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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. |
A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller2cones, each of diameter 4cm and height 3cm. Find the number of cones so formed. |
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Answer» Thank you so much buddy. |
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| 2. |
8.The curved surface area of a frustum of a cone is given byb)tyll |
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Answer» Curved Surface Area (CSA) = pi * l(R + r)please like the solution 👍 ✔️ |
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| 3. |
INCERI CALITLARI13. A solid metallic sphere of radius 10.5 cm is melted and recast into a number of smallercones, each of radius 3.5 cm and height 3 cm. Find the number of cones so formedАГрсе отстрату |
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| 4. |
22. A solid metallic sphere of diameter 16 cm is melted and recast into a number of smallercones each of radius 4 cm and height 8 cm. Find the number of cones so formed. |
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Answer» Let the no. of cones be n n = volume of sphere / volume of conesn = 4/3πr³ /1/3πr²hn = 4/3*22/7*8*8*8 / 1/3*22/7*4*4*8n = 45056/21 / 2816/21n = 45056/21 * 21/2816n = 1616 CONES ARE FORMED |
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| 5. |
13. A solid metallic sphere of radius 10.5 cm is melted and recast into a number of smallercones, each of radius 3.5 cm and height 3 cm. Find the number of cones so formed(CBSE 2017, NCERT EXEMPLARI |
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| 6. |
TRY THESEFind: () 7( 6m 21Ooo |
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Answer» a) 7/1 ÷ 2/5 = 7/1 × 5/2 = 35/2b) 6/1 ÷ 4/7 = 6/1 × 7/4 = 42/4c) 2/1 ÷ 8/9 = 2/1 × 9/8 = 18/8 answer for (i) is 35. For (ii) is 21 by 2. For (iii) is 9 by 4 14.8 kilometre is equal to dash metre and dash centimetre A part 14.9 B part 79 point and C part 29 1- 35/22-42/43-18/8 35/2 ,42/4,18/8 is the correct answer 1) 7÷2/5=7×5/2=35/22) 6÷4/7=6×7/4=3×7/2=21/23)2÷8/9=2×9/8=1×9/4=9/4 |
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| 7. |
TRY THESE1. Find angle sin each figure:401)100(iv)120(vi)(vmi) |
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| 8. |
AllsFind the ratio between the total surface area of a cylinder to its curved surface areagiven that its height and radius are 7-5 cm and 35 cm.12. |
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| 9. |
+b+bd - (2) |
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| 10. |
alls ishmarks-heCort itdhave. Act? |
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Answer» The pass marks in the examination will be : 185 + 15 = 200 marks 200 marks are40% of the total marks. 200 = 40/100 * Total marks Total marks = 200 * 100 / 40 = 500 |
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| 11. |
tind the bunrst 2% terms ol the ishM8 |
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| 12. |
The angles of elevation of the top of a touwer from luo o pairtadt distances a and b metres from the base and in the zamestr aight line ith it are comple mentary . Prove that the heighntof the tower i8Jab metres .e top ola towetrom |
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| 13. |
ca0 then (αα + b)-3 + (αβ + b)--c3 3abc3)-ア -Ifo, β are the roots ofar + bx + c1) a -2abcIfo, β are the roots ofar + bx + c-0 then I-a-hi-1) 0b3 3abe2) b3-3abc8.4) (a -b)n+(2) 13) (a +b)B2Ifo, β are the roots ofthe equation 8x2-3x + 27 =0then the value of(9,is2) 1/42) positive2) 14) 44) not determined4)1 +a1) 1/33) 7/23) negative3) 1-a210: "Ifα, β are the roots ofar + bx + c = 0 then (1+α+α)(I+D+β2) is1) zerorfα, β are real and α-β2 are the roots ofa\ +x+1-a2 =0(a>1) then P=1) a211. |
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Answer» Please specify question which is to be answered |
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| 14. |
Hence the matrix is zero when x=-1.1+a a a5./Evaluate :delal 1+a2 a3(la2 1+a3 |
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| 15. |
If ad # bc, then prove that the equation(a2 + b2) x2 + 2 (ac + bd) x + (c2 + d2) = 0 has no real roots. |
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Answer» If you like the solution, Please give it a 👍 |
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| 16. |
12. Prove that the equation x2 (a2 + b2)+2x (ac + bd)(2+0 has no real root,if ad # bc. |
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Answer» It is given: (a^2+ b^2)x^2- 2(ac+bd)x + (c^2+ d^2) = 0 To prove: a / b = c / d PROOF: we know that D = b^2- 4ac b^2= 4ac {-2(ac + bd)}^2= 4{(a^2+ b^2) (c^2+ d^2)} 4(a^2c^2+ b^2d^2+2acbd) = 4(a^2c^2+ a^2d^2+ b^2c^2+ b^2d^2) 2acbd = a^2d^2+ b^2c^2 a^2d^2 + b^2c^2- 2abcd = 0 (ad - bc)^2= 0 ad - bc = 0 ad = bc a / b = c / d hence proved. |
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| 17. |
13.a, b are real numbers. The least value of a2 + ab +b2 - a-2b is |
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| 18. |
2.Find the volume of a cuboid of:Length15 cmBreadth12 cmHeight3 cm(a) |
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Answer» L=60 b= 89 h=50 2.0 |
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| 19. |
A metallic cylinder of diameter 5 cm. and height 3 cm. is melted and cast into asphere.What is its diameter. |
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Answer» tanks a metallic cylinder of diameter 5cm .and height 3 |
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| 20. |
A rectangular piece of paper is having measures 22 cm x 3 cm. It is folded without overlappingto make a cylinder of height 3 cm. Find volume of the cylinder. |
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| 21. |
anate of elevatton of the top of aas e and in the Same streight lineave Comple mentary then the heightf1o. If thedower from two points atclistantes ao ithmentaren the heignt |
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Answer» AB is a tower. D and Care two points on the same side of a tower, BD = a and BC = b. ∠ADB and ∠ACB are the complementary angles. If ∠ADB = x, then ∠ACB = 90 – x In ∆ADB, ………… (1) In ∆ABC, …………....(2) Multiplying (1) and (2), (AB)2 = ab AB = √ab Height of tower = AB = √ab |
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| 22. |
What is the work to be done to increase the velocity of a car from 40 km/hr to 60 km/hr where mass of car is 2000kg? |
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Answer» Explanation : Work to be done = 1/2 * mass * difference of speed * difference of speed = 1/2 * 2000 * (60-40)(60-40) = 1000*400 = 400000 joule Solution : 400000 joule If you find this answer helpful then like it. |
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| 23. |
ind the heignt oi the pedestal.. The angle of elevation of the top of a building from the foot of the tower is 30s andthe angle of elevation of the top of the tower from the foot of the building is 6. Ifthe tower is 50 m high, find the height of the building. |
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Answer» solve this |
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| 24. |
The diameter of the tyre of a car is 70 em.0 How far will the car go in 10 turns of the tyreHow many turns will the tyre take to cover adistance of 1540 m? |
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| 25. |
5.Thediameterof the tyre of a car is 70 cm.(i) How far will the car go in 10 turns of the tyre?(ii)How many turns will the tyre take to cover adistance of 1540 m? |
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Answer» Please like my answer if you find it useful |
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| 26. |
24 157.6mgth of diagonond diagonal.al ofa rhombus whose area 216 sq, cm. is 24 cm. Then find theloor of a building consists of 3000 tiles which are rhombus shaped. The diagof the tiles are 45 cm and 30 cm. Find the total cost of polishing the floor, i2.50.umference of a circleing with a cycle tyre. She is rotating the tyre with a sticklong with it.istance covered by tyre in one rotation?one rotation is equal to the length |
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| 27. |
A tyre moves faster when it is__ |
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Answer» Push bikes with larger wheels can gofasterthan the ones with smaller wheels because the radius ofthe wheelis larger they are also more stable at higher speeds |
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| 28. |
6.In a AABC,LA +ZB = 65°,2B + 2C = 140°. Findthemeasure ofeach angle ofthetriangle. |
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Answer» sum of angle of triangle should be 180° => A+B+C = 180°=> 65° +C = 180°..... ( A+B = 65°)=> C = 180°-65° = 115° now angle B +C = 140°=> B = 140° -C = 140-115 = 25° so angle A = 65-B = 65-25 = 40° sukriya.. |
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| 29. |
2.10 Write a short paragraph in about 75 words on The need of rainwater harvesting |
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Answer» We have need of rain water harvesting because there is a lot of waste of water so we should need rain water harvesting.It is a system of using rain water. This system is done in underground. So, we has so need of rain water harvesting |
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| 30. |
3. The diameter of a metallic ball is 4.2 cm. What is the massof the ball, if the densityofthe metal is 8.9 g per cm3? |
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| 31. |
2) For rain water harvesting tank of length 12m, breadth 5mand depth 4m is build. what is the capacity of tank?How many liter of water can hold? |
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Answer» area of the tank = 12 ×5 × 4 = 240 m square.1 m square = 1000 litre 240 m square = 240 × 1000 = 240000 litre. |
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| 32. |
l the values of x and y using themation shown in figure 3.37.the measure of ZABD and mZACD60° |
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Answer» x = 50° ( when opposite sides are equal then opposite angle are equal) Similarly,y = 60° ( when opposite sides are equal then opposite angle are equal) So, angle ABD = 60° + 50° = 110° angle ACD = 60° + 50° = 110° |
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| 33. |
mation : i A3x+2y=2x-3y= v |
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Answer» Please hit the like button if this helped you thank you |
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| 34. |
Me Sum UI LWVU IHLYTO..The difference of an integer a and (-6) is -1. Find the value of a. |
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| 35. |
3. There are some 25 paise coins and some50 paise coins in a bag. The total number ofcoins is 100 and the amount in the bag is42.50. Find the number of coins of eachvalue in the bag, By Eli mation metho |
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| 36. |
Q5.Solve the following:-3ăŽ2(imi) |
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Answer» a) 2 - 3/5 = 10-3/5 = 7/5 b) 4 + 7/8 = 32+7/8 = 39/8 c) 3/5 + 2/7 = 21+10/25 = 31/35 |
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| 37. |
The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per cm3? |
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Answer» Volume of metallic ball =4/3 pi.r^3=4/3 x 22/7 x (4.2/2)^3=4/3 x 22/7 x 2.1 x 2.1 x 2.1=38.808 cm^3now,density =mass/volume8.9 g/cm^3=mass/38.808 cm^3mass =38.808 x 8.9 g=345.39 g |
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| 38. |
3. The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density otthe metal is 8.9 g per cm3? |
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Answer» thanks |
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| 39. |
(4) Solve the following equations3x-52x+3(imi)(111)21(4x+D)+(2x+3) 61+12x+9v)=4x236 |
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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 questions. ok |
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| 40. |
solve the following :√3√3√3√3√3 |
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| 41. |
Find the values of x and y in the following figures.7013050imi) |
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| 42. |
Two dice one red and one white, are thrown at the same time. Write down all the possible outcomesWhat is the probability that the sum of the two numbers appearing on the top of the dice is (P.S)0 8ii) 13imi) less than or equal to 12? |
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Answer» Thanks |
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| 43. |
213AREAS AND VOLUMESEXERCISE 13.1A plastic box 1.5 m long. 1.25 m wide and 65 cm deep is to be made. It is opentop. Ignoring the thickness of the plastic sheet, determine: The area of the sheet required for making the box.(i) The cost of sheet for it, if a sheet measuring imi costs Rs 20. |
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| 44. |
what percent is 55m of 1km |
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Answer» Suppose x% of 1 km is 55 m 1 km = 1000 m 55 = x*1000/100 = 10x x = 5.5% If you find this answer helpful then like it. |
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| 45. |
2. Attempt the following:[2 marks each(1) Find the value of 32 sin 54°cot 18ocos 36°Ans. |
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Answer» tan 72° sin 54°3 × ----------- - 2 × ---------- cot 18° cos 36° tan (90-18)° sin (90 - 36)3 × ------------------ - 2 × --------------- cot 18° cos 36° cot 18 cos 36°3 × ----------- - 2 × ---------- cot 18° cos 36° 3 × 1 - 2 × 1 3 - 2 1 |
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| 46. |
Solve the following2 x^{2}=3 x |
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| 47. |
Find the following squares by using the following identities:\left(a^{2}-b^{2}\right)^{2} |
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| 48. |
2874Write the coeficients ofin each of the following:2 + x² + x2 - 2 + x322 - 1 |
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| 49. |
78202. Represent the following num(i) - 5A) se(ii) - 1(iii) 2the following (using number line):& Find the sum of the following (using numbe(i) -2 and 4(i) 4 and 5(iii) - 2 and - 4(v) – 3 and -1 (vi) 2 and - 7(vii) - 2 and 54. Find the sum of the following:4 and - 6(i) - 7 and - 5 (iii) 6 anda( 6 and 7 (vi) -2 and -9 (vii) 3 and 2(ix) - 5 and 3 (x) 5 and - 35. Write the absolute value of each of the following(1)-2(ii) 6(iii) - 34(iv) - 626. Write the additive inverse of:(1) - 2 (ii) 6 (ii) 77. Compare - 2. - 3 and 4. - 6 using number line.(iv) - 7(i) -(vii) 240CLIDT |
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Answer» , 2 ans -13 ans =2and -5 4ans =-7and -85ans=66ams=7 |
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| 50. |
Fill in the blanks6136525 12g|81 18 |
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Answer» 3 x 4 =12; 3 x 6 =18 8 is the correct answer 8 is the answer of the following 15 is the right answer 25=2+5=7=7+5=1281=8+1=9=9+9=1836=3+6=9=9+6=15so,15 is the answer. 8 is the correct answer 15 is the best answer 8 is the best answer of the following question 15 is correct answer 15 is correct answer your correct answer frale |
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