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.
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CET CELLPractSectionsQuestionsMarks(A) Mathematics50100The angle subtended at the centre of circle of radius3 meters by an arc of length I meter is equal toa) 200I.b) 60c) radiand) 3 radians |
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Answer» l=rthetatheta=l/r=1/3radians |
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| 2. |
5 What iS6 What is noise pollution? Explain the harmful effects of noise pollution? |
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Answer» Ans :- Noise pollution, also known as environmental noise or sound pollution, is the propagation of noise with harmful impact on the activity of human or animal life. The average noise level of 97.60 dB obtained exceeded the WHO value of 50 dB allowed for residential areas. Noise pollution can causehypertension, highstresslevels, tinnitus,hearing loss, sleep disturbances, and other harmful effects. Sound becomes unwanted when it either interferes with normal activities such as sleeping, conversation, or disrupts or diminishes one's quality of life. |
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1250. The valueis same asame asa) 4V3b) 573c) 123 |
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Answer» a) is correct ans. 4√3 |
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| 4. |
25. Explain digestion of food in stomach. |
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Answer» Digestionis the breakdown of large insolublefoodmolecules into small water-soluble food molecules so that they can be absorbed into the wateryblood plasma. In certain organisms, these smaller substances are absorbed through thesmall intestineinto theblood stream. Digestion is a form ofcatabolismthat is often divided into two processes based on how food is broken down: mechanical and chemical digestion. The termmechanical digestionrefers to the physical breakdown of large pieces of food into smaller pieces which can subsequently be accessed bydigestive enzymes. Inchemical digestion,enzymesbreak down food into the small molecules the body can use. |
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5. Which of the two rational numbers is greater in the given pair?vor o(1) or 0(11) or(iv) Sor-4(v)or(vi)orJoe |
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| 6. |
| Diellde BIE 215 हु, ५ [] एस ‘N soo ‘s |
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| 7. |
Joe kicks a football with the height of the ball modeled by f(x)=-16x +64x where x is the time in seconds.How long will it take for the ball to hit the ground? |
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Answer»  The rational numbers (ℚ) are included in thereal numbers(ℝ). On the other hand, they include theintegers(ℤ), which in turn include thenatural numbers(ℕ) Inmathematics, arational numberis anynumberthat can be expressed as thequotientorfractionp/qof twointegers, anumeratorpand a non-zerodenominatorq.[1]Sinceqmay be equal to1, every integer is a rational number. Thesetof all rational numbers, often referred to as "the rationals", thefield of rationalsor thefield of rational numbersis usually denoted by a boldfaceQ(orblackboard bold{\displaystyle \mathbb {Q} }, Unicode ℚ);[2]it was thus denoted in 1895 byGiuseppe Peanoafterquoziente, Italian for "quotient". Thedecimal expansionof a rational number always either terminates after a finite number ofdigitsor begins torepeatthe same finitesequenceof digits over and over. Moreover, any repeating or terminating decimal represents a rational number. These statements hold true not just forbase 10, but also for any other integerbase(e.g.binary,hexadecimal). Areal numberthat is not rational is calledirrational. Irrational numbers include√2,π,e, andφ. The decimal expansion of an irrational number continues without repeating. Since the set of rational numbers iscountable, and the set of real numbers isuncountable,almost allreal numbers are irrational.[1] Rational numbers can beformallydefined asequivalence classesof pairs of integers(p,q)such thatq≠ 0, for theequivalence relationdefined by(p1,q1) ~ (p2,q2)if, and only ifp1q2=p2q1. With this formal definition, the fractionp/qbecomes the standard notation for the equivalence class of(p,q). Rational numbers together withadditionandmultiplicationform afieldwhich contains theintegersand is contained in any field containing the integers. In other words, the field of rational numbers is aprime field, and a field hascharacteristic zeroif and only if it contains the rational numbers as a subfield. FiniteextensionsofQare calledalgebraic number fields, and thealgebraic closureofQis the field ofalgebraic numbers.[3] Inmathematical analysis, the rational numbers form adense subsetof the real numbers. The real numbers can be constructed from the rational numbers bycompletion, usingCauchy sequences,Dedekind cuts, or infinitedecimals. 16×3600+64×60 solve the answer |
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『94 İS Y hombuj 1p2psae=soo Find t婉 |
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| 9. |
Allie and Joe are playing a game with aspinner. The spinner is divided into fourequal sections. Two of the sections areorange, one is purple, and one is white.When it's Allie's turn, she spins the spinner.What is the probability that the spinnerlands on red? |
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Answer» Probablity of red =0/4=0 |
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| 10. |
o " -6 9०3 ०पा टी N = e ms b 9 soo % ही बे, |
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Answer» cosA+sinA=√2cosAsquaring both the sides =>(cosA+sinA)²=2cos²A=>cos²A+sin²A+2sinAcosA=2cos²A=>cos²A-2cos²A+2sinAcosA= -sin²A=> -cos²A+2sinAcosA= -sin²A=> cos²A-2sinAcosA=sin²Aadding sin²A on both the sides => cos²A+sin²A-2sinAcosA=2sin²A=> (cosA-sinA)²=2sin²A=> cosA-sinA=√2sinA thanks |
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| 11. |
PL--Regular |
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Answer» this picture is not good okkkk so second pic next time This picture is correct cleaner |
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| 12. |
m pl |
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| 13. |
O3 | Rita’s 3 5 yus: menz thom 4Lusce " age of Rlo, hor mthenl nag, l.gg,s By Soss tham M‘Jmfiw_u%:amd._hu %amdafl.efi;&#l’bfig_gflkw |
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| 14. |
+ A +cos A and y = cot A-cos A, prove that35. If x = cot A+35. 1x =col 4 pe-y. (sy pa ces A, prove thatx+y) |
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1 The nt tem01-asesequence soo rmed is Apteem |
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s. A solid metallic cuboid of dimensions (9 m x 8mx2m) is mrecast into solid cubes of edge 2 m. Find the number of cubes selted ando formed.ICRSE 2017 |
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| 17. |
one scoreThe total number of children in a class is 40. 7 children were absent onMonday. What fraction of the class was absent? What fraction of the claswas present? |
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Answer» absent = 7/40 present = 33/40 |
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1).coaat ces sa ă Ą.cste |
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Answer» cos7A+cos5A = 2cos(7A+5A)/2×cos(7A-5A)/2 = 2cos6AcosA sin7A-sin5A = 2cos(7A+5A)/2×sin(7A-5A)/2 = 2cos(6A)sinA on diving both 2cos6A gets cancelled, and we get = cosA/sinA = cotA |
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Find the length of a chord which is at a distance of 12cm from the center of thr circle and radius iof the circle is 13cm. |
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| 20. |
80, 10 कोणीA two anelor ase subblemestecuका युम।thom Thom $11m |
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Answer» 80 और 10 कोंडो का युग्म एक समकोण ( 90 ) होता है। 80"+10" कोणो का युग्म पूरक हैं l 80 10 kono ka yog mein ek sampurn 90 degree hota hai |
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| 21. |
tSihACes A |
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Answer» tq |
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| 22. |
A Ciwcle w M cevive 0. dvam7 chord AD A4 dwaen - Ao etLy draeÂŽ Lot [ |
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| 23. |
अति से i| ek volio D Amgn 3 da (SR e1 0m) अनाज कह 3 व5 5:7 )3 Ao N én |
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Answer» 3:4=3/4=0.755:7=5/7=0.71 Therefore 3:4 is larger than 5:7 |
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| 24. |
A book was sold for Rs 27.50 with a profit of 10%. Ifit were sold for Rs. 25.75, then would have beenpercentage of profit and loss? |
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| 25. |
eation. Write about Gandhara School of art. |
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Answer» The Gandhara School of art had also developed in first century AD along with Mathura School during reign of Kushana emperor Kanishka. Both Shakas and Kushanas were patrons of Gandhara School, which is known for thefirst sculptural representations of the Buddha in human form. The art of the Gandhara school wasprimarily Mahayanaandshows Greco-Roman influence. |
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3a. A labourer is engaged for 20 days on the condition that he will receive ? 120 for each day heworks and will be finer?i0lor each day he is absent if he receives รุ 1880 in all. for howmany days did he remain absent? |
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A laboren is engaged you20days and thecondition that he will receive Rs 60 percach daythe works and he will be fined Rs 25 Moreachday he is absent. If he receive Rs 745 inallº, you how many days the remainedlabsent 2 |
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30. A man is engaged as a typist for 30 days on the condition that he receivest 175 for each day he works and has to pay 50 for each day he remainsabsent. If he receives4125 in all, for how many days does he remain absent? |
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15. An employee works in a company on a contract of 30 days on the condition that hewill receive 200 for each day he works and he will be fined 20 for each day he isabsent. If he receives 3800 in all, for how many days did he remain absent? |
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| 30. |
iof two ces ase 19 am and mthe radius of theeof dhe tao caciesto the sum of the |
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5.Find the scalar and vector components of the vector with initial point (2, 1) andterminal point (-5,7).6. Fini thee |
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15. An employee works in a company on a contract of 30 days on the condition that he willmeceive 200 for each day he works and he will be fined * 20 for each day he is absent.If he receives 3800 in all, for how many days did he remain absent?1. |
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| 33. |
2. An artist started carving a sculpture on 1 September 2002 andcompleted his work on 20 December of the same year. How many daysdid he take to complete his artwork?t 、Aahih days |
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Answer» start date is 1st September and end date is 20 December.so number of days= 30(September) + 31 (October) + 30 (November) + 20 (December)=111 days |
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| 34. |
3. Madhav bought a DVD for₹ 300 and sold it for ₹270. Calculate his profit or loss percentage4. A pillow was bought for 60 and sold at a loss of 18%. Find the loss and the the selling price of the pillow |
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| 35. |
27. An article is sold for 300 at a profit of20%. Had it been sold for 235, the losspercentage would have been |
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| 36. |
poster on mathamatics in sculpture |
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| 37. |
If x =rsin acos B, y = rsin asin p and z = rcos a, prove thatPyâ +t=r |
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Answer» X^2+y^2+z^2= R^2Cos^2alphasin^2beta + r^2cos^2alphacos^2beta+ R^2sin^2 alpha R^2[Cos^2alpha(sin^2beta+ cos^2 beta)+sin^2 alpha] R^2[Cos^2 alpha + sin^2 alpha]=r^2 Like my answer if you find it useful! |
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| 38. |
4 % of the population of village migrated to Mumbai and I 5% of the remaining people left thevillage to move to pune. If the remaining population is 3570, how many people were there in thatvillage before the migration? |
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Answer» let x be the initial populationthen after 4% migrated to Mumbai population=x-4%of x=x-0.04x=0.96xafter 15% left village population=0.96x-15%×0.96x=0.816xalso remaining population=35700.816x=3570x=4375 |
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13. A labourer earns1980 in 12 days.(I) How much does he earn in 7 days?(1l) In how many days will he earn 2640? |
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18., A labourer is engaged for 20 days on the condition that he will receive 60 for each day he worksfor how many days did he rewill be fined 5 for each day he is absent. If he receives Rabsent?he receives745 in all,745 in all, |
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| 41. |
4. Sadabhau sold 300 grafts of mango at F250 each. In this transaction Sadabhaugot 2% commission. What commission did Sadabhau receive?2000 (2) 1800 (3) 1600 (4) 1500 |
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Answer» Sadabhau sold 300 grafts of mango at Rs.250 each. =>Total cost of all grafts of mango=300×Rs 250=Rs.75000 In this transaction, Sadabhau got 2% commission. ∴Amount of commission did he receive=2% of Rs.75000=Rs. 1500 Option 4 is correct. |
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| 42. |
4. Sadabhau sold 300 grafts of mango at 250 each. In this transaction Sadabhaugot 2% commission. What commission did Sadabhau receive?)2000 (2) 1800 (3) 1600 (4) 1500 |
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Answer» Commission = 2% of (250*300)= 2% of Rs. 75000= 2/100 * 75000= Rs.1500 |
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25. The wages of 10 men and 8 boys amount to Rs 37; if 4 mentogether receive Rs 1 more than 6 boys, what are the wages of eachman and boy? |
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Answer» Let the wage of 1 man be rs x and the wage of 1 boy be rs y. Now, 10x+8y=37......(1) and, 4x=1+6y also, 4x-6y=1.........(2) So,(1)×2; 20x + 16y = 74.....(3)(2) ×5; 20x - 30y = 5........(4) (3)-(4);46y = 69y= 1.5x=2.5 So, the wage of each man is rs 2.5 while the wage of each boy is rs 1.5. |
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| 44. |
दि 3, 9 का दुगना है और 8 का तीन केअनुपात होगा : |()3:4:8 b) 848: (b) 8:4:3 . i= ”y & -~cगुणा 0 |
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Answer» A=2B3B= 4cA/B = 2/1---(multiply by 4)and B/C= 4/3A/B= 8/4now अनुपात 8:4:3 hoga |
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| 45. |
22rsin B,proventan B and sin A- msin B, prove that cos A12-1If tan A |
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| 46. |
13. A labourer earns R 1980 in 12 days.(i) How much does he earn in 7 days?(ii) In how many days will he earn 2640? |
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| 47. |
13. A labourer earns1980 in 12 days.(1) How much does he earn in 7 days?(ii) In how many days will he earn 2640? |
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| 48. |
4. If a labourer earns672 per week, how much will he earn in 18 days? |
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Answer» Money earned in 7 days=rs. 672Money earned in 1 day= 672÷7=rs.96Money earned in 18 days=96×18=rs. 1728 |
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| 49. |
nl ni, lind the cost of one pcore pencilsIf a labourer earns 672 per week, how much will he carn in 18 days? |
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Answer» Money earned in 7 days=rs. 672Money earned in 1 day= 672÷7=rs.96Money earned in 18 days=96×18=rs. 1728 |
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| 50. |
The daily wage of a supervisor isthan that of a labourer. If 5 supervisorsand 7 labourers together receive 1500,find the wages of a supervisor and alabourer(8)60 more |
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Answer» let labourer wage be l and supervisor be shence60+l=s, s-l=605s+7l=1500....givenhencemultiply equation 1 by 77s-7l=4205s+7l=1500adding 1 and 212s=1920s=160rupeeshencelaborer wage =100rupees |
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