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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. |
. .y591 9-2 50 9tan 62 рен0реж5 9 - 0059 |
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Answer» LHS =sin a -2sin ^3 a/ 2cos^3 a + cos a=sin a (1-2sin^2a)/ cos a ( 2cos2a+1)=sin a/cos a × 1-2sin2a/2cos2a+1=tan a × 2(1-sin2a)/2(1-sin2 a)+1=tana ×1/1=tan a=RHS |
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| 2. |
9 sec^2 A-9 tan^2 A = |
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Answer» thanx |
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| 3. |
7i i 2)-1= 1&2 (tan थी + tan’ 9 |
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| 4. |
sing Eüler's formula find theunknown.e unkmown20FacesVerticesEdges691212 |
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| 5. |
\operatorname { sec } ^ { 2 } 60 ^ { \circ } - 9 \operatorname { tan } ^ { 2 } 60 ^ { \circ } |
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| 6. |
4 Using Euler's formula find the unknown.Faces ? 5 20Vertices 6? 12Edges 12 9 |
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| 7. |
U006ISINEEuler's formula find the illnknownTracesvertices 6Edges, 1251?&2012 |
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| 8. |
Using Euler's formula, find the unknownacesVertices 6Edges12 |
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| 9. |
K.Add 1+ m2, m+ n², n2 + 12,21m + 2mn +2n.15.Using Euler's formula find the unknown:FacesVertices.?.s20Edges12 |
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| 10. |
Euler's formula find the unknown.Faces20Vertices12Edges12 |
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| 11. |
10 cooks working for 8 hours each can prepare a meal for 536 people. How many cooks will be neededto prepare a meal for 737 people, if they are required to prepare a meal in 5 hours? |
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| 12. |
A solid cube is cut into two cuboids exactly at middle asshown in fig 6.31. Find the ratio of the total surface areaof the given cube and that of the cuboid.s. |
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Answer» The surface area of a cub is 6*(area of one face) = 6LWThe volume of a cube is LWHacube = 6LW to make two equal cuboids, we cut the cube in half through its height - LW(.5H)The surface area of the cuboid isbase + top + four sidesLW + LW + 4(.5HL)2LW + 2LHacuboid = 2L(W+H) so the ratio of the cube to the cuboid isacube : acuboid6LW : 2L(W+H)now, the important part, since we started with a cube L = W = H, so we can simplify6LL : 2L(L+L)6L^2 : 2L(2L)6L^2 : 4 L^26:43:2 |
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| 13. |
1 Use differential to approximate 、v36.6 |
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| 14. |
1. If nth term of an A.P. is (2nt1), what is its 13th terms? |
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| 15. |
1. If nth term of an A.P. is (2n+1), what is its 13th terms? |
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| 16. |
Q. 30. Use differential to approximate (26)3 |
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| 17. |
The volume of a cylinder which exactlyfits intora cube of side 4 cm is t cnm |
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Answer» Given; side of the cube=4cmTo find: Volume of a cylinder Formula :vol of cylinder =pi r^2hsolution :Given that the cube and cylinder are same sizeradius of cylinder =side of cubeheight of cylinder =side of cubepi r^ 2 h =pi *4*4*4*4=pi 64Therefore vol of cylinder is 64 pi cm cube |
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| 18. |
29.Three coins are tossed once. Find the probability of getting atleast twoheads.s previolerm or fir |
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| 19. |
· ㄧㄨㄧ11 22 4(a) 20(b) 15(c) 2(d)0 |
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Answer» 4/11÷ 4/11÷5/22*(5/4)(4/11*22/5)*(5/4)8/5*5/4= 2please like the solution 👍 ✔️ |
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| 20. |
tind Thehext erm of the |
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Answer» Given AP is: √7, √28, √63,....... = √7, 2√7, 3√7,...... >> Next term = 4th term = a + 3d= √7 + 3*√7 (first term a =√7 and common difference d = 2*√7-√7 = √7) = 4*√7 = √(7*4*4) = √112 |
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| 21. |
Find the sum of first n terms of an AP whose nth term is 1 -4n. |
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Answer» Here it is given that, an= 1 - 4n putting, n =1 , a1= 1- 4(1) = -3 putting, n =2 , a2= 1 - 4(2) = -7 Therefore, a = -3 and d = (-4) Sn=n/2[2a+(n-1)d]Sn=n/2[-6+(n-1)(-4)]-3n-2n^2+2n |
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| 22. |
If nth term of an A.P. is (2n+1). what is its 13th terms? |
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| 23. |
Use differential to approximate (25)3 |
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Answer» thx |
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| 24. |
Use differential to approximate (25)s |
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| 25. |
(UR)12. b) If A = {x) x is a prime number and x < 20}B = {x | 2x + 1, xe w and x s 9}, thenfind (1) AUB (ii) A B (iii) A-B (iv) B - A. What you are observedaa) The Coach of oriola |
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| 26. |
The sum of the first n terms of an AP is (Gn + 6n). Find thethe 15th term of this AP.tem andCBSE 2014 |
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Answer» Given,Sn = 3n² + 6n Put n = 1S₁ = 3(1)² + 6(1) = 3 + 6 = 9 Put n = 2S₂ = 3(2)² + 6(2) = 12 + 12 = 24 First term,a = S1 = 9Second term,a₂ = S₂ - S₁ = 24 - 9 = 15 Common difference,d = a₂ - a = 15 - 9 = 6 nth term,an = a + (n - 1)d = 9 + (n - 1)6 = 9 + 6n - 6 = 3 + 6n 15th term,a₁₅ = 3 + 6(15) = 3 + 80 = 83 nth term = 6n + 315th term = 83 |
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| 27. |
The sum of 5h and 9lh terms of amAP.is 30, fits 25t termmthe APA.P. is 30. Ifits 25 term is three times its 8h term, find[CBSE 2014]ICRSE 2014]8BST 2014 |
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| 28. |
(A) 1880If A be a non-singular matrix of order 3 x 3 then (Adj Al-(A) 31ě(B) 1440(B) AAns |
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| 29. |
7. The median of observations 11.12,14,18 x+2 20 22.25,61arranged in ascending orderis 21. Find the value of x.ANS 19 |
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| 30. |
. The yield of wheat from 6 hectares land is 280 quintals. Find the number ofhectares required for a yield of 225 quintals. |
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Answer» not answer is answer 13500 |
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| 31. |
Yield of soyabean per acre in quintal in Mukund's field for 7 yearswas 10, 7, 5, 3, 9, 6,9. Find the mean of yield per acre. |
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Answer» Mean will be10+7+5+3+9+6+9/749/77 acre 10+7+5+3+9+6+9/749/7 7acre |
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| 32. |
uljcuuill UR 20 on each machine?7. If a ball moves at 135 m/s, it will strike an object in 4 seconds. If it moves at 120 m/s, how long will ttake to strike the same object? |
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| 33. |
t(ak)'-2a2.x23. For any vector a, prove that the value of (a x )2t(а x |
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| 34. |
10.00a gua gardener decides to d make a palybeda.Con Corner which has 6, faces, & vertices and2 edges. Justiche in it is pessible by UningEulebi's sound formules11.00 |
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Answer» Given: Faces=6; vertices=8; edges=12; According toEuler's Polyhedral Formula, in a convex polyhedra, ifVis the number of vertices,Fis number of faces andEis number of edges thanV−E+F=2. It is apparent that with6faces,8vertices, and12 edges, then8−12+6=2, hence it is a valid polyhedra. However, it is evident that the figure is a cuboid or quadrilaterally-faced hexahedron, as it too has6faces,8vertices, and12edges. |
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| 35. |
U,n+12,21m + 2m15.Using Euler's formula find the unknown:+ 2n.FacesVertices?5Edges129 |
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| 36. |
ăźSolede Vallas DDE-Satisby, equationsin coumn 1 Giom tolumcoluiwnxdal |
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| 37. |
bene, LUPIEXERCISE 451. Demand for goods of an industry is given by the equation pg = 100, where p is the price4 is the quantity. Supply is given by the equation 20 + 3y = g. What is the equilibrium proand quantity.2. The demand and supply equations are given by p = 20 and 2p + 9 = 8 respectivelywhere p is the price and is the quantity. Determine the equilibrium price and quantity3. The demand for goods of an industry is given by p q = 25 and supply by p = 9+1, wherep is the price and a is the quantity demanded. Find the equilibrium price and quantityANSWERSIKU. 2011 |
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Answer» pq=10020+3p=q20+3=q/p........ pq= 10020+3p=q20+3p=q/p= 24= q/p 100 = qp3p + 20 = q20 + 3p = q\p24 = q\p pq=10020+3p=q20+3p=q/p=24=q/p |
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| 38. |
4.An aren is lll uie luFind the height of the arch at a point 1.5 m from one end.A rod of length 12 cm moves with its ends always touching the cthe end in contact with the r-axis.5.ne the equation of the locus of a point P on the rod, which is 3 cm |
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Answer» Let AB be the rod making an angleθθwith x - axis, and P(x, y) be a point on it such that AP = 3 cm Now PB = AB - AP is (AB = 12 cm ) ∴∴PB = 12-3 cm = 9cm Draw perpendicular from PQ and PR such thatPQ⊥0YandPR⊥0X Part 2Please like the solution 👍 ✔️ |
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| 39. |
[5; AABC ~ ADEF erm BC =3 ¥, EF =4 +, afg AABC#. का क्षेत्रफल 54 सेमी हों तो 21210 का क्षेत्रफल है-(A) 56 cm? . (B) 96 cm?(C) 196 cm? (D) 49 cm? |
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| 40. |
lU |
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| 41. |
nl. JUNI DDHitech LU CEAC at E.)7. In the given figure, AB = EF, AB || EF anBC || DE. Prove that BC = DE.A>ВIn a certain triangle, one angle is twice |
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| 42. |
oAb LU * /”'.” ८1 Mok2 ek de You WAl लिप Wl fe (णग्ज ¢Q. X N T ! |
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Answer» Whitewash, or calcimine, kalsomine, calsomine, or lime paint is a type of paint made from slaked lime and chalk calcium carbonate,... |
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| 43. |
23. If sum 8l E LU24. If one zero of 4x2 - 9 - 8kx is negative of the other find k.DE nIFSTIQNS |
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| 44. |
Which term of the AP 8, 14,20, 26,.. will be 72 more than its 41st temCBSE 2017 |
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Answer» Like my answer if you find it useful |
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| 45. |
CBSE 2017115. A toy is in the shape of a cone mounted on a hemisphere of same baseradius.If the volume of the toy is 231 cm and its diameter is 7 cm, findthe height of the toy.CRSE 2012 |
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| 46. |
14. Which term of the AP 8, 14, 20, 26, .. will be 72 more than its 41stterm?CBSE 2017)15. Which term of the AP 5, 15, 25,... will be 130 more than its 31st term?ICBSE 2006C] |
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| 47. |
Shanti Sweets Stall was placingtheir sweets. Two sizès of boxes were required. The bigger of dimensions5cm x 20 cm x 5cm and the smaller of dimensions 15 cmx 12 emx5 em. For all theoverlaps, 5% of the lotal surface area is required extra. If the cost of the cardboard isI for 1000 cm', find the cost of cardboard required for supplying 250 boxes of eachkind.n order for making cardboard BOlnmnorary shelter for her car, by making a box-like structureeur (with the front faceha c |
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| 48. |
A cylindrical tub of radius 12 cm contains water uptoa depth of 20 cm. A spherical iron ball is droppedinto the tub and thus the level of water is raised by6.75 cm. The radius of the ball isA. 7.25 cmB. 640.74.5 cmD. 9cm |
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| 49. |
ha l+cosx-I-cosx] 4%, ) Answer the following questions :44 2-8yszandlyy2z 2 +1y3 +1-0, then show that xyz-IThe length of an equilateral triangle being a unit and the vertices are Ax,y) |
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| 50. |
polyitis thepolymamiar |
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