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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. |
diagonals or a parallelogram ABCD intersect at O. Through O, a straight line illel to AB to meet AD in P and BC in Q. Prove thatand Q are mid-point of AD and BC respectivelyrea of Δ。AB =-area of parallelogram ABCD4 |
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| 2. |
ullyles of a paralleloorExample 10 : Diagonals of a parallelogram ABCD intersect at O, XY coO and X, Y are points on opposite sides of the parallelogram.Give reasons for each of the following statements:(ii) OB = OD(iv) ΔΒΟΥ ADOX(iii) zBOY = <DOXNow, state if XY is bisected at O |
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| 3. |
tion & Olympiad ExplorerExample 3solve the equation12. Simple Equations1t +3 4solution:t+34ultiplying both sides by 4(t + 3), we have4+3)x+543(5%-6)+2-4х.i) Solve4Solution: |
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| 4. |
TO e cost pricc of 15 spoons. Find the loss per cent9, Mano purchased a video for 12000 HeRakesh at a loss of 5%, what did Rakesh pay for it?sold it to Rahul at a gain of 10%. If Rahul sells it to |
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| 5. |
ABCD is a parallelogram in which bisectors of angles B and C intersect at P Shauthat <BPC=90° |
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| 6. |
54. The solution of x - y 0,2x - y = 21 x=13:1 2. x=27=23.x = 3,7 =34. x= 4, y = 4 |
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| 7. |
The solution of equation 3(2 x-3)+\frac{1}{2}(2 x-5)=\frac{5}{2} isa. x=2b. x=1c. x=3d. x=4 |
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| 8. |
8y + 3 = 27 + 2y |
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| 9. |
Factorise : 8y^3-125x3 |
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Answer» 8y*y*y - 125x*x*x = (2y-5x)(4y*y+10xy+25x*x) |
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| 10. |
(3x+4y)(3x-8y) |
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Answer» (3x+4y) (3x-8y)=3x(3x-8y)+4y(3x-8y)=9x²-24xy+12xy-32y²=9x²-32y²-12xy |
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| 11. |
-8y+21=10y-3 |
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| 12. |
2. Factories: y2-8y+16 |
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| 13. |
L R e. — i1 1चीये ापेलषां 100 जवबोडनोना AR Rzl wets 148 छे, तो ूटती, जाूत्तिओे, /, तथा £, A100-149 | 150-199 | 200249 | 250299il 20 15 7~h 2 300-349 |
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| 14. |
Factorise : 125x +8y'+z-30xyz. |
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| 15. |
लिए रैखिक समीकरण युग्म 2: + न 8 और »+./ 6 का कोई हह 15 वाला»... >2 के अनुसार चल रहा है | दूसरा मोटर साईकिल वालाचल रहा है उनके चलने की दिशा ज्ञात कीजिए |i1ते करो जिसके लिए रैखिक समीकरण युग्म 3: + 2y=-53Rx-ky '7 & &) |
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| 16. |
1 Construct the angles of the following measurements30(i1) 22(in) 15 |
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| 17. |
हल करें (501४८ (06 101५7:3% 3x =—_— (i1) x (2(i1) 45 Mle |
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Answer» thanks |
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| 18. |
5. In a parallelogram ABCD, ZA = 70°, find all the other angles. |
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Answer» In a parallelogram, the opposite angles are equal. So, angle A = 70° that is equal to angle C. Angle C = 70°... A + B = 180° (Because the adjacent angles are supplementary in a parallelogram) 70 + B = 180B = 180 - 70B = 110° Angle B = angle D (Opposite angles are equal in a parallelogram) Therefore, A = 70° , B = 110° , C = 70° and D = 110°. 110tdhjen hehe sue Dyer sube is 110 the other angle b is 110°and angle c is 70°d=110° A=70° the equal to angle C=70, A+B=180; 70+B=180, B=180-70=110°, A & C = 70°, B & D = 110 As we know that in parallelogram, opposite angles are equally. So if angle A is 70° the opposite angle C is 70°. As we know that adjacent angles are supplementary (180°) in a parallelogram. So let the angle B be x=>70°+x=180°=>x=180°-70°=>x=110° Angle B=Angle D(opposite sides). Thus,Angle B=110°,Angle C=70°and Angle D=110°. 70°,110°,70°,110 ° is the correct answer of the given |
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| 19. |
23.) The diagonals of a parallelogram ABCD intersect at O. A line through Omeets AB at X and CD at Y. Show that ar (igm AXYD) ar (gm ABCD)4 |
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| 20. |
of the remaining card-boĂĽrl.9. The following figure shows a square card-board ABCD of side 28 cm. Four identicalcircles of largest possible size are cut fromthis card as shown below.20 |
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Answer» Radius of circle = 28/4 = 7 cm. Area of shaded region = Area of square - Area of 4 circles= 28*28 - 4π(7*7)= 28*28 - 28*22= 28*6= 168 sq cm |
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| 21. |
Can coal, petroleumand natural gas beprepared in thelaboratory from deadorganisms? |
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Answer» Ans :- No,Coal Petroleum and natural gasescannot bepreparedinlaboratory from dead organismbecause it take millions of year. No, Coal and petroleum cannot be prepared in the laboratory from dead organisms because it takes millions of years in the formation of coal and petroleum. |
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| 22. |
Solve the following equations: (4\frac{3 x}{2}+\frac{2 y}{3}=\frac{40}{3} ; \frac{2 x}{3}+\frac{3 y}{2}=\frac{25}{3} |
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| 23. |
Which among the following is a greater fraction 15/28 or 37/64- |
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Answer» In order to find greater fraction of 15/28 and 37/64 both should have same denominator. Take LCM of 28 and 6415/28 = 15*16/448 = 240/448 37/64 = 37*7/448 = 259/448. Therefore, 37/64 is greater than 15/28 |
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| 24. |
16x + 7y-11-0; 5x + 2y= |
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| 25. |
- Find the zeroes of the following polynomialby factorisation method and verify therelations between the zeroes and theircoefficients(1) 7y - Y- (ii) 13x? +10x +713(11) 413x² + 5x – 213 CBSE 2011 |
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| 26. |
Solve : 2x + 7y-5= 0;-3x + 8y =-11 |
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Answer» 2x+7y=5....1...*3and -3x+8y=-11....2...*2Hence the equations will be6x+21y=15-6x+16y=-22hence add the equations37y=-7y=-7/37Henceput in equation 12x-49/37=52x=5+49/372x=234/37x=117/37 |
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| 27. |
16x + 7y-11=0; 5x + 2y = 13 |
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| 28. |
solve:2x+7y-5=0-3y+8y=-11 |
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Answer» 2x + 7y = 5 -3x + 8y = -11 6x + 21y - 6x + 16y = 15 - 22 37y = -7 y = -7/37 2x - 49/37 = 5 2x = 5 + 49/37 = 234/37 x = 117/37 |
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| 29. |
d)Solve the following equations and verify your answers.(2) 2 + 2 =12(a by + 1 + 1 = 7y - 3(h) 0.6x +0.8 = 0.28xni 11 |
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Answer» x/2+x/4=12(2x+x)=12×43x=48x=16 ans. a)x=16b)x=-6d)y=-15\4 is the right answer the X/2+X/4=12=2x+X=483x=48X=16 X/2+X/4=12=2x+X=483x=48X=16 a)x=16b)x=-6d)y=-15/4 is the best answer X: 9.79 bro this is the right answer x is equal to 16x is equal to -6y is equal to -15/4is the correct answer x/2+x/4=12=2x+x=483x=48x=16 is the best answer. |
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| 30. |
solve the following equations and check your answer 4(2y-3)+5(3y-4)=14 |
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Answer» 8y - 12 + 15y - 20 = 14 23y = 14 + 32 = 46 so y = 46/23 = 2 |
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| 31. |
Solve each of the following equations and also verify your solution.4 |
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| 32. |
7. A borrowed amount of 4000 amounts to5400 in 5 years. How much will560°amountto in 3 years at the same rate? |
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| 33. |
1. Ad B together have 1210. I1 15 of A's amount is equal to 3 of B s amounthow much amount does B have? |
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| 34. |
dUU UI WC SUL ZILU.If in a gm ABCD ZA-(2x +45) and ZC = (3x - 15), find all the angles.SECTION -C |
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Answer» as we know the sum of adjacent sides of parallelogram is 180 < A + < B= 180 = 2x + 35 + 3x -5= 180 = 5x + 30= 180 = 5x= 180-30 = 5x= 150 = x= 150/5 = x= 30 <A = 2x + 35 =2*30 + 35= 60+35 =95° < B= 3x - 5= 3*30 -5 = 85° as we know opposite angles f paralellograms are equal. then <A =<C= 95° <B = <D= 85° |
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| 35. |
LUL2. Sheela deposits 5000 in post office and afterone month she withdrawn 3700. If withdrawnamount is written as negative then depositedamount is shown as? After withdrawn how muchamount shall be balance in the account? |
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Answer» Balance=5000-3700=1300rs |
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| 36. |
is the largest amongand |
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Answer» -3/5 is the largest among all and the answer is true. |
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| 37. |
471t4. When teams of same size are formed from three groups of 512, 430 and 489 students separately, IS, 10 and 9 students respectively are left out. What could be the largest size of the team?(a) 6(b)) 12(c) 18(d) 20 |
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| 38. |
2) The largest fraction among(a)(b)IS24 |
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Answer» 1/2=0.52/3=0.673/4=0.751/5=0.20 Therefore, the largest fraction is 3/4 |
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| 39. |
gt लिन 'कत०वot | anb |
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Answer» thanks |
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| 40. |
ai. Determine the height of the wall.4An electric pole is 10 m high. A steel wire tied to top of the pole is affixed at a point45e with theon the ground to keep the pole up right. If the wire makes an angle ofhorizontal through the foot of the pole, find the length of the wire |
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| 41. |
x-1y-2Find whether the following pairs of equations are consistent or not by graphical method. If consistent,solve them. (23- 25)23.x-2y = 624. 5x+3y- 125, 4x + 7y=-11 |
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Answer» identify equation are linear or not |
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| 42. |
12. Find the values of a, b, c and d from the following equations4 -35c - d 4c 3d11 24 |
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| 43. |
Solve the following pair of equations by substitution method2x+3y = 112x-4y =-24 |
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| 44. |
A mason has to fit a bathroom with square marble tiles of the largest possible size. Thesize of the bathroom is 10 ft. by 8 ft. What would be the size in inches of the tile requiredthat has to be cut and how many such tiles are required?18. |
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Answer» 6inches and 725tiles 6inches and 725tiles 20 tilesnjatxoqpisuuw but you don't know answer you asked to me |
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| 45. |
The weight of a ring is 2y gm, that of a necklace is (3y-4) gm and that of abangle is (2y +7)gm. If the total weight is 45 gm, find the weight of each. |
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Answer» add all the weights2y+3y-4+2y+7=457y+3=457y=42y=6hence ring is 2y=2*6=12gmnecklace=3y-4=3*6-4=14gmbangle is 2y+7=2*6+7=19gm |
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| 46. |
4. An athlete runs on a circular track of radius metres with a uniform speed andcompletes one revolution in seconds. Calculate the distance and displacement in:a) 12 sb) SU 43 |
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| 47. |
steel wire tied to the top of an electric pole is affixed at a point on the ground at a distance of 5m from the foot of the pole. If the wire makes an angle of elevation of 60 find the length of the wire. |
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Answer» tq akka |
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| 48. |
।तुंग का , ८००-१२ ।।1) रिला विनाविप का प्रयोग करकेवि कतिD || २, ५१) ५०१ , ५63\\) ५ 75के बीच३) भ.८१ १ •८' वताय गअप को नत प्रयोग में |
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Answer» hi it's family time and I don't know what I want to listen to me and my daughter is a very good to know you are bhai English me ask Karo question |
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| 49. |
(23el — 1P जि= AP D 1 |
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Answer» {7/5 * (-3/12)} + {7/5 * 5/12} = 7/5 ( - 3/12 + 5/12) = 7/5 {(-3 + 5)/12} = 7/5 * 2/12 = 7/5*6 = 7/30 |
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| 50. |
(3३ न 29 - 5P + (3x — 4y + 1P =0 |
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Answer» (3x + 2y - 5)^2 + (3x - 4y + 1)^2=09x^2 + 4y^2 +25 +12xy -20y -30x +9x^2 +16y^2 + 1 -24xy -8y -6x=018x^2 +20y^2-12xy -36x -28y+26=0 sum of the squares are zero so they are individually 0 |
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