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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. |
If the ratio of mean and median of a certain data is 2:3, then find the ratio of its modeand mean1. |
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Answer» Thanks |
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| 2. |
2 If the ratio of mode and median of a certain data is 6:5, then find the ratio of its meanand median. |
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| 3. |
1. In the figure, Q is the centreof the circle and PM and PNare tangent segments to thecircle. If ZMPN = 40°,find ZMON. |
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Answer» nice, all members wrote correctly Given, angle MPN=40 degreePM and PN are tangentsSince PM and PN are Tangents, angle QMP=90 degreeangle QNP=90 degreeIn quad. QMPN, angle(MPN+PNQ+NQM+QMP)=360 degree (sum of all angles of a quad. is 360 degree) or 40+90+90+MQN=360 degreeso, angle MQN=140 degree. MNQP IS QUADRILATERAL SO ITS SUM OF ALL ANGLES IS 360 ,AND ANGLE MAND ANGLE N IS 90 DEGREE SO 180 AND 40 so 220degree and 360 -220 IS OUR ANGLE Q SO IT IS 140 degree |
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| 4. |
रण 15 : उ* - 232 + 142: - 120 का गुणनखंडन कीजिए।s N SR R o . & |
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| 5. |
3. In adjoining figure 1.14seg Ps I seg RQ seg QT I seg PR.If RQ = 6, PS = 6 and PR = 12.then find QT.Fig. 1.14 |
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| 6. |
3. Attempt the following:13 marks6 cm16 cmIn the figure, O is the centre of the circleAB F 16 cm, CD-14 cm. seg OM l seg AB,seg ONLiegCD. IfOM-6cm,then find ON,Ans. |
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Answer» PLEASE LIKE IT, IF YOU FIND THE ANSWER HELPFUL. |
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| 7. |
3. Attempt the following13 marks eachOTAMS is a square. seg AWseg AN, then provethat seg SWseg SN.Proof: |
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| 8. |
Calculate the rate of depreciation:By SLM method:Q1.The Asset purchased as on 31 March 2014, the cost of Asset was 350000 Rs, The installationcharges incurred were 50,00D. The residual value of the Asset was 50,000 Rs. and useful life of theAsset is 5 years calculate the rate of depreciation |
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Answer» Ans :- The straight line calculation steps are: Determine the cost of the asset. Subtract the estimated salvage value of the asset from the cost of the asset to get the total depreciable amount. Determine the useful life of the asset. Divide the sum of step (2) by the number arrived at in step (3) to get theannual depreciationamount. |
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| 9. |
9.B80In the given figure, O is thepoint in the interior ofZABC. OM and ON are theperpendiculars to AB andBC respectively.If ZB = 80°, find ZMON. |
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| 10. |
25)(-—2.5¢ ी 4 थX की |sk ; (p |
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Answer» 2x+3y=45x-3y=10Add equations7x=14; x=2y=4-4=0 |
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| 11. |
A Sk |
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Answer» it is wrong |
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| 12. |
RF pod mode香08 the followingirnmode 1os the10-2.5 -0-5 55-1o 10-8 s-106ろ!구 |
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| 13. |
500Distancespeed.Tinae ?SK5 Km noFormula-Spec |
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Answer» Time = 100hrs ok time=distance /speed =500/5 =100 hr 100 hours is the correct answer distance covered in 100 hrs |
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| 14. |
3. Seg PM and seg PN are congruent chords of a circle with centre C. Show that the rayis the bisector of ENPM. |
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| 15. |
and mode of the following datand7median and mode of the following dote65 75 75-55s 9510545 55 55 6517301232 |
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| 16. |
7. A container is one fifth full of water. If 40 litres of water is required to filli(2014completely, then what is the capacity of the container?(1) 40 litres (2) 45 litres (3) 50 litres (4) 60 litres |
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Answer» Answer: 3)50 litersExplanation:if 1/5 is filled already 4/5 is remaining. 4/5 = 40. so 1/5 = 10. 5/5 = 50. |
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| 17. |
Divide Rs. 142.20 between Gagan and Mukesh in the ratio1/4 : 1/5. |
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Answer» x/4 + x/5 = 142.20 9x = 2844 x = 316 Gagan's part = 316/4 = 79 rupees Mukesh's part = 316/5 = 63.20 rupees |
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| 18. |
,3. Distribute 45 chocolates between Madhu and Pradeep in the ratio-:-.1/4 :1 / 6 |
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| 19. |
21. P, Q, R, S are respectively the midpoints of thesides AB, BC, CD and DA of llgm ABCD. Showthat PQRSis a parallelogram and also show that'SP.ar( 11gm PQRS) =× ar( 11gm ABCD).?2 |
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Answer» thanks |
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| 20. |
134. If the ratio of the diameters of tworight circular cones of equal heightbe 3 4, then the ratio of theirvolumes will be(A) 3:4(B) 9:16(C) 16:9(D) 27 64 |
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Answer» Option B |
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| 21. |
8. Distribute 45 chocolates between Madhu and Pradeep in the ratio:1/4:1/6 |
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| 22. |
17. The surface areas of two spheres are in the ratio 1:4. Find the ratio oftheir volumes. |
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| 23. |
16. A bicycle wheel makes 5000 revolutions in moving 11 km. The diameter of the wheel (in cm) is(c) 65(a) 35(b) 55(d) 70 |
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Answer» 5000 revolutions=11000 m1 revolution=11000/5000 mcircumference=11/5 m2πr=11/5πd=11/522/7×d=11/5d=11×7/(5×22)d=11×7/110d=7/10 md=0.7 md=0.7×100 cmd=70 cm |
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| 24. |
28. P. Q, R, S are respectively the midpoints of thesides AB, BC, CD and DA of lgm ABCD. Showthat PQRS is a parallelogram and also show thatSK-->ar(ligm PQRS) = 2 x ar(11gm ABCD). |
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Answer» thanks okk |
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| 25. |
(1) O is the centre of a circle in which seg AB and seg ACare congruent chords. Radius OP is perpendicular tochord AB and radius 00 is perpendicular to chord AC.If LPBA 30°, show that seg PB is parallel to seg QC. |
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Answer» Answer: The proof in explained below. Step-by-step explanation: Given, O is the centre of a circle in which segment AB and segment AC are congruent chords. radius OP is perpendicular to chord AB and radius OQ is perpendicular to chord AC. We have to prove that segment PB is parallel to segment QC Lets do first construction join OC, OB and BC so that OC and OB becomes the radius of circle. We have to prove that PC and BQ makes the straight line so that we can prove the alternate opposite angles that are ∠QCP and ∠CPB equal in order to prove PB||QC. AC=AB ⇒ ∠ACB=∠ABC OC=OB ⇒ ∠OCB=∠OBC ⇒∠ACB-∠OCB=∠ABC-∠OBC ⇒ ∠5=∠6 In ΔOXC and ΔOYB ∠1=∠2 (∵each 90°) ∠5=∠6 (proved above) OC=OB (∵radii of same circle) By AAS rule, ΔOXC≅ΔOYB By CPCT, ∠2=∠1 i.e vertically opposite angles are equal. Hence, CP and BQ are striaght lines. In ΔOCQ and ΔOPB OQ = OB (∵radii of same circle) OC = OP (∵radii of same circle) ∠1=∠2 (proved above) Hence, by SAS rule, ΔOCQ≅ΔOPB By CPCT, ∠OCQ=∠OPB But these are alternate angles ⇒ PB||QC |
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| 26. |
< MNP = 90°,In figure 2.17,seg NQ Iseg MP, MQ = 9,OP = 4, find NQ2.Fig |
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Answer» thanks sir, for giving ans hey you are of 8 std |
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| 27. |
15. In a trapezium ABCD,seg AB l| seg DCseg BD丄seg AD,seg AC丄seg BC,IfAD = 15, BC= 15and AB = 25. Find A15AlABCD)25Fig. 2.34 |
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| 28. |
In figure 3.49, <RST-56ă, seg PT1 ray ST,seg PR L ray SR and seg PR seg PTFind the measure of RSPState the reason for your answer.Fig. 3.49Dind out the greatest and the |
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Answer» In ∆ PTR and ∆PRS∠R = ∠T ( 90°)PS = PS ( common)PR = PT ( given)By RHS rule ∆ PTR and ∆PRS are congurent.So, ∠RSP = (∠RST)/2 = 56°/2 = 28° ( By CPCT) |
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| 29. |
n adjoining figure 1.14seg PSL seg RQ seg QTl seg PR.If RQ 6, PS 6 and PR 12,then find QT.Fig. 1.14 |
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| 30. |
A shopkeeper sold 300 pieces of an item at aprofit of 15%. If the cost of one item is Rs.12,find the selling price of the items |
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Answer» One item of 12 so 300 are of 300×12 = 3600 CP = 3600 Profit = 15% so SP = 3600*1.15 = 4140 |
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| 31. |
Prample 15: ATV was bought at a price of t 21,000. After one year the value of theTV was depreciated by 5% (Depreciation means reduction of value due to use and age ofthe item). Find the value of the TV after one year |
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Answer» Cost price of TV = Rs 21000Depreciation = 5% after one year Depreciation =(5/100)×21000=Rs 1050 Value of the TV after one year = 21000 - 1050 = Rs 19950 |
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| 32. |
a) 5o) To19. The mean of 10 items of a data is '7' and if each item is increased by '3' then themean isa) 5b) 10c) 15d) 20 |
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Answer» The mean of 10 items of a data is 7if x is the mean of some observationand it is increased by a"then total mean will be x+aso as it is being increased by 3mean will be(7+3)= (x+a)here x= 7 and a = 3so it will be 10Please like the solution 👍 ✔️ |
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| 33. |
The ratio of volume of two cones is4: 5 and the ratio of the radii of theirbase is 2: 3 then ratio of their verticalheights is |
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Answer» Let the radius be r1: r2 =2x: 3x V1: V2= 4x:5x Height be h1 & h2 [ Vol . Of cone=( ⅓)π r²h] 1/3π r1²h1: 1/3πr2²h2= 4x:5x r1²h1:r2²h2=4x:5x r1²h1/ r2²h2=4x:5x [ r1: r2=2x:3x] ( 2x²)h1/(3x²)h2 =4x:5x 4h1/9h2=4:5 V1/V2 4h1/9h2= 4/5 h1/h2= (⅘) × 9/4 h1/h2= 9/5 h1:h2= 9/5 Hence, the ratio of heights of the two cones are(h1:h2)= 9:5 |
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| 34. |
27. The base radii of two circular cones of the same height are in the ratio 3:5 Find the ratioof their volumes |
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| 35. |
A dozen is equal to 12. If you buy 13 dozen of bananas, how many bananas didyou buy? |
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Answer» Total = 12*13 = 156 bananas |
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| 36. |
5, if the volumes of two cones are in the ratio of 1 : 4 and their diamoetsare in the ratio of 4:5, find the ratio of their heights.mountain is 2.5 km and the area of its ho |
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Answer» para answer do |
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| 37. |
many dozen apples aiu lle sel32, in how many years will a sum of money triples itself at 8% P.a simple interest?int rontrart money of Rs.4800 on th |
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Answer» Let sum of money is P after T years , sum of money will be 3P as according to question, rate per annum = 8 % we know, SI = P × R × T /100 = P × 8 × T/100 final sum of money = simple interest + initial sum of money 3P = SI + P 2P = P × 8 × T/1002 = 8T/100 T = 200/8 = 25 hence, after 25 years sum of money will be triple itself . |
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| 38. |
The 35th term of an Đ.Đ. is 69. Findsum of its 69 terms |
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| 39. |
The 35th term of an A.P. is 69. Find thesum of its 69 terms. |
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| 40. |
Ex. 5. In a stream running at 2 km/hr, a motor boat goes 10 km upstreamandback again to the starting point in 55 minutes. Find the speed of themotorboat in still water. |
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Answer» Let the speed of the boat in still water be x km/hr. Speed down stream =(x+2)km/hr Speed upstream =(x−2)km/hr Time taken to row 10 kms and back = =(10x+2+10x−2)hr 10x+2+10x−2=5560 12×10(x+2+x−2)=11(x2−4) 11x2−240x−44=0 (x−22)(11x+2)=0 x-22 = 0, x = 22 Speed of the boat in still water = 22 km/hr. |
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| 41. |
ही 50, के साथ और कौन सा 3 ८] |'S0, ]कि |
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Answer» Ans :- Oleum is mixture of H2SO4 and SO3 gas. Oleum is madeby dissolving Sulfur Trioxide into Sulfuric Acid. Sulfur Trioxide ismadefrom Sulfur Dioxide in the presence of a catalyst. It is used in the oil refining process to make crude oil distillates into higher quality materials. |
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| 42. |
04z-3 7S0 5 |
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| 43. |
. ABC is a triangle in which AB AC. The base Beis produced to D and ZACD 1309. Then, LAequals(1) S0(2) 60°(3) 50°C D(4) 40° |
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| 44. |
ă§é.three- nth equted imum bees : P19, ar etre rm H.p.amd the sqare |
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Answer» thanks |
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| 45. |
13. How can you divide any triangle into four congruent triangles?14. How can you divide any equilateral triangle into three congruen |
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| 46. |
A bicycle wheel has a diameter 90 cm, how many times would the wheel rotate to cover a distance of 4.4 km. |
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| 47. |
prove that three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians of the triangle |
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| 48. |
Prove that three times the sum of the squares of the sides of a triangle is equal to four timesthe sum of the squares of the medians of the triangle.17. |
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Answer» Apollonius theorem states that the sum of the squares of two sides of a triangle is equal to twice the square of the median on the third side plus half the square of the third side. Hence AB²+ AC²= 2BD²+ 2AD² = 2 × (½BC)²+ 2AD² = ½ BC²+ 2AD² ∴ 2AB²+ 2AC²= BC²+ 4AD² → (1) Similarly, we get 2AB²+ 2BC²= AC²+ 4BE²→ (2) 2BC²+ 2AC²= AB²+ 4CF²→ (3) Adding (1) (2) and (3), we get 4AB²+ 4BC²+ 4AC²= AB²+ BC²+ AC²+ 4AD²+ 4BE²+ 4CF²3(AB²+ BC²+ AC²) = 4(AD²+ BE²+ CF²) Hence, three times the sum of squares of the sides of a triangle is equal to four times the sum of squares of the medians of the triangle. |
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| 49. |
In an isosceles triangle, ench base angle is four times its vertical angle. Find each angle of thetriangle20.21. The ratio between the base angle and the vertical angle of an isosceles triangle is 2:5. Find eachangle of the triangle.In the given figure, AABC is an equilateral triangle whose side BC has been produced idirections to D and E respectively. Prove that LACD2.LABE. |
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Answer» i dont know sry i will tell you later |
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| 50. |
10. Prove that the line segments joining the middle points of the sides of atriangle divide it into four congruent triangles. |
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