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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. |
hort Answer Iype1. A bucket has top and bottom diameters of 40 cmand 20 cm respectively. Find the volume of thebucket if its depth is 12 cm. Also, find the cost oftin sheet used for making the bucket at the rate ofse t 3.141.20 per dm2.(U) |
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| 2. |
\sin 150^{\circ} \cos 120^{\circ}+\cos 330^{\circ} \sin 660^{\circ}+1=0 |
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Answer» L.H.S.sin150 cos 120 + cos 330 sin 660 +1=sin (180-30) cos (180-60) +cos (360- 30) sin ( 2×360 -60) +1=sin 30 [ - cos60 ] + cos 30 [ - sin 60] +1=1/2 ( - 1/2) + root3 /2 ( - root3 /2) +1=-1/4 + (- 3/4) +1=-1/4 -3/4 +1 =(-1-3)/4 +1= -1 +1= 0 |
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| 3. |
2 )A dozen nakbookscast136. How many natchooks |
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Answer» therefore 23 notebooks cost rupees 350 6. 50. 22.96=23notebooks.......................... |
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| 4. |
71. A factory manufactures 120,000 pencils daily The pencils are cylindrical in shape eachof length 25 cm and circumference of base as 1.5 cm. Determine the cost of colouring thecurved surfaces of the pencils manufactured in one day at 0.05 per dm2 |
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Answer» Number of pencils manufactured in one day = 1,20,0001 decimeter(dm) = 10 centimeter(cm)length = 25cm = (25/10) dm = 2.5 dmcircumference = 1.5cm = (1.5/10) dm = 0.15dm curved surface area= circumference× length = 2.5×0.15 dm² =0.375 dm²curved surface area of all pencils = 0.375×1,20,000 = 45,000 dm²cost of colouring = Rs.0.05 per dm²total cost = 0.05×45,000 = Rs. 2250 |
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| 5. |
A design on the wallof room consists of 1000 tiles of the shape of parallelogram. lfaltitude and base of each tile is 10 cm and 4 cm respectively, find the cost of polishingthe design at the rate of ? 9.50 per dm2, |
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Answer» Area of parallelogram=base*heightArea =10*4=40cm^2Area of 1000 tiles=40*1000=40000cm^21cm^2=.01dm^240000cm^2=40000*.01=400dm^21dm^2= Rs 9.50400dm^2=9.50*400=3800Rs |
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| 6. |
4, A design on the wall of room consists of 1000 tiles of the shape of parallelogram. Ifaltitude and base of each tile is 10 cm and 4 cm respectively, find the cost of polishingthe design at the rate of 9.50 per dm2. |
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Answer» Area of each tile = bh =10×4=40cm2Total number of tiles in the room = 1000⇒Total area that needs to be polished =1000×40=40000cm2=4m2Cost of polishing 1 m2=Rs9.50⇒Cost of polishing 4m2=9.50*4=38rupees |
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| 7. |
1.Afactorymanufactures 120000 pencilsdaily. The pencils are cylindrical in shapeeach of length 25 cm and circumference ofbase as 1.5 cm. Determine the cost ofcolouring the curved surface of the pencilsmanufactured in one day at 0.05 perdm2 INCERT Exemplar Problem)0 |
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Answer» Number of pencils manufactured in one day = 1,20,0001 decimeter(dm) = 10 centimeter(cm)length = 25cm = (25/10) dm = 2.5 dmcircumference = 1.5cm = (1.5/10) dm = 0.15dm curved surface area= circumference× length = 2.5×0.15 dm² =0.375 dm²curved surface area of all pencils = 0.375×1,20,000 = 45,000 dm²cost of colouring = Rs.0.05 per dm²total cost = 0.05×45,000 = Rs. 2250 thanku |
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| 8. |
A bucket has top and bottom diameters of 40 cm and 20 cm respectively. Find the volumeof the bucket if its depth is 12 cm. Also, find the cost of tin sheet used for making thebucket at the rate of 1.20 per dm2. (Use t 3.14)1. |
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| 9. |
013. If (x 1)2- 108(x 1) 330 0.Find the value of x. |
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| 10. |
Q13. If (x-1)2-108(x-1)-330 = 0. Find the value of x. |
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| 11. |
1. From a point on the ground, the angles of elevation of the bottom and the top oftransmission tower fixed at the top of a 20 m high building are 45 and 60° respectivelyFind the height of the tower. |
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| 12. |
From a point on the ground, the angles of elevation of the bottom and the top of atransmission tower fixed at the top of a 20 m high building are 45 and 60° respectivelyFind the height of the tower |
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| 13. |
7. From a point on the ground, the angles of elevation of the bottom and the top of atransmission tower fixed at the top of a 20 m high building are 45° and 60° respectivelyFind the height of the tower. |
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Answer» Thankyou |
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| 14. |
towards the building. Find the distance he walked towards the building. From a point on the ground, the angles of clevation of the bottom and the top of atransmission tower fixed at the top of a 20 m high building are 45° and 60° respectivelyFind the height of the tower |
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| 15. |
है. मश्नावली 6.51: आकृति कक में 270 की भुजाओं op और 0 को क्रमश: बिन्दुओं 5 औरAR £ SPR=135° & 30 £ por=110° %, 9 £ PRQ W ARसंकेत: LPRO=’A 10%,T Q आकृतिआकृति 6.39. दि |
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Answer» please like my answer if you find it useful |
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| 16. |
Mention the various ways in which the Britishand the Germany Soldiers become friends andfind things in common at Christmas |
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| 17. |
1. If the radii of the ends of a 42-cm-high bucket are 16 cm and 11 cm,determine its capacity. Take π = 22%. |
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| 18. |
3. A factory manufactures 120000 pencils daily. The peneils are cylindrical in shape each of length 25 cmrence of base is 1.5 cm. Determine the cost of colouring the curved surfaces of the pencilsand circumferene of base is 1.5 cm. Determine the cost ofmanufactured in one day at cost 0.05 per dm2uhoidal nond which is |
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Answer» Number of pencils manufactured in one day = 1,20,0001 decimeter(dm) = 10 centimeter(cm)length = 25cm = (25/10) dm = 2.5 dmcircumference = 1.5cm = (1.5/10) dm = 0.15dm curved surface area= circumference× length = 2.5×0.15 dm² =0.375 dm²curved surface area of all pencils = 0.375×1,20,000 = 45,000 dm²cost of colouring = Rs.0.05 per dm²total cost = 0.05×45,000 = Rs. 2250 |
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| 19. |
\left( \frac { 36 \sqrt { 6 } + 6 ^ { 5 / 2 } } { 108 \times 12 } \right) ^ { 2 } = 6 ^ { n } |
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| 20. |
32. Determine the longest tape which can be used to measure exactly the length32. Determine the longest tape which can be used to measure exactly the lengths3 m 85 cm and 12 m 95 cm.Hint. Convert all the lengths to cm and then take the HCF.33. A rectangular courhard te 18 m 72 am |
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| 21. |
ring, assuming that there is no slack in the string.elevation from his eyes to the top of the building increases from 30° to 60° as he walkstowards the building. Find the distance he walked towards the building. |
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| 22. |
s 00. I6. A 1.5 m tall boy is standing at some distalic lelevation from his eyes to the top of the building increases from 30°towards the building. Find the distanceto 6phe walked towards the buildingnales nf elevation of the bottom and the |
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| 23. |
2, then sum of their reciprocals14is:4.If α and β are the zeroes of the polynomial 5r2-7x2577255 |
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| 24. |
towardsthebuilding.Findthedistancehewalkedtowardsthebuildi7, From a point on the ground, the angles of elevation of the bottomtransmission tower fixed at the top of a 20 m high building are 45e and 60Find the height of the tower.h |
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| 25. |
Use Euclid's division(i)135 and 225 |
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| 26. |
Use Euclid's division(W 135 and 225 |
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Answer» By euclid's division algorithm225=135×1+90135=90×1+4590=45×2+0hence the HCF is 45 |
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| 27. |
Use Euclid's division algo(i) 135 and 225 |
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Answer» 135 and 225 Since 225 > 135, we apply the division lemma to 225 and 135 to obtain 225 = 135 × 1 + 90 Since remainder 90 ≠ 0, we apply the division lemma to 135 and 90 to obtain 135 = 90 × 1 + 45 We consider the new divisor 90 and new remainder 45, and apply the division lemma to obtain 90 = 2 × 45 + 0 Since the remainder is zero, the process stops. Since the divisor at this stage is 45, Therefore, the HCF of 135 and 225 is 45. |
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| 28. |
Use Euclid's division algorithnm(i)135 and 225 |
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| 29. |
1 + \frac { 4 } { 5 } + \frac { 7 } { 25 } + \frac { 10 } { 125 } + |
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Answer» i) Given: S = 1 + 4/5 + 7/25 + 10/125 + 13/625 + .... ---------- (1) ii) Multiplying the above by 1/5 both sides[Why 1/5? Reason: In the given sequence every term on right side is multiplied by 1/5] S/5 = 1/5 + 4/25 + 7/125 + 10/625 + ..... ==> S/5 = 0 + 1/5 + 4/25 + 7/125 + 10/625 + ...... ------ (2) iii) (1) - (2): Subtract the corresponding terms: (S - S/5) = (1 - 0) + (4/5 - 1/5) + (7/25 - 4/25) + (13/125 - 10/125) + .... ==> 4S/5 = 1 + 3/5 + 3/25 + 3/125 + ..... ==> 4S/5 = 1 + (3/5)(1 + 1/5 + 1/25 + 1/125 + ...) ! + 1/5 + 1/25 + 1/125 + .... is a infinite GP, with first term = 1 and common ratio = 1/5,whose sum to infinite terms = a/(1 - r) = 1/(1 - 1/5) = 5/4 Thus, 4S/5 = 1 + (3/5)(5/4) = 1 + 3/4 = 7/4 Hence S = (7/4)*(5/4) = 35/16 So sum of the given sequence to infinite terms = 35/16 |
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| 30. |
1. Solve: 3n + 7 252. Evaluate: [(-6)+ 5]+[-2+1 |
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Answer» 1. 3n + 7 = 253n = 25 - 73n = 18n = 18/3n = 6 2.[ (-6) + 5] ÷ [ -2 + 1] (-1) ÷ (-1) 1 |
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| 31. |
maharana pratap kon tha |
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Answer» महाराणा प्रताप सिंह( ज्येष्ठ शुक्ल तृतीया रविवार विक्रम संवत १५९७ तदानुसार ९ मई १५४०–१९ जनवरी १५९७)उदयपुर,मेवाडमेंसिसोदिया राजपूत राजवंशके राजा थे। उनका नामइतिहासमें वीरता और दृढ प्रण के लिये अमर है। उन्होंने कई सालों तक मुगल सम्राटअकबरके साथ संघर्ष किया। महाराणा प्रताप सिंह ने मुगलों को कईं बार युद्ध में भी हराया। उनका जन्म राजस्थान के कुम्भलगढ़ में महाराणा उदयसिंह एवं माता राणी जयवंत कँवर के घर हुआ था। १५७६ के हल्दीघाटी युद्ध में २०,००० राजपूतों को साथ लेकर राणा प्रताप ने मुगल सरदार राजा मानसिंह के ८०,००० की सेना का सामना किया। शत्रु सेना से घिर चुके महाराणा प्रताप को झाला मानसिंह ने आपने प्राण दे कर बचाया ओर महाराणा को युद्ध भूमि छोड़ने के लिए बोला। शक्ति सिंह ने आपना अश्व दे कर महाराणा को बचाया। प्रिय अश्वचेतककी भी मृत्यु हुई। यह युद्ध तो केवल एक दिन चला परन्तु इसमें १७,००० लोग मारे गए। मेवाड़ को जीतने के लिये अकबर ने सभी प्रयास किये। महाराणा की हालत दिन-प्रतिदिन चिंताजनक होती चली गई । २५,००० राजपूतों को १२ साल तक चले उतना अनुदान देकरभामाशाहभी अमर हुआ। |
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| 32. |
what is sets {1/2,2/3,3/44/5,5/6,6/7} inst builder form |
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| 33. |
. Use Euclid's division alg135 and 225. Show that any positive o6i) |
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| 34. |
x +3 2x-5 3x -5725 |
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Answer» (x+3)/7 - (2x-5)/3 = (3x-5)/5 - 25 (3x+9-14x+35)/21 = (3x-5-125)/5 5(-11x+44) = 21(3x-130) -55x + 220 = 63x - 2730 118x = 2950 x = 2950/118 = 25 |
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| 35. |
24. Prove that if a line is drawn parallel to one side of a triangle to intersectthe other two sides in distinct points, then the other two sides are dividedin the same ratio.In Fig. 2, DE ||AC and DFll AEProve that: FE ECBF BEF E |
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| 36. |
Area of Circle, Sector and Segment 707figure, OPQR is a rhombus, three of Alie on a circle with centre O, If the ithombus is 3243 ¢m? , find the radius \ |
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| 37. |
8/7+3/8 |
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Answer» 8/7+3/864+21/5685/56will be the answer for this |
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| 38. |
Write duals of the following statements.(i) (png)vr.(ii) Tv (pv q) |
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| 39. |
ALG Eletric bill of 3 months is I 1800-What is the bill for 24 months |
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Answer» 3 months=18001month=1800/3=₹600 For 24months electric bill=24×600=₹14,400 |
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| 40. |
Write the negations ofthe following statementsSujay is a good boy6<7(ii) 5+6 12(iv) China is a commu |
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Answer» i) suraj is not a good boyii) 5+6 in not equal to 12iii) 6 not greater 7 |
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| 41. |
Probability" is defined as:1 3ichFavorable outcomes divided byunfavorable outcomesOFavorable outcomes divided by totaloutcomesOTotal outcomes divided by favorableoutcomesOUnfavorable outcomes divided byfavorable outcomes |
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Answer» favorable outcomes divided by total outcomes |
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| 42. |
7Represent- andon the number line.7 38 |
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| 43. |
2*e^2 - 52*e %2B 6=0 |
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Answer» x^2-5x+6=x^2-3x-2x+6= x(x-3)-2(x-3)=( x-3)( x-2); x=3 & 2 |
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| 44. |
speed in kes to 30°. If the plane is flying at a constant height ofof a triangle to intersect the other two sides in distinct poinevation cnts,If aline is drawn parallel to one sideprove that the other two sides are divided in the same ratio.Using the above, prove the following:In Fig. 4, AB1|DE and BCI|EF. Prove that ACII DFa triangle to intersect the othFig. 4 |
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Answer» Like my answer if you find it useful! |
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| 45. |
8. The profit of a shop is 3210. If of it belongs to A to B and the remaining to C, what isValue Based the share of each? What values can be depicted by the shop with the business?Question |
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Answer» 856 is the correct answer of the given question |
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| 46. |
8. If the nth term of a number sequence is 6n +5, find the 12 term of the sequence. 9. Writefollowing statements.a A number when divided by 6 gives quotient as 36.b. 3 less than one-fifth of a number is 16. 3Sum of twice of a number and 8 is 22.de Age of Mayank is 30 years less than his father.12 |
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| 47. |
Probability" is defined as:1 31chFavorable outcomes divided byunfavorable outcomesFavorable outcomes divided by totaloutcomesTotal outcomes divided by favorableoutcomesOUnfavorable outcomes divided byfavorable outcomes |
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Answer» favourable outcomes divided by total number of outcomes Favorable outcome divided by total outcome |
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| 48. |
2” | I e o () £k के‘2 / At zewoas of H सकल 12५हे एनएर+वाएि एक मे, कल फीि ke न ८.R A L . |
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Answer» how answer 9 explain |
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| 49. |
Rearrange the following to form meala. has/dedicated/she/service/poore following to form meaningful sentences.ated/she/service/poor/of/the/herself/to/themother/ died/after/his/oliver's/birth/soonon/top/for/the/of/almirah/the/keys/lookplay/they/will/rain/football/stops/again/the/whend.annoyed the king/his/curbed/authority / the Lord/by/was/when/was |
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| 50. |
Subtract the sum of 7x+4x+ 5 and -3x+2x- 2 from7x²- 2x- 9. |
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Answer» thank you shameek let god bless you |
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