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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. |
5. Ifthe radius of a cylinder is doubled and height is halved, then what effect would it have on the volumeof the cylinder?6. A rectanculhr ch |
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Answer» volume= 2π r²h |
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| 2. |
n all suchSECTION-Ae value of k for which the equation x2 -4x +has equa rooOrt value of k, the quadratic equation kl.Au |
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Answer» For equal rootsD= 0b^2= 4ac(-4)^2= 4k4k= 16 k= 4 please like the solution 👍 ✔️👍 |
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| 3. |
If x2 +ăź=27 , nnd the value of.xs__x2 |
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Answer» x^2+ 1/x^2= 27 (x - 1/x)^2+ 2 = 27 (x - 1/x)^2 = 27 - 2 = 25 (x - 1/x)^2 = 25 (x - 1/x) = ± 5 x³- 1/x³= (x - 1/x)^3+ 3(x - 1/x) = (5)^3 + 3(5) = 125 + 15 = 140or x³- 1/x³ = (x - 1/x)^3 + 3(x - 1/x) = (-5)^3 + 3(-5) = -6125- 15 = - 140 ∴ x³- 1/x³= 140 or - 140 Like my answer if you find it useful! |
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| 4. |
Write down the degree of given equations(a) x2 + 5x + 6 = 0 (b) x3-27 = 0 |
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Answer» thanks |
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| 5. |
adratic equations by(ii) x2 + 6x27 |
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Answer» x²+6x-27=0sum=6, product=-27(x+9)(x-3)=0x=-9,3 |
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| 6. |
(x2 + 1 1 x + 27)-(x+6) |
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| 7. |
Solve the equationx2 -12x +27-0 by using formula. |
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Answer» x² - 12x + 27 = 0 Use discrimanat formula x = [12 +/- √[(-12)² - 4 × ( 27) ] ]/2 x = [ 12 +/- √36]/2 x = [ 12 +/- 6] /2 x = 18/2 and 6/2 x = 9 and 3 |
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| 8. |
prove that length of tangent are equal from external point.. |
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| 9. |
number of tangents are drawn from external point to circle is_______ |
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Answer» only one tangent is possible. |
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| 10. |
Prove that the tangents to a circle from an external point are equal |
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| 11. |
(d)|fx = a sec θ + b tashow that 2-ya2n θ and y = α tan θ + b see θ thenb2. |
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| 12. |
ABCD is a trapezium with AB || DC and M, N arepoints on AD and BC such that MN || DC. If thearea of ABNM is half the area of ABCD, then x2?(A) a b(B) a2 + b2a2 + b22(D) none of these(C) D |
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Answer» Well The Answer is Ca^2/2+b^2/2 |
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| 13. |
2.Find the area of a square park whose perimeter is 3201 |
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Answer» Perimeter of square Park 4 × side = 320 side = 80 Area of square park = side² = ( 80 cm)² = 6400 cm² |
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| 14. |
Example 13:The pillars of a temple are cylindricallyshaped (see Fig. 13.26). If each pillar has a circularbase of radius 20 cm and height 10 m, how muchconcrete mixture would be required to build 14 such |
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| 15. |
The pillars of a temple are cylindrically shapedIf each pillar has a circular base of radius 20 cmand height 10 m, how much concrete mixturewould be required to build 14 such pillars? |
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| 16. |
Quadraticpolynomial x-2x78 has zeroes as α and β. Now form a quadratic polynomial who2zeroes areand. |
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| 17. |
Example 13:The pillars of a temple are cylindricallyshaped (see Fig. 13.26). If each pillar has a circularbase of radius 20 cm and height 10 m, how muchconcrete mixture would be required to build 14 suchpillars? |
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| 18. |
FA ABC is an isosceles triangle in which AB AC D and Erespectively, then prove that BE CDdhe mid poines of Als and |
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| 19. |
11. Prove that "The lengths of the two tangents from an external95point to a circle are equal." |
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| 20. |
108. A lot of 4 white and 4 red balls israndomly divided into two halves.What is the probability that therewill be 2 red and 2 white balls ineach half? |
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Answer» The scenario is similar to drawing 2 white and 2 red balls from a bag of 4 white and 4 red balls (Assuming 4 balls are drawn at once without replacement) Possible outcomes 4R, 1R3W,2R2W, 3R1W, 4W So, the probability of dividing equal halves P(2W, 2R) = 1/5 = 0.2 |
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| 21. |
aos θSin D' |1叶hen.ghohstn나2-ふn29 |
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Answer» thanks tarangini |
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| 22. |
In the given figure,M is the centre of the circle,seg AD ~seg AC.Prove that-seg AB is the bisectorAof angleDAC. (Write only proof) |
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Answer» In triangle APM and AQMMP = MQ ( radius )angle p = angle q ( each 90°)AM = AM ( comman side)so with SASthese two triangles are congruenthence angle MAP = MAQ ( CPCT)or Angle DAC is being bisected by AB but MP and MQ are not radii of the circle |
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| 23. |
22.Three balls are drawh without replacement frothe probability distribution of the number of red balls drawn.m a bag containing 4 white and 5 red balis Find |
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| 24. |
Harsha said if aos, b n b2 then a b. Do you agree ? Justify youranswer |
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| 25. |
to) Evaluate :dog 93. |
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| 26. |
1) Volume and surface area of a solid hemisphere are numerically equal. What isthe diameter of hemisphere? |
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| 27. |
6. Volume and surface area of a solid hemisphere are numerically equal. What isthe diameter of hemisphere? |
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Answer» Volume of hemisphere = S.A of hemisphere2/3πr^3=3πr^22/3r=3r=9/2diameter =9/2x2=9 |
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| 28. |
6.Volume and surface area of a solid hemisphere are numerically equal. What isthe diameter of hemisphere? |
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| 29. |
(1) Volume and surface area of a solid hemisphere are numerically equal. What isthe diameter of hemisphere? |
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| 30. |
the volume and surface area of a solid hemisphere are numerically equal then what is the diameter of the hemisphere |
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Answer» Mee mama puku ra kojja thanks |
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| 31. |
2957 ÷93 |
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Answer» 2957÷93=55.79 is the answers 2957 ÷ 93 = 37.795698925 31.7956 is the best answer |
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| 32. |
(20558."= 93 : |
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Answer» ((2×2×2×2×2×2×2×2×2×2)÷(2×2×2×2×2×2×2×2×2))/((2×2×2×2)÷(2×2×2)) = 2 / 2 = 1 If you find this answer helpful then like it. |
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| 33. |
of the cylinderUBSE40. A right triangle whose sides are 15 em and 20 cm is made t1. 214.5 cm2, 244. 1 27. 6160 m3about its hypotenuse. Find the volume of the double cone so fomtTmHI |
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| 34. |
931500 |
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Answer» 93/ 1500 = 31/500 = 0.062 dashamlav prasar hoga. |
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| 35. |
12. A game of chance consists of spinning an arrowwhich comes to rest pointing at one of the numbers1,2, 3,4, 5,6, 7,8 seeFig 15.5), and these are equallylikely outcomes. What is the probability that it willpoint at6) 8?(n) an odd number?(n), a number greater than 2?iv) a number less than 9? |
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| 36. |
rtlhemispherehaveequalbaseandequalvolume.Findtheratioof13. Find the volume of the largest sphere curved out of a cube of side of214.In a right circular cylindes icm. |
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Answer» Edge of the cube = Diameter of the sphere=7 cmRadius of sphere=7/2 cm = 3.5 cmThen, volume of sphere craved out=4/3×22/7×7/2×7/2×7/2 cm=(11×7×7)÷3 cm=539÷3 cm=179.67 cm^3 |
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| 37. |
ame of chance consists of spinning an arrowwhich comes to rest pointing at one of the numbers1,2, 3,4, 5,6, 7,8 (see Fig. 15.5), and these are equallylikely outcomes. What is the probability that it willpoint at(i) 8?(ii) an odd number?(ii) a number greater than 2?(iv) a number less than 9? |
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| 38. |
The ratio of volume of a cone and cylinder of equal diameter and equal height isc)1:2d) 2: 1 |
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| 39. |
2. A game of chance consists of spinning an arrowwhich comes to rest pointing at one of the numbers1,2,3,4,5,6, 7, 8 (see Fig. 15.5), and these are equallylikely outcomes. What is the probability that it willpoint atFig. 15.47620 8?(i) an odd number?(ii) a number greater than 2?(iv) a number less than 9?3 |
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| 40. |
(ie//fMr. X's salary is increased by 20%. On the increase, the tax rate is 10% higher.Findthe percentage of increase in the tax liability |
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Answer» Let his original salary be Rs. 100.Salary after increment = Rs. 120Let the tax on original salary be 20% and now tax on increased salary (Rs. 20) will be 22% i.e. Rs. 4.40.Thus, increase in tax liability = (6.60 /20)/100 = 22% |
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| 41. |
mid fomt IhgtomOIm |
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| 42. |
1. Which one of the following is greaterha Call(a) 5.0(b) 0.5(c) 0.005(d) 0.05 |
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Answer» Observe LHS from decimal.5,0,0,0 So, 5.0 is the largest |
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| 43. |
(A) PCQ (B)QCR (C)RcP (D)PCR |
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| 44. |
10(5-1)+77÷11 |
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Answer» the answer is 47 ................... The correct answer of your question is 4777777...... 10×4+77÷1110×4+740+747 correct answer the best answer is47…...... |
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| 45. |
व ५्ए, = -g ¢o T) n_g+4+ wine /£ P 0 |
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| 46. |
and tobaceoQ. 7. Why did the prisoner refuse wine and tobacco ? |
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Answer» The lawyer is imprisoned in the banker's garden house and allowed access to books, music, wine, and necessities. Fifteen years later, the banker realizes that he will be ruined if the lawyer collects on this bet. He decides to kill the lawyer before his sentence is up. |
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| 47. |
a, B call the roots of x2 - 6x + 6 = 0 thenvalue of a2 + B2 is- |
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Answer» 12is the right answer 12 is the correct answer of the given question 12 is the correct answer 12 is the right answer |
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| 48. |
Solve for χ and y:3xx-у7、2 |
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| 49. |
26 + 3b and a2-5a-3, b2-5b-3, then form that equation whose roots are -and19. |
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| 50. |
у+3Гу-54 |
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