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.

Radius=10,find circumference

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circumference of circle is 2πrradius r =10circumference=2*3.14*10=62.8

2.

In the given below figure, in ΔΑ BC, D and E are the midpoint of the sides BC and ACrespectively. Find the length of DE. Prove that DE ABA (-6-1 )B (2,-2)C (4,-2)

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please like my answer if you find it useful

3.

find the total surface area of a hemisphere of radius 10 cm

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4.

2. Find BC, if the area of the triangle ABC is 36rm2 and height AD is 6 cm.

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Area of triangle=(1/2)*base*height36=(1/2)*base*6BC=12cm

5.

2. in the given figure, O is the centre of the circle. The radius of the circle is 3.1 cm and PA is a tangent drawn to thecircle from point P If OP = x cm and AP6.2 cm, then find the value of x.6.2 cm3.1 cmx cm

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6.

The selling price of an particle is 4/3timesits cost price. The gain percent is

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7.

The selling price of a refrigerator is 11 of its cost price. Find the gain per cent.3

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Let the cost price be Rs. xSelling Price=Rs.4x/3

Gain=Rs.{(4x/3)-x}=Rs. x/3

∴Gain percent=(Gain/Cost Price)×100={(x/3)/x}×100=33.33%

8.

4The selling price of an particle is 4/3timesits cost price. The gain percent is

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9.

he cost of each chair.8. The total cost of 24 chairs is *9255.60. Find the cost of earhirt How many such shirts

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24 chairs= 9255.60 rs each = 9255.60/24= 385.65 rs

Answer = 385.65 rs

no. of chairs=24total cost = 9255.60 RS.cost of each chair = total cost /no. of chairs=(9255.60/24)rs.=385.65 Rs.hence the cost of each chair 385.65 rs.

10.

o11. The length and breadth of a basketball court are in the ratio of 7:3. if the court's perimeter isi200m, find its length and breadth.

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Perimeter= 2(7x+3x)200=20xx= 10mlength = 70mbreadth = 30mAnswer:-

11.

cm?Q11. The length and breadth baske200m, find its length and breadth.of a basketball court are in the ratio of 7:3. If the court's perimeter is

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Let the length and breadth of the basketball court be 7x and 3x units respectively.Given:-Perimeter of the court=200 m

∴2(7x + 3x)=200=>20x=200=>x=10

∴Its length=7x=70 m and breadth=3x=30 m.

12.

ct and write the most appropriate alternative from those given below:ΔABC ~ Δ PQR and ar(ΔΑΒΟ) 144 crm2, ar(APQR)-81 cm 2. If QR-27 cm[11then BC-cma) 9b) 12c) 36d) 48

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13.

the ratio of 200m to 2km

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we know 1 km = 1000m

therefore, 2 km= 2000 m

200m:2km= 200:2000= 1:10

14.

In fig. OAPBO is a sector of a circle of radius 10.5 cm. Find the perimeter of thesector.60

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15.

[EAR aaqqinį atia è ari dHi aig HL2H u2L 케L2eǐ %.udrl gR E9 어Lbld (b). dl 에6x 10-19 a

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post your questions in English please.

16.

Find BC if the area of the triangle ABC is 36cm^2 and height AD is 6 cm.

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thank you

17.

(6) 200m Gm (d) 21 cm?10-If the median of an aquilateral triangle i x cm the its area1s

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Median in equilateral triangle is perpendicular bisector of the side.when side is a cm, then length of median will bex =√[(a)²-(a/2)²] =√(3a²/4) =(a/2)√3⇒x = (a/2)√3⇒a = 2x/√3

now. area = (√3/4)a² = (√3/4)×(2x/√3)² = x²/√3 cm²

I think 3rd.............

18.

-Test the Convergence op -Hae. Serieslest the Convexsenethe sesieg

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19.

The lestbeinghehexaatest Find the angles

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Let the angles be a-d,a,a+daccording to the question a+d = 2(a-d)a-d+a+a+d = 180 (since sum of the angles are 180 degrees )= 3a = 180= a = 60from second equation 3d = 60 d = 20so the angles are 40 60 and 80

20.

An article is sold at 20% profit. If its costprice is increased by rs 50 and at thesame time if its selling price is alsoincreased by Rs 30, the percentage ofprofit decreases by 10/3%, then the costprice is(1) Rs 852(3)Rs 851(2) Rs 850(4) Rs 853

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SOLUTION:CASE ILet initial cost price be x Rs.Profit = 20/100 * x = x/5So selling price = x + x/5 = 6x/5

CASE IICost price = x + 50Selling Price = 6x/5 + 30Profit = (6x/5 + 30) - (x + 50) = x/5 -20Profit Percentage = (x/5 - 20) / (x + 50) * 100But in according to the question profit percentage = 20 - 10/3 = 50/3 %So (x/5 - 20) / (x + 50) * 100 = 50/3∴ (x/5 - 20) / (x + 50) = 1/6∴ 6x/5 - 120 = x + 50∴ x/5 = 170∴ x = 850So original cost price = Rs 850

21.

ngth and breadth of a basketball court are in the ratio of 7:3. f the court's perimeter is200m, find its length and breadth.

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Let the length and breadth of the basketball court be 7x and 3x units respectively.Given:-Perimeter of the court=200 m

∴2(7x + 3x)=200=>20x=200=>x=10

∴Its length=7x=70 m and breadth=3x=30 m.

22.

20. In Fig. 7.232, each of PA, QB, RC and SD is perpendicular to l. If AB 6 cm, BCEOCD12 cm and PS36 cm, then determine PQ, QR and RS.A BC DFig. 7.23227, in Δ A

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23.

re, D divides the side BC of the AABC in the ratio 1 : 2,point P on AD is at a distance unitsthe vertex A. Find the coordinates of the point P.15. In figure,A(0, 3)C(4, 2)B(1,-2) 1 2

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24.

triangle in 3 cm, find the length of the corresponding side of the larger triangle.triangle in 40 cm, find the area of the larger triangle.CD 12 cm and PS 36 cm, then determine PQ. QRand RS.19. Corresponding sides of two similar triangles are in the ratio 1:3. If the area of the small20. In Fig. 4.232,each of PA, QB, RC and SD is perpendicular to l. If AB- 6 cm, BC-9 cPQR SAB CDFig. 4.232

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Area 1/area 2 = (length 1/length 2)²

40/area 2 = (1a/3a)²

area 2 = 40 / (1/3)²

= 40 * 3²

= 360

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25.

12m2 m2 m10 m10 m4 m60 cmFig. 64-12 m.32 m,Fig. 5the area of the pathway shown (shaded region) in Fig. 6 given above.s If

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26.

in ∆abc 2

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27.

In a △ ABC, if 2A-3 2B-6 <C then calculate 2A, 2B and 2C.EXAMPLE 2.

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2 A = 3 B = 6 C

B = 2/3 A,C = 2/6 A = 1/3 A

We know thatSum of interior angles of a triangle are 180°

A + B + C =180

A + 2/3 A + 1/3 A = 180°

2 A = 180

A = 90°

28.

6. 2 cubes each of volume 616 cm are JuI7. On dividingremainder were x -2 and -2 x + 4 respectively, find g (x) ?5, In △ ABC, LB -soof resulting cuboid?On dividing x-3 x2+ x + 2 by a polynomial by a polynomials g( x), the quotient andYl and (3, 5) are the vertices of a parallelogram taken in order , find the value ofl chuffled2 ) ( 4

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Divisor*Quotient+Remainder= Divident

g(x)(x-2)+(-2x+4)=x³-3x²+x+2

g(x)(x-2)=x³-3x²+x+2+2x-4

g(x)(x-2)=x³-3x²+3x-2

g(x)=x³-3x²+3x-2/(x-2)

g(x)=(x²-x+1)(x-2)/(x-2)

g(x)=x²-x+1

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29.

Prove thatDear 200mBerea

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30.

A particle of mass 0.2 kg is moving in one dimensionunder a force that delivers a constant power 0.5 W to theparticle. If the initial speed (in m/s) of the particle is zerothe speed (in ms, after 5 s is

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31.

Find the image of the point A(5, -3) underreflection in the point P(-1, 3).

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Image of point A( 5,-3)under reflection P(-1,3) will be(5-1,-3+3)(4,0)x coordinate decrease by 1 and y coordinates increase by 3

please elaborate

32.

(8) The adjacent sides of a parallelogramare 15 cm and 8 cm. If the distancebetween the longer sides is 4 cm,find the distance between the shortersides.

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Length*distance between longer sides = breadth* distance between shorter sides=> 15*4= 8*distance between shorter sides=> Distance between shorter sides = 7.5 cm

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33.

ITDgTREITwlethediffererieebewthe sum of the exterior angles so formed andA:/)/r, α tri"ngler4nc. if rils-AC and Ati is, produted 10, D such that ßDe BrldFig. 1142, wide BC of AABC is prodticed to point D sueh that bisetosdABC and ACD meet at a pointA

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17. Ratio is 3:1

Wrong

Which step you found error?

34.

Findarea of the shaded region in Fig. 12.22, where a circular arc of radius 6 cm hasthebeen drawn with vertex O of an equilateral triangle OAB of side 12 cm as centre.8)6 cm12 cmFig. 12.22Fig. 12.23olo of radius 1 cm is cut and

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35.

: Evaluate 105 × 106 without multiplying directly.

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36.

27: Evaluate 105 × 106 without multiplying directly

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105 × 106

( 100 + 5) ( 100 + 6)

100² + 600 + 500 + 30

100,00 + 1130

11,130

37.

draw any ∆ ABC. through A, draw the line parallel to BC.

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38.

1.From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q fromthe centre is 25 cm. The radius of the circle is(A) 7cm(C) 15 cm(B) 12 cm(D) 24.5 cm

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Any other way to solve it

39.

choose the correct option and give justificationa point Q, the length of the tangent to a circle is 24 cm and the distance of Q fromis 25 cm. The radius of the circle is(A) 7cm) 15 cm(B) 12 cm(D) 24.5 cnm

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40.

Try to construct a triangle with 5cm, 8em and lcm.Isitpossibleornot?Why?Givejustification?

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We know that triangle can be made only sum of two sides is greater than third sides.here (5+1)cm = 6cm < 8 cmwo triangle is not possible

thank you very much

41.

Try to construct a triangle with Sem, Scm and 1cm. Isit possible or not? Why? Give yourjustification?

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5+1=6<8sum of two sides of triangle is less than the third sideso the triangle is not possible

42.

18.How many words can be formed changing theorder of the letters of the word ear?inANSWERS

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there are 4 letter and they distinct sopossible permutations is 4! = 24

43.

2x4-8Answer the following.A) The point (-3, -5) is equidistant frorm the points (x,y) and(-2, 8) then find the values of x and y.

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44.

Try to construct a triangle with 5cm, 8cm and 1cm. Is it possible or not?Why? Give yourjustification?

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No it is not possible bcoz the sum of two sides is not greater than the third side.....of the triangle5+1<8

45.

) A plane tvavels 5100 km in &amp; hours How far will it go in 4 hours 86 minwes?n 4 hours Snesttainers oan hold ไ01 lirres of milk.

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46.

Try to construct a triangle with 5cm, 8cm and Iem. Is it possible or not? Why? Give yourjustification?

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No it is not possible bcoz the sum of two sides is not greater than the third side.....of the triangle5+1<8

47.

. Try to construct a triangle with 5cm, 8cm and 1cm. Is it possible or not? Why? Give yourjustification?

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The greatest side must be < rest sides sumif 8 > 5+1 then triangle is impossible

48.

5. Draw angle ABC =120°. Draw a line parallel to BCfrom A

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49.

Draw a Δ ABC with sides BC-5cm, AB-6cm and AC-7cm and then construct ato Δ ABC whose sides are 2/5 of the corresponding sides of Δ ABC.

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no your contradiction is wrong plz check my question clearly

50.

Draw a triangle ABC with side BC = 7 cm. B-450,L A= 105°. Then,triangle whose sides are-times the corresponding sides of Δ ABC.

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