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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. |
URIF loBa (ab)x, then find the value of log,(ab). |
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| 2. |
24. The mass of a cylinder filled with gas is 30 kg 250 g and the mass of the empty cylinder is14 kg 480 g. How much is the mass of the gas contained in it? |
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| 3. |
lake g 10msAn object of mass 12 kg is at a certain heightabove the ground. If the P.E. of the object is 480J, find the height at which the object is w.rt. theGiven g 10 m s21(CBS.Е. 2015)ground. |
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| 4. |
the mass of acylinder filled with gas is 30bKg 250 g and the mass of the empty cylinder is 14 Kg 480 g how much is the mass of thevm gas contained in it |
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| 5. |
23. If 36 flats costooze, 10024. The mass of a cylinder filled with gas is 30 kg 250 g and the mass of the empty cylinder is14 kg 480 g. How much is the mass of the gas contained in it?h a m 85 cm is cut off What is the length of the |
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Answer» Mass of a cylinder filled with gas=30 kg 250 gMass of the empty cylinder=14 kg 480g ∴Mass of the gas contained in the cylinder=30 kg 250 g-14 kg 480 g=15 kg 770 g |
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| 6. |
13. A rectangular field is measured 290 m by 210 m. How long will it take for a gir to go two timesdi uith convas sheets. If theround the field, if she walks at the rate of 1.5 m/sec? |
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| 7. |
\frac c \theta - 1 c \theta %2B 1 = \frac 1 %2B \cos \theta \sin \theta |
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| 8. |
ही. थ g & बंटन किसी मोहल्ले के जिजिही का माध्यक तथा बदल ला TRहै ह खपत (इकाई में ) | 125—145145—1651656—185185—205 |
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| 9. |
A man sold two bed sheets at Rs 600 each. On one he gains 20% and on the other he loses 25%. How much does he gain or loss in the whole transaction? |
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| 10. |
ind the 9th term from the end (towards the first term) of theA.P. 5, 9, 13,.... 185. |
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| 11. |
-132.73 x 4 530.92 -53t (approx.hvodsfactof the cobs herehgt woold be approsimately 53i gains of cam on the cob.EXERCISE 133Assumealess stated otherseofthe base ora cone 대 10.5cm xad ta山athopsi0 cm, Fini ααη㎖surface area.nd the total surface area of a cone, fts slaa height is21 mand dameter of is base624 m.Curved surface area of a cone is 308 und ito da heighs a 14 m Fradi) rahusus of the base and (n) tocal surface area of the cuncconical tent is 10 m high and the radius of its base is 24 m Find(1) slant height of the tent.) coct of the canvas required to make the tent, ifthe cost uf t i C as is Rs TOW hat length of tarpaulin 3 m wide will be requirnd to make conical rent of heigniand base radius 6 m? Assume than the axtra legth of matil willhe quedsitching margins and wastags in cuting is approimatiely 20 cm (Use 3.14)5.slant height and base diasmeter of a conical tomb aze 25m und 14 m respectivelyind the cost of white-washing its curved surtace al the ttofRs210 per1. A joker's cap is in the form of a right cirular come of base dics2 on nd bergh24 cm. Find the area of the sheet required to makz 10 such ap |
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Answer» answer is not seenreply again |
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| 12. |
ur185 x 5 + 185 x 25. |
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Answer» the answer is 5550 of above question |
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| 13. |
number of terms aIf the ratio of the sum of tof their 9th terms. CBSE2017-4Mnd the common difference of the A.P. CBSE2017-3Mhe first n terms of two A.Ps is (7n + 1): (4n +27), then find the rationnd the seventh term (az) is 4, then find the first |
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Answer» Like if you find it useful |
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| 14. |
DateEind the coordinates of the verticesof excalitral triangle29 - |
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Answer» Co - ordinates are :-(0,0), (2a,0), (0,a×root3) |
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| 15. |
MATHEMATICS TRIAN124g Theorem 6.1 If a line is drawn parallel to one side of a triangle to intersect the Theother two sides in distinct points, the other two sides are divided in the sameratio. Sters & bat |
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| 16. |
X âbret L= 0 |
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Answer» PLEASE HIT THE LIKE BUTTON |
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| 17. |
Euclid statedare equal toform of athat alleach othepostulatenight anglesin the |
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Answer» thht567ghbvcdfujjndgj the correct answer is 75 postulate 4 is Euclid right angle |
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| 18. |
Aright triangleABC with sides 5 cm. I2㎝andl3cm is revolved about the side 12cm.Find the volume of the solid so obtainedinas |
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| 19. |
L JaRonos 0.LKAâjx_)e |
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| 20. |
(alpha %2B 1)*(beta %2B 1)=-C %2B 1 |
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| 21. |
If a and b are relatively prime number then what is their hcf |
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Answer» If a and b are relatively prime number thier HCF is 1 also known as coprime |
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| 22. |
185 square root |
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Answer» The square root of one hundred and eighty-five √185 = 13.6014705087 |
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| 23. |
JA. The first term of an APis-7 and common difference is¡Find its 18th term and the general t254 |
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Answer» 18th term = a + (18-1)d= 7+(17)(5)= 7+85= 92. Please hit the like button if this helped you. |
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| 24. |
which Termof apis zero....21,18,15..... |
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| 25. |
the 9th terms ofan APare 4 and8 respectively, which term ofthis APis-zero? |
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| 26. |
Given APis 13 12 10 to 1I terms.115'12 10 |
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| 27. |
1. A traffic signal board, indicating 'SCHOOL AHEAD', is an equilateral trianwitside 'a'. Find the area of the signal board, using Heron's formula. If its perimeter180 cm, what will be the area of the signal board? |
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| 28. |
l of the arch at a distance of 2 m from itsparabola y -Aax. sothe vertex of the parabol. Eind fheequilateral triangle is inscribed in the= 4ax so that oner point of the triangle is at the vertex of the yamdt d hat anlength of each side of the trianLet AOAB be an equilateral trianelegle. |
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| 29. |
110a=-2, d = 0a= 10, d= 10(iii) a = 4, d=-3(v) a =-1.25, d =-0.251 5 9. 13(iii) ,5 3 7(iii)-12,-32,-52,-72, . . . (iv)-10,-6,-2, 2, . . .(v) З, 3 + V2 , 3 + 212, 3 + 3.2, . . .(vi) 0.2, 0.22, 0.222, 0.2222.I xa, a', a', a(xiii) 15.16,49,厄(xv) 12, 52, 72,73,...(VIII)-2,-2 , 2 , 2 ,(x) a, 2a, 3a, 4a, ..(хії) 15.18,./18 ,-32.(xiv) 12, 32, 5,7,..5.3丽TUT amfoa n EA(nth Term of an AP)2S, |
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Answer» Crop only the question that you want a solution for. We will not be able to provide solutions to multiple question. |
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| 30. |
31. If a parallelogram and a square (or a rectangle) stand on the same baseand between the same parallels, then the perimeter of the square (or therectangle) is less than that of the |Igma Tnan equilateral triangle, O is any point in the interior of the trian |
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Answer» 1 2 |
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| 31. |
2lestthe trian |
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Answer» Largest side of triangle pqr is qr=12cm,smallest side is pr = 8 cmqr is greater than pq greater than prangle p is greatest angle and angle r is the smallest angleReason angle opposite to greater side is greater |
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| 32. |
sidesThe sides of aright trianglc are in the ratio of6 :4 and its area is 2028 cm2 .Find hypotenusc, |
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| 33. |
SANTShow that points+ c), B (beta), C ( a + b) are collef if area of trian |
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Answer» The points are A(a,b+c), B(b,c+a), C(c,a+b). If the area of triangle is zero then the points are called collinear points. If three points (x1, y1), (x2, y2) and (x3, y3) are collinear then [x1(y2 - y3) + x2( y3 - y1)+ x3(y1 - y2)] = 0. ⇒ [ a( c + a - a - b) + b( a + b - b - c) + c( b + c - c - a) ] = 0 ⇒ [ ac - ab + ab - bc + bc - ac ] = 0 = 0. ∴ the points (a,b+c), (b,c+a), (c,a+b) are collinear. |
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| 34. |
positive integers as the product of its prime factors: (i) 140 (ii) |
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Answer» i) 140= 2 × 2 x 5 x 7 ii) 156 = 2 x 2 x 3 x 13 |
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| 35. |
Fig. 8.31Show that the line segments joining the mid-points of the opposite sides of aquadrilateral bisect each other.6.7. ARCisa trian |
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| 36. |
10. The number of pairs of relatively prime positive integers (a, b) such thatis ana 15bb Aainteger isA. 1B. 2C. 3D. 4 |
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| 37. |
b) In a school of 300 students, every student reads 5 newspapers and every newspaper isrend by 60 students Find the number of news papers |
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| 38. |
EXERCISE 12.3I. Find the area of the shaded region in Fig 12.19,irPO-24cm, PR 7 m and O is the centre of thecircke |
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Answer» AngleQPR=90 (Traingle formed in the semi circle is of 90°IN Traingle QPRBy pythagoras theorem H^2=P^2+B^2H^2=(7)^2+(24)^2H^2=49+576H^2=625H=√625H=25cmDiameter of circle =25cmRadius of circle= 25/2Area of Semi circle=pie(r)^2=1/2×22/7×25/2×25/2=245.5Area of traingle= 1/2×b×h=1/2×24×7= 12×7=84 Area of shaded region = Area of semicircle -Area of traingle=245.5-84=161.5 cm |
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| 39. |
1A1 + tan4A4. Prove thatsin2ACOS2n I5. Prove that cos0 + sinecose -sine[S. S.1e)cos0 +sine sec20-tan2022- 10)6. Prove that tan ( + θ)-tan(M) 2tan297. If cosθ-1 (a) Show that cos2ng (a2+1)os2n- 10)8, Prove that cosag + sina cos2β cos2β + sift cos299. Prove that 1 + tan0 tan20 sec20TH.= tanAS. S) 10. Prove that l + sin2A - cos2A1 + sin2A + cos2A1 + sin20(1 + tan2S.S11. Prove that 1-sin20-(1-1αηθ |
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Answer» 8 and 4 4 and 8 questions banake bhejo |
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| 40. |
17. A floweristdist buys 100 dozen roses at Rs 2 a dozen. By the time the flowers are deveroses are mutilated and are thrown away. At whatand are thrown away. At what price should he sell the rest thebeds to make a 20% profit on his purchase ?dozen roses are m |
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| 41. |
sin2A45. Prove that COs9-sine[S. S. 651cose +sine Sec20 - tan2A6. Prove that tan ( +θ)-tan (4-0):)tan297. If cosea8. Prove that cosag + sinagcos2β-cos29 + sin2β cos2θ9, Prove that l + tanBtan29= sec2θShow that cos28-( a2 +-2H. S10. Prove that 1 + sin2A +COS2A |
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Answer» 5th 7 and 8 questions |
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| 42. |
9. BD and CE are altitudes of AABC such that BD CEa. Prove that CD - BE[Hint. Prove ΔΟΕ3D ABCE1b. Prove that AABC is isosceles. |
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| 43. |
(ii) If 2 sin θx +-, prove that sin 30+-| x3 +1-0.an)If x2+ ya18. Prove that:1, prove that (3x-4x32+ (3y - 4y)2 -122) |
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| 44. |
96A Text Book of Trigonometry25, If cose+ cosß-3 and sinα + sínß-a, prove thatCOS tInter 85·"24If 2tan - tan , prove that cosa-3+ Seusß2'5 +3cosß27. Ifsinu-4and cosß=5, prove that one value of cos α-B-86528. If sec(φ + α) + sec(φ-α)2seco, prove that coso-V2cos u |
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| 45. |
10. Prove u11. Prove thatis irrationalISED) |
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Answer» Let us assume that 2/√7 is rational number. 2/√7= 2/√7 × (√7/√7)= 2√7/7. ( Rationalising) Now, 2√7/7 = p/q ( as rational no. can be written in the form of p/q=) 2√7= 7p/q√7= 7p/2q Here LHS is irrational but RHS is rational. This contradicts the statement.Our assumption is wrong.2/ √7 is an irrational number. |
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| 46. |
xlog(a+), prove that x3 dey14,prove that x2a+bxах |
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Answer» thanks |
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| 47. |
But this contradicts the fact that is inSo, we conclude that 3V2 is irrational.EXER1. Prove that5 is irrational.2. Prove that 3 + 275 is irrational.3. Prove that the following are irrational |
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Answer» so root 5 is a irrational number |
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| 48. |
(ii)7JF(iii) 6+./2(iv)3. Prove that S+ 3 is irrational.4. If p,q are prime positive integers, prove that Vp+ V5.is aProve that 3+J4 is an irrational number |
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Answer» Lets assume that :√3 + √4 is rational. √3 + √4 = r , where r is rational Squaring both sides , we get [√3 + √4 ]² = r² 3 + 2√12 + 4 = r² 7 + 2√12 = r² 2√12 = r² - 6 √12 = [ r² - 6] / 2 R.H.S is purely rational , whereas , L.H.S is irrational.This is a contradiction.This means that our assumption was wrong.Hence , √3 + √4 is irrational. |
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| 49. |
A tower stands at the centre of acircular park. A and B are twopoints on the boundary of the parksuch that AB (= a) subtends anangle of 60° at the foot of thetower and the angle of elevation ofthe top of the tower from A or Bis30°. The height of the tower is |
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| 50. |
एक पुस्तक को 24 रु० में बेचने पर उतने ही % की हानि होती है, जितना पुस्तक का क्रयमूल्य है।।पुस्तक का क्रयमूल्य ज्ञात कीजिए।ATaf |
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Answer» 60 rupees cost price hoga plz mark as best plz plz plz 30 is the right answer |
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