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. |
If the volume of a right circular cone of height 9 cm is 48 π cm, find the diameter of itsbase. |
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| 2. |
012).If the volume of a right circular cone of height 9 cm is 48 π cm3 ,find the diameter of itsbase.钊礻 |
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Answer» Like if you find it useful |
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| 3. |
5.5. A chord of length 24 cm is at a distance of 5 cm from the centre of the circle. Find the length oAchordoflength24cmisatadistanceof5cmfromthecentreofthecircle.Findthelengthanother chord of circle which is at a distance of 12 cm from the centre. |
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| 4. |
5.The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4cm. Find the radius of the circle. |
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| 5. |
The length of a tangent from a point A at distance 5 cm from the centre of the o4 cm. Find radius of the circle. |
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Answer» thanks a lot |
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| 6. |
through the ceiueThe length of a tangent from a point A at distance 5 cm from the centre ofthcm. Find the radius of the circle. |
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| 7. |
6. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4cm. Find the radius of the circle. |
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| 8. |
Q 18: A piece of cloth costs 200. If the piece was 5 m longer and each meter of cloth costed & 2 less,the cost of the price would have remained unchanged. How long is the piece and what is its originalrate per meter? |
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Answer» Let the piece of cloth is x metre and it costs Rs.y/metre. Then by the given conditions -∴, xy=200 -------------(1) and(x+5)(y-2)=200or, xy+5y-2x-10=200or, 200+5y-2x-10=200or, 5y-2x-10=0or, 5y=2x+10or, y=(2x+10)/5Putting in (1),x(2x+10)/5=200or, x(2x+10)=200×5or, 2x²+10x=1000or, x²+5x-500=0or, x²+25x-20x-500=0or, x(x+25)-20(x+25)=0or, (x+25)(x-20)=0either, x+25=0or, x=-25or, x-20=0or, x=20Since the length of the cloth can not be negative,∴, x=20 metrePutting in (1),20y=200or, y=10∴, the cloth is 20 m long and the original rate is Rs. 10/metre. Ans. |
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| 9. |
through the centre.The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4cm. Find the radius of the circle.6. |
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| 10. |
A circular park of 20 m diameter has a circular path of width 1 m just insidethe boundary. Find the area of the path. |
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| 11. |
The total cost of a certain length of a piece of cloth is 200. If the piecewas 5 m longer and each metre of cloth costs 2 less, the cost of the piecewould have remained unchanged. How long is the piece and what is itsoriginal rate per metre? |
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Answer» I gave20% to rakesh and suresh . suresh get more 7.5 rupees so how much money I have |
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| 12. |
If the volume ofa right circular cone of height 9 crm is 48 π cm, find the diameter ofitsbase. |
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| 13. |
Ifthe volume ofa right circular cone ofheight9cmis 48base.4.cm, find the diameter of its |
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| 14. |
8 m13. A circular park is surrounded by a path 8 m wide. The diameter ofthe circular parkis 84 m. Find the area of the path. (Take r 3.14)84 m |
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Answer» thank you |
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| 15. |
If the volume ofa right circular cone of height 9 cm is 48 π cm, find the diameter of itsbase |
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| 16. |
1, एक कूट भाषा में BRINJAL को LA.JNIRB लिखा जाता है।उसी कूट भाषा में LADYFINGER को किस प्रकार लिखा।[SSC Multi-tasking 2014](b) RINEGIFYDAL(d) RGENIFYDAL१ को REFGANAM लिखा जाता है,जाएगा?(a) RNEGIFYDAL(c) REGNIFYDAL |
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Answer» Ans. is "REGNIFYDAL" all letter reverse from right side to left side... |
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| 17. |
cos 7x + cos 5xProve that sin 7x sin 5x= cot x |
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| 18. |
sin 5x -2sin 3x + sin xcos 5x -cos x= tanx40. Prove that |
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Answer» (sin5x-2sin3x+sinx)/(cos5x-cosx)=[{2sin(5x+x)/2cos(5x-x)/2}-2sin3x]/{2sin(5x+x)/2sin(x-5x)/2}=(2sin3xcos2x-2sin3x)/{2sin3xsin(-2x)}={2sin3x(cos2x-1)}/{-2sin3xsin2x}=-(cos2x-1)/sin2x=(1-cos2x)/sin2x=2sin²x/2sinxcosx=sinx/cosx=tanx (Proved) hit like if you find it useful |
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| 19. |
2. Polynomials(long division)Find all the other zeroes of the polynomial p(x)=2x-7x +19% -14x +30 if two of zeroes are/2 and 2Find all the zeroes of p(x)=2x-3x - 3x + 6x-2, if you know that two of its zeroes are 72 and/-2.Find all the other zeroes of the polynomial p(x) = x + 3x -x-9x -6 if two of zeroes are /3 and V3Obtain all the other zeroes of the polynomial p(x) = 2x+ -6x +3x+3x-2 if two of zeroes are 1 and 12Find the other two zeroes of p(x) = 3x4 +6x-2x - 10x-5. if two of zeroes areWia |
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Answer» 2x^4-3x^3-3x^2+6x-2 by V2; 2(V2)^4-3(V2)^3-3(V2)^2+6(V2)-2=8-6V2+6+6v2-2= 14-2=12 Bhai ek ek karke puchh lo |
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| 20. |
p(x) = 8 X power 4 +6x cube -3x square+x-6 g(x)=4 X square+2x+3 |
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| 21. |
प्रश्नावली 3.4पूर्ण वर्ग बनाने की विधि द्वारा निम्न द्विघात समीकरणों को हल कीजिए।(1) 3x-5x+2 =0 (ii) 5x2-6x-2 = 0 (ii) 4x +3x(v) 2x +x-4=0 (vi) 2x +x+4=0 (vi) 4x +4 |
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Answer» 3x^2-5x+2=0(√3x)^2-2(√3 x)(5/2√3)+(5 2√3)^2+2-25/12=0(√3x-5/2√3)^2 + 24-25/12=0(√3x-5/2√3)^2=1/12(√3x-5/2√3)=√1/12=+- 1/2√3√3x= +1/2√3 + 5/2√3 = 1+5/2√3x= 6/2×√3√3=6/2×3=6/6=1 or √3x-5/2√3= - 1/2√3√3x= 5/2√3 -1/2√3 = 5-1/2√3x= 4/2√3√3=4/2×3=2/3 x=2/3 .. is right answerr |
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| 22. |
(d) The diameter of a solid metallic sphere is6 cm. The sphere is recasted into a wireof uniform size by melting. If the lengthof wire is 36 cm, find the diameter of thewire. |
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Answer» Radius of sphere = 3 cm Now volume of sphere =4/3 π(3)³ Now sphere is melted and draw into wire Volume of sphere = Volume of cylinder formed 4/3 π(3)³ = πr² × 3600 36π=r²x3600π l=r²x100 r² = 1/100 r=1/10cm = 0.1cm Like my answer if you find it useful! |
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| 23. |
3 and the other in class 5. Calculate the new mean class size.III If the school's mean class size must not rise above 35, how many more children can1 Mean class size =II New mean111 For the mean size of 35, the sum of the number of students should be 5 × 35-175.be admitted in the school?the f34 +38 31+35 +32 131+35 + 32ution170-3534 + 38 + 32 + 35 + 33-172-34.4Hence, at the most 175-172-3 more students can be admitted.froEXERCISE 18Find the range and mean of the following observations:(a) 6, 5, 3, 5, 1, 6, 2, 7, 10(b) 13, 42, 28, 36, 40, 75(d) 1.2, 2.3, 3.5, 0, 2.6, 4.5, 3.4(c) 156, 142, 178, 162, 173, 175, 155 |
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Answer» (a) n=9(odd) Mean =sum of observation /total no. Of observation 6+5+3+5+1+6+2+7+10/9=45/9=5So mean =5 |
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| 24. |
An athlete runs around a circular park 10 times. If the dĂameter of park is 280 m, find thedistance covered by the athlete in kilometres |
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| 25. |
A railing of 288 m is required forfencing a semi-circular park. Find thearea of the park. (take 22/ 7)Ssc Multitasking 2014] |
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Answer» Railing length for fencing semicircular Park = 288 m Let radius of semicircular Park = r Then,Pi*r + r = 288r(22/7 + 2) = 288r = 288*7/36r = 8*7 = 56 m Area of semicircular park= 1/2*pi*r*r= 1/2*22/7*56*56= 11*8*56= 4928 m^2 |
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| 26. |
. A circular park is surrounded by a rod 21 m wide. If the radius of the park is 105 m,find the area of the road.NCERT EXEMPLAR |
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Answer» Let radius of the circular park = r = 105 m Width of the road surrounded by the Park = w = 21 m Radius of the outer circle = R = r + w R = 105 + 21 = 126 m Area of the road = area of the outer circle - area of the inner circle A = pi × R ^2 - pi × r ^2 A = pi ( R ^2 - r ^2 ) A = pi × ( R + r ) ( R - r ) A = pi × ( R + r ) × w Substitute the values A = 22/ 7 × ( 126 + 105 ) × 21 A = 22 × 231 × 3 A = 15246 square meters. Therefore, Area of the road = 15246sq meters |
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| 27. |
3. In Fig. (1), show that AB || CD.120 |
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| 28. |
A circular park is surrounded by a road 21m wide. If the radius of the park is 105 mthen find the area of the road.NCERT Exemplar |
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| 29. |
The radius of a circular park 3.6 meter There is a footpath ofwidth 1.4 m around the park. Find the area of the footpath(see fig. 15.1512 |
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| 30. |
A I QRN हर, लावा के बगल,» का का. को... कक जलन ला o e (S_ 20. यदि (: जन 4: 15 तो लत का मान है-, x+y 11 | 19(1) 38 (2) 11 |
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Answer» y/x= 4/15x कॉमन लेने पर(1-y/x)/(1+y/x)(1-4/15)/(1+4/15)11/15/19/1511/19 |
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| 31. |
1 + b + c ) ^ { 3 } - a ^ { 3 } - b ^ { 3 } - c ^ { 3 } = 3 ( a + b ) ( b + c ) ( c + a ) |
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| 32. |
Quadrilaterals. Show that the quadrilateral formed by joining the midpoints of thepairs of adjacent sides of a rectangle is a rhombus.d hv oning the midpoints of the |
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| 33. |
1)How many midpoints does a segment have ? |
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Answer» A line segment has fixed value hence it will have only one midpoint. |
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| 34. |
व गे, - R नानक उन डा ५: N M # एक विषम संख्या है और « >> 1 तो सिद्ध करो कि, ( v - Vo 2——* जी |
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| 35. |
( a + b + c ) ^ { 3 } - a ^ { 3 } - b ^ { 3 } - c ^ { 3 } = 3 ( a + b ) ( b + c ) ( c + a ) |
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| 36. |
x ^ 2 + 5x + 6 = 0 এর D খুঁজে বের করুন |
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Answer» hit like if you find it useful |
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| 37. |
6. With given values of angles, prove that AB JLCD54° |
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| 38. |
6.With given values of angles, prove that AB ILCD54°24° |
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| 39. |
wing equations. Also, verify you(x-. 5) + 3 (x + 6) = 12 |
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Answer» 2(x-5) +3(x+6) =122x-10+3x+18=12x+8=12x=12-8x=4 |
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| 40. |
(ii) The modulus of 1 +8i is8+8+(1+ ৪ -এর মডিউলাস হবে) |
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Answer» Let z = (8+i)/(1 + 8i) = (8+i)*(1 -8i)/ (1 + 8i)(1 - 8i) = (8 - 64i + i + 8)/ (1 + 64) = (16 - 63i)/65 Modulus of z= sqrt[(16/65)^2 + (-63/65)^2]= sqrt[(256 + 3969)/4225]= sqrt(4225/4225)= sqrt(1) = 1 |
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| 41. |
0.15) From the given figure, find the values of angles x &y,given that AB // CDsoo1 3 |
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Answer» y = 130° ( vertically opposite angle)x = 130° ( corresponding angle) |
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| 42. |
Q.15) From the given igure, find the values of angles x & y.given that AB// CDso3 |
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Answer» x + 50° = 180° (linear pair)x = 180° - 50° = 130°y = 130° ( vertically opposite angle)as corresponding angle are equal so AB ||CD |
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| 43. |
The value of sin 15° is(sin 15° -এর মান হবে)3–1| (a) 22 |
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| 44. |
If tan A = 3, then the value of cos2A is(tanA = 3 হলে, cos2A-এর মান হবে)| (a) !(b) 25(d) - |
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| 45. |
को अवरोही (घटते हुए) क्रम में निम्न11 11 11 11| 3. भिन्न 25 2713' 19८प्रकार से लिखा जाएगा- |
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Answer» 11/13,11/19,11/25,11/27 11/27,11/25,11/19,11/13 |
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| 46. |
.5Thethemidpointsvanueof the sides of a triangle are (3, 4), (4, 6) andof K.(5. 7). Find the coordinates of vertices of the triangle. |
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| 47. |
101.बुनियादी ढाँचा और परिवहन पर कुल व्यय तथा कर।एवं ऋणों पर ब्याज पर कुल व्यय का अनुपात क्या है?(A)9 : 7 (B) 13 : 11(C) 5 : 4 (D) 8 : 7(B) । |
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Answer» B because answer is on right side answer is ( A ) 9 : 7. =(20+12.5):(10+17.5)=32.5 :27.5 =13:11 |
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| 48. |
(h)(h)9 3811 11 11-+-+ |
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Answer» adding 11,8,3 so we will get 20 so the final answer will be 20/11 |
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| 49. |
1 Divide 34 into two parts such that 측 of one part is equal toof the other. |
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Answer» let first part x and 2nd part 34 - x a/c to question , 4/7 (x ) = (34 - x )(2/5) 4x/7 + 2x/5 = 34 x 2/5 = 68/5 34x/35 = 68/5 x = 14 |
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| 50. |
Write all the factors of:(a) 25(b) 42 |
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