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. |
1. Find the area of the following figur14 mm10 mm10 mm14 mm -> |
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Answer» if the following figure is rectangle then the area of the rectangle will be 2×(l+b) =2×(10+14) =2×24 =48mm |
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| 2. |
FIGUR11. In Fig. 3.41, wehaveZBAD - ZBCDand 21-23Show that 22 - 24.FIGURE 3.41 |
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Answer» fínd thє αrєα σf f kα fígurє |
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| 3. |
कप - 85 + किकg - 85 +15 - 26 -. हि अ५+ पड 3463 8वाड |
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Answer» thanks |
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| 4. |
andle 9 -ith the lexed ground such that tamazuming there is no slack in the rintthe top of the tower frem the eye of the chserver. |
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Answer» From the figure (see the attached file kindly),OB/BC=tanAor, (22-1.5)/20.5=tanAor, tanA=20.5/20.5or, tanA=1or, tanA=tan45°or, A=45°∴, the angle of elevation is 45°. |
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| 5. |
In AACD, CACD. Find x. |
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Answer» As AC = CD soangle A = angle Dangle D = 25°x = angle A + angle D ( exterior angle theroem)x = 50° |
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| 6. |
Identify the greater number, wherever possible, in each of the following?(a) 43 or 34(b) 53 or 35(c) 28 or(d) 1002 or 2100(e) 21° or 102Express each of the following as product of powers of their prime factors |
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Answer» greater numbers are:-a)3^4b)3^5d)2^100e)2^10 greater number; 1 ) 3^4; b)3^6; d)2^100; e)2^10 greater number;1(3^4; b)3^6 d)2^100; e)2^10 |
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| 7. |
If the angles (13r +30)9 and (5x + 6)° are supplementary angles, find the measures ofthese angles.Illint l 3r + 30 + 5x + 6 = 180, Solve to get the value ofx and hence find the measure of the angles]6. 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: Let the measure of the required angle be x. Then 180-r-3 (90-x)] |
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Answer» 13x+30+5x+6 = 18018x+36 = 18018x = 180-36 => 144x = 144/18 = 8° not sure answer |
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| 8. |
CE AREAS AND VoriMES245A tent is in the shape of a cylinder surmounted by a conical top. If the height anddiameter of the cylindrical part are 2.1 m and 4 m respectively, and the stant height of thetop is 2.8 m, find the area of the canvas used for making the tent Also, find the cost ofthe canvas of the tent at the rate of Rs 500 per m. (Note that the base of the tent will notbe covered with canvas.) |
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| 9. |
SECTION BThe sum of the angles of a triangle is 180. If the three angles are 2(2x+15 ), 85 and (x+20) Find the value of x and also find the measuresof each of the angles. :30210 |
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| 10. |
URGiven the sum of the perimeters of a circle and square, show that the sum of their areasis least when the diameter of the circle is equal to side of the square. |
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| 11. |
to the sum of the clcui: The radii of two circles are 8 cm and 6 cm respectively. Finthe radius of the circle having area equal to the sum of theareas of the two circles |
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| 12. |
Can two angles be supplementary if one of them is obtuse. |
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Answer» No. Obtuse angle is always greater than 90º. It can be observed that two angles,even of 91º, will always add up to more than 180º. Therefore, two obtuse angles cannotbe in a supplementary angle pair. |
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| 13. |
5. Can two angles be supplementary if both of them are:(i) acute? (ii) obtuse? (iii) right? |
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Answer» (iii) right is the correct answer two right angles can be supplmentary. so answer is (iii) 3 right angles Is answer to your question |
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| 14. |
A positive number is 5 times another number. If 21 is added to both thhenone of the new numbers becomes twice the other new number. What areumbers? |
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| 15. |
, angle of elevation of a jet plane from a point P on the ground is 60. After a flight of(C.B.S.E. 1997, 2002, 2004 C)a distance of.B.S.E. 1989)r coa seconds,tng of elevation changes to 30°. If the jet plane is flying at a constant heightef 1500/3 m, find the speed of the jet plane. |
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| 16. |
3.Express the following as decimalsSolu(i)125%(iv)90(v)(v)6-96612(ii) 45%(iii) 2.5%4 |
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Answer» 125%=125/100=1.2545%=45/100=0.4525%=25/100=0.251/4%=0.25%=0.25/100=0.00256 1/4%=25/4%=6.25%=6.25/100=0.0625 |
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| 17. |
AB is a line segment and P is ith midpsint D andEare points on thc sanse side of A such thatShow that |
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| 18. |
and BD - CE. Prove that AABE AACD.5.In fig.AD = AE and BD = CE. Prove |
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| 19. |
10. In a quadrilateral ABCD as shown in the figure, AB |I CD13mand AD 1 AB. IAB = 18 m, DC = BC = 13 m, find the areaof the quadrilateralHint: Draw CE I AD so that CE LAB.18 mEB 18 m - 13 m 5 m.In right-angled Î CEB, CB-.BC2-BEa |
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| 20. |
15. In the adjoining given figure, AABC is a right triangle, right angled atO B. AD and CE are two medians drawn from A and C respectivelyA0If AC 5 cm andD 375 cm, then find the length of CE.th2 |
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Answer» We apply Pythagoras theorem.ΔABC: AC² = AB² + BC² 5² = (2 BE)² + BC² 25 = 4BE² + BC² -- (1)Also, BE² + BC² = CE² ----(2)ΔABD, AD² = AB² + BD² = 4 BE² + BC²/4=> 4 (3√5/2)² = 45 =16 BE² + BC² -- (3)Solve the equations (1) and (2). 55 = 3 BC² => BC =√(55/3)=> BE² = (AC² - BC²)/4 =(5² - 55/3)/4 = 5/3 By (2), CE² = 5/3 + 55/3 = 20/3=> CE = 2√(5/3) |
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| 21. |
d the distanwheel is 77 cm.5ce covered by the wheel of a car in 500 revolutions if the diameter of the |
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| 22. |
L A The perimeter of a rectangle is 230 cm- lf the length of the rectangle is Tu cbreadth. |
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| 23. |
110-130=3130-150=6150-170=9170-190=13190-210= k210-230=5230-250=4 Mean=180 find value of k |
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Answer» please post clear question. |
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| 24. |
2tan30*/1+tan^230° |
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Answer» tan30=1/√3hence2tan30/1+tan^2302*1/√3/1+1/36/√3*43/√3*2√3/2 |
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| 25. |
Sudhir bought an almirah for 13600 and spent ? 400 on its transportation. He sold it fore6800. Find his gain per cent.r7CE000 on d enentチ1 1 5000 on its repairs. Then, he so |
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| 26. |
100 X 230480 |
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Answer» (100*230)/480=23000/480=457/12=47.916 6.25 is the right answer. answer this question is 47.916666667 47.91 is the correct answer 47.91 is the right answer hello ur answer is (47.916) 45.8333333333333333333 Sry I am not see wrong so your answer is (47.91)😀😀😀😀 47.916 is the right answer (100 × 230 )/480 = 23000/480 = 47.91 100*230/48023000/480=47.91 47.91 is the right answer |
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| 27. |
For which values of a and b, are the zeroes of qx)x2x? + a also the zeroes of thepolynomial p(x)--x' 4x3 + 3x2 + 3x + b? Which zeroes of p(x) are not the zeroesof q(x)? |
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| 28. |
Write true or falseA triangle has three angles and three sidesA triangle can have two obtuse anglesAn equilateral triangle is an obtuse-angled triangle |
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Answer» 1. true all the triangle haa 3 sides and 3 angles2.False. A triangle with all three equal sides is calledequilateral3. False. Anobtuse triangleis onewithoneobtuse angle(greater than 90°) andtwoacuteangles. Sincea triangle's anglesmust sum to 180°, notriangle can havemore than oneobtuse angle4. True If two of its sides are equal, a triangle is calledisosceles.5. False In anobtuse triangle, oneangleis greater than aright angle—it is more than 90 degrees. Anobtuse trianglemay beisoscelesor scalene. In anacute triangle, allanglesare less thanright angles—each one is less than 90 degrees. Anacute trianglemay beequilateral,isosceles, or scalene |
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| 29. |
8. Forwhichvalues ofa and b, are the zeroes of g(x)=x+2x+a also the zeroes of the polynomialp(x)=x-4-42 + 3x + 3x + b? Which zeroes of p(x) are not the zeroes of (x)? |
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| 30. |
5. Can we have an obtuse-angled equilateral triangle? Draw if possibledellbell |
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Answer» Youare right - anequilateral trianglecannothave an obtuseangle. In fact, the angles are all "fixed" - they are each 60 degrees. Try this: take three equal length pencils and form atriangle. Now take three more pencils and try to form atrianglethat has angles different from the first. |
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| 31. |
X, Y, Z are integer that are side of an obtuse-angled triangle. If xy = 4. find zA. 2B. 3anoD.More than one possible value of z exists |
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Answer» option d is the correct answer of the given question Checking out the possibilities of the third side will give the answer. xy = 4xy could be 2 *2 or 4 * 1221222 These are the possible triangles.223441 22x will be a triangle if x is 1, 2 or 3 (trial and error).44x is a triangle only if x is 1.1. 221 is acute. 12+ 22> 222. 222 is equilateral. So acute.3. 223 is obtuse. 22+ 22< 324. 144 is acute. 12+ 42> 42 The question is" x, y, z are integer that are side of an obtuse-angled triangle. If xy = 4, find z."And so, the third side has to be 3 Hence, the answer is 3. Choice B is the correct answer. B is the correct answer b is the correct answer |
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| 32. |
+ 3sin + 2cosO करेंI tand ==, 1 =" का मच जतिकरे3 3sin® — 2cosH |
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| 33. |
30 For which values of a and b are the zeroes of g)2x2+aalsothezeroesofthcpolynomial p(x)5-x x3 +3x2+3x + b? which zeroes of p(x) are not the zeroesof q(x)? |
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| 34. |
Sumno2.468theduffoxencec ftng |
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| 35. |
Thus,Find the profit or loss perce(i) C.P. = 400, SP. = 468 |
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Answer» Given,SP = 468, CP = 400 Profit % = [ (SP - CP) /CP] ×100 =[(468 - 400)/400]×100 = 68/4 = 17% |
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| 36. |
Find the smallest number which when increased by 17 isexactly divisible by 520 and 468. |
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| 37. |
Find the amallest number which when inereased by 17 is exactly divisible by both468 and 520 |
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Answer» thanks |
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| 38. |
(00 +sin®) + 3sin® _ |
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Answer» sin^6x+cos^6x+3sin^2xcos^2x =sin^6x+3sin^2xcos^2x(1)+cos^6x =sin^6x+3sin^2xcos^2x(sin^2x+cos^2x)+cos^6x =sin^6x+3sin^4xcos^2x+3sin^2xcos^4x+cos^6x=(sin^2x+cos^2x)^3=1^3=1 |
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| 39. |
The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the fourwalls al the rate of 10 per m is 15000, find the height of the hallHint : Area of the four walls Lateral surface area.] |
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| 40. |
55. a.b+cxa+bt c is equal to(e) Labe (b)3 abe e) ()2[abe |
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| 41. |
14. If a = 8, b = 5 and c = 2, find the following:(i) a x (6 – C) (ii) ab — ac |
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Answer» 24 |
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| 42. |
14iylfx= 2 cos θ-cos 20.dydx |
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| 43. |
e floor of a rectangular hall has a perimetér 250 m. If the cost of painting the fourwalls at the rate of 10 per m2 is? 15000, find the height of the hall.[Hint: Area of the four walls = Lateral surface area.] |
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| 44. |
3/213PAGE NODATE 31918 |
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| 45. |
21. If 10* = 64, find the value of 10(2+1). |
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Answer» Given,10^x = 64 Value of 10^(x/2 + 1)= 10^x/2 * 10^1= (10^x)^1/2 + 10= (64)^1/2 + 10= 8 + 10= 18 |
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| 46. |
The floor of a rectangular hall has a permeter 250m If the cost of painting the fourwalls at the rate of 10 per m2 is 15000, find the height of the hall.Hint: Area of the four walls Lateral surface area.] |
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| 47. |
The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the fourwalls at the rate of 10 per misT 1 5000, find the height of the hall.Hint: Area of the four walls = Lateral surface area.] |
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| 48. |
52 by de 63. 2/10 by 22 64. 2250 b-Group C (3 marks)range in ascending order each of the following (64V5, 13 67. 85,13,12 . 190, |
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| 49. |
If a=i-3j+2k, 6 = 39 + 4k and a = 2k – 3î then(axb).c is:a) 30 b) 60 c) 90 d) 40 |
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Answer» 90 options (a ) 30 is the right answer option a is right answer a) 30 ☺😊😂😀👍 🍨🍧☕🍻 💐👒☺👍👎 option a is right Answer 60 will be the correct answer so option b). will be correct option c is the right answer Option a) is the right answer c is the correct answer 60 is the correct answer. option b is the right answer a ka right answer shi h 60 is a right answer 90 is the correct answer 60 is the correct answer 60 it is right answer 60is the correct answer h answer b(60) ha answer 60 it is right answer 90 is correct answer option (a) 30 is right answer...... options B 60 it is right answer 60 is the correct option C =(vector a × vector b) = -18i -4j + 3kthen then dot product of C and vector c = (-18 × (-3)) + (3×2) = 60 60 this is right answer c is the best answer option b) is correct answer 60 is correct answer. 90 this is a the answer options a is a right answer 60 is the right answer answer is 60 to (a*b).c c is the correct answer 60 is the right answer bhaiyya option A is the right answer option A is right answer option A (30) is the right answer 30 is the right answer👌👌👌👌👌👌👌👌 option A is the right answer option A (30) is the right answer of this quation 30 is the right Answer he option (c) 90 is the correct answer 60 is correct answer options number B is the correct answer option a is right answer for c)90.
option c) 90 is correct answer option c is correct answer option b is the right answer option (a) 30 is the right answer 60 is the correct answer h 30 is aright answer okk A option is the right answer 60 is the correct answer. 60 is the best answer me b is correct options option c is the correct answer options number B is the correct answer please like my answer Option (B) 60 is correct answer for me 90 is the correct answer 90 is the correct answer option. b). 60 is Right. answer this .....C is the correct answer option b is right answer option a is right answer hai right the correct answer (b) iska correct answer 60 options number B is the correct answer please like my answer (B) is correct answer options (b) 60 is tha right answer |
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| 50. |
C. (x 10) (x 10)5) The auotient is. Ir (x3+64) is divide by (x 4) |
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