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. |
-3*sqrt(2)/(sqrt(15) %2B 3*sqrt(2)) - 2*sqrt(5)/(sqrt(5) %2B sqrt(6)) %2B (7*sqrt(3))/(sqrt(3) %2B sqrt(10)) |
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| 2. |
210. Simplify: 2) x (343)5164 83 75 |
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Answer» thankyou |
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| 3. |
3.If fand g are real functions defined by f(x)22x-1 andg(x) = x, thena) (3/-2g)(1)= 1b) (fg)(2)=10c) 83(2)=128 |
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| 4. |
Let x and y be two numbers such that x 6y. Then y is less then x by :(a) 50%(b) 60%(c) 75%(d) 83%/03If its len oth is reduced by 10% and its breadth is increased by |
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Answer» x=6y so y=x/6 so y=x-5x/6so in percentage 500/6=83.33% |
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| 5. |
(-70)*(-83 - 22 - 5 %2B 10) |
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Answer» 7000 is the answer of the following 700 is the answer of the following (-70) × (-110) = 7700 |
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| 6. |
Draw the schematic diagram of Autotransformer Starter |
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| 7. |
Draw the schematic diagram of Autotransformer Starter |
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| 8. |
3. Draw the schematic diagram of Autotransformer Starter. |
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| 9. |
Verifythat 3, -1 and are the zeros of the cubic polynomial-5x-11x-3 and verify the relation between its zerosand coefficients. |
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Answer» If α , β, γ are roots of a cubic equation ax3 + bx2 + cx + d=0, then α + β + γ = -b/a α β +β γ + γα = c/a α βγ = -d/a Given:3, - 1 and - 1/3 are zeros of polynomial 3x^3 - 5x^2 - 11x - 3 Then,Sum of zeros = - (-5)/3 = 5/3Verify = 3 - 1 - 1/3 = (9 - 3 - 1)/3 = (9-4)/3 = 5/3 Product of pair of zeros = - 11/3Verify = 3*-1 + - 1*-1/3 + 3*-1/3 = - 3 + 1/3 - 1 = - 4 + 1/3 = (-12 + 1)/3 = - 11/3 Product of zeros = - (- 3)/3 = 1Verify = 3*-1*-1/3 = 3/3 = 1 |
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| 10. |
-4*sqrt(3)/(-sqrt(2) %2B sqrt(6)) %2B (3*sqrt(2))/(-sqrt(3) %2B sqrt(6)) %2B (2*sqrt(3))/(2 %2B sqrt(6)) |
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| 11. |
2*(3/2) %2B 6*(3/3) |
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Answer» 21/2 is the correct answer of the given question |
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| 12. |
a * 63 = (-9) * (-56) = 63a = 504 → a=-Hence, a = 8.6378Exercise 3.1Write down the numerator and the denominator of the following rationalnumbers.(a) (b) 73 (0) -16 (d) & (C) 5State whether the following statements are true (T) or false (F).(a) All fractions are not rational numbers.(b) All integers are rational numbers.(c) All rational numbers are fractions.d) O is not a rational number.e) 56 is a rational number.Frite the following as rational numbers.-18 (6) 29 (c) –101 (d) 315 (e) ?hanch of the following rational numbers on a nu |
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Answer» 1/5 =5/1 -11/13=13/-11 13/-11 is the correct answer the correct answer is C |
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| 13. |
-3*sqrt(2)/(sqrt(3) %2B sqrt(6)) %2B 3/(sqrt(2) %2B sqrt(3)) %2B (4*sqrt(3))/(sqrt(2) %2B sqrt(6)) |
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| 14. |
LULUUN ISU UU16If one of the fractions is 9, find the other.14. The product of two fractions is 9le find the number of he |
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| 15. |
SECTION-D23.The volume of right circular cone is 9856 cm3. If the diameter of baseis 28 cm. Find(0) Slant height of the cone(ii) Height of the cone.(ii) Curved surface area of the cone. |
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| 16. |
u-vxt y58.1-uu-xy |
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| 17. |
What is the pH range of human blood at which it works? |
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Answer» An important property of blood is its degree of acidity or alkalinity. The acidity or alkalinity of any solution, including blood, is indicated on the pH scale. The pH scale, ranges from 0 (strongly acidic) to 14 (strongly basic or alkaline). A pH of 7.0, in the middle of this scale, is neutral. Blood is normally slightly basic, with a normal pH range of 7.35 to 7.45. Usually the body maintains the pH of blood close to 7.40. A doctor evaluates a person's acid-base balance by measuring the pH and levels of carbon dioxide (an acid) and bicarbonate (a base) in the blood. Blood acidityincreases when the Level of acidic compounds in the body rises (through increased intake or production, or decreased elimination) Level of basic (alkaline) compounds in the body falls (through decreased intake or production, or increased elimination) Blood alkalinityincreases when the level of acid in the body decreases or when the level of base increases. |
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| 18. |
1).What is the pH range of human blood at which it works? |
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Answer» A pH of7is neutral. The lower the pH, the more acidic the blood. A variety of factors affect blood pH including what is ingested, vomiting, diarrhea, lung function, endocrine function, kidney function, and urinary tract infection. The normal blood pH is tightly regulated between7.35and7.45. |
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| 19. |
1. Find the principle value of sin(20) |
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Answer» 5π/6 is the correct answer of the given question 5pie /6 is correct answer |
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| 20. |
(UU)7. */*+2110. x-V+213. (2 + 3x?) |
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Answer» please intigration kar dijiye |
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| 21. |
o) ring th ieiener h retangdl hha |
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| 22. |
(-2*p %2B 6)^3 %2B (2*p %2B 6)^3 |
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| 23. |
11*x %2B x^3 %2B 6*x^2 %2B 6 |
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| 24. |
23 %2B 6*22 %2B 6*22 |
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Answer» the answer is 68.2 cause 22.6 + 22.6 is =45.2 and 45.3 so your answer is 68.2 |
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| 25. |
DaloThe Slont heighd of an tice crom cone rs130 mC-3.14) |
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| 26. |
4. Find three rational numbers lying between and4 |
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| 27. |
find principle solution of(i) Cos x1 |
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| 28. |
Iherefore,fourrationalnĂźmbers45re1 PExercise 2.1Which arrow best shows the position of 3 on the number line?BC D22-5 -4 3 2 107nd any three rational numbers between 11 and 1(ii) 0.1 anany five rational numbers between (i) a andrational Numbersind |
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Answer» 11/3 = 3(2/3) which is greater than 3 and 3.5 also and since C is < 3.5 so, D will the correct answer . |
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| 29. |
Find three rational numbers lying betweenand34 |
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| 30. |
2.Find three rational numbers lying between 0.2 and 0.2 |
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Answer» The rational number between 0.2 and 0.210= 0.201 , 0.205 , 0.209 First we have to make it like decimal 0.200 and 0.210now we will write the rational no. 0.201 and 0.202 are the rational no. between 0.2 and 0.21 but yo 0.21 ha 0.210 nhi Do you Know , that there is a big difference between 10, 10.0 , 10.00 and 10.000 ? And that difference is Nothing !! to be clear , 0.21 and 0.210 are exactly same.. but ques sa uska kya lena dena 0.21 and 0.210 are equal.. there is no difference between 0.21 in the question and 0.210 that i used to find the answer.. so, 0.200 and 0.210 , so just change the last two digits and get all the rational numbers between 0.200 and 0.210 , like 0.201 , 0.202 , 0.203 , 0.204 , 0.205 , 0.206 ... and so on.. 0.210 |
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| 31. |
tovyluu |
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Answer» Adjacent sides (ones next to each other) of a rhombus are supplementary. This means that their measures add up to 180 degrees. 180 - 140 = 40 So x = 40/2 = 20° |
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| 32. |
Uu'2" buurtby her?19. A rectangular sheet of paper is 15 cm long and 12cm wide. Find its perime |
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| 33. |
25. Find the area of a parallelogram ABCD inwhich AB 28 cm, BC 26 cm and diagonalAC 30 cm.A 28 cm B |
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| 34. |
tice set 5.5figure 5.38, points X, y., eside AB, side BC and s5.38, points X, Y, Z are the midpoimtsside AC of Bvely. AB 5 cm, AC -9 em and11 cm. Find the length of XY,YZ, XZ.BC |
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| 35. |
Find the general solution and the principle solution of:cos 3x + cosx - cos 2x =0 |
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Answer» very nice thank you |
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| 36. |
Find the general solution for cosx 1 |
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Answer» We have, cos x = 1 cos x = cos 0° x = 2npi ± 0°, n ∈ Z, [Since, the general solution of cos x = cos ∝ is given by x = 2npi ± ∝, n ∈ Z] x = 2npi, n ∈ Z Hence, the general solution of cos x = 1 is x = 2npi, n ∈ Z. |
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| 37. |
० /8 की 0 elo = Toma1 8l |
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| 38. |
6 द्ू०्०+1.. 0 gum+ही... दि.0 ElO) o H“E”: 18] 3A0L] |
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| 39. |
2.Find the general solution of equations: |
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| 40. |
find the general solution of cos3x=cosx |
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| 41. |
Find three different irrational numbers between the rational numbersandElo |
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| 42. |
5. Find the general solution of Cos3x=cosx |
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| 43. |
/the general solution ofar #ev isdi |
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Answer» kindly upload a clear image |
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| 44. |
x : \frac { 3 } { 5 } x + 1 = \frac { 2 } { 5 } - 3 x |
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Answer» 3x/5+3x=2/5-118x/5=-3/5so x=-3/18=-1/6 |
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| 45. |
FindthemeanIf the meanMarksNo. of studentsof the following data is 20.2, then find the value of p15302510206106Statistic |
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Answer» f)=6,8,p,10,6 x)=10,15,20,25,30also mean=20.2so,∑fixi/∑fi=20.2 now,∑fixi=(10*6)+(15*8)+(20*p)+(25*10+)(30*6) =610+20pnow∑fi=6+8+p+10+6 =30+p ∑fixi/∑fi=20.2 610+20p/30+p=20.2 20.2(30+p)=610+20p 606+20.2p=610+20p 20.2p-20p=610-606 0.2p=4 p=4/0.2 p=20 thx |
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| 46. |
sqrt(x)*y %2B x*sqrt(y)=1 |
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| 47. |
-sqrt((x %2B 3)/x) %2B 8*sqrt(x/(x %2B 3))=2 |
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| 48. |
x ^ { 2 } + \frac { 1 } { x ^ { 2 } } = 27 , \text { find the value of } 3 x ^ { 3 } + 5 x - \frac { 3 } { x ^ { 3 } } - \frac { 5 } { x } |
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Answer» thanks |
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| 49. |
\frac { x + 3 } { 7 } - \frac { 3 x - 5 } { 5 } = \frac { 3 x - 5 } { 3 } - 25 |
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| 50. |
\frac { x + 3 } { 7 } - \frac { 2 x - 5 } { 3 } = \frac { 3 x - 5 } { 5 } - 25 |
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