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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. |
2sec A3. If sinA =ĺŻÂˇ find the rame of-tan24 |
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| 2. |
Example 5 The height of a cone is 16 cm and its base radius is 12 cm. Find thecurved surface area and the total surface area of the cone (Use π = 3.14). |
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| 3. |
A square and a rhombus stand on the same base. Which is of the greater area? Givereason for your answer8. |
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Answer» Area of rhombus will be equal to the area of square complete solution sir... |
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| 4. |
(9) Which figure would have a greater area:a square of sides 16 cm or a rhombuswhose diagonals are 16 cm each? |
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| 5. |
5 9 Coo+ 40SinA =Ml TG (0S4 Wiz Losee”) oआना दा करे N 6N3/ |
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Answer» i) Dividing both sides by 41, (9/41)*cos(A) + (40/41)*sin(A) = 1 ii) This is of the form, cos(A)*cos(B) + sin(A)*sin(B) = 1, where cos(B) = 9/41 and sin(B) = 40/41 iii) So, cos(A - B) = 1==> A - B = 2nπHence A = 2nπ + B iv) So, cos(A) = cos(2nπ + B) = cos(B) = 9/41csc(A) = csc(2nπ + B) = csc(B) = 41/40 Like my answer if you find it useful! |
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| 6. |
Triangle A: A right triangle with sides length 6, 8and 10Triangle B: An equilateral triangle with sidelengths 8.Which triangle has a greater area? |
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| 7. |
HorsoThe radius of cylinder l is 10.5 cm and its height is 21 cm. The radius and height of cylinderl are 21 cma10.5 cm respectively. Which of the two cylinder will have a greater volume? Does thegreater volume have the greater surface area too ?cylinder with the |
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Answer» Volume of cylinder 1=πr^2 h =(22/7)(10.5)^2 (21)cm^3 =7276.5 cm^3 Volume of cylinder 2= πr^2 h =(22/7)(21)^2(10.5)cm^3 =14553 cm^3 cylinder 2 has greater volume |
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| 8. |
75 mlConvert and express your answer in decimals.(a) 38 dam 46 cm to dam (b) 8 hm 350 dm to hm(d) 23 dag 96 cg to dag (e) 30 dL 5 mL to dL(c) 17 dg 6 mg t(f) 16 KL 35Ltou |
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Answer» 1 cm=0.1 dm38+4.6=42.6dm1dm=10^(-2)hm8+3.5=11.5hm 23+9.6=32.6dag 1 ml=0.01dm30+0.05=30.05dl |
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| 9. |
31325ml 10.161007. 13875 ml =9. 15325 mlConvert into ml4.31450 ml8. 121125 mlB.3. 21300 ml7. 171430 ml2.916 15 1950 ml1. 21561575 mloch 3 100 |
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Answer» 1) 2000ml2)9000ml3)2300ml4)7450ml 4 is the correct answer ...if you Like my answer I also Like your answer 1)2000 ml2)9000 ml3)2300 ml4)7450 ml5)6575 ml6)15950 ml7)17430 ml8)12125 ml 5)6575ml6)15950ml7)17450ml8)12125ml |
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| 10. |
Using clay, a student made a right circular cone of height 48 cm and base rstudent reshapes it in the form of a sphere. Find the radius of the sphereadius 12 cm. Another |
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| 11. |
ofo. The diameter of a right circular cone is 8 cm and its volume s 48 π cm. Find the height.theirvolumes.f the hase of a right circular cone İs 314 cm 2 and its height is 15 cm Find the volume |
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| 12. |
IIHowwouldbourthefolowingcomversionsRametheprocetyoubring adte te reactionhe processand write the reactioninvolved.a) Ethanol to cthaneb) Propanol to propanoic acid. |
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Answer» a) Ethanol to EthaneStep-1:-Dehydration of ethanol.CH3CH2OH + H2SO4 (+ heat) -----> CH2=CH2 (ethene) When ethanol is heated in presence of concentrated H₂SO₄,dehydration takes place to give ethene. Step-2:—Hydrogenation of ethylene.CH2=CH2 + H2 (+ Pt as a catalyst) ----> CH3CH3 (ethane) when ethylene is reacted with hydrogen in presence of nickel, ethane is obtained. b)Propanol to propanoic acid Propanol can be converted to propanoic acid by oxidation with potassium manganate.The equation is as follows: KMnO4CH3CH2CH2OH -------------> CH3CH2COOH |
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| 13. |
ofarightcircularconeis9856 cm.If the diamcter of the baseto0 indgheight of the cone(ii) slant height of the conecurved surface area of the cone |
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| 14. |
A right circular cone of radius 3cm has a CSA of47.1 cm^2.find the volume of the cone. |
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| 15. |
The volume of right circular cone is 9856 cm3. If the diameter of baseis 28 cm. Find(i) Slant height of the cone.(ii) Height of the cone.(ii) Curved surface area of the cone |
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| 16. |
23.The volume of right circularcone is 9856 cm3. If the diameter of baseis 28 cm. Find(i) Slant height of the cone.(ii) Height of the cone.(ii) Curved surface area of the cone. |
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| 17. |
frustum of right circular cone |
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Answer» Ans :- Volume of aFrustumof a RightCircular Cone. Afrustummay be formed from a rightcircular coneby cutting off the tip of theconewith a cut perpendicular to the height, forming a lower base and an upper base that arecircularand parallel. PLEASE LIKE AND SHARE THIS APP |
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| 18. |
The volume of a right circular cone is 9856 cm2. If the diameter of the base is 28 cm,find0 height of the cone(ii) curved surface area of the cone(ii) slant height of the cone |
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| 19. |
Define right circular cone in short. |
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Answer» Right circular cone is a circular cone whose axis is perpendicular to its base |
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| 20. |
81 - 16 x ^ { 2 } |
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| 21. |
1-3/4 -3/220. Prove that(8116 |
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| 22. |
NCERT EXEMPLAR] ASan be made out of a solid cube oflead radINCERT EXEMPLARI A11. How many spherical lead shots of diameter 4 cm can be made out of a solid owhose edge measures 44 cm.2¡4-5 aro melted and converted intome |
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| 23. |
TEST YOUR SKILLS1. If A, B and C are three points on a line, and 'B' lies between 'A' and 'C' (as shown in the figure),then prove that: AB + BC = AC+в |
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Answer» Point A,B and C are collinear point hey a,b and b is collinear poi yrr if the equal are subtracted from equal the remainders are equal |
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| 24. |
iswingwordproblems.1.What is the length of the edge of a cube whosevolume is 729 cm3?2.Find the volume of a cube each of whose edge measures 4.3 cm. |
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| 25. |
2. How many spherical balls can be made out of asolid cube of metal whose edge measures 44cm, each ball being 3 cm in radius? |
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| 26. |
Show that the volume of a cube, whose each edge measures 12 m (i9times the volumeof a cuboid of dimensions 8 m x 6 mx4m. |
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| 27. |
5. If a+b = c,lā= 15,16= 12, (c)= 3, then theangle between b and e is :(a) 30°(b) 45°(c) 60°(d) 90° |
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| 28. |
2. एक आयत की चौड़ाई को 80% से बढ़ा दिया जाता है। इसकीलम्बाई को कितने प्रतिशत से घटा दिया जाए, जिससे क्षेत्रफलपूर्ववत रहे?(b) 485%(d) 45%(c) 445%(e) इनमें से कोई नहीं |
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Answer» 180(100-x)=100×100or (100-x)=500/9or x=100-500/9or x=400/9 |
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| 29. |
(D) 7x 13+ 13 is a pHIllWhich of the following is true for teprime numbers?(A) Their H.C.F. is 1.(B) Their LC.M. is 1.C) Their HCF. is equal to their productD) Their L.CM. is twice their H.CF20ifforence of the L.C.M.and HCEd |
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Answer» take 2 and 3 HCF is 1. so A) option is correct |
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| 30. |
16.8116(a)1(6) 731(c) 1625(d) 2031 |
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Answer» Answer:d)2031Explanation: 1.(5×3)+1=15+1=162.(5×16)+1=80+1=813.(5×81)+1=405+1=4064.(406×5)+1=2030+1=2031 |
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| 31. |
ts . Altitude te tunice -dhe camuspending base-Eind the ft.ltitude f dhlăźăźpanalltgag |
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Answer» If you find this solution helpful, Please like it. |
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| 32. |
the ineandpanale! then A |
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Answer» the lines are parallel if the slopes are equalthat is m1=m2 |
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| 33. |
olve the following equation : (f배冊TE㈣x2(x2) (x -2)x12= x |
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Answer» hit like if you find it useful |
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| 34. |
EXAMPLE 1.2lf f(x) = x,TE R, then find its range.OLUTION: |
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Answer» how can you explain me bro why there is infinity here make me understand clearly infinity means it can to any value like if you put x= 1 billion its sqaure is billion square which is very large value so it go to very large value that's why infinity is written there. |
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| 35. |
) From the top of a tower of height 50 m, the angles of depression of the top and bottoniof a pole are 309 and 45° respectively. Find the height of the pole. 3 1.73)ket ore 14 cm and 7 cm. Height |
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| 36. |
AE is height of buildingBP is height of towerAB is distance between themFind height of the tower7.45 CE.10mt100mt |
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| 37. |
If the sum of squares of zeroes of the quadratic polynomial f(X)2-8x + kis 40. Find te valued k |
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Answer» addition of roots=8=a+bmultiplication of roots=ab=know a^2+b^2=40a+b=8so a^2+2ab+b^2=6440+2k=64so 2k=24so k=12 bhai smj me nahi aay |
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| 38. |
60. The difference between thesimple and compound interest onRs. 4,000 for 2 years at 10% perte}annum is :2 f |
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| 39. |
BC is right angled atA(Fig 11.25). AD is perpendicular to Bte 13 om and AC- 12 cm. Find the area of AABC. Also f |
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Answer» ∆ABC is right - angled at A. so, BC is definitely hypotenuse.let AB is base and AC is altitude of ∆ABC.given, AB = 5cm , BC = 13cm and AC = 12cm now, area of triangle ∆ABC = 1/2 × base × altitude = 1/2 × length of AB × length of AC = 1/2 × 5cm × 12cm = 30 cm² hence, area of ∆ABC = 30cm² area of ∆ABC = 1/2 × length of AB × length of AC = 1/2 × length of BC × length of AD=> 5cm × 12cm = 13cm × length of AD => 60/13 = length of AD hence, length of AD = 60/13 cm |
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| 40. |
te.. + Îą (d)-1)1cot-co(a) 0(b) 1(e) 2 |
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| 41. |
on a highway Ine car stast thomA and anobher staxt fromat he sane kine f lhetravel in he save drec kionmeet in hr tind he speed ofnah las |
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Answer» Givenlet car A & B speed be x & y respectivelynow from questionfor opposite direction2x+2y=160or x+y=80 now for same direction8x=8y+160or x-y=20 solving both equationwe findvelocity of A=x=50km/hvelocity of B==y=30 km/h please like the solution 👍 ✔️👍 |
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| 42. |
(B) 73115 +180+1405+12030 + 1te (A) |
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Answer» 16814062031 |
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| 43. |
Amisture consiats of only two components A and B. 1In 60 litres of thia miture, the cosponents Aand B are present in the ratio 2: 1. What quantity of component B has ta be aulded te this misturete that the new ratio is 1:27 |
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Answer» Quantity of A in the mixture = 60 ×2/3 = 40 liters Quantity of B in the mixture = 60× 1/3 = 20 liters Let the quantity of B added to the mixture be x 40/20 + x = 1/2 or x = 60 liters |
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| 44. |
1. Verify the commu() and te |
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Answer» 5 by 8 into ( 7 by 12 multiple karo 5 by 8 into ( 7 by 12 multiple karo bro answer ayega 35 by 96 35/96 is correct answer |
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| 45. |
ŕ¤ŕ¤ż...x+1 t y+2 = % TE- gz |
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| 46. |
अदाहरण 5. निम्न समीकरण को हल कीजिए :tan-1 8+ tan-1+1= TEने या पापीकरण से।|-2+2 |
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| 47. |
Draw a pie-dragram to represent the above data.MTT Los monthly income is #15000. Out of this money, he spends 21875 on rent, 23250 on fo1125 on children's education, 2250 on miscellaneous4. Mr. Roy'sand the rest he saves.Draw a pie chart to represent the above information.different brands of bathing soaps |
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| 48. |
Higher Order Thinking Skills (HOTS). If 8 labourers can earnき9000 in 15 days, how many labourers can earn 6300 in |
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| 49. |
the radius of a metallic cylinder is 3 centimetre and its height is 5 cm It is melted and moulded into the small scones each of height 1 cm and base radius 1 mm how many search cones are formed |
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| 50. |
Higher Order Thinking Skills (HOTS)8. I as a Roman numeral, am CMXCIX.Break me up and then can you recognise me? |
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Answer» 999 is the correct ans 999 is the correct answer 999 is correct answer 999 is the answer of the question 999=CMXCIX=1000 − 100 + 100 − 10 + 10 − 1 999 is the correct answer 999 is the correct answer 999 is the correct answer of the given question |
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