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. |
12. In an isosceles right triangle, if the hypotenuse is 5/2cm. then find the length of thesides of the triangle. |
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| 2. |
Find the area of an isosceles right triangle if one of the right sides is 20 cm long. |
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| 3. |
4. Calculate the size of each lettered angle in the following figures:60%10811615I2iv)65°12675*5%8742 |
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Answer» The fourth one also |
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| 4. |
The perimeter of an isosceles right triangle is 5(2+\sqrt{2}) cm. Find its area. |
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the isosceles right triangle has area 8cm2.find the length of this hypotnes. |
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| 6. |
he volume of a cylinder is 448 π cm^3 and height 7 cm. Find its lateral (curved) surface area and totalsurface area. |
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| 7. |
The radius of a solid hemispherical block is 7 cm. Find its(a) curved surface area(b) total surface area(c) volume |
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Answer» surface areaof ahemispherethen 2 π r2 total surface area =3πr² volume = 2/3πr³ put the value of r in the formulae and find the solution |
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| 8. |
1. Find the curved surface area and total surface area of a cylinder, the diameter iwhose base is 7 em and height is 60 cm. |
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| 9. |
f=mv^2/r |
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| 10. |
25. IH the square of the hypotenuse (in cm) dan isosceles right triangle is 200 then thelength of each side will be(a) 15 cm(c) 10 cm(b) 200 cm(d) of these |
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| 11. |
9. Solid Figures15.The number of cubes of edge 10 cm that can be placed in a cube ofedge 1 m is(A) 10(B) 100(C) 1000(D) 16. The edges of a cuboid are in thn ntio |
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Answer» Volume of box/volume of the cube100*100*100/10*10*101000000/10001000cubes |
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| 12. |
9. At what distance does a man 5 ft in height, subtend an angle of15"? |
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Answer» As we know that, 1'=60''=>1''=(1/60)'. and 15''=(15×1/60)'=(1/4)' again, we know that 1°=60'=>1'=(1/60°) so (1/4)'=(1/240)°. =(1/240×π/180)c. let the angle between the man and the ground be x°. Then tan(π/43200)=167.64/h =>.000072=167.64/h =>h=2328333cm. (approx).where h is the distance from the man to the angle. |
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| 13. |
" ?9.At what distance does a man 5*1/2- ft in height, subtend an angle of 15 |
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| 14. |
4 A cuhical block of side 7 em is surmounted by a hemisphere. What is the greatesdiameter the hemisphere can have? Find the surface area of the solid. |
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| 15. |
r of a cylinder is 28 cm and its height is 40 cm. FindtheThe an surface area, total surface area and the volume of the cylinder. |
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| 16. |
r=1.2 h=7 find total surface area |
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Answer» r=1.2 unitsh=7 units∴Total Surface Area=2πrh+2πr²={(2×3.14×1.2×7)+(2×3.14×1.2×1.2)}=61.795 square units |
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| 17. |
Total surface area of a cylinder 2r(r+b) |
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Answer» Thank you SO much friend |
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| 18. |
5x - 10Vx = 18, y = 4x=2, - 18x = 18, y = 18x = 4, y = 18 |
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Answer» 2x+2 = 5x -10; 5x-2x = 12; 3x=12; x=12/3=4; y/3=6;; y=6×3=18; x=4y=18is correct answer |
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| 19. |
orem A1.1: The sum of the interior angles of a triangle is 180 |
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Answer» In a Euclidean space, the sum of measures of these three angles of any triangle is invariably equal to the straight angle, also expressed as180 °, π radians, two right angles, or a half-turn. |
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| 20. |
II. Prove that the parallelogram ccircle is a rhombusA triangle ABC is drawn to circumscribe a circleof radius 4 cm such that the segments BD andDC into which BC is divided by the point ofcontact D are of lengths 8 cm and 6 cmrespectively (see Fig. 10.14). Find the sides ABand AC.12.13. Prove that opposite sides of a quadrilateralC-circumscribing a circle subtend supplementary |
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Answer» thnx |
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| 21. |
11.Prove that the parallelogram circumscribingacircle is a rhombusA triangle ABC is drawn to circumscribe a caof radiusDC into which BC is divided by the point ofcontact D are of lengths 8 cm and 6 emrespectively (see Fig. 4.14). Find the sides ABand AC.12.4 cm such that the segments BD andilateral c6 cm13. Prove that opposite sides of a quadrilateral c |
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| 22. |
circle is a rhombuS.12. A triangle ABC is drawn to circumscribe a circleof radius 4 cm such that the segments BD andDC into which BC is divided by the point ofcontact D are of lengths 8 cm and 6 cmrespectively (see Fig. 10.14). Find the sides ABand AC. |
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| 23. |
circle is a rhombus.12.A triangle ABC is drawn to circumscribe a circleof radius 4 cm such that the segments BD andDC into which BC is divided by the point ofcontact D are of lengths 8 cm and 6 cmrespectively (see Fig. 10.14). Find the sides ABand AC. |
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| 24. |
circle is a rhombus.A triangle ABC is drawn to circumscribe a circleof radius 4 cm such that the segments BD andDC into which BC is divided by the point ofcontact D are of lengths 8 cm and 6 cm12.0o respectively (see Fig. 10.14). Find the sides ABand AC. |
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| 25. |
Find the perimeter and area.13 ft10 ft4 ftA203 ftHRA |
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Answer» perimeter=10+4+3+2+4+2+3+4=32 ftArea=(10*4)+(4*2)=40+8=48ft perimeter=2(l+b)2(10+4)+2(4+2)=28+12=40 ftarea=l×b(10×4)+(4×2)=40+8= 48 square ft |
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| 26. |
3 ft4 ft5 ft |
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Answer» PERIMETRE OF FIGURE = SUM OF ALL SIDES= 4FT + 1FT + 3FT + 5FT = 13FT |
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| 27. |
1)9 ft39 ft9 ft27 ftArea: |
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Answer» please like my answer if you find it useful thankyou for your answer a lot I appreciate it but I just dont understand the second line but I would still like your answer. thankyou again😊 sry that you didn't understand the second line.area of shaded region will be total area( area of rectangle)- area of two circle area of rectangle= length ×breadtharea of circle=π(radius)^2length of rectangle= 39 ft(given)breadth of rectangle=27ft(given)radius of circle=9ft(giventhen substitute all the value..you will get answer thankyou so much I understand now! |
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| 28. |
prove that the diagonal of parallelogram bisect each other |
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| 29. |
resultifig Cu00IU2. A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. Thediameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find theinner surface area of the vessel.tod on a hemisphere of same radius. |
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| 30. |
ulting cuboidvessel is in the form of a hollow hemisphere mounted by a hollow cylinder. Thediameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find ther surface area of the vessel2 5ommounted on a hemisphere of same radius. |
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| 31. |
: Diagonals of a parallelogram bisect each other |
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Answer» Ans :- To prove that thediagonalsof aparallelogram bisect each other, we will use congruent triangles: (alternate interioranglesare equal in measure) Also, side AB is equal in length to side DC, since opposite sides of aparallelogramare equal in length. PLEASE LIKE AND SHARE THIS APP |
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| 32. |
Theorem 8.6: The diagonals of a parallelogrambisect each other |
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| 33. |
Show and prove that the diagonal of a parallelogram bisect each other? |
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Answer» thanx bro |
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| 34. |
Stiinmorem 3. The two diagonals of a parallelogram bisect cachother |
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| 35. |
34The diagonals of a rhombus ABCD intersect at 0. If ZADC = 120° andOD = 6 cm. find :(i)ZOAD(ii) side AB(iii) perimeter of ABCD010 |
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| 36. |
Theorem 8 : lf the diagonals of a quadrilateralbisect each other, then it is a parallelogram. |
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| 37. |
The cost of 16 cm of cloth is Rs.60, calculate the cost of 6 cm. |
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Answer» 22.5 rupees |
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| 38. |
BD2 ABCD is aar (ABCD)s a rhombus. If AC- 6 cm and BD 9 cm, findrhombus. If AC -and |
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Answer» ar(ABCD)=1/2 × diagonal1 × diagonal 2 =1/2 × 6 × 9 cm^2 =3 × 9 cm^2 = 27 cm^2 hit like if you find it useful |
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| 39. |
2 ABCD is a rhombus. If AC-6 cm andarea.is a rhombus. If AC 6 cmat PanBD 9 cm, findar (ABCD)4. Prov |
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Answer» hit like if you find it useful |
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| 40. |
In a rhombus ABCD, ZCBA-40Find the other angles |
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Answer» Drawn both diagonalsLet diagonals interest at point OIn triangle AOB90°+Angle OAB+Angle ABO=180Angle OAB=180-90-20=70°angle DAB=140° So other angles are 40°,40°,120°,120° |
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| 41. |
In the parallerogIn a rhombus ABCD, if LA = 76: find <CDB. |
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| 42. |
The perimeter of a square is numerically equalto its area. Find its area. |
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Answer» Let the side of square be a...4a=a^2a(a-4)=0a=4 |
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| 43. |
Volumn and surface area of a solid hemisphere are numerically equal. What is the diameter ofhemisphere ? |
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| 44. |
Volume and surface area of a solid hemisphere are numerically equal. What is the diameter ofhemisphere ? |
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| 45. |
Volume and surface area of a solid hemisphere are numerically equal. What is the diameter ofhemisphere? |
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Answer» Volume of hemisphere = S.A of hemisphere2/3πr^3=3πr^22/3r=3r=9/2diameter =9/2x2=9 Ans |
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| 46. |
Volume and surface area of a solid hemisphere are numerically equal. What isthe diameter of hemisphere? |
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Answer» Volume of hemisphere = S.A of hemisphere 2/3πr^3=3πr^2 2/3r=3 r=9/2 diameter =9/2x2 =9 |
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| 47. |
.The perimeter of a square is numerically equalto its area. Find its area.hlad Find the |
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Answer» yeh aapko answer print out kaha se mil rhe hai |
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| 48. |
Yolume and surface area of a solid hemisphere are numerically equal. What isthe diameter of hemisphere ? |
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Answer» Volume of hemisphere = S.A of hemisphere2/3πr^3=3πr^22/3r=3r=9/2diameter =9/2x2=9 |
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| 49. |
olume and surface area of a solid hemisphere are numerically equal. What isthe diameter of hemisphere ?15 |
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Answer» Volume of hemisphere = S.A of hemisphere2/3πr^3=3πr^22/3r=3r=9/2diameter =9/2x2=9 |
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| 50. |
6. if the perimeter and area of a cirde are numerically equal, then find the radius of circle. |
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