This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Please answer de do Jo Answer dega mein uske 10 answer ko thanks karungi |
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Answer» ........................; |
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| 2. |
अब्दुल के पास एक 12 से मी लुंबी रस्सी है वह इस रस्सी से एक आयात बनाना चाहता है | तो आयात का क्षेत्रफल क्या होगा ? |
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Answer» Answer: 12 Step-by-step EXPLANATION: रस्सी उतनी ही राहेगी |
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| 3. |
the edges of a triangular board are 6cm , 8cm and 10 cm . find the cost of painting it at the rate of rs 14 per square cm. (dont forget 10 cm plss) |
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Answer» Answer: Area = 1/28base*height = 1/2*6*8 = 24 CM square cost of painting = 24*9= 216 = 2 rs 16 paisa Dont get confused. This TRIANGLE is a right ANGLED triangle as the SIDES comply with pythagoras theorem. So no need for heron. cheers please follow me and LIKE and vote it |
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| 4. |
Solve the problem?? |
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Answer» Step-by-step explanation: this is the 10 ANS WER I HOPE it's helpful for you it's of 8 th class , another 12 th answer is also helps you it's very important ,EASY |
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| 5. |
1) find the quotient and remainder ,when 4xcube -3x+9is divisible by (2x-3). 2) factorize 2xcube-11xsquare+17x-6 using synthetic division method. 3) If x cube +2xsquare +ax+b has factors (x+1) and (x-1),then find a and b. |
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Answer» Answer: 3.2 The Factor Theorem and The Remainder Theorem 257 3.2 The Factor Theorem and The Remainder Theorem Suppose we wish to find the ZEROS of f(x) = x 3 + 4x 2 − 5x − 14. Setting f(x) = 0 results in the polynomial equation x 3 + 4x 2 − 5x − 14 = 0. Despite all of the factoring techniques we learned1 in Intermediate Algebra, this equation foils2 us at every turn. If we graph f using the graphing calculator, we get The graph suggests that the function has three zeros, one of which is x = 2. It’s easy to show that f(2) = 0, but the other two zeros seem to be less friendly. Even though we could use the ‘Zero’ command to find decimal approximations for these, we seek a method to find the remaining zeros exactly. Based on our experience, if x = 2 is a zero, it seems that there should be a factor of (x − 2) lurking around in the factorization of f(x). In other words, we should expect that x 3 + 4x 2 − 5x − 14 = (x − 2) q(x), where q(x) is some other polynomial. How could we find such a q(x), if it even exists? The answer comes from our old friend, polynomial division. Dividing x 3 + 4x 2 − 5x − 14 by x − 2 gives x 2 + 6x + 7 x−2 x 3 + 4x 2 − 5x − 14 − x 3 −2x 2 6x 2 − 5x − 6x 2 −12x) 7x − 14 − (7x −14) 0 As you may recall, this means x 3 + 4x 2 − 5x − 14 = (x − 2) x 2 + 6x + 7 , so to find the zeros of f, we now solve (x − 2) x 2 + 6x + 7 = 0. We get x − 2 = 0 (which gives us our known zero, x = 2) as well as x 2 + 6x + 7 = 0. The latter doesn’t factor nicely, so we apply the Quadratic Formula to get x = −3 ± √ 2. The point of this section is to generalize the technique applied here. First up is a friendly reminder of what we can expect when we divide polynomials. 1 and probably forgot 2pun inte 258 Polynomial Functions Theorem 3.4. Polynomial Division: Suppose d(x) and p(x) are nonzero polynomials where the degree of p is greater than or equal to the degree of d. There exist two unique polynomials, q(x) and r(x), such that p(x) = d(x) q(x) + r(x), where either r(x) = 0 or the degree of r is strictly less than the degree of d. As you may recall, all of the polynomials in Theorem 3.4 have special names. The polynomial p is called the dividend; d is the divisor; q is the quotient; r is the remainder. If r(x) = 0 then d is called a factor of p. The proof of Theorem 3.4 is usually relegated to a course in Abstract Algebra,3 but we can still use the result to establish two important facts which are the basis of the rest of the chapter. Theorem 3.5. The Remainder Theorem: Suppose p is a polynomial of degree at least 1 and c is a real number. When p(x) is divided by x − c the remainder is p(c). The proof of Theorem 3.5 is a direct CONSEQUENCE of Theorem 3.4. When a polynomial is divided by x − c, the remainder is either 0 or has degree less than the degree of x − c. Since x − c is degree 1, the degree of the remainder must be 0, which means the remainder is a constant. Hence, in either case, p(x) = (x − c) q(x) + r, where r, the remainder, is a real number, possibly 0. It follows that p(c) = (c − c) q(c) + r = 0 · q(c) + r = r, so we get r = p(c) as required. There is one last ‘low hanging fruit’4 to collect which we present below. Theorem 3.6. The Factor Theorem: Suppose p is a nonzero polynomial. The real number c is a zero of p if and only if (x − c) is a factor of p(x). The proof of The Factor Theorem is a consequence of what we already know. If (x − c) is a factor of p(x), this means p(x) = (x − c) q(x) for some polynomial q. Hence, p(c) = (c − c) q(c) = 0, so c is a zero of p. CONVERSELY, if c is a zero of p, then p(c) = 0. In this case, The Remainder Theorem tells us the remainder when p(x) is divided by (x − c), namely p(c), is 0, which means (x − c) is a factor of p. What we have established is the fundamental connection between zeros of polynomials and factors of polynomials. Of the things The Factor Theorem tells us, the most PRAGMATIC is that we had better find a more efficient way to divide polynomials by quantities of the form x − c. Fortunately, people like Ruffini and Horner have already blazed this trail. Let’s take a closer look at the long division we performed at the beginning of the section and try to streamline it. First off, let’s change all of the subtractions into ADDITIONS by distributing through the −1s.Step-by-step explanation: |
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| 6. |
Puzzle in math i)3+5 =ans |
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Answer» Answer: 3+5=8 Step-by-step EXPLANATION: PLEASE MARK as BRAINLIEST. |
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| 7. |
7. Three persons start their morning walk from the same line at the same time and in the samedirection. Their steps measure 90 cm, 80 cm and 85 cm. At what distance from the starting linewill they be in the same line again? |
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Answer» Step-by-step explanation: Finding the LCM of 90,80 and 85 =12240 they will be in the same LINE again after travelling 12240 CM |
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| 8. |
Simplify (m+n)squre+(2m+n)squre+(2m-n) squre |
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Answer» ANSWER: Hope it helps! Plz. MARK it as the BRAINLIEST. |
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| 9. |
11/4 - 5/8+ -5/12+7/6 is k7/8. find k |
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Answer» k=23/7 Step-by-step EXPLANATION: We have 11/4-5/8+(-5/12)+7/6=k×7/8 =)11/4-5/8-5/12+7/6=k×7/8 =)66-15-10+28/24=k×7/8 =)66-15+18/24=k×7/8 =)69/24=k×7/8 =)69/24÷7/8=k =)k=69/24×8/7 =)k=23/7 pls MARK it as BRAINLIEST. |
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| 10. |
Pluto is 591300000m from the sun . express the strand form |
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Answer»
◢▇◣╱╱▇▇▇▇╲╲◢▇◣ ▇▇▇▇▇▇▇▇▇▇▇▇▇▇ ◥▇◤◥◤◥▇▇◤◥◤◥▇◤ ╲◥╲╲╲╲◥◤╱╱╱╱◤╱ ┏━━┓┏━━┳━━┳━━┓┏┓ ┃┏┓┃┃┏┓┃┏┓┃┏┓┃┃┃ ┃┗┛┗┫┃┃┃┗━┫┗━┓┃┃ ┃┏━┓┃┃┃┣━┓┣━┓┃┗┛ ┃┗━┛┃┗┛┃┗┛┃┗┛┃┏┓ ┗━━━┻━━┻━━┻━━┛┗┛ ╭╮┈┈╭┳╮╭┳━━╮╭╮ ┃╰╮╭╯┃┃┃┃╭╮┃┃┃ ╰╮╰╯╭┫┃┃┃╰╯┃┃┃ ┈╰╮╭╯┃┃┃┃╭━╯╰╯ ┈┈┃┃┈┃╰╯┃┃┈┈╭╮ ┈┈╰╯┈╰━━┻╯┈┈╰╯ 3.67×109 miles. Thank and MARK me BRAINLIEST |
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| 11. |
लबाई 12.8 सेमी वाला एक रेखाखंड खीचिए।रूलर और परकार की सहायता से इसके चार बराबर भाग कीजिए मापन द्वारा अपनी रचना की जाँच कीजिए। |
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Answer» Step-by-step explanation: |
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| 12. |
Ratio of ages of raju and rani are 3:5 the difference of their ages is 16 years find their ages |
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Answer» Probability of RAJU age=3/16 rani = 5/16 Step-by-step explanation: MARK me as BRAINLIEST and follow me PLEASE |
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| 13. |
I will mark as brainlistIn the summer holidays, 43,000 people from Delbe wentto Singapore, 24,500 people went to Pabai and 98;1970people went to London: How many people went toSingapore, Duboi and London altogether? |
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Answer» or is RIGHT Step-by-step EXPLANATION: |
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| 14. |
Compare the following. 3/4 and 4/5 |
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Answer» Answer: 4/5 is bigger Step-by-step explanation: 3/4 4/5 15/20 < 16/20 |
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| 15. |
3³×5³×7 21³(7-2)³ Anser it |
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Answer» answer is 27348890625 |
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| 16. |
Find three rational numbers between 4 and 5 |
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Answer» There are TWO WAYS of SOLVING this answer Mark me as BRAINLIEST |
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| 17. |
The area if an equilateral triangle is 9 under root 3 cm² find the length of its each side.please give step by step solution and I will mark you brainliest |
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Answer» Answer: HEY mate that's your answer hope it HELPS........... mark it as BRAINLIEST....... |
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| 18. |
Plz answer 6th question i and ii |
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Answer» Step-by-step EXPLANATION: GO through this |
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| 19. |
Y²-25Factorise the following:- |
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Answer» (y-5) (y+5) ......... |
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| 20. |
Represent √5 on the number line. |
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Answer» It is easy to represent Rational number on the number line but it would be difficult to represent the irrational number on the number line, as it is a NON- terminating non- RECURRING decimal. By using PYTHAGORAS Theorem and by taking the NEAREST PERFECT square number we got number root. sorry mate i can tell you this much only because in phone there is no feature to represent a number on number line. |
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| 21. |
How many pieces of ribbon of length 20/3cm can be cut off from a ribbon of length 1.20m |
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Answer» Answer: 18 pieces Step-by-step explanation: Hope this answer will SATISFY you....... PLZ MARK BRAINLIEST |
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| 22. |
Prove that straight lines perpendicular to the same straight lines are parallel to one another |
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Answer» if they form equal angle with the straight line Step-by-step explanation: two lines from a straight line would be PARALLEL if they form equal angle with that straight line. as here both the lines make 90 deg ANGLES which are equal so these lines would be parallel to each other. |
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| 23. |
How we will write the angle s |
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Answer» Step-by-step EXPLANATION: EITHER in DEGREES or in RADIANS
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| 25. |
17/48;19/36;11/30;5/24 find the lcm |
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Answer» if u have any problem kiddo.please WRITE it in the COMMENT BOX. |
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| 26. |
I want to know how to know Selling price when C.p and Profit percent is being thinked of 40% |
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Answer» bxhddhjsdjdjfjfjhd Step-by-step EXPLANATION: vhxhfjfvjf hsxhchf zhdcjijf hdhcjd |
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| 27. |
Products of digit of Numerator of subtraction of (12/5 and 13/7) |
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Answer» 9 is the answer Step-by-step explanation: Hope this answer will SATISFY you....... PLZ MARK brainliest |
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| 29. |
4c(-a+b+c) - [3a(a+b+c)-2b(a-b+c) |
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Answer» (-4ac+4bc+4c^2)-[3a^2+3ab+3ac-2ab+2b^2-2bc] -4ac+4bc+4c^2-3a^2-3ab-3ac+2ab-2b^2+2bc -7ac +6bc-ab+4c^2-3a^2-2b^2 |
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| 30. |
Please give step by step solution and I will mark u as brainliest and follow you |
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Answer» ................................ |
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| 31. |
4) Draw a cylinder and mark its curved face andone plane face. What two measurements areused to identify a cylinder? |
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Answer» Answer: a CIRCLE and a rectangle Step-by-step explanation: the top part of the cylinder is the plane SURFACE and the front FACING part is the curved one .... please please mark me the BRAINLIEST? |
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| 32. |
Sumplify2.0.01×0.05 |
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Answer» Step-by-step explanation: 2001/20000 |
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| 34. |
किसी कार के एक पहिये का वायास 70 से मी है , पहिये के द्वारा 50 बार घूमने पर कार कितनी दूरी तय करेगी ? |
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Answer» Answer: Step-by-step EXPLANATION: diameter = 70 cm radius = 35 cm so, DISTANCE in one REVOLUTION = circumference of tyre = 2πr = 2×(22/7)×35 = 2×22×5 = 220 cm now, distance in 50 revolutions = 220×50 = 11000 cm = 11 m Please mark my answer brainiest |
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| 35. |
5x-1/3(x+1)=6x+1/30 |
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Answer» Answer: 5x -1/3(x+1)=6(x+1/30) 5x -x/3-1/3=6x+6/30 (15x-x-1)/3=(180x+6)/30 14x-1=3*(180x+6)/30 14x-1=(180x+6)/10 10(14x-1)=180x+6 140x-10=180x+6 -10-6=180x-140x -16=40x x=-16/40 x=-2/5 Step-by-step explanation: PLEASE MARK AS BRAINLIEST |
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| 36. |
Find the LCM of 16 20 24 by using prime factorization method |
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Answer» 16=2*2*2*2 20 =2*2*2 24=2*2*2*3 lcm = 2*2*2*2*2*2*3 64*3 192 is the answer HOPE this helps you I gave u FIRST answer so plz mark me as brainlist |
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| 37. |
Find the LCM of 12,30,by using prime factorization method i want answer fast plz |
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Answer» Answer: Please DOWNLOAD teachoo app this app is mathematical app.... I HOPE IT HELPS YOU...... PLEASE MARK ME AS BRAINLIEST IF YOU SATISFIED FROM THIS ANSWER AND FOLLOW ME..... STAY HOME STAY SAFE.......... |
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| 38. |
Pls answer this thanks |
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Answer» Q5-(a) 3√125/27 Exact FORM: 5√15/3 DECIMAL Form: 6.45497224
(B) 3√-216*4.096 = 180.59598 (c)√80000 =282.842712475 |
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| 39. |
A car covers 12.55 km of distance in 1 litre of petrol. How much distance will it cover in36.7 litres of petrol?What is the importance of pollution norms for a vehicle? |
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Answer» Step-by-step EXPLANATION: This is the ANSWER |
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| 40. |
Q1. Choose the correct optionD) Sum of a - b + ab, b + c - bc and c-a - ac isa) 2c + ab - ac - beb) 2c - ab - ac - bcc2c + ab + ac + bcd) 2c - ab + ac + bcQ2. Coefficient of y in term -y/3 isa) -1b) -3c) -1/3d) 1/3Q3. The degree of the polynomial- is..a) 2b) 3c) 4d) 5Q4. Number of terms in the expression-is....a) 1b) 2c) 3d) 4Pls help guys!! |
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Answer» Step-by-step EXPLANATION: A c c b |
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| 41. |
Find the LCM of 4,6,8, by using common multiple method |
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Answer» Step-by-step explanation: 4=2*2 6=2*3 8=2*2*2 lcm=2*2*3*2 =24 |
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| 42. |
An object length is 23 cm breadth is 28 cm find perimetre |
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Answer» Step-by-step explanation: |
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| 43. |
Plz ans..... plz ...... |
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Answer» - 108.33 Step-by-step EXPLANATION: |
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| 44. |
8. Chalk contains calcium, carbon and sand in the ratio 12:3:10. Find the percentageof carbon in the chalk.9. If ₹ 2500 is to be divided among Ravi, Raju and Roy, so that Ravi gets two parts,Raju three parts and Roy fiveparts. How muchmoney will each get? What will itbe in percentages?solve them and follow me |
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Answer» Step-by-step explanation: 8. 12:3:10 Sum of RATIO= 25 Carbon ratio =3 (3/25) X 100=12% Do not know 9 |
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| 45. |
Convert 45cmintometersand kilo meters show me full problem |
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Answer» METRES....0.45 kilometres....45/100000 |
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| 46. |
2х-3 = 2х + 33x-1 3х + 4 |
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Answer» -6=6 -3=12 Mark me as BRAINLIEST |
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| 47. |
Find the LCM of 10 and 20 by using common multiple method |
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Answer» Answer: How to find the LCM of 10 and 20 The prime factorization of 10 is: 2 X 5. The prime factorization of 20 is: 2 x 2 x 5. Eliminate the duplicate FACTORS of the two LISTS, then multiply them once with the remaining factors of the lists to get lcm(10,10) = 20. bye FRND |
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| 49. |
किसी वर्ग का क्षेत्रफल 100 से मी है | उस वर्ग से काटे गाय सबसे बड़े व्रत की परिधि ज्ञात कीजिये ? |
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Answer» Answer: 20π CM Step-by-step EXPLANATION: Side = 10 cm agar side 10 cm hoga to circle ka radius 10 ka half hoga MATLAB 5 cm. so perimeter hoga =2* pi*5=20π |
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| 50. |
17 - [80 ÷ {2 x 3 - (-4) } ] |
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Answer» Step-by-step explanation: 17- 80÷ 6+4 17-80÷10 17-8 9 |
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