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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. |
vl 5! &nigavyot vL=Qc J\/I./#. ५१९३) 1 |
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Answer» Sum of angle 140 how |
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| 2. |
Iwo ropes, one 8 metres long and the other 12 metres long are to be cut into piecesVir of the same length. What will the maximum possible length of each piece be ? |
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Answer» take the HCF of 8 and 12 you get 4 answer which is the maximum possible lengthhope this will help you like my answer and make it best answer HCF of 8 & 12you will get 4 HCF of 8 and 12 is 4 hcf of 8 and 12 is 4 |
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| 3. |
0COLULILI6. An electric pole casts a shadow of length 20 metres at a time when a tree 6 mhigh casts a shadow of length 8 metres. Find the height of the pole. |
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Answer» Let ratio of electic pole:shadow=tree:shadowX:20=6:8X*8=20*6 =120X=120/8 =15m |
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A tree 8 metres high casts a shadow of length24 metres. Find the height of a pole which casts aShadow 30 metres at the same time. |
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8. A piece of rope 'p' metres long is cut into 5 equal parts, (a) Find the length of each part, (b) If the lengthof each part is 4 metres, find the length of the whole piece of rope. |
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r,8. A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diaofthe spherical part is 8.5 cm. By measuring the amount of water it holds, a child find itsvolume to be 345 cm. Check whether she is correct, taking the above as the inmeasurements, and n 3.14 |
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| 7. |
A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter, the diametsl part is 8.5 cm. By measuring the amount of water it holds, a child findsisvolume to be 345 cm3. Check whether she is correct, taking the above as the insidemeasurements, and n 3.14. |
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| 8. |
8. Fig. 12.26 depicts a racing track whose left and right ends are sem icircular.Fig. 12.26The distance between the two inner parallel linesegments is 60 m and they are each 106 m long. Ifthe track is 10m wide, find: |
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| 9. |
3. A wooden toy rocket is in the shape of acone mounted on a cylinder, as shownin figure. The height of the entire rocketis 26 cm, while the height of the conicalpart is 6 cm. The base of the conicalportion has a diameter of 5 em, whilethe base diameter of the eylindricalportion is 3 cm. If the conical portion isto be painted orange and the cylindricalportion yellow, find the area of therocket painted with each of theseColours. (Take π= 3.14)6 cm26 cm3 cm!5 cmBase of cylinderBase of cone |
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| 10. |
13x2 ,ä¸31x2 , 25x2 |
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Answer» Please post a clear picture! Please specify the question! |
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| 11. |
25x2 + 30x + 9 = 0 |
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Answer» 25x² + 30x + 9 = 0 (5x)² + 2 × (5x) × 3 + 3² = 0 ( 5x + 2)² = 0 x = -2/5 |
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| 12. |
CO) 25x2-by-rada |
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Answer» 25x^2 -1/9y^2z^2(5x)^2-(1/3yz)^2(5x+1/3yz)(5x-1/3yz) |
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| 13. |
Talk to your partner about the following.1. The author's grandmother was a religious person. What are the differentways in which we come to know this?ntuoan the author and his |
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| 14. |
by changingof 10. |
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Answer» 4/5 = (4×2)/(5×2) = 8/10 If you find this answer helpful then like it. |
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| 15. |
iii) 25x2 30x+7-0 |
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Answer» Comparing the equation to ax^2+bx+c=0a=25b=-30c=7b^2-4ac = (900)-4(25)(7)=900-700 =200So the roots are x=-b+-√b^2-4ac/2a= 30+√200/50 or 30-√200/50=30+10√2/50 or 30-10√2/50=3+√2/5 or 3-√2/5 |
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| 16. |
Find the roots of quadratic equation 25x2+ 20x + 7 = 0 |
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| 17. |
5. Alternators are usually operated at apower angle of about(a) 10°(c) 60°(b) 40°(d) 90 |
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Answer» An alternator power output is directly proportional to the sine of its load angle. So the maximum power output from the alternator would occur when the load angle is 90 degrees. |
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176MATHEMATICS9.Expand using Binomial Theorem | | +--いは0 |
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Answer» thank u |
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| 19. |
12. Using binomial theorem, evaluate (101) |
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| 20. |
5. What should be subtracted from 10 to get 3 - ? |
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Answer» let x be subtracted according to the question 10-x=15/410-15/4=x40-15/4=x4x=25X=25/4 25/4 is the correct answer 25/4 is right anawer of this question. p |
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| 21. |
Using binomial theorem, prove that32n+2- 8n-9 is divisible by 64. [ |
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Answer» pura answer snd kro |
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| 22. |
Using binomial theorem, prove that 34-1, isdivisible by 8. |
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| 23. |
8. Using Binomial theorem evaluate (0.99)^15 correctto four places of decina |
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Answer» tq |
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| 24. |
10. Using Binomial Theorem, indicate which number is larger (1.1) 10000 or 1000 |
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Answer» Very good question from 11th Ncert |
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| 25. |
0. The table shows the relationship betweenthe number of songs Alishc hos purchased ondthe cost of her purchase. Find the rote ofchange, or slope.NUMBER OFCOST OFPURCHASE$3.27$6.24$9.21$11.19SONGS2810 |
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Answer» Rate of change or slope= (y1-y2)/(x1-x2)= (6.24-3.27)/(5-2)= .99 |
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| 26. |
Multiplying the equation throughout by 5, we get25x^2-30x-10 = 0 |
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Answer» 25x^2-30x-10=0lets divide by 55x^2-6x-2=0so roots=(6+-root(36+40))/10=6+-root(76)/10 |
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| 27. |
1. What are the coordinates of the centroid of the triangle ABC if A12.3), B(65, 8) ancC(2, 1)? |
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Answer» Explanation : coordinates of x = (average of x coordinates of 3 points , average of y coordinates of 3 points) = ((2+5+2)/3 , (3+8+1)/3) = (9/3 , 12/3) = (3,4) Solution : (3,4) If you find this answer helpful then like it. |
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| 28. |
The equation of parabola whose focus is (3. - 4) and directrixx - y + 5 = 0 is(A) (x + y)2 = 11X – 13y - 25(B) (x + y)2 = 22x - 26y - 25(C) (x + y)2 = 12x + 14y - 26(D) (x + y)2 = 22x - 26y - 30 |
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Answer» I don't knowwwwwwwwwwwwwww |
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| 29. |
What should be multiplied with (-3x -5) to get 3-11x-10)? |
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| 30. |
2x^3 - 11x^2 +44x +27 , if x = 25/3-4i |
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Answer» 2(25/3-4×3×2×1)=2(25/3-24)=2(24/-21)=2(-3)=-6 -6 is the correct answer 2(25/3-4×3×2×1)-11(25/3-4×3×2×1)+44(25/3-4×3×2×1)+27=2(25/3-24)-11(25/3-24)+44(25/3-24)=2(25/21)-11(25/3-24)+44(25/3-24)=50/21-275/21+44(25/21)=50-275+1100/21=875/21=41.66667 |
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| 31. |
10, 2x2 + 11x+15 = 0 |
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Answer» Here We used Shri dharacharya formulaHIT THE LIKE BUTTON |
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34 The number v18 308 can be written in the form va b where a and b are whole numbers ancab. The value of (a-b), is(2) 12(3) 16(4) 18 |
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| 33. |
write the formulaused to find the total surface area of a right circular cylinder |
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Answer» Total surface area of a right circular cylinder = Surface area of curved surface + Surface area of two bases= 2πrh + 2πr² Please hit the like button if this helped you |
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| 34. |
500+ 15 conrert into olacimalsanc |
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Answer» 500+15/100=500+0.15=500.15 |
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a) at (+,If the roots of the equation x2 - 2ax + a² + a-3 = 0 are real and less than 3, thenc) 3<a <d) a > 4b) 2 <a <34a) a <23. |
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| 36. |
The ratio between the curved surface area and the total surface area of aright circular cylinder is 1: 2. Find the volume of the cylinder if its totalsurface area is 616 cm2 |
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17. The ratio between the curved surface area and the total surfacearea of atotaright circular cylinder is 1:2. Find the volume of the cylinder if itssurface area is 616 cm2 |
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| 38. |
the ratio of the curved surface area to the total surface area of the right circular cylinder is 1: 3 find the volume of the cylinder if its total surface area is 1848 CM square |
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Answer» Curved surface area/Total surface area = 2πr(r+h)/2rh =>1/3=2πr(r+h)/2πrh=>r=2h (after calculating) Total surface area is 1848cm^2=>2πr(r+h) =1848cm^2=>2π x 2h x(2h+h) =1848cm^2 (r=2h)=>h^2=49=>h=7 if h=7cm than r = 2x7=14cm Volume of cylinder =πr^2h=(22/7) x (14)^2 x 7 = 4312cm^3 (ans) |
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| 39. |
8. The ratio between the curved surface area and the total surface area of a right circular cylinder is1:2. Find the ratio between the height and radius of the cylinder.area(a) 1: 2 tne ratid |
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| 40. |
area of atotalright circular cylinder is 1:2. Find the volume of the cylinder if itssurface area is 616 cm17. The ratio between the curved surface area and the total surface |
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| 41. |
PLUSThe freezing point of a mercury is - 39°C and freezing of athe difference between the freezing point of mercury and allfreezing of an alcohol is -120°С. Fi |
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Answer» difference is -39-(-120) -39 + 120120-3981 degree celsius difference is -39-(-120)-39+120120-3981 degree celcius 81 ° C is the correct answer of the given question |
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| 42. |
. Show at uiyIfa and β are the zeroes of the polynomial 6y2-7 y + 2, find a quadratic polynomial whose14.zeroes are- and.rden whose length is 4 m more than its width, is 36 m. Find the |
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| 43. |
5. Show that,' 'L-(2a +36) (2a -3b) 24ab |
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| 44. |
\frac{36^{\frac{7}{2}}-36^{\frac{9}{2}}}{36^{\frac{5}{2}}} |
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Answer» ((6^2)^(7/2)-(6^2)^(9/2))/(6^2)^(5/2)=(6^7-6^9)/(6^5)=6^7(1-6^2)/6^5=6^2(1-36)=36×(-35)=-1260 |
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36. If LA and ZP are acute angles such that tan A = tan p , then show that < A |
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Answer» tan (A-P)= tan(A)-tan (P) /{1 - tan(A)tanP} tan (A-P) = 0so tan (A-P) = tan (0)A -P = 0A = P |
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| 46. |
2√3-3÷2√3+3 |
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Answer» 2√3-3/2√3+32√3-3/2√3+3*(2√3-3)/(2√3-3)=12+9-12√3/12-9=21-12√3/3=7-4√3 |
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| 47. |
6.If ι and β are the zeroes of the polynomial x2 +4x+ 3,find the polynomial wherezeroes are 1 +and 1+R6 |
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Answer» First of all, factorize the given polynomial: x^2+4x+3=0(x+3)(X+1)=0x=-3,-1 Let the -3 be the α, and the -1 be the β. It is required to find the polynomials which have the roots of: and .X=1+b/a and X=1+a/b Substitute by α=-3, and β=-1: Therefore, the roots are: x = 0 and x = 2 Therefore, the polynomial must be: x(x-2)=0 Polynomial: x^2-2x=0 |
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1031ax + bx +c dx2ax + b(ax2 + bx + c)2ax +b-(2ax+ b)(ax2 + bx+ c)2(C) ody is, then2ax + b(B)2ax + b(ax2 + bx + c)(C) 0(D) (2ax+ b(ax2 + bx+ c) |
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| 49. |
If the polynomial 6 x^{4}+8 x^{3}-5 x^{2}+a x+b is exactly divisible by the polynomial 2x^2-5,thenfind the value of a and b. |
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| 50. |
5.3.3.3 Chebyshev's Inequality |
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Answer» It's in the probability theorem it says that fraction of data in any distribution that lies within k stnanderd deviation of the mean is 1-1/k^2 |
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