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. |
लि 1.272727 ... = 1.274 p ols diu, q_% डीय dat p, g W2 q"— स्वरूप ध्शादी, |
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Answer» Write in hindi okk(kkk(k |
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| 2. |
5. The breadth of a room is twice its height, one halfof its length and the volume of the room is 512 cu.dm. Find its dimensions. |
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45. The difference of two numbers is 8 and th of their sum is 3b. The numbers'are:(a) 132, 140(b) 128, 136(c) 124, 132(d) 136, 14446. If the product of three consecutive integers is 120, then the sum of theintegers is:(a) 9(M.B.A. 2006)(e) 18(b) 12(c) 14(d) 1547. The denominator of a fraction is 1 more than its numerator. If 1 is deductedfrom both the numerator and the denominator, the fraction becomesequivalent to 0.5. The fraction is:(Railways, 2006)7844 |
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| 4. |
the cost of 17 chairs is Rs.19210.find the number of chairs that can be purchased for rs.113000 |
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Answer» this question is wrong no this question is no wrong Cost of 17 chairs is Rs 19210Cost of one chair is Rs19210/17=Rs 1,130Chair that can be purchased using Rs 113000 is Rs 113000/ Rs1130 = 100100 chairs can be purchased From which book have you taken this question? Please tell us so that we can provide you faster answer. thanks |
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| 5. |
Thus, we can express an improper fraction as a mixed fraction by die numerator by denominator to obtain the quotient and the remainderththe mixed fraction will be written as Quotient RemainderDivisorEsample 2 : Express the following mixed fractions as improper fractExaimplezi bgtes the following mixced fractions an(a) 2(b) 79 (c) s123-2+,(b) 7(c)424.3411Solution : (a)1 (7x9)+1 6453(5x7)+3=38=Thus, we can express a mixed fraction as an improper fractioWhole Denominator) + NumeratorDenominatorEXERCISE 7.2Draw number lines and locate the points on them(a) 2' 4'4 4 (b)Express the following as mixed fractions(C)5' 52017(a)(b)(c)28Express the following as improper fractions:(b) 56(c) 2)9(f)暗(a) 7(d) 105(e) |
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Answer» thank you you are very intelligent hi I'm Rudra have doubt |
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| 6. |
(vi) 63 4] 12to the3. The numerator of a fraction is 6 less than the denominator. If 3 is addednumerator, the fraction becomes equal to Find the original fraction.23nri -th by bus and remaining |
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Answer» Let the denominator be xthen, numerator = x-6 according to question , => (x-6)+3/x = 2/3=> (x-6+3)/x = 2/3=> (x-3)/x = 2/3 => 3(x-3) = 2x => 3x-9 = 2x => 3x-2x = 9=> x = 9. (denominator) numerator = x-6 => 9-6 = 3 then , fraction = 3/9 |
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| 7. |
(vii)스6_ _L--34]VII123x12the3. The numerator of a fraction is 6 less than the denominator. If 3 is added tonumerator, the fraction becomes equal to . Find the original fraction.23tari-th by bus and remaining |
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| 8. |
e numerator of a fraction is 6 less than the denominator. If 3 is added tnumerator, the fraction becomes equal toFind the original fraction.S2o the3 |
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| 9. |
2. The numerator of a fraction is 2 lessthan the denominator, if 1 is added toits denominator, it becomes .Find thfraction. |
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| 10. |
the5. The differential equation which representsfamily of curves y , where c, and c2 arearbitrary constants, is :-= c,ec2x , where c1 and c2 areAIEEE-2009(3) y' y2(4) y" yy |
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| 11. |
Three distinct points A, B and C are given in the 2-dimensional coordinate plane such that the ratio of thedistance of any one of them from the point (1, 0) to the distance from the point (1, 0) is equal to 3 . Thenthe circumcentre of the triangle ABC is at the point1)12.[AIEEE-2009 (4,-1), 144](3) 3(4) 0,0(2) 2 |
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| 12. |
14. The length of the minute hand of a wallclock is 7 cm. How'much'area does it sweep(Foreign 2009)in 20 minutes? |
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Answer» The area covered by the minute hand in 60 minutes = area of the circle of radius 7 cm The area covered by minute hand in 20 minutes will be one third of the area of circlei.e.= 1/3*π*r*r= 1/3*(22/7)*(7*7)=51.33sq.cm. like if you find it useful |
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| 13. |
1.The point diametrically opposite to the point P(1,0) on the circle x2 + y2 + 2x + 4y-3-0 isAIEEE 2008, (3, -1), 120] |
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| 14. |
One room has 56 chairs and another room has 48chairs. How many chairs are there in all? |
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Answer» 56 chair +48chair =104chair total chairs=56+48=104 |
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| 15. |
12 chairs cost Rs 1500. How many chairs will cost Rs 2750? |
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| 16. |
day. In how many days will all the rice be consumed?9. In an auditorium 405 chairs were arranged in 5 rows. Howmany chairs are being arranged in each row? |
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Answer» No of chairs in each row = Total no of chairs/no of rows = 405/5 = 81 chairs Like my answer if you find it useful! |
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| 17. |
are 16 chairs in a row in a cinema hall. How many chairs are there3. How Illuc |35. There are 16 chairsin 5 such rows ?division facts for each of the follemultilinti |
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Answer» GivenThere are 16 chairs in rowCharis in 5 row = 16×5=80 1 row=16 chairs6 row=5*16=80 chairs |
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| 18. |
what are terminating decimals? |
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Answer» Aterminating decimalis adecimalthat ends. It's adecimalwith a finite number of digits. |
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| 19. |
Do THISSo, theWrite the following terminating decimals in the form of- 9+0 and p, q are co-ere q is of theprimes10. Therefo(1) 15.265 (ii) 0.1255 (iii) 0.4 (iv) 23.34 (v) 1215.8 onal numbeWhat can you conclude about the denominators through this process?So, w |
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Answer» option (V) is the correct answer (1) 15.265 = 15265/1000(2) 0.1255 = 1255/10000(3) 0.4 = 4/10(4) 23.34 = 2334/100(5) 1215.8 = 12158/10 (1) 15.265 = 15265/1000(2) .1255 = 1255/10000(3) .4 = 4/10(4) 23.34 = 2334/100(5) 1215.8 = 12158/10 |
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| 20. |
Without actual division, find which of the following rational numbers are terminatingdecimals:() 32(i) 24 |
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| 21. |
what are non terminating decimals? |
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Answer» The rational number for which the long division does not terminate after any number of steps is known as non-terminating decimal. |
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| 22. |
2.Write 5 rational numbers which can be expressed as terminating decimals. |
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Answer» a.) 10 / 100 = 0.1 ( In this we can find that when the fraction will be broken down into its simplest form then its denominator will be in the form of 2^m x 5^m ) b.) 9 / 90 = 0.1 ( Well it also have a terminating decimal expansion as when it will be broken down then its denominator will be in the form of 2^m x 5^m ). similarly 8/80,7/70,6/60 |
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| 23. |
Q.13 Convert 0.152 non-terminating recurring decimals into fractions. |
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Answer» 0.152 = 152/1000divide 152 and 1000 by 4,we get 38/250,then,divide 38 and 250 by 2,then we get 19/125hence, 19/125 is the convert of 0.152 19/125 is the correct answer of the given question |
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| 24. |
If length of a rectangle is 5m more than twice its breadth, find out the dimensions of the rectangdsGiven: Perimeter106m) |
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Answer» let breadth be x therefore length is 2x+5given perimeter is 106so 2×(x+2x+5)= 1063x+5= 533x= 53-53x= 48x= 16so breath is 16 and lenght is 32+5= 37 |
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| 25. |
3. ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD andrespectively. Show that the quadrilateral PQRS is a rhombus. |
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| 26. |
17. ABCD is a rectangle formed by the points A (1,-1), B (-1,4), C (5, 4) and D (5, -1). P, oand S are the mid-points of AB, BC, CD and DA respectively. Find what type of quadrilateralPQRS is. |
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Answer» P is the mid point of A(-1,-1);B(-1,4)P(x,y)=x₁+x₂/2 , y₁+y₂/2here x₁=-1, x₂=-1y₁=-1, y₂=4P(x,y) = -1+(-1)/2 and -1+4/2=-1-1/2 and 3/2=-1 and 1.5∴P(-1, 1.5) Q is the mid point of B(-1,4);C(5,4)Q(x,y)=x₁+x₂/2 , y₁+y₂/2= -1+5/2 , 4+4/2=4/2 , 8/2=2,4∴Q(2,4) R is the mid point of C(5,4)D(5,-1)R(x,y) = 5+5/2 , 4+(-1)/2=10/2,4-1/2=5,3/2=5,1.5∴R(5,1.5) S is the mid point of A(-1,-1) ;D(5,-1)S(x,y)= -1+(-1)/2+5+(-1)/2=-1-1/2, 5-1/2=-2/2 , 4/2=-1,2∴S(-1,2) PQRS is a quadrilateral but to prove what type of quad. it is use the distance formulaP(-1, 1.5) ; Q(2,4)PQ=√[(x₂-x₁)²+(y₂-y₁)²]PQ =√(2-(-1))²+(4-1.5)²=√(3)²+(2.5)²=√9+6.25=√15.25∴ PQ =√15.25 Q(2,4); R(5,1.5)QR =√[(5-2)²+(1.5-4)²]=√(3)²+(-2.5)²=√9+6.25=√15.25∴QR =√15.25 R(5,1.5) ; S(-1,2)RS=√[(5+1)²+(2-1.5)²]= √6²+(0.5)²=√36+0.25=√36.25∴RS=√36.25 S(-1, 2) ;P(-1,1.5)SP=√[(-1+1)²+(1.5-2)²]=√(0)²+(0.5)²=√0+0.25=√0.25=0.5∴SP = 0.5 On comparing all sides joined by the midpoints of the rectangle we find that PQRS is just a quadrilateral not any type of quad. |
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| 27. |
A, S 24 s < i L ยฅ A61 16 & 2 2 9 SIS2 4 s 7ยง5ยง Gt |
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| 28. |
zside 20 cm. If the wire is rebent indo srectange lesgits breadth.The cost of fencing a square field asOne side of a rectangular garden is 48mandiWhich encloses more area square or rectanglea |
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Answer» total cost=areaxratehence area=6400/3.2=2000m^2hence cost of leveling will be 2000*85=170000rupees |
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| 29. |
8. If 3 + 5 - 8 = 0, then the value 1 pointof (3)^3 + (5)^3 – (8)^3 is *O260O 360O -360O -260 |
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Answer» the ans is 27+125-512=-360 (3*3*3)+(5*5*5)-(8*8*8)27+125-512152-512-367 the right answer is 360 the correct answer is -360 the answer is 27+125-512=-360 your answer is -360^ |
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| 30. |
22A common tangent to 9-16y2144 and x2 + y2-sis |
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| 31. |
CHAPTER 9AREA AND PERIMETREPQRS is a square in which PQ = 2.8 m. Find the area ofunshaded region.(B) 6.16 m2(C) 1.68 m 2(D) 5.68 m2(A) 7.84 m2(E) of these |
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Answer» please explain kare Assume that you have a cardboard and now you are removing that circle from cardboard. So the remaining area will be the area of unshaded region. |
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EVEREST KENBRIDGE SR. SEC. SCHOOLMARAIYUR ROAD, SITHARKADU, MAYILADU THURAI 609003WORKSHEET CHAPTER 9Name:VIIIDate : 21.12.18of itsnding side1. The area of a parallelogram is 60cm and onealtitude is Scm. Find the length of corresp |
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Answer» Area of parallelogram=base*altitude60=side*5side=60/5=12cm thanks |
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| 33. |
Chapter 8In quadrilateral PQRS,4 P:Z 9:ZR: ZS 3:5:9:7. Find all the angles ofquadrilateral PQRS. |
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Answer» hit like if you find it useful |
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| 34. |
Chapter 81 In quadrilateral PQRS4 P: 4 9:R: S 3:5:9:7. Find all the anglesquadrilateral PQRS. |
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Answer» badha j puchi le avu kar thnx |
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| 35. |
If area of rectangular garden of 5m breadth is 300 sq. m, then what will be the length ofgarden?(a) 60 m (b) 70 m (c) 80 m (C) 90 m |
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Answer» The rectangular garden hasB = 5mArea = 300m² Area of rectangle = L × B300m² = L × 5m L = 300m²/5mL = 60m Ans : a) 60m |
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The area of a rectangular garden is 645 m. If breadth of the garden is 15 m, then find the leand the perimeter of the rectangular garden. |
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Answer» Area=length*breadth645=length*15length=645/15=43mPerimeter=2(length+breadth)=2(43+15)=2(58)=116m |
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| 37. |
8. A cuboid of dimensions 10 em by 2 cm by 2 cm is divided into 5 cubes of edge 2 cm. Find the ratiothe total surface area of the cuboid and that of the cubes. |
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Answer» For cuboid=l=10cmb=2 cmh=2 cm For cube=side=2cm Therefore, Total surface area of cube _______________________Total surface area of cuboid = 6×(side)^2 ____________ 2(l×b+b×h+h×l) = [6×(2)^2]---(reason=there are 5 cubes__________ 2×(10×2+2×2+2×10) =[6×4]5_________ 2×44 =24×5 ________ 88 =120_________ 88 =15______ 11 =15:11 |
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(237) A rectangular garden is designed such that the length of the garden is twice is breadth and the area of the gardenis 800 m. Find the length of the garden. |
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| 39. |
A farmer wishes to fence a 100 m2 rectangular garden. He has 30m of barbed wire and isable to fence only three sides of the garden. Find the dimensions of the garden. |
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Answer» Let the length and breadth of the vegetable garden be x and y respectively We know that Area of Rectangle=length multiply breadth So,xy=100[because AREA=100 squqare meter y=100/x Also,the sum of three sides of the rectangular garden is 30meter x+100/x+100/x=30 So,x=10 and y=10 or x=20 and y=5 because it is a rectangular garden x=10 is not possible unless it is a square So,length=20 meter and breadth=5 meter i have one more question can you help me |
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| 40. |
jaideep wants to fence his rectangular garden with double wire.If the sides of garden are 25metre by 20 metre . Find the cost of fencing the garden at the rate of ₹18/metre |
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Answer» Fencing will be done on the perimeter of the gardenPerimeter = 2(l+b)= 2(20+25)= 90mCost = Perimeter* Rate= 90 * 18= Rs. 1920 PLEASE HIT THE LIKE BUTTON |
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| 41. |
Jaideep wants to fence his rectangular garden with double wire. If the sides of the garden are 25m by 20m, find the cost of fencing the garden at the rate of Rs. 18/m. |
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Answer» Perimeter = 2(l+b)= 2(25 + 20)= 2(45)= 90 m Cost = Rate*Perimeter= 18*90= Rs. 1920 PLEASE HIT THE LIKE BUTTON |
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| 42. |
he side ofa rectangular garden is 48 mandis diagonalis 50 m long,Find thearea anperimetergarden/Find the area and perimeter |
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Answer» Like if you find it useful |
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| 43. |
A rectangular garden is 120m by 100m. how many rounds of this garden will a boy make if he covers 2200 meters? |
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Answer» Length of Reactangular garden = 120 mBreadth of Reactangular garden = 100 m Perimeter of Reactangular garden = 2(length + breadth)= 2(120 + 100) = 2*220= 440 m Let boy make n number of rounds of ground Therefore,n*440 = 2200n = 2200/440 = 5 Length of rectangle =120mBreadth 100mPerimeter of rect. =440mRounds making by the boy=2200/440==5 the boy will take 1000 m to covr answer will be 5 l |
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| 44. |
t 7029. If 11 Mango are bought for Rs. 10 and sold at 10 forRs.11. What was Gain or Loss%? |
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Answer» If you find this solution helpful, Please like it. |
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| 45. |
20. In what ume will5600 amount to86720 at 8% per annum? |
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| 46. |
2 cubes cach vltune 6fent are iined ed to erd. firdl He swdaecvrea e the Aestlting tubeume 64cmOR |
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Answer» Given, volume of each cube is 64 cm³⇒s³=64⇒s=∛64⇒s=4 cm.When two cubes are joined ,the length of the resulting cuboid(l) = side + side = 4+4 = 8 cmits breadth(b) = side = 4cmAnd its height(h) = side = 4cmTotal surface area of a cuboid = 2(lb+bh+hl)⇒TSA=2[(8)(4)+(4)(4)+(4)(8)]⇒TSA=2(32+16+32)⇒TSA = 2(80)⇒TSA = 160 cm²∴ The surface area of the resulting cuboid is 160 cm². |
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| 47. |
ve concludemple 9 : Prove that /5 is irrationalume to the contrary, that /5 is rational |
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| 48. |
6. Volhemisphere?ume and surface area of a solid hemisphere are numerically equal. What is the diameter of |
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Answer» tysm👌 |
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| 49. |
Three consecutive natural numbers are such that the square of the middlenumber exceeds the difference of the squaren of thg other two hy 60. Find thenumbersx" |
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Answer» Since the middle number of the three consecutive numbers is x, the other two numbers are x -1 and x +1. According to the given condition, we have x² = [(x +1)² -(x -1)²] +60 x² = (x² +2x +1) -(x² -2x +1) +60 = 4x +60 x² -4x -60 = 0 => (x -10)(x +6) = 0 x = 10 or -6 Since x is a natural number, we get x = 10 Hence the three numbers are 9, 10, 11 |
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| 50. |
3. Write each of the following as decimals(a) Seven-tenths(c) Fourteen point sixe) Six hundred point eight(b) Two tens and nine-tent(d) One hundred and two |
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