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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. |
Simplify each of the following by rationalising the denominator.6-4√2A6+412√7-√5Ti + √5iii) 312 - 253 |
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| 2. |
1wSy binkie âŹ17 L SEIEY Bl Lkt (-oy a6 (L 1) Do) s My DUE Uil By e 81 |
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| 3. |
. Find the sum of the first 15 terms of the list whose nth term is given by a6-n72 |
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Answer» thanks |
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| 4. |
AM is amedian of A ABC. Prove that (AB + BC +CA)> 2AM.int. (AB+BM) > AM (In ΔΑΒΜ)(AC + MC) > AM (In Δ ACM)Now, add the two inequalities. |
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| 5. |
b) altitude colrespondimb5. The adjacent sides of a parallelogram are in the ratio 5:3. Ifthe longer of the two sides is 7.5 cm, find the perimeter of theparallelogram |
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Answer» Ratio of adjacent sides=5:3Longer side=7.5cmLet Shorter side=x7.5/x=5:37.5*3/5=xx=4.5Perimeter=2*4.5+2*7.5=2(4.5+7.5)=2(12) =24cm |
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| 6. |
23. In Fig. 6, O is the centre of the circle with AC- 24 cm, AB -7 cm andZBOD -90°. Fi 3.14]nd the area of the shaded region. Use π : |
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| 7. |
2)Prove that in a AP : am+n + am-n-2am |
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| 8. |
The perimeter of a quadrilateral is 12$ \frac{5}{6} \mathrm{cm} . $ If its three sides are respectively $ 2 \frac{3}{4} \mathrm{cm}, 4 \frac{5}{12} \mathrm{cm} $and 2$ \frac{1}{2} \mathrm{cm} . $ Find its remaining side. |
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Answer» Perimeter=Sum of all sides77/6=11/4+53/12+5/2+xTak LCM of 6,4,12,2= 1277(2)=11(3)+53(1)+5(6)+x(12)154=33+53+30+12x154=116+x154-116=xx=38cm |
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| 9. |
In figure, a triangle ABC is drawnto circumscribe a circle of radius2 cm such that the segmentsBD and DC into which BC isdivided by the point of contactD are the lengths 4 cm and 3 cm Brespectively. If area of AABC 21 4 cm D 3 cmcm, then find the lengths of sides AB and AC. |
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| 10. |
You may use this as a formula in doing probleExample 1312 cm and 4 cm respectively.:Find the area of a rectangle whose length and breadth are |
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Answer» Area of a rectangle= Lenght×BreadthSo, Here, Length= 12cmBreadth=4cm =(12×4)cm=48 cm (ANSWER) |
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| 11. |
II. In the given figure, O is the centre of the circle withAC = 24 cm, AB = 7 cm and ZBOD-900, Find thearea of the shaded region. [Use #3.141 [AI 2012] |
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| 12. |
A car is purchased for? 348000. Its value depreciates at 10% per annum during the firstyear and at 20% per annum during the second year. What will be its value after 2 years? |
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| 13. |
348000. Its value depreciates at 10% per annum during the firstyear and at 20% per annum during the second year. What will be its value after 2 years?29, A car is purchased for |
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| 14. |
29. A car is purchased for? 348000. Its value depreciates at 10% per annum during the firstyear and at 20% per annum during the second year. What will be its value after 2 years? |
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| 15. |
30°. Calculate the lengths of side BC andIn a rectangle ABCD, AB = 12 cmn and LBACdiagonal AC. |
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| 16. |
s. A car is purchased for 348000. Its value depreciates at 10% per annum during the firstyear and at 20% per annum during the second year. What will be its value after 2 years? |
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| 17. |
In a rectangle ABCD, AB = 12 cm and BAC = 30°. Calculate the lengths of side BC anddiagonal AC. |
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| 18. |
14 Marks]A(T From the information given in the figure, find thexlengths of all sides of âĄABCD. The area of thetrapezium is 33 cm2 and side AB || side DCx -2(r 4) |
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| 19. |
Factorise a6 - 512b |
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| 20. |
P i 4 it gl a6 s i |
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Answer» If you like the solution, Please give it a 👍 |
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| 21. |
d) Find the perimeter of the Parallelogram PQRS.Pacmacm |
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Answer» perimeter=2(a+b) = 2(6+12) =2×18 =36 |
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| 22. |
In a rectangle of perimeter one metre,one side is 5 cm longer than the other.what are the lengths of the sides? |
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Answer» Given that perimeter of rectangle is 1m or 100cm and let one side be x, therefore other must be = (x+5) cm Perimeter of rectangle= 2(l + b) 100= 2(x +(x + 5))50 = 2x +52x = 45x = 22.5 cm Therefore sides of rectangle are 22.5 cm and 27.5 cm |
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| 23. |
other sideThe sides of a triangle are 3 em, 4 cm and 6 cm.Determine if it is a right-angled triangle.2.oos7m due north and then 24 m due 9 |
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Answer» It is not a right angled triangle becausesquare of hypotenuse=sum of squares of other two sideshere 6 is hypotenuse and 3,4 are other side's6 square=3 square+4suare36=9+1636 is not equal to 25so it is not a right angled tiangle. thanks |
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| 24. |
AM is a median of A ABC. Prove that (AB +BC+CA)> 2AMFlint. (AB+BM) > AM (In ABM)4.(AC +MC) > AM (in ACM)Now, add the two inequalities |
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| 25. |
5. In the given figure, o isthe centre of the circle withAC 24 cm, AB = 7 cm and<BOD = 90°. Find the area ofthe shaded region.c(Use-3.14][AI 2012] (3) |
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| 26. |
. प्रेक्षणों 5, 5, 5, 5 व 5 का मानक विचलन क्या है? |
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Answer» a correct answer is. 5/5 |
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| 27. |
give length and breadth of the rectangle are 6.2 CM 4 cm respectively find the area of perimeter of the rectangle |
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Answer» area=l x bA=6.2×4A= 24.8 cm² perimeter= 2l + 2bP= (2×6.2) + 2(4)P= 12.4+ 8P= 20.4 cm pls do like these 👏 20.4 cm is the correct answer. Area of rectangle =l*b=6.2*4=24.8cm 24.8 cm^ 2 is the correct answer of the given question 24.8 cm ^2 is the correct answer area=12.8cm squareperimeter=20.4cm 24.8 cm^2 1 is the correct answer |
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| 28. |
G-z |APz |Fiod s copadiiy.04 92 की 2एन उन]लि [उ उन्ना लिहररट सहारा = "lé 7~ h (J‘J AT 9, 21 |
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| 29. |
5-5*5+5 |
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Answer» Explanation : By BODMAS rule 5 - 5*5 + 5 = 5 - 25 + 5 = 10 - 25 = -15 Solution : -15 If you find this answer helpful then like it. |
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| 30. |
use8»-laut (i) is from 12 (1) 20 from 252 10 from ars. |
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| 31. |
Divide 3000 into two parts such that the simple interest on the first pper annum is equal to the simple interest on the second part for 2 yeart for 4 years at 8%ars at 9% per annum.24. |
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| 32. |
3 l ( l - 4 m + 5 n ) \text { from } 4 l ( 10 n - 3 m + 2 l ) |
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| 33. |
Find the value ot 4co1 a6-3 cor2o |
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Answer» 4cos^3 A - 3 cos A= cos3Aso,4cos^3 (20°) - 3 cos (20°)=cos 60°=1/2 |
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| 34. |
if the extremities of the base of an isosceles triangle are the points (4,0) and (0,2) and the equation of one of its side is x=4, then find the area of the triangle. |
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Answer» put a=2area=5*4/2=10 m^2 |
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| 35. |
e points (3,-4) and (-6, 2) are the extremities of a diagonal of a parallelogram. If theianl are (1 1. (2.-3) andvertex.42. Thvertex is (1,-3). Find the coordinates of the fourth vertex. |
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| 36. |
JAn equilateral triangle, with sides of 10 inches, is inscribed in a square ABCD in such a way that oneVertex is at A, another vertex on BC and one on CD. The area of the square is1 |
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Answer» gf0Tjksksjshdvdieiwnssn8sossns |
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| 37. |
Determine the area of a square with side lengths of 13 inches. Do not include units inyour answer. |
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Answer» Length of square =13 inchesArea of square =4*Lenght of side Area of square = 4*13Area of square =52 inches area of square = (side)^2 =(13)^2 = 169 169 is the correct answer |
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| 38. |
rise 27.31 Calculate a.-acm4 cmarea = 20 cm- 6 cm |
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Answer» a6 because it is look like a trapezium.area of trapezium.. 1/2(a+b)h sorry answer is 4 I am not see question carefully 4 will be the correct answer |
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| 39. |
11. Calculate the perimeter of given figure-4 cm9 em3 cm3 cm1 cm |
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Answer» by adding all the lengths of the figure ie., 4,3,3,1 and 9 we get 20 therefore the answer is P= 20 C.M |
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| 40. |
The edges of two cubes are 8 cm and 4 cm respectively. Calculate thetheir surface area? |
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Answer» Surface are of cube=6a²where a=side of cube Surface area of cube=6*8²=6*8*8=384cm² Surface area of cube=6*4²=6*4*4=96cm² |
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| 41. |
4In the given figure, AB and DE areperpendiculars to BC. If AB 9 cm,DE 3 cm and AC 24 cm, calculateAD.[2005] |
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| 42. |
Integrate :http://www.onlinebu.comL‘ (_\.2 + लव Ylo' mam/rdin |
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| 43. |
Show that the points (0, O), (5, 5), (-5, 5) arethe vertices of a right isosceles triangle.Show that the points (2, 2), (-2, 4) and (2, 6)form an isosceles triangle. |
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Answer» the points taken by you are wrong |
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| 44. |
Show that the points (5, 5), (6, 4) (-2, 4) and(7, 1) are concyclic. Find the equation, centre andradius of this circle. |
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| 45. |
402and 92 ka h.c.f nikale |
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| 46. |
Find the midpoint of the points (5, 3) and (3, 6) |
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| 47. |
A sum of money doubles itself in 10 years at simple interest. in how mamyears would it triple itself1020 of these(B) 15E) |
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| 48. |
17, 4 को आयु SN T SR LT ) 21 a8 2यु 36 वर्ष तथा & को आयु 16 वर्ष है. कितने वर्ष बाद 4 को आवु 8 को हक रा ?( 1 वर्ष(6) 2 वर्ष(८) 3 वर्ष (व) 4 वर्ष( एम०सी०ए० परीक्षा, 2/- 005 ) |
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Answer» A की आयु = 36yearB ki आयु = 16 yearतब माना x साल बाद होगीअतः36 + x = 2(16 + x)36 + x = 32 + 2x 4 = xanswer is 4years |
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| 49. |
9. In Fig. 7, AB and CD are two diameters of a circle with centre O perpendicular toeach othetOD is the dianteter of the smaller circle. If OA7 cm find the area of shaded region |
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| 50. |
o, In Fig. 12.27, AB and CD are two diameters of acircle (with centre O) perpendicular to each otherand OD is the diameter of the smaller circle. IfOA 7em, find the area of the shaded region. |
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