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. |
3 Show thax if the diagomals of a quadrilateral bisect each other at right angles, then t |
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1. The diagonals of a rhombus bisect each other at right angtes. Use this fact to find the areaofthe rhombus whose diagonals are of lengths 8 cm and 6 cm.m |
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ä¸7uss shzzs |
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| 4. |
18 cm5cmx cm |
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AC. Show that AD bisects BC.AD is an altitude of an isosceles triangle ABC in which ABo shour thot the diagoals of a sauare are equal and bisect each other at right angles. |
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Answer» Like if you find it useful Plzz replay my answers |
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| 6. |
EXERCISE 8.122,angles of quadrilateral are in the ratio HSquadrilateral.-tg. Find all the angles of theals of a parallelogram are equal, then show that it is a rectangle.nt right angles, then it |
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Answer» ratio of the first angle = xratio of the second angle = 2xratio of the third angle = 3xratio of the fourth angle = 4xNow sum of all the angles is 360so we can write it as x+2x+3x+4x = 360 10x = 360 x = 360/10 x = 36first angle is 36 second angle is 2x = 72third angle is 3x = 108fourth angle is 4x = 144hence the angles of the quadrilateral are36,72,108,144. The angles are 36, 72, 108, 144. |
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| 7. |
als aicaRig |
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Answer» Here centre point is origin.So C=(0,0)now one point is A=(3,-2)suppose second point is B=(x,y)so (0,0)=(A+B)/2 because centre point is between both the pointsso (0,0)=((3,-2)+(x,y))/22*(0,0)=(3+x,y-2)x+3=0,y-2=0x=-3,y=2so another point is (-3,2) |
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| 8. |
ollowing polynomi als |
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Answer» GivenP(x) = x^3 Therefore,P(0) = (0)^3 = 0P(1) = (1)^3 = 1P(2) = (2)^3 = 8 |
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| 9. |
Find theollowina poly nomi als. |
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Answer» P(0)=0P(1)=1^3=1P(2)=(2^3)=8 |
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| 10. |
HCF of bra, and als 4 usingbuclide division lemma method |
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Answer» so . Heck at 3731 and 9154 -M plz like my answer so. heak at 3731and 9154-M plz like my answer and accepted as best |
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| 11. |
6.How many right angles do you make if you start facing(a) south and turn clockwise to west?(b) north and turn anti-clockwise to east?ar(c) west and turn to west?(d). south and turn to north?Where will the hour hand of a clock stop if it starts(a) from 6 and turns through 1 right angle?(b) from 8 and turns through 2 right angles?(c) from 10 and turns through 3 right angles?(4) fom 7 and turns through 2 straight angles?7. |
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Answer» a) 1 right angle b) 3 right angles c) 4 right angles d) 4 right angles |
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| 12. |
(c) west anu(d) south and turn to northWhere will the hour hand of a clock stop if it starts7.(a) from 6 and turns through 1 right angle?(b) from 8 and turns through 2 right angles?(c) from 10 and turns through 3 right angles?(d) from 7 and turns through 2 straight angles? |
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| 13. |
Prove that the sum of theangles of a quadrilateral is equal to four right angles |
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| 14. |
THINK, DIsCUg0Can you have a triangle with two right angles?an you have a triangle with two obtuse angles?Can you have a triangle with two acute angles? |
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Answer» • No• No• Yes. |
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| 15. |
Is it possible to have a polygon, whose sumof interior angles is :() 870°(ii) 2340°(iii) 7 right angles ? |
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Answer» yes it is possible to.have a polygon of this given following angle870°2340° yes it is possible to have a polygon of this given following angle 870,2340 Yes, it is possible to have a polygon, whose sum of interior angle is: 1) 870° yes its possible......... let n be the no of sidetotal internal angle= (2n-4)rt anglen=6=(2×6-4)×90=720n=7= (2×7-4)×90= 10×90=900n=8= (2×8-4)×90=12×90= 1080n=9=(2×9-4)90= 14×90=1260n= 15=(2×15-4)×90=26×90 only 2nd option is correct only b is the correct answer yes, it's possible to have a polygon of this given following angle - 870°, 2340° option b. is the correct answer |
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| 16. |
12. In a parallelogram, show that the angle bisectors of two adjacent angles intersect at right angles. |
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| 17. |
FIND THE ARE A OF THE SHADE D PARTIF SIDES OF SAUARE 1S SO CmS 5cmScncmcmryscmScm |
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| 18. |
The volume of hemisphere with radius 1.21SCm |
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Answer» Volume of hemisphere = 2/3 × pi × r³ 2/3 × 3.14 × (1.2)³ = 3.61 cm³ |
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| 19. |
A girl buys lemons at 4 for Rs. 3 and sells them at5 for Rs. 4, How much did she gain or loss? |
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| 20. |
(4) Prove that in a parallelogram the angle bisectors oftwo adjacent angles intersect at right angles. |
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| 21. |
i) radius of the base and (ii) total surface area of the cone.A conical tent is 10 m high and the radius of its base is 24 m. Find(i) slant height of the tenti) cost of the canvas required to make the tent, if the cost of 1 m can4. |
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| 22. |
(v) -—4+5y =7; ——3+4y =5X x |
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Answer» Please hit the like button if this helped you. |
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| 23. |
2y +3 -4y;.; 3y +2 6рее : |
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| 24. |
55.A park is 1500 metres long and 750 metreswide. A cyclist has to take four rounds ofthis park. How much time he will take at thespeed of 4.5 km/h?(A) 40 hours (B) 20 hours(C) 10 hours (D) 4 hours |
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Answer» how much time he will take at the speed of four Hours(d) 4 hours is the right answer distance=18km,speed=4.5km/h, time =distance/speed, time =18/4.5=4 approximately I think 4 hours 4 hour is the correct answer 4 hour is the correct answer of your question 4 hours is the correct answer i answer is d 4 hours 4hour is correct answer 4 hours is right answer your questions as he will take round At the boundary so..,p=2(l+b) =2(1500+750) =2×2250 =4500m =4500×4 =18000÷1000 =18km d=speed × time18=4.5×time18÷4.5=timetime=4 hrs. 4 hours are right answer 4 hours is the correct answer 4 hours is the right time The total distance of the park is 2(l+b) =2×(1500+750)=4500mTime= Distance travelled/Total time takenFor four round,T=(4500m/4.5km/hr)×4T=1hr×4T=4 hour a)40 hours is the right answer for this question (D) 4 hours is the best correct answer 20hours.......................... 4 hours is the correct answer a)40 is the correct answer for this question 4 hour is correct answer of your questions 4 hours is right answer 4 hour is a answer beacause distance =18kmspeed =4.5m/htime =distance/speed, time =18/4.5=4so answer is 4 (a) 40 hour lagega ji 40hour 4 hours is the right answer 4 hours he is the take hot the speed of 4.5 kilometre per hour 40 answer Is the correct 4 hours hai bro it is true 4 hour is the right answer 4hour is the right answer 4hour is correct answer and so plz like it is very simple it's answer is 10 hours it's answer is (c)10hours it's answer is very simple 10 hours Let's go with option D. let's go with option D.. the answer is D) 4 hours ✓(B)20 hours 🖤hope you understand Ratan , thanks for such a beautiful question.keep studying d........................... 4hour is the correct answer option 4hour is right answer Option D is the correct answer 4 hour is the correct answer 4hours because he Will take the four rounds (D) is the correct answer 20 Hours ...................... 4 hours is correct answer answer d... 4 hours I think 4 hours is the correct Answer 4 hrs I think my answer approximately l think 4 hours 1500 meters 4.5+4.59.01500=9.0÷3=4time=4hours answer is 4 hour's is questions d is right answer an that question 4 hours he will take at the speed of 4.5 km/h perimeter of the park is = 2(l+b) = 2(1500+750) =2×2250 =4500 metres =4.5 kilometers his speed =4.5km/h therefore 4 rounds = 4 hrs option D is correct He will take round at the boundary so the answer p=2(l+b)=2(1500+750)2×22504500m =4500×4=18000÷1000=18 km d=speed×time18=4.5×time15÷4.5=timetime =4hrs answer for this Question iS a(40) hours 4 Hours is the correct answer. 4 hours is the answer 4 hour is the right amswer 4 hours is the right answer. 4 hour is my answer this is right answer distance = 18km, speed=4.5 time= 18/ 4.5 = 4 4 hours is the answer distance = 2×4(1.5+0.75) =18kmspeed= 4.5 km/hr hence, time =distance/speed =18/4.5 =4 hrs 4 hour is the correct answer of the question The Answer is (D) 4 hours 4 hrs is the right answer of this question Distance =18kmSpeed =4.5km/hTime =distance /speedTime=18/4.5Time =4 hours (c) 1500 metres long and 750 metres ans. (b)20 hoursbecausepark of perimeter=perimeter of rectangle=length×breath=1500×7501125000m.1km=1000m1125000=1125000÷1000=1125km.cycle has to take one round of this park=1125÷4.5÷60=5 hourscycle has to take 4 round of this park=5×4=20hours 4hours is right answers my answer of this question is 4 hours |
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4. 28 pears that a fruit-seller had bought forRs 3.60 each, begin to spoil. So they are sold toa stablehand at a loss of 45 %. How muchmoney did the stablehand pay to the fruit-seller?5. What is the |
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Answer» Cost of one pear = 3.60Cost of 28 pears = 28*3.60= 100.8 Price at which pears sold to stablehand= 100.8(1 - 45/100)= 100.8(11/20)= 55.44 Therefore, stablehand pay Rs 55.44 to fruit-seller |
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| 26. |
6. A vendor buys lemons at25 per dozen and sells them at the rate of 5 for? 12. Find his gainor loss per cent.Hint. Sappose he buys (12x5)60 lemons |
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Answer» thanks buddy |
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| 27. |
3.A fruit seller had some apples. He sells 40% apples and still has 420 apples. Onginally, he had |
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| 28. |
A man buys lemons at 6 for Rs. 10 and sells at 8 for Rs. 15. Find his gain percent. |
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Answer» Given that he buys lemons at 6 for 10. Then the cost price of 1 lemon = 10/6 = 1.6 Given that he sells at 8 for 15. Then the selling price of 1 lemon = 15/8 = 1.8 We know that Gain = Selling price - cost price = 1.8 - 1.6 = 0.2. We know that Gain% = Gain * 100/CP = (0.2 * 100)/ 1.6 = 12.5%. Therefore the gain % = 12.5. |
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| 29. |
1 A fruit seller had some apples. He sells 40% applesand still has 420 apples. Originally, he had: |
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| 30. |
A girl buys lemons at 4 for 3 and sells them at5 for R 4. How much did she gain or loss? |
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| 31. |
urigth of an arc of this circle, if the length of theis travelling on a circular curve of 1500 metres radius at the rate of 6le are 1S 30 Cm.km/hr. Through what angle has it turned in 10 seconds?Find the distance from i |
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Answer» answer is wrong |
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| 32. |
11) What is the ratio of Milky Way radius to oursolar system radius given that, the distancefrom Pluto to sun is 5.9 1012 metres andthe Milky Way disk radius is. 3.9 x 1020metres? Round off coefficient to thenearest tenth. |
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Answer» thanks |
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| 33. |
A train is moving on a circular curve of radius 1500 m at the rate ot 66 kper hour. Through what angle has it turned in 10 seconds? |
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| 34. |
8. How many metres of cloth, 2.5 m wide will be required to malconical tent whose base radius is 7 m and height 24 metres? |
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| 35. |
9. If the diagonal of a square ismetre, then its area is |
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Answer» diagonal =a.√2(a= side)√8=a.√2a=√8/√2a=√4a=2Area = 2×2area =4metre square area of square =1/2×(diag.)² =1/2×(√8)² =1/2×8=4 therefore 4m² is the area of given square 8 hoga............... a=√8/√2a=√4aa=2a=2x2A=4ms area of square =1/2×(diag.)1/2×8=4 Diagonal of a square= √(2)×side =8 √(2) cm = √(2) × side side = 8 √(2) cm/ √(2) side = 8 cm. area of a square = side × side = 8 cm × 8 cm = 64 cm ^2. the area is equal to 4 meter diagonal of square = a√2 = √8so area a^2 = 4m^2 1/2×diag of squre=1/2×ander root 8 square 1/2×8=4 the area of the given square = 4m square we know that ,all the sides of the square is equal to each other and it have four sides then 4*8=32m square hence the area is 32meter square formula of area of square when diganol is given is 1/2*d^2 so the answer is 4m^2 d=√8mlet the sides of square be 'x'm.by using Pythagoras theorem,x^2 + x^2 = √8^22x^2=8x^2=8/2=4x=√4=2 so, x=2m area = s×s =2×2 =4m^2 diagonal is =a√2√8=a√2a=2area =2*2=4 seval fungi is useful 4m2 diagonal angle is equal to 8 into root 2 area for square is diagnol root 8 meter is 4 meter square area = 4 meter square the diagnol of a square is given by a√2where a is the length of the side of square (you can get it with the help of Pythagoras theorem)now given a√2=√8 =>a=√4 =>a=2(-ve side is not possible) so now area of the square =a×a=2×2=4 sq units this answer would be 4 area will be 4 metere diagonal is √8Formula of diagonal isa. √2then √8= a.√2a = √4a= 2 now area of a square is side square therefore 2^2 = 4 m square 4×8=32m^2 this is answer area of square =1/2*(digonal)^2 =1/2*(2√2)^2=4m^2 diagonal =a.v2(a= side) /8=a.v2 =V8/2 =V4 a=2Area = 2x2 area = 4metre square a=8/2 a=4aa=2A=4ms Ans=4m² of this question.formula--1/2*(diagonal)² The correct answer for this is 4 4 metre square is the correct answer. diagonal of square= √2×aor, √8 = √2×aor, a =√8/√2 =√4 =2marea of square =a^2 =(2m)^2 =4m^2 area is 4m² I have not shown the process Area of square will be 4 meter square area of square =1/2*(diag)2=1/2* (✓8)2 4 metre sqare are right Suppose that the diagonal is 8. Square 8, so you will get 64. Now divide 64 by 2, you will get 32. side 2, so area will be 15 4 metre square is the answer area is 4 metre square sab galat hai answer area of sqr= 1/2× d^2 =1/2×√8^2 =4 m diagonal =a.2½(a=side)then a=2Area is 4 Area 4 metre square I think area of Square should be 4m² diagonal of square=√ 2a8=√2aa=8/√2area of square=( 8/√2)^2 =32 cm ^2 the area of square 🔲 is 4 metre square the area of square is 4 metre square area of square is 4m sqyare it's area will be 4 square meter answer is 8 because formula of area of square is =A.A the area equal to 4 . Area is 4because perimeter =a√2 8√(2)cm=√(2)*side. side=8√(8)cm/√(2)side =8cmarea of square=side*side8cm*8cm64cm ^2 √2a=√8a=√(8/2)a=√4a=2 area of square=1/2×[diagonal×diagonal]so area=1/2×√8××√8 =4 side=√8÷√2=4area=4×4=16 diagonal = a.√2(a=side)a√2=√8a= 2√2/√2a=2 area= 2×2 = 4 metre squre 4hoga.................. |
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| 36. |
(2 Solve the following equations.3 ~y=iTix i sy= 3 । |
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Answer» you can go to Google for the best answer 3x-y=7 --------(1)×4x+4y=11------(2)12x-4y=28x+4y=11by adding 13x=39x=39/13=3putting the value of x in eq2x+4y=113+4y=114y=11-3=8y=8/4=2 y=3,x=3 is the correct answer X=2, Y=3 is the best answer 3x-y=7 3x=7+y x=7+y/3 x+4y=11 7+y/3+4y=11 7+y+12y/3=11 7+13y=33 13y=33-7 y=26/13 y=2 and 3x-2=7 3x=7+2 x=9/3 x=3 x=2,y=3 is right answer fot this question |
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| 37. |
15x A railway train is travelling on a curve of 1500 m radius at the rate of 66 km/hrThrough what angle will it turn- in 20 seconds |
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Answer» speed in m/s = 66*5/18 = 55/3 m/s Arc length is v×t = 55*20/3 = 1100/3 m so, arc length is = 2πR∅/360° and ∅ = Arc length *180°/π*R = [(1100/3)/(π*1500)]×180° = 14.01° |
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| 38. |
3. Solve the following equations:(2y+3)-(4y +7).2 - 4 |
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Answer» 4/3 is the right answer (2y+3) - (4y+7)/2y -4 =5(2y+3) - (4y+7) = 5(2y-4)2y+3-4y -7 = 10 y -20-2y -4= 10 y - 20.12 y = 16y = 16/12y = 4/3 4---- 3 is correct answer 4÷3 is right answer plz like my answers I like yours answer 4/3 is the correct answer |
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| 39. |
1. If Va b (), then find x. (a > 0, b > 0) |
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Answer» a⅓.b½ = (x)^(1/6) so, x^(1/6) = (a²)^(1/6)× (b³)^(1/6)=> x^(1/6) = (a²b³)^(1/6) so, x = a²b³ |
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| 40. |
T3/Find the value of k for which x= 1 sa root of the equation x2+kx +3-0.peqatievaluesofaandbforwhichx|andra-2aretherootsoftheAlso, find the other root.Find the vaequation ax+bx-60Solpe eacl cit |
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| 41. |
VOOR243 daysComplete.3 years =dayshoursThe average lifetime of a |
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Answer» 1 year = 365 days3 years = 3 × 365 days = 1095 days |
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| 42. |
Find the volume of the cone whose diameter and slant height are 24 cm and 37 cmrespectively. |
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Answer» Like if you find it useful |
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| 43. |
uradius 3.5 cm, height 12 em0 the capacity in litres of a conical vessel with(ii) height 12 cm, slant height 13 cmradius 7 cm, slant height 25 cm |
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| 44. |
and m are two lineanother pair of parallel linesarallel lines intersected byp and qo 7.19). Show that Δ ABCΔ CDA.(see Fig. |
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| 45. |
. Find the capacity in litres of a conical vessel withradius 7 cm, slant height 25 cm (ii) height 12 cm, slant height 13 cm |
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| 46. |
Find the capacity in litres of a conical vessel withradius 7 cm, slant height 25 cm(i) height 12 cm, slant height 13 cm |
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| 47. |
Find the capacity in litres of a conical vessel with0 radius 7 cm, slant height 25 cm (i) height 12 cm, slant height 13 cm |
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| 48. |
1.1TEEHow many terms of the series 42, 36, 30.....amount to 150 ? |
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Answer» Formula: Sn(Sum of nos. till nth term)=n/2(2a+(n-1)*d) Here: First term ‘a' is 42. Difference ‘d' is -6. Sn =150 Substituting values in the equation: 150=n/2(2*42+(n-1)8(-6)) 300=n(84+(n-1)*-6) 300=n(84-6n+6) 300=90n+6n² Dividing equation by 6: 50=15n+n² n²+15n-50=0 Solving for n we get: n=5 and some negative answer. But n cant be negative so,n=5 So the number of terms is 5. |
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| 49. |
Eind the length af the diagonal o a squwhose Side is a |
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Answer» Thanks😄 |
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| 50. |
Find the least number which must be added to 6412 to make it a perfect squ |
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Answer» but I found this problem I got 149 |
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