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. |
Answer the following queslons H Delail1. What led to the rise of new castes and hierarchy in the varna-based Indian society in themedieval period? |
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Answer» According to this theory, the caste system is of divine origin. It says caste system is an extension of the varna system, where the 4 varnas originated from the body of Bramha. At the top of the hierarchy were the Brahmins who were mainly teachers and intellectuals and came from Brahma’s head. Kshatriyas, or the warriors and rulers, came from his arms. Vaishyas, or the traders, were created from his thighs. At the bottom were the Shudras, who came from Brahma’s feet. The mouth signifies its use for preaching, learning etc, the arms – protections, thighs – to cultivate or business, feet – helps the whole body, so the duty of the Shudras is to serve all the others. The sub castes emerged later due to inter marriages between the 4 varnas. The proponents of this theory cite Purushasuktaof Rigveda, Manusmriti etc to support their stand. |
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| 2. |
2 The following data on the number of girls (to the nearest tendifferent sections of Indian society is given below.Number of girls per thousand bonSectionScheduled Caste (SC)Scheduled Tribe (ST)Non SC/STBackward districtsNon-backward districtsRuralUrban940970920920930910 |
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| 3. |
16. Find the sum of all the interior angles of a polygon of 15 sides. |
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Answer» Answer: Thesumof interioranglesof a15 sided polygonis 2,340° and each interiorangleis 156° the sum of the interior angles of a polygon is. where n is the number of sides of the polygon. here n=15. sum =180∘×13=2340∘ one interior angle =2340∘15=156∘ |
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| 4. |
what is secularism |
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Answer» Secularismrefers to the separation of religion from the state. It means that the state should not discriminate among its citizens on the basis of religion. It should neither encourage nor discourage the followers of any religion. |
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| 5. |
find the no of sides of regular polygon whose each exterior angle is 45° |
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| 6. |
K 13.) (a) Find the quadratic polynomial whose21sum and product of the zeros are –andrespectively.16 |
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Answer» products 21/8 × 5/16=21×5/16×8=105/56=1.875; 21/8+5/16=105/56=0 x+y=21/8; xy=5/16; x^2+21/8x-5/16=16x^2+42x-5 16x^²-42x+5 = 0 is the correct answer of the given question |
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| 7. |
is 4 times the thirdFind three numbers in G.P whose sum is 13 and the sum of whose squaresis 91 |
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Answer» part 2 9,3,1 |
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| 8. |
Q. 2 (A)Choose the correct option from alternatives aru ul1)Find out numbers whose sum is 24 and product is 143.(013 11 (d) 12, 13 |
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Answer» Let the numbers are x and (24 - x) As per given conditionx*(24 - x) = 143x^2 - 24x + 143 = 0x^2 - 13x - 11x +143 = 0x(x - 13) - 11(x - 13) = 0(x - 13)(x - 11) = 0x = 13, 11 Therefore, numbers are 13 and 11 |
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| 9. |
Find the number of sides of regular polygon whose each exterior angle has a measure of 40 degree. |
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Answer» Sum of the exterior angles of regular polygon = 360°But each exterior angle = 40°number of sides of regular polygon = 360° / 40° = 9 |
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| 10. |
xterior angles is 50Iv) polygon OI 15 SU.2. Is it possible to have a regular polygon each of whose exterior anfor angle of a regular polygon havina |
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| 11. |
5. Find the number of sides of a regular polygon whose each interior angle is of 1350 |
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Answer» 8 sides is the answer |
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| 12. |
L. Find the number of sides of a regular polygon whose each exterior angle has a measure of(ii) 60°(ii) 72° |
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| 13. |
b. Find the measure of interior angle of a regular polygon whose exterior angleis 120°. Can you guess the shape of the polygon? Draw the same consideringeach side of length 3 cm. |
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| 14. |
8. Find the number of sides of a regular polygon whose each exterior angles has a measure of 45 |
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| 15. |
4 Two cubes each of side 5 cm are joined end to end. Find the surface area of the resultant cuboid. |
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Answer» Nyc |
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| 16. |
If x = -1|2 , is a zero of the polynomial p(x)=8x cube - ax square - x +2 , then find a. |
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Answer» P(x) = 8x^3 - ax^2 - x + 2 x = - 1/2 is a zero of polynomial Therefore,For x = - 1/2, given polynomial equal to zero 8*(-1/2)^3 - a*(-1/2)^2 - (-1/2) + 2 = 08*(-1/8) - a*(1/4) + 1/2 + 2 = 0- 1 - a/4 + 5/2 = 05/2 - 1 = a/4(5 - 2)/2 = a/43/2 = a/4a = 4*3/2 = 6 |
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| 17. |
8. In right triangle ABC, right angled at C, M ishis is a veroved as shthe mid-point ofhypotenuse AB. C is joinedto M and produced to a point D such thatDM = CM. Point D is joined to point B(see Fig. 7.23). Show that:rem 7.2result caM roots is iof: We ahichA(ii)DBC is a right angle.B(iii) Δ DBCΔ ACBFig. 7.23Let uspointand E(iV) CM 2 AB |
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| 18. |
If the product of two zeroes of the polynomial 3x cube+5x square -7x -27 be 3 then find the third zero. |
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Answer» Given,Let p, q and r are three zeroes of 3x^3 + 5x^2 - 7x - 27 p*q = 3.......(1) We know,Product of three zeroes of polynomial = - d/a Then, p*q*r = - (-27)/3 = 9......(2) Put value of p*q from eq(1) in eq(2)r = 9/3r = 3 Therefore, third zero is 3 |
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| 19. |
e down a pair of integers llsum is -7(b) difference is -10e a pair of negative integers whose difference ginte a negative integer and a positive integer whosnite a negative integer and a positive integer whoa quiz, team Ascored -40, 10, 0 and team B scored 1ore? Can we say thaunds. Which team scored my order?ill in the blanks to make the following statements truei) -53 3(iv) [13+12) . 13-12)+ (MULTIPLICATION OF INTEGERSan add and subtract integers. Let us now learn ho |
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| 20. |
3sin2x+cos2x+2Thenumberofsolutions ofthe equation (V3sinx-cos xyosida,coax 2) = 4ine |
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| 21. |
The type of the real numbers with irrational inBut we would consider now, that these real nuthey are defined31 Ifp=qº=r and par=1, then let us werLet's WLet us find out the values:po (58)* < (16)on nii |
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| 22. |
CHAPTER : 3Application: 13. If two circles intersect each other at two points, then let us prothe centres lie on the perpendicular bisector of their common chord,er at two points, then let us prove that their |
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| 23. |
7.The difference between the circumference and the diameter of a wheel is 75 cm., let uscalculate the length of radius of this wheel. |
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| 24. |
3.There is a stock of 1071 dhotis, 595 sarees and 357 dresses. Let us calculatethe maximum number of families among which these can be distributed equally. How manyof these things each, the families will receive. |
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Answer» there is a stock of 1071 dhotis, 595 sarees and 357 dress. let's us calculate, what will be the maximum number of families among which these can be distributed equally. haow many of these things each, the families will receive We need to find HCF in this question.HCF(1071,595,357)=119So maximum 119 families can get them.Each family will get=1071/119 = 9 dhotis595/119=5 sarees357/119=3 dresses |
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| 25. |
write the answers by identifying weather each fraction below equivalent or not (a) 3 upon 4 and 6upon 8 |
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Answer» 3/4 = 0.75 6/8 = 3/4 = 0.75 so both are equivalent |
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| 26. |
uplication : 10 I have made a rectangular parallelopiped by joining two cubes side by sidesiude by Mita, whose edge is 8 cm in length. Let us calculate the total surface area and the lengthdthe diagonal of the rectangular parallelopiped which is made in this way. [Let me do it myselr] |
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| 27. |
If -1 is one of the zeroes of the polynomial x cube - 4x square +x+6. find the other zeroes. |
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Answer» Given polynomialx^3 - 4x^2 + x + 6 = 0 As - 1 is one of the zero, then (x+1) should be one of factor of polynomial x^3 + x^2 - 5x^2 - 5x + 6x + 6 = 0x^2(x + 1) - 5x(x + 1) + 6(x + 1) = 0(x + 1)(x^2 - 5x + 6) = 0(x + 1)(x^2 - 3x - 2x + 6) = 0(x + 1)(x(x - 3) - 2(x - 3)) = 0(x + 1)(x - 2)(x - 3) = 0x = - 1, 2, 3 Therefore, other two zeroes are 2 and 3 |
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| 28. |
If64 water filled buckets of equal measure are taken out from a cubical water filled tank,then 3 rd of water remains in the tank. If the length of one edge of the tank is 1.2m, then letus calculate and write the quantity of water that can be hold in each bucket?15. |
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Answer» 2/3 of the tank is emptied in 64 buckets Volume of tank = (1.2)³ = 1728 cm³ Volume of 64 buckets = ⅔ × 1.728 Volume of 1 bucket = (⅔ × 1.728)/64 = 0.018 m³ = 0.018 × 1000 litres = 18 litres |
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| 29. |
x10. Let us draw the graph ofthe equation2 and calculate the area ofthe triangle+formed by the graph and the axes and write the area. |
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| 30. |
4 upon 9 + ? =-8 upon 15 |
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Answer» 9+(-17)=-8 this is answer |
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| 31. |
if x minus one upon X equal to 7 find x x cube minus one upon x cube |
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Answer» x-1/x = 7x^2 + 1/x^2 = 51x^3 - 1/x^3 = (x-1/x)(x^2+1/x^2+1)7*(51+1)=52*7=364 |
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| 32. |
minus 5 upon 7 or 2 upon 14 |
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Answer» 5/7 - 2/14Find LCM of 7 and 14 = (10 - 2)/14= 8/14= 4/7 |
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| 33. |
in a right angle triangle with side A and B and the hypotenuse c the altitude drawn from the hypotenuse is X prove that one upon a square + 1 upon B square equal to one upon x square |
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Answer» Consider ∆ABC in which angle ABC=90°,AB=a,BC=b and AC=c.Let AM=x be altidude of AC from B.Take angle BAC=θ,angleBCA=90-θ.sinθ=x/a and sin(90-θ)=x/b=cosθusing (sinθ)^2+(cosθ)^2=1 we getx^2/a^2=1-x^2/b^2=>x^2(1/a^2+1/b^2)=1=>x^2=(a^2b^2)/(a^2+b^2) = (a^2b^2)/c^2 =>x=(ab)/c. |
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| 34. |
Describe thethe out breaken lanke ?Liecumstances leading torevolutionary protest |
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| 35. |
)2 cm (D) of theseDimensions of a cuboid are 25 cm x 20 cm x 4 cm. The volume of acube is half the volume of the cuboid. The total surface area of sucha cube is(A) 400 cm2 (B) 600 cm2 (C) 800 cm2 (D) 1200 cm2 |
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Answer» Volume of cuboid = 25*20*4= 2000cm^2volume of cube is half of 2000that is 1000cm ^3as volume of cube = a^3= 1000a= 10cmnow surface area = 6(side)^2= 6(10^2)= 600cm^2 Please like the solution 👍 ✔️👍 |
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| 36. |
71. A bucket is in the form of a frustum of a cone and holds 28.490 litres of water. Theradii of the top and bottom are 28 cm and 21 cm respectively. Find the height of theNCERT EXEMPLAR]bucket |
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Answer» R = 28 cmr = 21 cmLet height of frustum be h cm ∴Volume held by bucket = 28.490 litres = 28490 cm³Also, Volume of frustum = π(R²+Rr+r²)h/3=> 28490 = 22*(784+588+441)*h/(3*7)=> 1813h =28490*21/22=> h = 27195/1813 = 15cm |
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| 37. |
Questions Type-I 2Marks23. Water is flowing at the rate of 15 km/hthrough a pipe of diameter 14 cm into acuboidal pond which is 50 m long and44 m wide. In what time will the level ofwater in pond rise by 21 cm?Shot on Realme U1By chandanNCERT Exemplar Probleml |
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Answer» In cylinder,r=7cm=0.7ml=15km=15000m In tank,l=50mb=44mh=0.21m Vol.of water in tank=lbh =50*44*0.21 =462m³ Height of cylindrical pipe=Vol. /πr² =462/(0.07)²(22/7) =462/0.0154 =30000m Time = 30000/15000 = 2 hours |
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| 38. |
15. 7(a) = दिया है। संयोजित फलन y = f\/(2)] में(NCERT Exemplar)असंतत के बिन्दु ज्ञात कीजिए। |
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Answer» plz like. and. mark |
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| 39. |
Find the solution of the pair of equationsー+y-1=0and x + Χ = 15 and find λ, if y=AX+5.10 5NCERT Exemplar |
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Answer» x+2y=103x+4y=3603x+4y-3x-6y=360-30=330-2y=330y=-165lx+5=-165so lx=-170now.x=10+330=340so l=-1/2 |
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12. Metallic discs of radius 0.75 cm and thickness 0.2 cm are melted to obtain 508.68 cm3 of metal. Find theNCERT Exemplar]number of discs melted. (Use3.14) |
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| 41. |
INCERT EXEMPLAA solid metallic sphere of radius 10.5 cm is melted and recast into a numbercones, each of radius 3.5 cm and height 3 cm. Find the number of cones so for[CBSE 2017, NCERT EXEMPLARalto 9 cm. It is melted and drawn into alone |
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Answer» Radius of Sphere = 10.5 cmRadius of cone = 3.5 cmHeight of cone = 3 cm The volume of the metallic sphere = (4/3)Πr³ = (4/3) × Π × (10.5)³ Volume of cone = (1/3)Π r² h = (1/3) × Π × (3.5)² × 3 No of cones = Volume of Metallic Sphere/Volume of cone = (4/3) × Π × (10.5)³/(1/3) × Π × (3.5)² × 3 = 4 × 10.5 × 10.5 × 10.5/3.5 × 3.5 × 3.5 = 126 Cones |
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| 42. |
4.The diagonal of a cubical box is v300 cm.Find the surface area.(a) 600/3 cm2 (b) 600 cm2(b) 1200 cm(d) 900/3 cm2 |
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| 43. |
3.Find the side of a cube whose surface area is600 cm2 |
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Answer» thanks |
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| 44. |
Find the side of a cube whose surface area is600 cm23. |
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| 45. |
Find the perimeter of a rectangle whose area is 600 cm2 and bre |
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| 46. |
100 such suncas3.) Find the side of a cube whose surface area is600 cm2. |
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Answer» thanku |
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| 47. |
12.10Each student in a class of 35 plays atleast onegame among chess, carrom and table tennis. 22play chess, 21 play carrom, 15 play table tennis,10 play chess and table tennis, 8 play carrom andtable tennis and 6 play all the three games. Find the number of students whoplay (i) chess and carrom but not table tennis (ii) only chess (iii) only carrom(Hint: Use Venn diagram) |
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Answer» Let Number of Students Playing Chess be : n(Ch) = 22 Let Number of Students Playing Carrom be : n(Ca) = 21 Let Number of Students Playing Table Tennis be : n(TT) = 15 Given Number of Students Playing both Chess and Table Tennis = 10 ⇒ n(Ch ∩ TT) = 10 Given Number of Students Playing both Carrom and Table Tennis = 8 ⇒ n(Ca ∩ TT) = 8 Given Number of Students Playing all the three Games = 6 ⇒ n(Ch ∩ Ca ∩ TT) = 6 Given that Each Student in the Class of 35 Plays atleast one Game among Chess, Carrom and Table Tennis ⇒ Total number of Students Playing atleast one Game = 35 ⇒ n(Ch ∪ Ca ∪ TT) = 35 We know that : n(Ch ∪ Ca ∪ TT) = n(Ch) + n(TT) + n(Ca) - n(Ch ∩ TT) - n(Ca ∩ TT) - n(Ch ∩ Ca) + n(Ch ∩ Ca ∩ TT) Substituting all the Respective values we get : ⇒ 35 = 22 + 15 + 21 - 10 - 8 - n(Ch ∩ Ca) + 6 ⇒ 35 = 46 - n(Ch ∩ Ca) ⇒ n(Ch ∩ Ca) = 11 ⇒ Number of Students Playing both Carrom and Chess = 11 From the Venn Diagram : We can Notice that Number of Students Playing both Carrom and Chess also includes the students who are playing all the Three Games. ⇒ Number of Students who are playing both Carrom and Chess but not Table Tennis can be found by Subtracting Number of students playing all the Three games from Number of students playing both Carrom and Chess. (i) Number of Students Playing both Carrom and Chess but not Table Tennis = n(Ch ∩ Ca) - n(Ch ∩ Ca ∩ TT) = 11 - 6 = 5 (ii) Number of Students playing only Chess will be :n(Ch) - { n(Ch ∩ Ca) - n(Ch ∩ Ca ∩ TT) + n(Ch ∩ Ca ∩ TT) + n(Ch ∩ TT) - n(Ch ∩ Ca ∩ TT) }⇒ 22 - {11 - 6 + 6 + 10 - 6}⇒ 22 - 15 = 7Number of Students only playing Chess will be : 7 (iii) Number of Students playing only Carrom will be :n(Ca) - { n(Ch ∩ Ca) - n(Ch ∩ Ca ∩ TT) + n(Ch ∩ Ca ∩ TT) + n(Ca ∩ TT) - n(Ch ∩ Ca ∩ TT) }⇒ 21 - {11 - 6 + 6 + 8 - 6}⇒ 21 - 13 = 8Number of Students only playing Carrom will be : 8 |
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| 48. |
111 e duaLLLLSthe value 019and 2 is 10 more than r, then find the value12. Each student inudent in a class of 35 plays atleast onea class5and table tennis. 22game among chess, carromplay chess, 21 play carrom, 15 play table tennis,10 play chess and table tennis, 8 play carrom andtable tennis and 6 play all the three games. Find the numberplay (i) chess and carrom but not table tennis (ii) only chess(Hint: Use Venn diagram)no to school by bus or by bicy |
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Answer» i )49 chess,carrom but not table tennisii)22 only chess |
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| 49. |
Example 1 : Let us take the example given in Section 3.1. Akhila goes to a fair withRs 20 and wants to have rides on the Giant Wheel and play Hoopla. Represent thissituation algebraically and graphically (geometrically). |
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Answer» let number of rides on giant wheel = x and number of played hoopla games = y so according to the question x=2y and 3x+4y=20 by putting x value in second equation from equation first we get ⇒3*(2y)+4y=20 ⇒6y+4y=20 ⇒10y=20 ⇒y=2 putting this value in first equation we get x=4 it means she played hoopla 2 times and giant wheel ride is 4 times. let number of rides on giant wheel is x |
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| 50. |
1 Let us take the example given in Section 3.1. Akhila goes to a fair withExampleKs 20 and wants to have rides on the Giant Wheel and play Hoopla. Represent thissituation algebraically and graphically (geometrically). |
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Answer» Could you post your complete question? This could be the answer. |
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