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. |
In a $ \Delta X Y Z, $ if $ \angle x=90^{\circ} $ and $ \angle Y=40^{\circ}, $ find $ \angle Z $ |
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Answer» The sum of all angles of a Triangle = 180°x+y+z=180°90°+40°+z=180°130°+z=180°z=180°-130°z=50° |
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| 2. |
leUlEachsidesof a parallelogram are in the ratio 5:3. If its perimeter is 64 cm. find the lenghsof6. Twof its sides. |
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Answer» Two sides of a parallelogram are in ratio 5:3 . If its perimeter is 64 cm, find the lengths of its sides. ----------------5:3 is the same as 5x:3x where 5x can be Length and 3x can be Width--------------Perimeter = 2(L+W)64 = 2(5x+3x)8x = 32 x = 45x = 5*4 = 20 cm = Length----3x = 3*4 = 12 cm = Width |
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| 3. |
3. A horse is tied to pole fixed at one corner of 60 m Ă 60 m square field of grass by means of a 42 m longrope. What is the area of that part of the field which the horse can graze? |
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| 4. |
er heLrCThe radius and height of a solid right-circular cone are in theratio of 5: 12. If its volume is 314 cm', find its total surface area.[Take π 3.14.]3CBSE 2017 |
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| 5. |
P ka square - 49 |
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| 6. |
-D is a 11m in which ZADC = 75° and side AB is produced to E as shown in figure. Find (x +75°E |
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Answer» Hello I don't know Answer please like me angle x =105° and angle y is also 105° the answer is 210 for the given problem in the parallelogram Answer is 210degrees x+y=105 is the right answer |
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| 7. |
5. If the angles (13x +30)° and (5x + 6)° are supplementary arnangles, find the medthese angles.Hinr: 13x + 30 + 5x + 6 = 180. Solve to get the value of x and hence find the measu6. If an angle exceeds its complement by 20°, find the angle.7. If the supplement of an angle is three times its complement, find the angle.[Hint. I et the measure ofthe required angle bex. Then 180-x-3 (90-x)] |
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| 8. |
f the ssolid is 104a cylinder with hemispherical ends. If the whole length of thehe Internal surface area oA solid is composed ofwith heand the radius of each of the hemispherical ends is 7 cm, find the costCBSE 2006C]of polishing its surface at the rate ofer dm10 pe15. A cylindrical vancol |
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Answer» please take pai as 22 up on 7 |
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| 9. |
In the given figure, AOB is a diameter and DCis parallel to AB. If CAB = x°: find(in terms of x) the values of(i) angle COB,(ii) angle DOC,(ii) angle DAC,(iv) angle ADC |
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| 10. |
find the value of x for which the angle (2x-5)and (x-10) are the complementary angle |
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Answer» the angle of (2x-5) & (x-10) complementary angle is 90° (2x +x) ( 5+10) = 90° 3x+ 15 =90 3x= 90-15 3x=75 x=75/3 x= 25 |
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| 11. |
(i) Define angle between the curves.(ii) Find the angle between the curves x y=2, x^{2}+4 y=0 |
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Answer» i.Angle betweentwo intersectingcurvesis definedas the acuteangle betweentheir tangents or the normals at the point of intersection of twocurves.ii.solving xy=2 and x^2+4y=0 |
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| 12. |
If m times mth term of an AP is equal two n times it's nth term. Show that the ( m+n )the term of the AP is zero. |
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| 13. |
56. If ratio of sum of n terms of two AP is 14-4n:3n+5. Find tthe ratio of their 8terms. |
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Answer» n/2{2a1+(n-1)d1)/n/2{2a2+(n-1)d2}=14-4n/3n+5A1+(n-1)d1/2/A2+(n-1)D2/2=14-4n/3n+5now Nth term of an ap is given by a+(n-1)dnow (n-1)/2=N-1/2n=2N-1henceA1+(N-1)d1/A2+(N-1)d2=14-4(2N-1)/3(2N-1)put N=814-4(15)/3(15)=14-60/45=46/45 |
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| 14. |
:A hag contains 125 kg rice. How much rice will 142 such bags have? |
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Answer» 142 such bags contains 17750 kg of rice. You just have to multiple 142 by 125. |
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| 15. |
L A former has four sheepdogs and three beagles t hetandomky choosesccompang hin on a walk,Mhat-IS the piobalbility E hin, lakinga lhank taĹh.oa GletÄl |
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Answer» Probability will be 4/7as 4 are favourable and 7 are total |
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| 16. |
44. ABCD is square, F is the mid-point of AB and Eis a point on BC such that BE is one-third of BC.If area of AFBE - 147 m, then the length of AC Is(1) 21/2 m(2) 21 m(3) 63/2 m(4) 42/2 mAnon le parallelogram and |
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Answer» 1) 21√2m is the correct answer |
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| 17. |
In the given figure, Ill m and p ll qFind the measure of each of the angles La, Lb, Lc andpligq42d.655A de m |
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| 18. |
In the given figure AP and DP are bisectors of two adjacent angles A and D of aquadrilateral ABCD. Prove that 2ZAPD-LB+ LC |
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| 19. |
4U18-19147In parallelogram ABCD, two points P and Q aretaken on diagonal BD such that DP BO(see Fig. 8.20). Show that:A.D-(ii) AP- CQ(iii) Δ AQB Δ CPD(iv) AQ CP(V) APCQis aallelopramB- |
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| 20. |
REN- S. Solve the following word problinsA rope er 42 m long. A prece of length24 m 28 m is cut form it find the lenght Iof the rem incho rope |
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Answer» It is a wrong question. length of rope = 42 mlength of piece of rope cut = 24 m 28 cm ER. RAVI KUMAR ROY length of remaining rope = 42 - 24.28 = 17.72 m = 17 m 72 cm ANS... the question is wronge it is a wrong question it is wrong question this question is wrong this question is wrong first of all. Check this question please It is wrong question |
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| 21. |
2. A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. Thediameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find theer surface area of the vessel. |
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| 22. |
If a diameter of a circle bisects each of the two chords of a circle, then prove that the chords are parallel. |
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| 23. |
In the given figure A, B, C and D are concyclic. If LACB 30° and LBDC 35, then find0) ZADC(ii) ZABC |
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Answer» 1 |
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| 24. |
7,If 3 bags contains 120 kg of wheat, find how much rice can be contained in 20 hin |
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| 25. |
C-100. Find measuren Δ ABC, bisectors of LA and LB inof LAOB.tersect at point O. If |
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| 26. |
is a parallelogram in which LAABCDand ZD100 . Find the measure of each of the angles LB LC |
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| 27. |
sSolve the following trigonometricjequation for its general solution:2 sin2 x + v/3 cos x + 1 = 0 |
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| 28. |
Find the values of the constant a and b for whichsin x cos x (5 tan x + 2 cot x) a + b sin2 x" X. |
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| 29. |
In the given figure A, B, C and D are concyclic. If LAC-30° and LBDC-35°, then find(ii) ZABCpo(i) ZADC |
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Answer» 1 2 |
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| 30. |
0)In the figure, O is the centre of a circle. Point A, B, C and D are on a circle. If LABDand ZCA3.40D = 65°. Find the measurement of ZADCAK)65 |
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| 31. |
5. For the figure uiven below, prove haiNote s Z ADC In the required result is markedin the figure. You should not considerreflex ZADC |
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| 32. |
add the fraction 3/7&2/14 |
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Answer» how it is please check division of the numerical |
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| 33. |
4. Find the least number which must be subtracted from each of the following numberso as to get a perfect square. Also find the square root of the perfect square soobtained.(i) 402(ii)1989(iii) 3250(iv) 825IV |
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| 34. |
96. If ratio of sum of nterms of two AP is 14- 4n:3n+5. Find the ratio of their 8 terms. |
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| 35. |
que21. Find the HCM and l-am of 512 and 1314 using pun facterizationmethod. |
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| 36. |
tat AP BQve that, if a diameter of a circle bisects twoProhords of the circle then those two chords areparallel to each other. |
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| 37. |
,Theteachex tells the class thatIn hex class is twice the lousestk 7the higby Stulenthest may ks obtained6 Plus 규 yhe highest mayk is 87What is the lowwest mor |
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Answer» let the lowest marks be x, then (87 - 7) /2 = x =80 / 2 = x = 40 Therefore, the lowest score of the class is 40 marks. |
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| 38. |
Triangles(9) Using the giveninformation in thefigure find La, LbmarksS100 |
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Answer» In given fig. Angle c + 100 = 180 (linear pair)Angle c = 80 Angle b = 70 (Vertical opposite) By sum property of triangleAngle a + Angle b + Angle c = 180Angle a + 70 + 80 = 180Angle a = 180 - 150 = 30 Hence, Angle a = 30, Angle b = 70, Angle c = 80 |
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| 39. |
3. If sin x + sinx = 1, then the value ofcos2x + cos*x is(A) -1(B) 1(C) 2(D) O |
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| 40. |
8.sin - Cos d(N34.1-2 sin2 x cos2x |
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| 41. |
For the information given in figure find ZADC.500140°C |
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Answer» 120° is the correct answer of the given question 120 degree is the answer of this question. please right answers 100 ok |
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| 42. |
Integral(x^(2/3) %2B 1, x)=Integral(1, x) %2B Integral(x^(2/3), x) |
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| 43. |
CB respectively. 20. For the information given in figure find ZADC.Prove that |
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| 44. |
(3) From the information given in the figure,find the value of x. |
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| 45. |
(3) From the information given in the figurefind the value of x. |
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| 46. |
Which of the following perfect square are squares of odd numbers?(i) 64 (ii) 289(iii) 1521(iv) 1296 |
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| 47. |
addExample 14 : Multiply 65 by 2/5 |
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Answer» correct answer is 60 60 is the correct answer of the given question is 60 is the right answer |
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| 48. |
नo sinxdx2 मान निकालें कि = |
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| 49. |
=2 Evaluate: [ log sinxdxo |
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| 50. |
18. Using properties of definite integrals, evaluate0 1+cos2xx sinxdxS0 1+cos2x |
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