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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Answer» area of quadrilateral=ab+bc+cd+da.therefore, 7+6+12+15=35 |
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| 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 -2ă5 |
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Answer» 1/2 is a rational number that does not lie between -2/5 and -1/5 |
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| 5. |
mensuration all formula |
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Answer» 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+ |
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| 6. |
Convert the following statements into an equation.(a) 3 added to a number x is 5. |
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Answer» Given :3 added to a number gives 5Let the number be xNow 3+x=5x=5-3=2Thus x=2 |
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| 7. |
1. Add the following ration2(i)--and545 |
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Answer» The denominators are same |
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| 8. |
sin’ - 2006 0+ 3 -‘? o Y. & k¥ 3 रथ 3 |
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Answer» Theta=60°sin60°=√3/2cos60°= 1/2(√3/2)^2-2(1/2)+1/4(3/4)-1+(1/4)=0 |
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| 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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Answer» 1407309 it is the answer of Fourteen lakh seven thousand three hundred nine |
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| 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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Answer» 6 is the best way for answer 2x=÷7=6 is the correct answer |
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| 14. |
If ComHo find the value of n. |
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Answer» m=3 is the right answer |
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| 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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Answer» 4.132343567809876573864334097... |
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| 17. |
2x +5 52x-5 3If=-, then the value of x is |
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Answer» 3(2x+5)=5(2x-5) 6x+15 =10x-25 40=4xx=10 The value of x is 10 |
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| 18. |
Show that 4 v2 is an irrational number. |
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| 19. |
(3x2 - 6x 5) (2x 2x 5) |
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Answer» PLEASE LIKE THE SOLUTION |
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| 20. |
Find an irrational number between 4 and 5. |
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Answer» thanks this is right |
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| 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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Answer» 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. |
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| 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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Answer» its a Date: nineteenth April year 2006 Yes |
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| 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 â 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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Answer» 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 |
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| 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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Answer» jshhshxhjsjbxjsiuxhsuuw |
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| 34. |
writeany4 Mationaland4 irrationalnumber |
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Answer» 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). |
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| 35. |
2. Write an irrational number between3 and 5. |
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Answer» irrational number between √3 and√5=√ab=(√3) (√5) =√15so, that's why irrational number is √15 |
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| 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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Answer» 13^ 9 is the correct answer of the given question is |
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| 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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Answer» 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 |
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| 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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Answer» 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 |
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| 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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Answer» 343 = 7*7*7Hence, 343 = (7)^3 343= 7×7×7 HENCE (7)3= 343 |
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| 46. |
Sum caxpress this Siatement fo tnat fomaltalholation |
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Answer» 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 |
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| 47. |
xpress each number as a product of its prime factors:(0 140(ii) 156(ii) 3825 |
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Answer» thanku |
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| 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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Answer» tank |
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| 50. |
The product of two rational numbers isIf one of the numbers isfind the other. |
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Answer» 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. |
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