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. |
ha2.400 in your account and the interest rate is 5%. After how many yearswould you earn240 as interest.certain sum their |
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Answer» Given,Principal amount P = 2400,Rate of Interest R = 5%, Simple Interest SI = 240, Time period = T We know,SI = P*R*T/100240 = 2400*8*T/100T = 240/(24*8) = 10/8T = 5/4 = 1 1/4 Therefore, In 1 year 3 months I will earn Rs 240 as interest on amount of Rs 2400. |
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| 2. |
2 Ca2 DC |
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| 3. |
9 AM is a median of AABC. Prove that AB BC+ CA> 2 AM. |
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| 4. |
8. Sum of the angles of various sectors in pie - diagram is |
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Answer» Sum of angles of various sector in pie diagram is 360°. Reason: Due to circular shape |
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| 5. |
6. A spinning wheel is divided into six sectorsFour of these sectors are white and the remainingare painted black. What is the probability ofgetting a white sector? |
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Answer» as four are white and total sectors are sixhence4/6=2/3 is the probability. |
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| 6. |
0 the tordinates of P.o. 27. Inthe figure given below, twowith centres A and B touchcirclesinceternally. PM a tangent to the circle withntre A and QN Ps a tangent to circle withtres B. If PM 15 cm, QN 12 cm, PA-7 cm, and QB -13 cm, then find therence between the centres A and B ofthe circles.13 cmP- |
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| 7. |
Prove that the bisectors of two adjacent supplementaryanglesincludea right angle |
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Answer» open above image to have a look at the solution it is not blur. |
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| 8. |
44. In a MABC, medians AD and BE are drawn. IfAD 4.2 DAB--anaZ ABE , then the area ofπthe Δ ABC isIAIEEE 2003] |
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| 9. |
18x7126 04.96em12.15, sectors of two concentric circles of radii 7 cm and 3.5 cm are shown. Find the areof the sand , be the areas of sectors OAB and OCD respectively. Then, Al = Area of a sector of |
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| 10. |
016. A circle is completely divided into n sectors in such a way that the angles of the sectorsare in arithmetic progression. If the smallest-of these angles is 8 and the largest 72calculate n and the angle in the fourth sector. |
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Answer» First angle, a = 8°nth angle, an = 72°let the common difference = d sum of angles = 360°⇒ (n/2)[a + an] = 360⇒(n/2)[8+72] = 360⇒(n/2)[80] = 360⇒ 40n = 360⇒ n = 360/40⇒ n = 9 72 = 8+(n-1)d⇒ 72 - 8= (9-1)d⇒ 64 = 8d⇒ d = 64/8⇒ d = 8° a₃ = a + (n-1)d⇒a₃ = 8 + (4-1)×8⇒a₃ = 32 n = 9angle of fourth sector = 32° |
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| 11. |
In a right angled ∆BAC, angleBAC=90, segments AD, BE andCF are the medians.Prove that 2 (AD^2 + BE^2 +CF^2)=3BC2 |
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Answer» Draw right angle triangle ABC, draw medians. AD, BE, CF. Now Join DF.Since D and F are midpoints of sides AB and BC, DF will be parallel to AC and is equal to 1/2 AC. ADF, ABE, AFC are all right angle triangles. LHS = 2 (AD² + BE² + CF² ) = 2 [ (AF² + DF²) + (AB² + AE²) + (AF² + AC²) ] = 2 [ (AB²/4 + AC²/4) + (AB² + AC²) + (AC²/4 + AB²/4) ] = 2 [ BC² /2 + BC² ] = 3 ( BC² ] |
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| 12. |
it) io4. In the given figure, AD, BE and CF are three medians of AABC.Prove that 3(AB + BC+ CA)>2 (ADBE + CF). |
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| 13. |
d) He would say that he was not well9. Mr.George asked her why shefor yesterday'spresentation? |
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Answer» Mr. George asker her why she was absent for yesterday's presentation? |
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| 14. |
13. Two cards are drawn from a pack of cards. What is the chance that atleast one of thecards drawn is an ace. |
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| 15. |
6. In the given quadrilateral OQPR in fig. 4QOR equals(A)120(B) 130(C) 145 |
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Answer» (B) 130° |
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| 16. |
A boy was asked to find 3 % of a sum of money misread the question and found 52% of it. Hisanswer was Rs. 220. What would have been the correct answer? |
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| 17. |
Find the perimeter of ABC if AQ= 3 cm, QB= 8 cmand CP= 6 cm. |
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| 18. |
00 iat ASA congruence rule of a triangle.In the given figure, ABCD & BPQ are the straight lines. If BP -BC & Dal cP.Prove that (1) CP = CD(2) DP bisects CDQ4x |
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| 19. |
5. Two equal chords AB and CD of a circle withcentre O, intersect each other at point P insidethe circle. Prove that :AP CP(ii) BP# DP |
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Answer» Given:AB=CDto prove:PB=PDconst: draw OE and OQ perpendicular on AB and CD respectivelyproof:given AB and CD are two equal chords of the same circle.OE=OQ(equal chords of a circle are equidistant from the center.)now in triangle OEP and OQP,OE=OQOP=OP(common)angle OEP = OQP =90 degree,by constructiontherefore triangle OEP = OQP (RHS congruency)EP = QP (CPCT)also AE=EB=1/2 AB and CQ=QD=1/2CD (the line joining the center of the circle is perpendicular to the chord and bisects the chord.)Now AB = AC implies AE = EB= CQ=QD ....(1)therefore EP-BE =QP - BEEP - BE = QP - QD (FROM 1)BP = PDhence proved |
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| 20. |
In Fig., ABCD is a llgm, CP and BP arethe two externalbisectors of angleCand angleBrespectively, which intersect at P.Prove that angleBPC= 90 |
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| 21. |
5. Two equal chords AB and CD of a circle withcentre O, intersect each other at point P insidethe circle. Prove that:(i) AP CP(ii) BP = DP |
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| 22. |
a)i, b, c are in AP as well as in CG.P, then find theau ofs in G.P, then find the value of ab-c ++a + Ca-b |
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| 23. |
o8x an" bn = 108x a-b where x7. If- 0, prove that a, b, c are ia ca-HP or a,, c are in AP.2 |
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| 24. |
DCcaFig. 7.21E are points on the same side of AB such that< BAD < ABE and < EPA-L DPB(see Fig. 7.22). Show thatat(ii)AD-BEFig. 7,22 |
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| 25. |
íレーFind the capacity of a rectangular. Cistern in litres whose dimensio11.2 m x 6 m x 5.8 m. Find the area of the iron sheet required to make the cistern. |
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| 26. |
Express (-6x²y)(-2/3xz³)(1/4x³y²z) as a monomial and find its value, whenx=1/2,y4/5 and z=1 |
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| 27. |
5. In a A ABC, medians AD, BE and CF intersect each other at G. Provethat4(AD+BE CF) >3(AB +BC + CA) |
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Answer» thanks yrr |
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| 28. |
2 Find the area of the Quadrilateral if the length of the diagonal is 11 em and perpendicu-lars drawn on it are 5 cm and 7 cm. |
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Answer» tq very much |
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| 29. |
If a=2 and b=3, find the value of 17a–5b. |
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Answer» OK better answer |
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| 30. |
40. The given quadrilateral EFGH is a .....(a) Parallelogram(b) Trapezium(c) Concave quadrilateral(d) Convex quadrilateral |
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Answer» convex quadrilateral convex wuadrilateral |
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| 31. |
What is the sum of the measures of the angles of a convex quadrilateral?Will this propertyhold if the quadrilateral is not convex?(Make a non-convex quadrilateral and try!) |
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Answer» thank you very much |
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| 32. |
The diagonals of a rhombus are perpendicular bisector of each other |
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| 33. |
RERCISE 11.2Find the area of each of the following parallelograms3 cm: 4 cm5 cm7 cm |
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Answer» 1)area of parallelogram= base × height = 7×4=28cm^22)area=(5)(3)=15cm^2 |
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| 34. |
ufc sec 0 + tan= X, &,a tan 0 = |
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Answer» sec p = x – tan p squaring both the sidesबर्ग लेने पर sec^2p = x^2– 2* x* tan p + tan^2p sec^2p –tan^2p =x^2– 2* x* tan p x^2– 2* x* tan p – 1 = 0 2* x* tan p =x^2– 1 tan p = (x^2– 1) / 2 x |
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| 35. |
+2d2UHab23. If x=-23. ufc x=the value of -2 X-2a(A) 1 (B)2 (04 (D) none24. A circle drawn with origin as the centre passes(A) 124. Halagathrough the point3.Which of the followingजो बिन्दु ।वृत्त के भीpoints does not lie in the interior of the circle ?o(s(D) noneo(s. |
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| 36. |
ufc sin sin- + cosx=1,G1 |
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Answer» 0.2 is the correct answer value of x will be 1/5. It can be obtained by solving trignomwtric relation. 1/5 is the correct answer |
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| 37. |
+6. ufc wtrae, at I + tan2 x - sec2 x= ?(a) 1(c) 23(d) 0 |
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Answer» cot x = 5/12 Then,Value of 1 + tan^2 x - sec^2x= 1 - (sec^2 x - tan^2x)= 1 - 1= 0 (d) is correct option |
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| 38. |
itestepsfEbnsuutiolndisu27. If x si n° + y cos' θ = sin θ cos θ and x sin θ = y cos θ then prove thatx' + y-1.28 ell sl 1 |
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Answer» xsin³∅ + ycos³∅ = sin∅. cos∅x.sin³∅ + cos²∅.(ycos∅) = sin∅.cos∅use xsin∅= ycos∅ in above xsin³∅ + cos²∅.xsin∅ = sin∅.cos∅ xsin∅( sin²∅ + cos²∅) = sin∅.cos∅ xsin∅ = sin∅.cos∅ x = cos∅ so, y = sin∅ now we know, sin²∅ + cos²∅ = 1 put sin∅ = y cos∅ = x hence, x² + y² = 1 |
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| 39. |
(1) The curved surface area of a cone with base radius 40 cm is 1640 π sq cm. Findthe slant height of the cone. |
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Answer» Here's the answer you are looking for Curved surface area of a cone is = πrl where r = radius = 40cm and l = slant height Substituting the values, 1640 = π (40) (l) l =1640/22/7x40 l = 13cm (approx) |
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| 40. |
ABCD is po-tallelogiam d AP ca ate peapendiculas fiomveatics Ad C on diogonal BDShaw that |
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| 41. |
A point moves so that the square of its distance from the point (3, -2) is numericallyto its distance from the line 5x-12y 13. Find the locus of this point.equal10. |
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| 42. |
n open rectangular cistern when measured from outside is 1.35 mlong, 1.08 m broad and 90 cm deep. It is made up ofiron, which is 2.5crmthick. Find the capacity of the cistern and the volume of the iron used |
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Answer» 10 open rectangular district when measured from outside is 1.35 metre long 1.08 board and 80 CM Deep and is it made of iron which is 1.5 cm find the capacity of the Christian and the volume of the iron used |
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| 43. |
Find the total surface area of a cylinder if the radius of its base is 5 cm and heightis 40 cm.3. |
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Answer» Given:radius= 5 cm.Height= 40 cm. To find: Total surface area of a cylinder. Solution:Total suface area : 2 pi r (r+h).2 × (3.14) × 5 × 45.1413 sq.cm. |
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| 44. |
12. Verify thatx"+y+2-3xz--0---] |
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| 45. |
Q.5. In Fig, POQ is a line. Ray OR is perpendicularto line PQ. OS is'another ray lying between raysOP and OR. Prove that:2 |
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| 46. |
EXERCISE 17A1. Construct a quadrilateral ABCD in which AB 4.2 cm.BC-6 cm.CD-5.2 cm, DA -5 cm6cm, RS=4.3 cm.and AC8 cm. |
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Answer» thank you sir |
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| 47. |
SAGE(cosec A- coto)21-6050It cosĂ |
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Answer» LHS ( cosecA - cotA )² = ( 1/ sinA - cosA/sinA )² = ( 1 - cosA/ sinA )² = ( 1 + cosA )²/ sin²A = ( 1 - cosA )²/ 1 - cos²A = ( 1 - cosA ) ( 1 - cosA )/ ( 1 + cosA ) ( 1 - cosA ) = 1 - cosA / 1 + cosA .°. RHS |
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| 48. |
EXERCISE 11.2Find the area of each of the following parallelogram/3 cm4 cm5 cm7 cm |
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| 49. |
SECTION Am and n are zeroes of the polynomial ax -5x + c, find the values of a and em +n 10 mn.1. If |
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Answer» Like my answer if you find it useful! |
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| 50. |
asech ot 0cosecfâcot 6 (cosec 8+ cot 0) 2. |
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