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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. |
Sum of the member in Al us 15 & therewoduct is 45 And the Af and alsoHind the sum of 06th tom |
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Answer» Let a-d , a and a+d are three numbersthen3a= 15a= 5product= (a-d)(a+d)(a)= (a^2-d^2)(a)(25-d^2)5125-5d^2= 45125-45= 5d^2d^2= 16d= 4series will be 5,9,13,17,21--- 26th term= a+25d= 5+25*5130 |
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| 2. |
8in 1S |
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Answer» sin15°=(√3+1)/2√2 This is because sin15° is basically sin(45°-30°). So if you break it up:- sin(45°-30°)=sin45° cos30°- cos45° sin30° Accordingly putting the respective values you'll get the value of sin15° sin15=sin(45–30). =sin45.cos30-cos45.sin30. =(1/2^1/2).(3^1/2)/2- (1/2^1/2) .(1/2). =(3^1/2 - 1)/(2)^3/2. Thanks |
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| 3. |
i l\‘ दि1S+ -+ - |
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Answer» (3^-1 + 4^-1 + 5^-1)^0 = (1/3 + 1/4 + 1/5)^0 = [(20 + 15 + 12)/60]^0 = (42/60)^0 = (7/10)^0 = (7)^0/10^0 = 1/1 = 1 |
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| 4. |
2. Find the value of α such that the quadratic equation (c-12)-+ 2(x-12)x +2-0 lasequal roots. |
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| 5. |
Find the circumference of circle with radius 21 cm |
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| 6. |
(3) Find the volume of a sphere having radius 21 cm.Ans. |
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Answer» Volume of sphere : 4/3 × pi × r³ = 4/3 × 22/7 × 21³ = 38,808 cm³ |
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| 7. |
Find the area and circumference of a circle of radius 21 cm. |
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| 8. |
In the adjoining figure, the area enclosed between21 cmthe concentric circles is 770 cm2. If the radius ofthe outer circle is 21 cm, calculate the radius of theinner circle. |
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| 9. |
x log x dy/dx +y=2 log x |
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| 10. |
Example 8: Find (i) the curved surface area and (ii) the total surface arahemisphere of radius 21 cm. |
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| 11. |
2nd tenmthe numbes)The sum al thevee mumbeis in AP is 2l and thei odis 23/id |
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| 12. |
Find the coordinate of the point which divides the line segment joining the points (4-,3) and (8,5) in the ratio 3:1internally |
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Answer» Thank you |
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| 13. |
2sec Las2.cea |
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| 14. |
no cosa= las cossais, then kind |
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Answer» Given Equation is cosa = 12/13. We know that sin^2a + cos^2a = 1 sin^2a + (12/13)^2 = 1 sin^2a + 144/169 = 1 sin^2a = 1 - 144/169 sin^2a = 25/169 sin a = 5/13. Now, cos^2b + sin^2b = 1 cos^2b + (4/5)^2 = 1 cos^2b + 16/25 = 1 cos^2b = 1 - 16/25 cos^2b = 9/25 cosb = 3/5. We know that sin(a + b) = sin a cosb + sin b cosa = (5/13) * (3/5) + (4/5) * (12/13)
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| 15. |
9.29. If u and v are two function of x thenHence evaluatex log x dx. |
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Answer» ∫x logx dx Consider u = logx and v = x ∫x logx dx = logx ∫ x dx -(∫d(logx)/dx∫x dx)dx = x²logx/2 - ∫ 1/x × x²/2 dx = (x²logx)/2 - ∫x/2 = (x²logx)/2 - x²/4 + c |
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| 16. |
The value ofsin las 3) 2 |
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Answer» hope it helps u |
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| 17. |
E7 Evaluate ſ(log x)?dx. |
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| 18. |
Price of sugar is increased by 20%,what % of consumption is to be decreased so that there would be no increase in expenditure? |
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| 19. |
las x 35 x 5ă㨠|
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| 20. |
Evaluate / log x dx. |
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| 21. |
थी. किन ८८? —las का गुणनल iहे ™ है. |
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| 22. |
dern is an the las dirn is los |
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Answer» wrong h |
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| 23. |
if two zeroes of the polynomial t-6-2612 + 138x-35 are 2+ v3, find other zeroes.Of the polynomĂaln6e-26.138-35a |
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| 24. |
Sumoftheereasoto/thidifferenceoftheiperimster24 m. find the sides of the two squares. |
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| 25. |
5. Find all the zeroes of the polynomial 2are 2+ v3 and 2-13.9x5x3xl if two of its zeroes |
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| 26. |
I.Find the value of a, for which point P (2 is the mid-point ofthe line segment joining thei3"points Q(-5,4) and R(-1,0). |
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| 27. |
23. If sum of the 20/00324. If one zero of 4x2 -9 - 8kx is negative of the other find k.LODUC ANSWER TYPE QUESTIONS |
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| 28. |
9.29. If u and v are two function of x therHence evaluate x log x dx. |
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Answer» ∫x logx dx Consider u = logx and v = x ∫x logx dx = logx ∫ x dx -(∫d(logx)/dx∫x dx)dx = x²logx/2 - ∫ 1/x × x²/2 dx = (x²logx)/2 - ∫x/2 = (x²logx)/2 - x²/4 + c |
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| 29. |
The teacher was supposed to select a student as aclass monitor. If 30% of the students had leadershipquality and 65% had good management skills, whatis the difference between the maximum and theminimum probability of selecting a student whohas none of the two skills mentioned above?Ø 0.20Ⓡ 0.30© 0.35D 0.40© 0.45 |
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Answer» my answer is option c c option is correct answer of this question. c 0.35 is the correct ans 0.35 is the correctans B) 0.30 is the correct answer e) ,0.45 is the correct answer 0.35 is the right..... c is the correct option c) 0.35 is the right answer of the following c) is the right answer of the following 0.35 is the correct answer |
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| 30. |
खिकतट, शक्ति -भनवाध्व पीना स8- g ared ¢ 118५]= 2.1 ) |
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| 31. |
7. Obtain all the zeroes of 3x +6xx-10x- 5, if twoof its zeroes aredV3 |
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| 32. |
007.I A is any matrix such that A^5=1 thei find det(A^-1) |
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| 33. |
Express the following urational numbersas decimals!6327500 |
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| 34. |
On recurring decimals as rational numbers2. Express each of the following as a rational number.(a) 4.125(b)-2.03(c) 10.123 |
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Answer» 1) 4.125 = 4125/1000 = 33/82) -2. 03 = -203/1003) 10.123 = 10123/1000 33/8 is the correct answer of the given question |
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| 35. |
S. Write each of the following decim1000 (c) 700+203the following decimals in words100(a) 0.03 (b) 1.20 () 1Be 003 orthehich() 108.56 (d) 10.07 (e) 0.032 ( 5.008the number line does each ofthe |
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| 36. |
(d) the circumferenceofthelowerDed.5. Acircular grassy plot of land, 70 m in diameter, has a pathnning a round it on the outside. Find the cost of gravelling the path at A persquare metre. (Take Ď-3.14)it rotates. Find the area of th |
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Answer» Radius of circle= 70/2 = 35m. Area of path = (22/7)*[35*35 - 28*28]= (22/7)*441= 1386 sq metres. |
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| 37. |
How many chords can be drwan from 2 points of a circle |
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Answer» 10 as one chord consist 2 point no I am not satisfy from this answer |
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| 38. |
How many chords can be drawn through 21points on a circle ? |
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Answer» Number of points = 21 Hence n = 21 A chord connects circle at 2 points Hence, r = 2 Number of chord from 21 points = nCr = 21C2 = 21!/2!(21−2) = 21!/(2 |
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| 39. |
1 ऐ्> ® /%S" e= SNeBl जा. ol |
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Answer» p^2=(7+5-2√35)/(7+5+2√35)=(12-2√35)/(12+2√35) q^2=(7+5+2√35)/(7+5-2√35)=(12+2√35)/(12-2√35) p^2*q^2=1 |
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| 40. |
Find the ratio of ared ol thanBIf a diameter AB of a circle with centre O bisects each of the two chords CD and EF as shownin the flgure, Prove that the two chords are parallel |
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| 41. |
19. In the adjoining figure, BC is a diameter of acircle with centre O. If AB and CD are two chordssuch that ABI| CD, prove that AB CD. |
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| 42. |
11.How many chords can be drawn through 20 points on a circle? |
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| 43. |
betwiceasoldfindtheirages20. A is 25 yearsolder than B, and A's age is as much above 20 asB's is below 85: find their ageshence A will be three |
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| 44. |
if 2a-3b=4 and ab = 3. Find 8a^3 - 27b^3 |
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Answer» (2a - 3b) = 4 Cubing (2a - 3b)³ = 4³ 8a³ - 27b³ - 3ab ( 2a - 3b) = 64 8a³ - 27b³ - 3 × 3 × 4 = 64 8a³ - 27b³ = 64 + 36 = 100 |
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| 45. |
In right angled Δ ABC If B-900, AB-3BC 4, AC 5 then find the ratioss1ηθ and cosO53 |
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| 46. |
Use De Moivre's theorem to find (\sqrt{3}+i)^{3}. |
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| 47. |
3) What is a postulate?4) What is a theorem ? |
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Answer» postulate(also sometimes called anaxiom) is astatementthat is agreed by everyone to be correct. This is useful for creatingproofsinmathematicsandscience, and postulates are often the basictruthof a much largertheoryorlaw. theoremis astatementthat has beenprovenon the basis of previously established statements, such as other theorems, and generally accepted statements, such asaxioms. A theorem is alogical consequenceof the axioms. |
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| 48. |
Find the ratio of area of triangle to that of squareIf a diameter AB of a circle with centre O bisects each of the two chords CD and EF as shownin the flgure, Prove that the two chords are parallel.62 |
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Answer» Given Diameter AB bisect chords CD and EF , So CM = MDAndEN = NF And we know a line from center to chord is bisect that chord than that line also perpendicular on that chord . So |
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| 49. |
52. How many chords are therein the circle with centre O?(2) 3(4) 6(3) 2 |
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Answer» there r 6 chords in the circle |
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| 50. |
a father is 25 years older than his son after 8 years the ratio of their ages will be 13:8 . find their present age. |
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