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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. |
\begin{array}{l}{\text { Solve the following linear equat }} \\ {\text { 1. } \frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}}\end{array} |
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| 2. |
Yoltme and surfince arca of a solid hemisphere are numerically equat. 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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| 3. |
Compare the following pairs of ratiosEx (1) |
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Answer» 4/9, 7/8=4/9<7/8 is the right answer |
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| 4. |
Nvember4. The cost of Math book is 24587 paise and that of Science book is230Grade:and 50 paise. Find the cost of both the books |
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Answer» Cost of maths book=24587paise=245.87RsCost of science book=230.50RsTotal cost=245.87+230.50Rs=476.37Rs |
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| 5. |
2 4 .3 400" ¢Qe o5 3 378 ) |
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| 6. |
152 x - 378 y = - 74 \text { and } - 378 x + 152 y = - 604 |
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| 7. |
Te Long Anower Type Questions21. ABC is mangle un which 2 A-72", te internal bsectors of angles 8 and C4meet at O Find the magnirude ofAf İİBCBOC22. In the given figure (11.23), AE bisects ZCAD and B C. Prove thatFig 11.23 |
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Answer» Kindly crop the question, you need the solution to. 22 |
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| 8. |
3. If 152 x-378 y=-74 and-378 x + 1520__ 604, find x + y: x-y |
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| 9. |
If α and β are the zeros of the quadratic polynomial f(x) = x2-3x-2, find a quadraticpolynomial whose zeros are 2a + β and 2B+ α18. |
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| 10. |
Circles45914. In the given figure, O is the centre of thecircle, BD = OD and CD丄AB. Find <CAB. |
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| 11. |
Find a quadratic polynomial whose zeros are13and |
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| 12. |
If α and β are the zeros of the quadratic polynomial f(1) # x2-1, find a quadratic20 and 222a29polynomial whose zeros are 8 and |
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| 13. |
artist is climbing a 20 m long rope, which iss clii1. A circusstretched and tied from the top of a verticalpole to the ground. Find the height of the pole, ifthe angle made th30 (see Fig. 9.11).e by the rope with the ground level is |
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Answer» hope it helps u!! |
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| 14. |
If α and β are the zeros of the quadratic polynomial f(x) = 2e-5x + 7, find apolynomial whose zeros are 2α + 3β and 3a + 2p.13. |
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| 15. |
The solution oflogJF x + log45 x + log95 x +(a) x=3+ log45 x = 36 is(b) x=4/3(d) x=13(c)x=9 |
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Answer» please send a clear photo |
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| 16. |
(B) ↑hinimum value of f (x)=2x®-4x5 s(B) -1(D) 3 |
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Answer» (A) 1 |
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| 17. |
Ex. (1) (x2 + 4x + 4) รท (x + 2) |
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Answer» (x+2)^2/(x+2)will be (x+2) |
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| 18. |
A CCTV camera has to b installed on that of a straight pole of 12m.height, so that traffic could b sen upto distance more than LOS of 13 mIn this situation:) What will be the distace fom the foot of the pole, ahead of which trafficis seen?(ii What will be areaof thGreen Patch around hhe pole?(ii) Do you think that CCTV imera is useful in the management of traffawareness? If yes, then w? |
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| 19. |
EX1. Evaluate.i) 3^-2 |
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Answer» thanks sir |
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| 20. |
s) In the given fgure CAB-40 AC- AB and BC -BD. Find(u)<CDBA400ladder 25 m long, when set against the wall of a house just reaches a witow far is the lower end of the ladder from the base of the wall? |
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| 21. |
Ex. 1: Prove that (log42) (log23)(log45)(logs3) |
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Answer» so, L.H.S = R.H.S |
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| 22. |
Ex.1 Find t, for the A.P. 32,28,24,20,... |
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Answer» tn=a+(n-1)d Here, a=32d=28-32=-4 tn=32+(n-1)(-4)=32-4n+4=36-4n |
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| 23. |
4 Fnd te valiue of x fom he foilloming |
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| 24. |
Find the quadratic polynomial, the sum of whose zeros is /2 and theirproduct is-12. Hence, find the zeros of the polynomial. |
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| 25. |
Find the value of the following exwhen x = 2:a) 2x +5b)-4x |
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Answer» a) 2(2)+5=4+5=9b) -4(2)=-8 |
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| 26. |
traight line are (2x +5)° and 3x°, find the an(iv) |
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Answer» Like if you find it useful |
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| 27. |
pi ng you cut offof it, what length of tape is cut?AC |
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| 28. |
A sphere of maximum volume is cut-out from a solid hemisphere of radius 6 cm. What is the volume of the cut-out sphere? |
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| 29. |
—2 bh lbkie b U HETCET 8 5 ६ शु०्ह 0८ |
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Answer» 3, 5, 8, 13 .... 5 - 3 = 2 8 - 5 = 3 13 - 8 = 5 21 - 13 = 8 34 - 21 = 13 To, next shreni 21 plus kare, 34 + 21 = 55 |
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| 30. |
4. Area of a trapezium is given by (a +bh. Find the area if a 5b - 7 and h-4 |
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Answer» put into the given equation1/2(a+b)h =1/2(5+7)×4= 24 |
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| 31. |
बज ST ‘L ‘S 'इइBIE bh D b IBELEW) |
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Answer» 1+3=4 now 4+3=7, again 1+7=8 now 8+7=15, again 1+15=16 now 16+15=31, again 1+31=32 now 31+32=63 so it's last no is 63 |
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| 32. |
De pettormedEXERCISE 9.1expressionsms, their coefficients for each of the following ex |
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Answer» (1) 1 + x + x^2Term = x^2, Coefficient = 1Term = x, Coefficient = 1Term = 1 (2) 4x^2y^2 - 4x^2y^2z^2 + z^2Term = x^2y^2, Coefficient = 4Term = x^2y^2z^2 , Coefficient = - 4Term = z^2 , Coefficient = 1 |
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| 33. |
EXSoive the following pairs of eguat113 |
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Answer» Assume 1/x = t , and 1/y = u so, the equation 1 becomes t/2 + u/3 = 2 or, 3t +2u = 12. and 2nd equation is t/3 + u/2 = 13/6 or,2t + 3u = 13 from 2nd equation t = (13-3u)/2putting this in equation 1. 3(13-3u)/2 +2u = 12 => 39/2 -9u/2 +2u = 12 => 5u/2 = 15/2 => u = 15/5 = 5 .. and hence , t = (13-15)/2 = -1 but u = 1/y , so y = 1/5 , and x = 1/t = 1/-1 = -1. so the value of x and y are -1, 1/5. |
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| 34. |
Ex. Solve the following equations.(2) 3y +8 22 |
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| 35. |
he volume of a frustum of right circular cone is 1176 the altitude of the frustum of the cone is 18 centimetre find theeddii of the upper and lower base respectively if the product of their ready is 60 cm2 |
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| 36. |
EX1. Write the following in decimahas :36100 |
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Answer» Decimal form of 36/100 = 0.36 |
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| 37. |
9. The cost of putting a fence around a square field at 25 per metre is 2000. The lengseach side of the field is(d) none of these(a) 80 m(b) 40 m(c) 20 m |
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| 38. |
(b) V-E+F=2(c) V + E-F=2(d) V-E-F-2B. What cross-section will you get when you give a horizontal cut to a loaf of bread? (auboiwith a square face)(a) square(b) rectangle(c) triangle(d) none.9. A cylinder has |
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Answer» when you give a horizontal cut to a loaf of bread you get a rectangle |
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| 39. |
Find the point on the x-axis which is equidistant from (2,-5) and (-2,9).the noints P(2,-3) a |
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| 40. |
1. In Fig 9.15,ABCD is a parallelogram, AE L Dcand CF 1 AD. If AB 16 cm, AE 8 cm andCF 10 cm, find ADd noints of Lh |
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| 41. |
27. A metallic bucket, open at the top, of height 24 cm is in the form of the frustum of a cone, theradii of whose lower and upper circular cnds are 7 cm and 14 cm respectively. Find : () thevolume of water which can completely fill the bucket. (ii) the area of the metal sheet used tomake the bucket. [Use T7 |
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| 42. |
Find the second order derivatives o() x2+3x 2 |
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| 43. |
19,Af the following words are ar-ranged according to the dictionaryorder, which will be the secondword in that order?(a) Disgrace (b) Disgruntled(c Disgorge (d) Disguise |
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Answer» First word will be Disgorge then second will be Disgrace please like the solution 👍 ✔️ |
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| 44. |
If P can complete a work in 30 days, Q cando the same work in 36 days, If they worktogether and after 5 days, P leaves the work.Find in how many days Q will do the remainingwork? |
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Answer» Amount of work P can do in 1 day = 1/30 Amount of work Q can do in 1 day = 1/36 Amount of work P and Q can do in 1 day = 1/30 + 1/36 = 11/180 Amount of work P and Q can together do in 5 days = 5 × (11/180) = 11/36 Fraction of work left = 1 – 11/36 = 25/36 Therefore Q finish remaining work (25/36) in 25 days |
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| 45. |
E*K=(m*v^2)/2 |
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Answer» Kinetic energy=1/2 ×mass×velocity^2 |
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| 46. |
(शो if Zcos + 2 sing = 1and टै इ्ए ल हू द०50 न 1, पीला2prove that a,’z— +5=2. |
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| 47. |
In the formula F+V-E 2, on putting F 40 and EAlso write the name of the formula.60 find the value of V. |
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Answer» Given formulaF +V - E = 2Put F = 40 and E = 60 in formula Then V = 2 + 60 - 40V = 22 This is Euler's formula |
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| 48. |
.9Find angles between the lines v3x+y=1and x+v3y=1 |
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Answer» Good |
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| 49. |
6. αIf,paretherootsortheequationx2+ 5x 5-0, then the equation whoseα+1and 1+1 is(a)+5x-50(d) none of these |
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| 50. |
Find the equation of the line passing through (-3,5) and perpendicular to thethrough the points (2, 5) and (-3, 6).10.th noints(1and 2.3 divd |
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