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. |
EXERCISE 15.1a anoken match, a hatswoman hits a boundary b times out oi 30 hails siugleys Fuau probabiliny thai she did not bi a boundary |
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| 2. |
56. The value of 248 + 152 + V144, is(a) 17(b) 16(c) 15(d) 14 |
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Answer» First find the squre root of 144 ..than add to 52 ..we will get 64 ..again find the sqaure root of 64. we will get 8 as ans and after that we add that to 248 and we will get 256 ..than at last find the sqaure root of 256 ans will be 16 answer is option b do you want me to work it out and get a pic option b is the correct answer yo homie I told you what I told you man {b} 16 is the correct answer First see the numbers and take square root for 144 and add the digits to the another you can get the answers 16 is the correct answer h not answer this question (B) 16 correct answer the answer is root 16 16 is the correct answer 16 is the correct answer 16 is the right answer this question is correct answer 16 b is the right answer for the question option b is the right answer √248+√52+12√248+√64√248+8√256 = 16 ans. ans (b) 16 is the right answer 16... is Right answer... 16 is the correct answer. the answer of this question is 16 b.......................... answer is 16 for this question answer (b) is correct √16 is correct answer option b is right answer hoga find first square root of 1 4 3 then at 50 we will get 64 again find square root of 64 16 is the correct answer of the given question √16 is correct answer......... option (b) is the right answer 16 is correct answer (B) √16 is the correct answer the answer is root 16. accurate answer will be options (b) . b.................... the question answer is, b=16 (B) is the answer of this question Root 144 is 1252+12 is 64 and root 64 is 8248+8is256 and root 256 is 16.hence Ans is 16 option (b) 16 is the right answer the answer will be 16 (b) 16 is correct answer 16 your question answer the correct answer is 16 16 is the answer of your question The write Anwer is (b) which is 16 √248+√52+12√248+√64√248+8√25616 16 is answer of this question. 16 is correct answer of this question aption b. answer 16. 16 your Questions Answer 16 is the correct answer. b......................... b.......... .......... 16 is the right answer 16 is a correct answer 16 is the right answer of the questions it's answer is (b) 16 correct answer is option (b)16 |
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कि =(5) उपू- A LIRS S0l es o—b," 'h?u» Vi W.:‘M,,WJ.& PY"Ld".[’" नह ९५८४, (लि फी पएिप्प्ट-जप्छ रिप डवर्व6०- ही... s e Jj,‘,न.कि o : . |
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Answer» Let the circle touches the sides BC, CA, AB of the right triangle ABC(right angled at C) at D, E and F respectively, where BC= a, CA=b , AB= c respectively Since lengths of tangents drawn from an external point are equal So, AE = AF and BD = BFAlso CE = CD = rand b-r = AF, a- r = BF Therefore, AB = AF + BFc = b-r + a-r Hence, r = a+b-c/2 |
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ocos y - sin x sin y3cos +y)Consider the uncicile withthe angle POP Then (x+3)centre at the origin. Let.x be the an+1) is the angle POP.. Also let (-y) be the:Therefore, P. P P, and P, wР.leos cr +y, sin (x +3% P,Icos (-у), sin (-У)] and P. (1. 0)(Fire:P. P, and P, will have the coordinates P |
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Answer» Draw first the two anglesaaandbbin the trigonometric circle. ProjectAEAEonADAD. Since|AE|=1|AE|=1and that the triangleADEADEis rectangle inDD, you have that|AD|=cos(b)|AD|=cos(b)and|ED|=sin(b)|ED|=sin(b). Now projectADADonACAC, since the triangleACDACDis rectangle inCCand that|AD|=cos(b)|AD|=cos(b), you have that|CD|=cos(b)sin(a)|CD|=cos(b)sin(a)and|AC|=cos(a)cos(b)|AC|=cos(a)cos(b). Finally projectEDEDonEFEF. The angleFEA^=aFEA^=a. Moreover, the triangleEFDEFDis rectangle onFFand thus|EF|=cos(a)sin(b)|EF|=cos(a)sin(b)and|FD|=sin(a)sin(b)|FD|=sin(a)sin(b). Now, just remark that|FB|=|CD||FB|=|CD|and|BC|=|FD||BC|=|FD|and you get sin(a+b)=|EF|+|FB|=cos(a)sin(b)+sin(a)cos(b)sin(a+b)=|EF|+|FB|=cos(a)sin(b)+sin(a)cos(b) and cos(a+b)=|AC|−|BC|=cos(a)cos(b)−sin(a)sin(b) thanks |
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20. Prove that the line joining the mid-point of a chord to the centre of thecircle passes through the mid-point of the corresponding minorarcthe given figure AR and CD are tur un3 |
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H. The standard equation of an ellipse, the lengthof whosw major and minor axes are 10 and8respectively is |
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Answer» 2a = 10. => a = 5.2b = 8=> b = 4. x^2/25 + y^2/16 = 1 is the equation of the ellipse. |
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1. The strange thing about the man who arrived at the Coach and Horses inn was.... |
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Answer» When the strange man arrived in bramblehurst station. He enters with the coach and horse in demand him a room and a fire. And at last The Invisible Man out of the inn. |
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| 8. |
Findthe equation of an ellipse whose axes lie along coordinateaxes and which passes through (4,3) and (-1,4). |
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| 9. |
C0-ordlnate axeSFind the equation of the plane which is parallelto the plane x+5y-4z +5 0 and the sum ofintercepts on the axes is 15 unitss.ind tx+116. Flane whose intercepts10r+2y |
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| 10. |
5. Solve the following:1) Give two examples of parallel lines you can see in your environment. |
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Answer» 1 .The two opposite banks of a river. 2.The two opposite edges of a straight road.3.The two opposite edges of a railway track. 4.The two opposite edges of a ladder... |
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| 11. |
tain rosses a Lelearapth postandl au11ん.cyLosees a64 msecomo)820 keam |
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Answer» let the speed of the train be V so, length of train will be L = V*8 ......(1) and for bridge the equation will be (L+264) = V*20.......(2) => divide eq 2 by 1 we get (L+264)/L = 20/8=> 8L + 2112 = 20L=> 12L = 2112 or length of train = 2112/12 = 176 m and speed = 176/8 = 22 m/s. 79.2 is and Speed =dist/time =264/(tfinal-tinitial) = 264/12 =22m/s check your unit.. I have reported answer in m/s... convert it into km/h... you will get your answer. 22m/s = 22*18/5 = 79.2km/h |
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| 12. |
Thevalueof(-10)+92+84+(-15) is(A) 150(B) 152(C) 161(D) |
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| 13. |
U11Q.1 Subtract (3a² bc) from (- 13a2bc + 5) |
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Answer» -16asquare2+5 is a right |
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| 14. |
uvu anu > wviues leaving ICC J0Jcuci cu(3) A boy saves 4.65 daily. Find the least number of days in which he will be able to save an exact number ofrupees. |
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Answer» 4.65*20=9320 days is the right answer |
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| 15. |
प्रतियोगिता5/नीचे दी गई आकृतियों में प्रश्नवाचक चिह्न (?) के स्थान पर कौन-सीसंख्या आएगी?(144)(A)152(C)176(B) 162(D)104 |
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Answer» 104 is the right..... 104 is the right answer 104 is the right answer right answer 104 104 is my answer but I cannot say it's correct 144: is the right answer 104 is the right answer (D) 104 is correct answer 104 is the right answer. plz like my answer 104 is a correct answer 104 is the correct answer option (d) ,104 is the right answer option (d), 104 is the right answer 104 is the correct answer 104 is the right answer |
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| 16. |
(ଚତୁ ।I)|_5.ପାର୍ବସ୍ଥ ଚିତ୍ର 152 ରେ AB || CD ଏବଂ AD || BC । ଚିତ୍ରରୁx,y, ର ମାନ ସ୍ଥିର କର ।(ଚିତ୍ତି ।.52)C[29] |
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prove that the right bisector of a chord of a circle bisects the correspondingminor arc of the circle |
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5. The length of major and minor axes of theellipse 3x2 +2y2- 18 are |
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| 19. |
ve that the right bisector of a chord of a circle bisects the correspondingminor arc of the circle. |
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| 20. |
Tlthoninteenthterm of thethe value(s) of k for which the pair of linear equationehs sy and shy haveAP.infinitely many solutions |
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Answer» Equations given kx + y = k^2andx + ky = 1 Since the equations have infinitely many solutionsThuscomparing the coefficients of x and y k/1 = 1/k = 2k/1 thusk = +1 or -1k = +1/ root2 or -1/ root2 |
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Nidhi saves Rs. 2 on first day of the month, Rs, 4 on second day, Rs. 6 on third day and so on.Read the above passage and answer the following questions:(0 What will be her saving in the month of February?(ii) What value is depicted by Nidhi? |
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Answer» Let n = 29 daysd =common differencelet s = savings=n/2 (2a+(n-1)*2)s=29/2(2*2+(29-1)*2)s=29/2(4+28*2)s=29/2(56+4)s=29*2*60s=29*30s=870 |
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| 22. |
|9.Meeta saves?400 from her salary. Ifthis is 10%of her salary. What is her salary? |
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| 23. |
ho did liol vote. CuMeeta saves? 400 from her salary. If this is 10% of her salary. What is her salary?It lyon 25% of them. Howon |
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Answer» if 10 percentage is 400then 100 percentage will be 4000 |
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| 24. |
I UUGILFind any three amazing pattern of numbersFor Example (1)2 = 1(11)2 = 121(111)2 = 13234 12321(1111)2 = 1234321 |
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Answer» 1 x 9 + 2 = 11 12 x 9 + 3 = 111 123 x 9 + 4 = 1111 1234 x 9 + 5 = 11111 12345 x 9 + 6 = 111111 123456 x 9 + 7 = 1111111 1234567 x 9 + 8 = 11111111 12345678 x 9 + 9 = 111111111 123456789 x 9 +10 = 1111111111 |
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| 25. |
a) 150 cm2b) 152 cm2c) 154 cm2d) 156 cm2 |
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| 26. |
Find the curved surface area of a cone of radius 7 cm and height 24 cm.a, 440 cm2 b, 550 cm2c. 330 cm2d. 110 cm2 |
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| 27. |
A piece of wire is cut into two parts in the ratio 2:3. If the length of the longer piece is 81 cm.find the length of the shorter piece. |
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Answer» let X be the common multiplehence wire will be in 2x and 3xlength of longer piece that is 3x=81hence X=81/3=27cmhence shorter piece will be 2x=2*27=54cm |
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| 28. |
3 The outer and inner diameters of a circular ring are34 cm and 32 crn, respectively. Then, find the area ofCBSE 2011ring. |
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| 29. |
Find the area oi the minor segment of a circle of radius 42cm. if length of the correspondinare is 4icnm. |
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| 30. |
Salma borrowed from Mahila Samiti a sum of ? 1875 to purchase a sewing machine.ifthe rate of interest is 4% per annum, what is the compound interest that she has to payafter 2 years? |
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Answer» P=rs.1875R=4%T=2 years we know,A=P(1+R/100)^2=1875(104/100)^21875*104/100*104/100=2,02,80,000 CI=A-P=2028-1875=153 |
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| 31. |
Find five rational numbers betweenand |
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Answer» 19/30,20/30,22/30,22/30,23/30 |
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| 32. |
Nidhi asked Meeta to think of a number. Then she asked to double it to and add 8 to it. If the result was 36. what number did Meeta think |
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Answer» 36-8=28 is the right answer 28 is the correct ans 14 is the correct ans 28 is the correct answer 14is the correct answer...14×2 =2828+8 =36..meena think 14 number 36-8=28 is the best answer the number meena think is 14 28 is right answer of this question .please like my answer 28 is the correct answer 28 is the correct answer of the given question |
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| 33. |
20. Find the area of the minor segment of a circlc of radius 42cm, if length of the corresponding3arc is 44cm. |
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Answer» Like if you find it useful! |
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| 34. |
Find the area of the minor segment of a cdircle of radius 42em, if length of the corresponding arc is 443crn. |
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Answer» From which book have you taken this question? Please tell us so that we can provide you faster answer. |
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| 35. |
The perimeter of a parallelogram is 60 cmthe ratio of its adjacent sides is 3: 2. If thealtitude corresponding to the larger side of theparallelogram is 5cm. Find the area of the parallelogramand the altitude corresponding to the smaller side. |
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Answer» GivenRatio of side =3:2Perimeter =60cmAltitude =5cm So let take one side as 3x and other is 2x Then perimeter of parallelogram =3x+2x+3x+2x=10x According to question perimeter =60cm Then 10x=60cm X=60/10=6cm Then one side is =6 x 3=18 And other is =2x6=12 So base=18cm Area of parallelogram =bxh =18x5=90cm² Altitude corresponding to smaller side 90=12xh H=7.5cm |
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| 36. |
Find the area of the minor segment of a circle of radius 42cm, if length of the correspondingarc is 44cm.20.3 |
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Answer» Like my answer if you find it useful! |
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| 37. |
19. Findthe area of the minor segment of a circle of radius 42cm, if length of the correspondingarc is 44cm. |
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Answer» Radius = 42cmLength of Arc = 2πrtheta/36044 = 2×22/7×42×theta/360Theta = 60°Area of minor segment = πr²theta/360×1/2×r²sintheta.= 22/7×42×42×60/360×1/2×42×42×sin60° [ sin60°= ✓3/2] |
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| 38. |
Find fiverational numbers between 5and5 |
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| 39. |
Find the area of the minor segment of a circle of radius 42cm, if length of the correspondingarc is 44cm |
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Answer» Suppose r is the radius of the circle, and say a chord AB subtends an angle ∅ at its center O, then the Length of the corresponding sector,l = r∅. Given r = 42 cm and l = 44 cm => 44 = 42∅ => 22 = 21∅ => ∅ = 22/21 = π/3. Area of the sector so formed is given by A = 1/2*r²*∅ Area of minor segment is given by = Area of sector - Area of triangle OAB = 1/2*42*42*π/3 - 1/2*42*42*sin(π/3) =882(π/3 - √3/2) cm² Like my answer if you find it useful! |
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| 40. |
X. X,....X, are n observations such that3x = 400 andandx = 80 then the least MBi=1i=1value of n isIT AMC |
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Answer» a is the right answer n=7 is the right answer n=7 is the right answer n=7 is the right answer n=7 is the correct answer |
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| 41. |
65400รท x 400100 |
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Answer» 400 + (65/100)*400 Using BODMAS rule first we perform multiplication and then addition = 400 + 65*4= 400 + 260= 660 |
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| 42. |
Which angles are corresponding angles?POL and 2KLOLPOL and ZMLOPOL and 2M |
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Answer» angle POL and angle MLJ are corresponding angles option (4) is correct |
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| 43. |
Which angles are corresponding anglesFGI and 4CDGFGI and L.HGDFGI and EDGZFGI and ZCDB |
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Answer» angle FGI and angle CDG are corresponding angles (1) option is correct |
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| 44. |
pairs of corresponding angles |
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Answer» Pair of correspondings angles are supplementry angles those which are parallel to each other are corresponding angle those which are parallel to each other are corresponding |
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| 45. |
(x-400) \sqrt{3}=x+400 |
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Answer» Thank you |
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| 46. |
011. Find the area of the sector of a circle of radius 5cm, if the corresponding arc length is3.5cm(8.75 cm) |
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| 47. |
7. In Δ PQR, if LP-LQ = 42° and <Q-ZR21°. Find <P,LQ and < R. |
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| 48. |
19. Find the area of the minor segment of a circle of radius 42cm, if length of the correspondingarc is 44cm. |
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Answer» 1 2 |
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| 49. |
9. The diagram represents the area swept bythe wiper of a car. With the dimensions givenin the figure, calculate the shaded area sweptby the wiper.(a) 102.67 cm2b) 205.34 cm2(c) 51.33 cm2(d) Cannot be determined |
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Answer» tysm |
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343. Find five rational numbers betweenand55 |
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