Explore topic-wise InterviewSolutions in Current Affairs.

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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The fourth one also

4.

The perimeter of an isosceles right triangle is 5(2+\sqrt{2}) cm. Find its area.

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5.

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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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

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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Volume of box/volume of the cube100*100*100/10*10*101000000/10001000cubes

12.

9. At what distance does a man 5 ft in height, subtend an angle of15"?

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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.

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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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

17.

Total surface area of a cylinder 2r(r+b)

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Thank you SO much friend

18.

5x - 10Vx = 18, y = 4x=2, - 18x = 18, y = 18x = 4, y = 18

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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

19.

orem A1.1: The sum of the interior angles of a triangle is 180

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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.

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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thnx

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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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

26.

3 ft4 ft5 ft

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PERIMETRE OF FIGURE = SUM OF ALL SIDES= 4FT + 1FT + 3FT + 5FT = 13FT

27.

1)9 ft39 ft9 ft27 ftArea:

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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!

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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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.

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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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thanx bro

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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22.5 rupees

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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ar(ABCD)=1/2 × diagonal1 × diagonal 2 =1/2 × 6 × 9 cm^2 =3 × 9 cm^2 = 27 cm^2

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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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40.

In a rhombus ABCD, ZCBA-40Find the other angles

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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°

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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Let the side of square be a...4a=a^2a(a-4)=0a=4

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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Volume of hemisphere = S.A of hemisphere2/3πr^3=3πr^22/3r=3r=9/2diameter =9/2x2=9 Ans

46.

Volume and surface area of a solid hemisphere are numerically equal. What isthe diameter of hemisphere?

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Volume of hemisphere = S.A of hemisphere

2/3πr^3=3πr^2

2/3r=3

r=9/2

diameter =9/2x2

=9

47.

.The perimeter of a square is numerically equalto its area. Find its area.hlad Find the

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yeh aapko answer print out kaha se mil rhe hai

48.

Yolume and surface area of a solid hemisphere are numerically equal. What isthe diameter of hemisphere ?

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Volume of hemisphere = S.A of hemisphere2/3πr^3=3πr^22/3r=3r=9/2diameter =9/2x2=9

49.

olume and surface area of a solid hemisphere are numerically equal. What isthe diameter of hemisphere ?15

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Volume of hemisphere = S.A of hemisphere2/3πr^3=3πr^22/3r=3r=9/2diameter =9/2x2=9

50.

6. if the perimeter and area of a cirde are numerically equal, then find the radius of circle.

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