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.

80 Find the area of the quandrilateral ABCDin which AB iam Bce Gm CD100mDAS.com and ACE9.com

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area of quadrilateral=ab+bc+cd+da.therefore, 7+6+12+15=35

2.

fine + ho = 18, find the name ofلامین

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3.

tant-l1-1diietenliale with vspeut ho sin

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4.

Write a rational number which does not lie between the rationNumbers-and -2フ5

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1/2 is a rational number that does not lie between -2/5 and -1/5

5.

mensuration all formula

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Rectangle :

Area = lb

Perimeter = 2(l+b)

Square :

Area = a×a

Perimeter = 4a

Parallelogram

Area = l × h

Perimeter = 2(l+b)

Triangle :

Area =b×h/2 or √s(s-a)(s-b)(s-c)…………….where s=a+b+c/2

Right angle Triangle :

Area =1/2(bh)

Perimeter = b+h+d

Isosceles right angle triangle :

Area = ½. a2

Perimeter = 2a+d……………………….where d=a√2

Equilateral Triangle :

Area = √3. a2/4 or ½(ah)….where h = √3/2

Perimeter = 3a

Trapezium :

Area = 1/2h(a+b)

Perimeter = Sum of all sides

Rhombus :

Area = d1 × d2/2

Perimeter = 4l

Quadrilateral

Area =1/2 × Diagonal × (Sum of offsets)

Kite :

Area = d1×d2/2

Perimeter = 2 × Sum on non-adjacent sides

Circle :

Area = πr^2 or πd^2/4

Circumference =2πr or πd

Area of sector of a circle = (θπr^2 )/360

Frustum :

Curved surface area = πh(r1+r2)

Surface area= π( r12+ h(r1+r2) + r22)

Cube :

Volume: V = l3

Lateral surface area = 4a2

Surface Area: S = 6s2

Diagonal (d) = √3l

Cuboid :

Volume of cuboid: lbh

Total surface area = 2 (lb + bh + hl) or 6l2

Length of diagonal =√(l^2+b^2+h^2)

Right Circular Cylinder :

Volume of Cylinder = π r2h

Lateral Surface Area (LSA or CSA) = 2π r h

Total Surface Area = TSA = 2 π r (r + h)

Volume of hollow cylinder = π r h(R2– r2)

Right Circular cone :

Volume = 1/3 π r2h

Curved surface area: CSA= π r l

Total surface area = TSA = πr(r + l )

Sphere

Volume: V = 4/3 πr3

Surface Area: S = 4πr2

Hemisphere :

Volume = 2/3 π r3

Curved surface area(CSA) = 2 π r2

Total surface area = TSA = 3 π r2

Prism :

Volume = Base area x h

Lateral Surface area = perimeter of the base x h

Pyramid:

Volume of a right pyramid = (1/3) × area of the base × height.

Area of the lateral faces of a right pyramid = (1/2) × perimeter of the base x slant height.

Area of whole surface of a right pyramid = area of the lateral faces + area of the base.

Tetrahedron :

Area of its slant sides =3a2√3/4

Area of its whole surface = √3a2

Volume of the tetrahedron = (√2/12)a3

Regular Hexagon :

Area = 3√3 a2/ 2

Perimeter = 6a

Some other Formula :

Area of Pathway running across the middle of a rectangle = w(l+b-w)

Perimeter of Pathway around a rectangle field = 2(l+b+4w)

Area of Pathway around a rectangle field =2w(l+b+2w)

Perimeter of Pathway inside a rectangle field =2(l+b-4w)

Area of Pathway inside a rectangle field =2w(l+b-2w)

Area of four walls = 2h(l+

6.

Convert the following statements into an equation.(a) 3 added to a number x is 5.

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Given :3 added to a number gives 5Let the number be xNow 3+x=5x=5-3=2Thus x=2

7.

1. Add the following ration2(i)--and545

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The denominators are same

8.

sin’ - 2006 0+ 3 -‘? o Y. & k¥ 3 रथ 3

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Theta=60°sin60°=√3/2cos60°= 1/2(√3/2)^2-2(1/2)+1/4(3/4)-1+(1/4)=0

9.

13(TRo땐예。war, 2006 )481624

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10.

LOWHI-E(i) Fourteen lakh seven thousand three hundred nine.LLLLLLLLLLL

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1407309 it is the answer of Fourteen lakh seven thousand three hundred nine

11.

Out o144 passengers travelling in a double-decker bus, of the passengers are sitting on theck and the rest of the passengers are on the upper deck. If - of the passengers are standingon the upper deck, then how many passengers are sitting there?lower deck and the rest of the pas

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12.

Opposite faces of cuboids arein area.

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13.

-If (234-1 Ho):7=6, find n.

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6 is the best way for answer

2x=÷7=6 is the correct answer

14.

If ComHo find the value of n.

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m=3 is the right answer

15.

If the diagonals of a parallelogram are equal, the hoow that if the diagonals of a quadrilateral bisect each other at nis a rhombus.d hisect each other at right ang

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16.

Find an irrational number between 4 and 5,

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4.132343567809876573864334097...

17.

2x +5 52x-5 3If=-, then the value of x is

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3(2x+5)=5(2x-5) 6x+15 =10x-25 40=4xx=10 The value of x is 10

18.

Show that 4 v2 is an irrational number.

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19.

(3x2 - 6x 5) (2x 2x 5)

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PLEASE LIKE THE SOLUTION

20.

Find an irrational number between 4 and 5.

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thanks this is right

21.

कई” नA Vonowdak n ho m /i L1Sm b breocly ¢ v P नbe laved with Stones, &uth हीविरएग न 4 dm by5 dm. भी 7. ०" था ०20 /पवृणी रन ) ~°

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Since:l =40mb=15 marea of verandah[rectangle]=l*b =40m*15m =600m.sqand stone each measuring 6dm by5dmby converting it into meter we get, 0.6m by 0.5mnow, area of stone= l*b =0.6m*0.5m =0.3m.sqnow, number of stone required =area of verandah/area of stone =600m.sq/0.3m.sq =600*10/3 =6000/3 =2000.

22.

किसी आदमी को वर्ष 2007 में 8,80,000 रु. वार्षिक वेतन के रूपमें प्राप्त हुए जों उसके वर्ष 2006 के वार्षिक वेतन से 10% अधिकथे। वर्ष 2006 में उसका वार्षिक वेतन था?

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23.

1) Show that 4 /2 is an irrational number.

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24.

19/04/2006

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its a Date: nineteenth April year 2006

Yes

25.

The area of the curved surface of a cylinder is4400 cm2, and the circumference of its base is 110cm. Find

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26.

Thearesofehoruned40cm2, and the circumference of itsbase is 110 cm. Find() the height of the cylinder.(i) the volume of the cylinder

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27.

(1 +tan 6 + sec 6) (1 + cot 6 — cosec 0)

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28.

(2x+3y)(2x-3y). simplify

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29.

(2x-3y+5)(2x-3y-5)

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let 2x-3y = a=therefore equation becomes=(a+5)(a-5)=a^2-5a+5a-25=a^2-25

now substitute the values=a^2-25=(2x-3y)^2-25=4x^2-2(2x ×3y)+9y^2-25

30.

find the expansions: (2x+3y+5)(2x+3y-5)

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31.

p and Q are points on sides AB and ACuch that PQ IlBC. If AP-24cm, AQ-2cm,nand F are points on AB and AC respectivelya5 emIn a Δ ABC,respecQcectively s3 cm and BC6 cm, find AB and PQ

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32.

Using the identities, find the length of the hypotenuse.(2x - 3y)(2x -3y)

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33.

If xy(a+y), prove that yydx xах

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jshhshxhjsjbxjsiuxhsuuw

34.

writeany4 Mationaland4 irrationalnumber

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2 5 7 9 -----, ---- , ---- , ---- 3 8 3 13are the examples of rational number. √2 , √3, √5, √6 are the examples of irrational number

Rational number example is 2/3, 4/5, 5/6, 13/15;:;; irrational numbers V2, V5; V7

rational numbers are 1,2,3,1/3,2/5irrational number are√2, √3, √5

Numberssuch as 3/8 and -4/9 are alsorationalbecause their numerators and denominators are both wholenumbers. ... Alternatively, anirrational numberisany numberthat is notrational. It isa numberthat cannot bewrittenasaratio of twointegers(or cannot be expressed asafraction).

35.

2. Write an irrational number between3 and 5.

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irrational number between √3 and√5=√ab=(√3) (√5) =√15so, that's why irrational number is √15

36.

i). If 2x2 + 3уг ос xy, then prove that x α)

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37.

(QC/73)° x (113)8 + (113)-4

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13^ 9 is the correct answer of the given question is

38.

=R b fe L eOQc\. 0१6० > L oA | D

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39.

Let PS be the mediûm of the triangle with verticesP(2,2), Q(6,-1) and R(7,3). Th equation of the linepassing through (1,-1) and parallel to PS is:

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coordinate of S=(13/2,1)

slope of ps=(1-2)/13/2 -2)=(-1)/(9/2)=-2/9

Eq. of the line passing through (-1,1) and parallel to PS is

y-1=(-2/9)(x+1)

9(y-1)=-2x-2

9y-9+2x+2=0

2x+9y-7=0

thanks for answering right answer

40.

1.32MATH8. Find one irrational number between 0.2101 and 0.2222 ...9 Find a rational number and also an irrational numhan lxing hettatoon

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41.

Write one irrational number between 2 and 5

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42.

3. In the given figure, a diameter PQ of acircle bisects the chord RS at the point O. IfPS is parallel to RQ, prove that RS is also adiameter of the circle.

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43.

let PS be the median of the triangle with vertices P (2, 2) Q (6,-1) R (7,3) equation of the line passing through 1, - 1 and parallel to P S IS

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coordinate of S=(13/2,1)slope of ps=(1-2)/13/2 -2)=(-1)/(9/2)=-2/9Eq. of the line passing through (-1,1) and parallel to PS isy-1=(-2/9)(x+1)9(y-1)=-2x-29y-9+2x+2=02x+9y-7=0

44.

xpress the following fractions as percentagesa) 3/4 b) 5/8 c) 1 7/8 d) 11/20

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45.

xpress 343 as a power of 7.

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343 = 7*7*7Hence, 343 = (7)^3

343= 7×7×7 HENCE (7)3= 343

46.

Sum caxpress this Siatement fo tnat fomaltalholation

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In a Euclidean space, thesumof measures of these threeanglesof anytriangleis invariably equal to the straightangle, also expressed as180°, π radians, two rightangles, or a half-turn. It was unknown for a long time whether other geometries exist, where thissumis different.In ∆ABC ,<ABC + <BCA + <CAB = 180°

tq

47.

xpress each number as a product of its prime factors:(0 140(ii) 156(ii) 3825

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thanku

48.

xpress 3.423 in the form p/q, where p and q are integers and q is not =0.

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49.

xpress 2x 3y in the form of ax by +c 0 and find the value of a,b

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tank

50.

The product of two rational numbers isIf one of the numbers isfind the other.

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3/10. is the correct answer of the given question

10/3.is the correct answer in this question

product=-8/9; first number given -4/15; -8/9 × 15/-4=-2/3 × -5=10/3

what is formula of rectangle

-8 / 9 by -4/15; -8 /9 × 15/-4 2/3 ×5 =10/3

= -8/9 by -4/15= -8/9 ÷ -4/15= -8/9 × -15/4= 10/3 is answer.