 = – 28 – 7 × 3 = – 21 – 7 × 2 = – 14 – 7 × 1 = – 7 – 7 × 0 = 0 – 7 × (- 1) = + 7 – 7 × (- 2) = + 14 |
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| 404. |
Next three consecutive numbers in the pattern 11, 8, 5, 2, –, –, — are(a) 0, – 3, – 6 (b) – 1, – 5, – 8 (c) – 2, – 5, – 8 (d) – 1, – 4, – 7 |
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Answer» (d) -1, -4, -7 In the given sequence of numbers, each number differs by 3 from the previous number. |
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| 405. |
Natural numbers are also called ………….. |
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Answer» Non-Negative integers |
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| 406. |
In a class test (+ 3) marks are given for every correct answer and (–2) marks are given for every incorrect answer and no marks for not attempting any question. (i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly? (ii) Mohini scores –5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?(iii) Rakesh scores 18 marks by attempting 16 questions. How many questions has he attempted correctly and how many has he attempted incorrectly |
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Answer» (i) Let `x` is the number of questions that Radhika answered incorrectly. Then, `12(3) + (-2)x = 20` `2x = 16=>x = 8` (ii)Let `y` is the number of questions that Mohini answered incorrectly. Then, `7(3) + (-2)x = -5` `2x = 26=>x = 13` (iii)Let `a` is the number of questions that Rakesh answered correctly. Then, `16-a` is the number that he attempted incorrectly. Then, `3a+(-2)(16-a) = 18` `3a+2a-32 = 18=> 5a = 50=> a = 10` So, Rakesh answered `10` questions correctly and `6` questions incorrectly. |
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| 407. |
In a class test containing 10 questions 5 marks are awarded for every correct answer and -2 marks for every incorrect answer and 0 for questions not answered.Mohan gets 4 correct and 6 incorrect answers. What is his score?Reshna gets 5 correct and 5 incorrect answers. Whats her score?Heena gets 2 correct and 5 incorrect out of 7 questions she attempts. what is her score? |
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Answer» 1) Score=5*4+(-2)*4=20-8=12 marks 2) Score=5*5+(-2)*5=25-10=15 marks 3) Score=5*2*(-2)*5+3*0=0 marks. |
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| 408. |
In a class test containing 10 questions, 5 marks are awarded for every correct answer and (-2) marks are awarded for every incorrect answer and 0 for each question not attempted.(i) Ravi gets 4 correct and 6 incorrect answer. What is his score?(ii) Reenu gets 5 correct and 5 incorrect answers. What is her score?(iii) Heena gets 2 correct and 5 incorrect answers. What is her score? |
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Answer» From the question we have 5 marks for correct answer and (-2) marks for incorrect answer. Now. We get, (i) Ravi’s score, 4 correct answer = 4 × 5 = 20 6 incorrect answer = 6 × (-2) = -12 = 20+ (– 12) = 20 – 12 = 8 (ii) Reenu’s score, 5 correct answer= 5×5 = 25 5 incorrect answer= 5× (-2) = -10 = 25 + (-10) = 25 – 10 =15 (iii) Heena’s score, 2 correct answer = 2 × 5 = 10 5 incorrect answer = 5× (-2) = -10 3 not attempted = 0 = 10 + (-10) +0 = 10 -10 = 0 |
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| 409. |
Taking today as zero on the number line, if the day before yesterday is 17 January, what is the date 3 days after tomorrow? |
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Answer» 23rd January |
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| 410. |
On the following number line, (–4) × 3 is represented by the point_________. |
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Answer» (–4) × 3 is represented by the point D |
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| 411. |
Fill in the blanks to make the statements true.If x, y and z are integers then (x +___ ) + z = _____ + (y + _____ ) |
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Answer» If x, y and z are integers then (x+ -y ) + z = x + (y + z ) |
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| 412. |
Fill in the blanks to make the statements true.(– 43) + _____ = – 43 |
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Answer» fill in the blanks to make the statements true.(– 43) + 0 = – 43 |
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| 413. |
Fill in the blanks to make the statements true.(– 8) + (– 8) + (– 8) = _____ × (– 8) |
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Answer» (– 8) + (– 8) + (– 8) = 3 × (– 8) |
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| 414. |
fill in the blanks to make the statements true.11 × (– 5) = – ( _____ × _____ ) = _____ |
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Answer» 11 × (– 5) = – ( 11× 5 ) = -55 |
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| 415. |
Simplify : 5 × 6 – 6 |
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Answer» 5 × 6 – 6 = 30 – 6 (Multiplication) = 24 (Subtraction) |
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| 416. |
Simplify : 24 ÷ 3 × 3 – 30 |
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Answer» 24 ÷ 3 × 3 – 30 (Division) = 8 × 3 – 30 (Multiplication) = 24 – 30 (Subtraction) = – 6 |
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| 417. |
Simplify :5 × 5 – 5 ÷ 5 + 5 |
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Answer» 5 × 5 – 5 ÷ 5 + 5 (Division) = 5 × 5 – 1 + 5 (Multiplication) = 25 – 1 + 5 (Addition) = 25 + 5 – 1 = 30 – 1 (Subtraction) = 29 |
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| 418. |
Find:i)(-2) – (+1) ii) (-270) – (-270) iii) (1000) – (-1000) |
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Answer» i) -2 – (+1) = -2 -1 = -3 ii) – 270 – (-270) = -270 + 270 [∵ -(-a) = a] = 0 [-a + a = 0] iii) 1000 – (-1000) = 1000 + 1000 [∵ -(-a) = a] = 2000 |
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| 419. |
If |x| = 15, then what will be the value of x ? Discuss. |
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Answer» Given |x| = 15 If x > 0, then |x| = + 15 If x < 0, then |x| = – 15 So, – 15 < x < 15 |
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| 420. |
Simplify: 5 × 5 – 5 ÷ 5 + 5 |
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Answer» 5 × 5 – 5 ÷ 5 + 5 (Division) = 5 × 5 – 1 + 5 (Multiplication) = 25 – 1 + 5 (Addition) = 25 + 5 – 1 = 30 – 1 (Subtraction) = 29 |
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| 421. |
Simplify: 24 ÷ 3 × 3 – 30 |
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Answer» 24 ÷ 3 × 3 – 30 (Division) = 8 × 3 – 30 (Multiplication) = 24 – 30 (Subtraction) = – 6 |
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| 422. |
Simplify: 5 × 6 – 6 |
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Answer» 5 × 6 – 6 = 30 – 6 (Multiplication) = 24 (Subtraction) |
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| 423. |
Following number line shows the temperature in degree celsius `90^@ C` right ) at different places on a particular day. (a) Observe this number line and write the temperature of the places marked on it. (b) What is the temperature difference between the hottest and the coldest places among the above? (c) What is the temperature difference between Lahulspiti and Srinagar? (d) Can we say temperature of Srinagar and Shimla taken together is less than the temperature at Shimla? Is it also less than the temperature at Srinagar ? |
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Answer» a)1)Lahulsiti=`-8^0C` 2)Srinagar=`-2^0C` 3)Shimla=`5^0C` 4)Ooty=`14^0C` 5)Banglore=`22^0C` b)difference=22-(-8)=`30^0C` c)difference=(-2)-(-8)=`6^0C` d)difference=(-8)+5=`-3^0C` Yes,this is smaller than `5^0C`. |
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| 424. |
In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square. |
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Answer» In the first square, If we check the sum of each row and each column in the first square, it comes `0`. However, if we check the sum of numbers on diagonals, it comes `0` and `-6`. As one of the diagonal have different sum than the sum of rows and columns, this is not a magic square. In the second square, If we check the sum of each row and each column in the second square, it comes `-9`. If we check the sum of numbers on diagonals, it comes `-9` and `-9`. As the sum of each row, column and diagonal have the same sum, this is a magic square. |
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| 425. |
Rita goes 20 km towards east from a point A to the point B. From B,she moves 30 km towards west along the same road. If the distancetowards east is represented by a positive integer then, how will yourepresent the distance travelled towards west? By which integer willyou represent her final position from A? |
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Answer» -10km from A There is 10 km towards west from A. |
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| 426. |
State whether the statements are True or False.Going 500 m towards east first and then 200 m back is same as going 200 m towards west first and then going 500 m back. |
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Answer» True Considering the originating point to the zero of a number line In the first scenario: 500 – 200 = 300 m to the right from the starting point (0) In the second scenario: -200 + 500 = 300 m to the right from the starting point (0). |
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| 427. |
Divide 184 into two parts such that one-third of one part may exceed one-seventh of the other part by 8. |
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Answer» Let the two parts are `x` and `184-x`. then, `x/3 = 1/7(184-x)+8` `=>7x = 3((184-x)+56)` `=>7x = 552-3x+168` `=>10x = 720` `=> x = 72` So, other part = `184 - 72 = 112`. So, two parts are `72` and `112`. |
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| 428. |
Given below are the temperatures in some cities. Write them using the proper signs.PlaceShimlaLehDelhiNagpurTemperature7 °C below 0°12 °C below 0°22 °C above 0°31 °C above 0° |
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Answer» Given below are the temperatures in some cities. Write them using the proper signs.
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| 429. |
Write the proper signs >, < or = in the boxes below:1. -4 __ 5 2. 8 __ -10 3. +9 __ +9 4. -6 __ 0 5. 7 __ 4 6. 3 __ 0 7. -7 __ 7 8. -12 __ 5 9. -2 __ -8 10. -1 __ -2 11. 6 __ -3 12. -14 __ -14 |
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Answer» 1. -4 < 5 2. 8 > -10 3. +9 = +9 4. -6 < 0 5. 7 > 4 6. 3 > 0 7. -7 < 7 8. -12 < 5 9. -2 > -8 10. -1 > -2 11. 6 > -3 12. -14 = -14 |
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| 430. |
Principal `(P)=Rs. 1200`, `Rate (R)=12%`, `Time (T)= 3 years`,`Interst (I)=?`, `Amount (A)=?` |
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Answer» `I=(P*R*T)/100` `I=(1200*12*3)/100``I=432s` Amount=Principal+Interest `A=1200+432` `A=1632Rs`. |
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| 431. |
A 150 m long train crosses a pillar in 15 seconds and a train equal in length coming from its opposite direction in 12 seconds. The speed of the second train is: a.) 45km/hr b.) 48km/hr c.) 52km/hr d.) 54km/hr |
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Answer» As length of both trains are equal, `:.` Length of the second train ` = 150m` Time taken by second train to cross pillar ` = 12` sec `:.` Speed of second train `= 150/12` m/sec `= 12.5` m/sec Speed of train in km/hour `= 12.5**3600/1000 = 45` km/hour So, option `a` is the correct option. |
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| 432. |
The price of an article was first increased by 10% and then again by 20%. If increased price by Rs. 33, the original price be |
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Answer» Let the original price is `x` Rs. After `10%` increase price will be `= x**(100+10)/100 = 11/10x` Rs After `20%` increase price will be `= 11/10x**(100+20)/100 = 132/100x` Rs We are given, increased price is `33` Rs. `:. 132/100x = 33` `=> x = 100/4 = 25` Rs `:.` Original price of the article is `25` Rs. |
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| 433. |
The sum of two integers is `-450`. If one integer is `-327`, find the other. |
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Answer» Let the two integers are `-327` and `x`. Then, `-327+x = -450` `=>x = -450+327` `=>x = -123` So, the other integer is `-123`. |
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| 434. |
Arrange the following integers in ascending order and descending order. -1000, 10, -1, -100, 0, 1000, 1, -10 |
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Answer» Given numbers -1000, 10, -1, -100, 0, 1000, 1, -10 Ascending order: –1000, -100, -10, -1, 0, 1, 10, 1000 Descending order: 1000, 10, 1, 0, -1, -10, -100, -1000 |
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| 435. |
Write the integers in descending order and ascending order : -9, -1, 0, -10, -6 |
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Answer» Ascending order: -10, -9, -6,- 1, 0 Descending order: 0, -1, -6, -9,-10 |
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| 436. |
Write the following integers in descending order and ascending order :(i) -9, -1, 0, -10, -6(ii) -6, 6, -9, 5, 10, -3(iii) 15, -20, -35, 0, 2 |
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Answer» (i) Ascending order: -10, -9, -6,- 1, 0 Descending order: 0, -1, -6, -9,-10 (ii) Ascending order: -9, -6, -3, 5, 6, 10 Descending order: 10, 6, 5, -3, -6, -9 (iii) Ascending order: -35, -20, -15, 0, 2 Descending order: 2, 0, -15, -20, -35 |
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| 437. |
Write the integers in descending order and ascending order :15, -20, -35, 0, 2 |
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Answer» Ascending order: -35, -20, -15, 0, 2 Descending order: 2, 0, -15, -20, -35 |
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| 438. |
Write the integers in descending order and ascending order :-6, 6, -9, 5, 10, -3 |
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Answer» Ascending order: -9, -6, -3, 5, 6, 10 Descending order: 10, 6, 5, -3, -6, -9 |
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| 439. |
By observing the number line (Fig), state which of the following statements is not true.(a) B is greater than –10 (b) A is greater than 0(c) B is greater than A (d) B is smaller than 0 |
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Answer» (c) B is greater than A. Since, B lies to the left of zero and A lies to the right of zero on the number line clearly, A has to be greater than B. |
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| 440. |
When the integers 10, 0, 5, – 5, – 7 are arranged in descending or ascending order, them find out which of the following integers always remains in the middle of the arrangement.(a) 0 (b) 5 (c) – 7 (d) – 5 |
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Answer» (a) 0 When the given integers are arranged in descending order we have: 10, 5, 0, -5, -7 When the given integers are arranged in ascending order we have: -7, -5, 0, 5, 10 It’s seen that in both the orders 0 always remains in the middle of the arrangement. |
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| 441. |
12, 18, 21, 27, 30, 36, 39, ______ (a) 43 (b) 45 (c) 49 (d) 52 |
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Answer» Correct option is: (b) 45 Given 12, 18, 2f, 27, 30, 36, 39, ______ 3 × 4, 3 × 6, 3 × 7, 3 × 9, 3 × 10, 3 × 12, 3 × 13, 3 × 15 So, the answer is 3 × 15 = 45 |
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| 442. |
The value of 45 + (-21) – (-20) = A) +4 B) +44C) -4 D) -44 |
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Answer» Correct option is B) +44 |
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| 443. |
The number that comes after-6 on the number line is ……………. A) – 7 B) – 5C) + 7 D) + 5 |
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Answer» Correct option is A) – 7 |
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| 444. |
A frog was fell into a 30 feet deep well. Each hour it managed to climb up 3 feet, but the following hour, it slipped back 2 feet. In how many hours did it get out of the well? A) 28 hours B) 29 hours C) 31 hoursD) 30 hours |
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Answer» Correct option is D) 30 hours |
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| 445. |
Compute each of the following :(a) 30+ (-25)+ (-10)(b) (-20) +(-5)(c) 70 + (-20) + (-30)(d) -50+ (-60)+ 50(e) 1 + (-2) + (-3) + (-4)(f) 0 + (-5) + (-2)(g) 0 – (-6) – (+6)(h) 0 – 2 – (-2) |
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Answer» (a) 30 + (-25) + (-10) = 30 + (-25 – 10) = 30 + (-35) = 30 – 35 = -5 (b) (-20) + (-5) = -20 – 5 = -25 (c) 70 + (-20) + (-30) = 70 + (-20 – 30) = 70 + (-50) = 70 – 50 = 20 (d) -50 + (-60) + 50 = (-50 – 60) + 50 = -110 + 50 = -60 (e) 1 + (-2) + (-3) + (-4) = 1 + (-2 – 3 – 4) = 1 + (-9) = 1 – 9 = – 8 (f) 0 + (-5) + (-2) = 0 + (-5 -2) = 0 + (-7) = 0 – 7 = -7 (g) 0 – (-6) – (+6) = 0 + 6 – 6 = 6 – 6 = 0 (h) 0 – 2 – (-2) = 0 – 2 + 2 = -2 + 2 = 0 |
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| 446. |
12, 19, 26, 33, 40, 47, (a) 57 (b) 54 (c) 52 (d) 50 |
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Answer» Correct option is: (b) 54 Given 12, 19, 26, 33, 40, 47, __________ Each number in the series obtained by adding 7 to the previous number. So, next number is 47 + 7 = 54. |
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| 447. |
Fill in the blanks using <, = or >.-10 ___ -11 |
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Answer» > : -10 > -11 |
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| 448. |
Fill in the blanks using <, = or >.-60 ___ 50 |
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Answer» < : : -60 < 50 |
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| 449. |
Fill in the blanks to make the statements true:(–11) + (–2) + (–1) = _______. |
| Answer» (–11) + (–2) + (–1) = -14. | |
| 450. |
12, 19, 26, 33, 40, 47, _______(a) 57 (b) 54 (c) 52 (d) 50 |
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Answer» Correct option is: (b) 54 Given 12, 19, 26, 33, 40, 47, __________ Each number in the series obtained by adding 7 to the previous number. So, next number is 47 + 7 = 54. |
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