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. |
Derivatives--guel--. Differentiat.ä¸ä¸with respect |
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Answer» It will be2(x+4).d/dx(x+4)= 2(x+4).1 |
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| 2. |
A shopkeeper gains Rs.1 on each pen and loses 40 paisa on eachpencils losing Rs.5 in all. How many pencils does he sell? |
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Answer» No. of pen sells=45therefore profit = 45×1=45rs. loss on x pencil = x ×.40=0.40x rs. a/q. = 0.40x-45rs=50.40x = 50rsx=50/0.40=125 hit like if you find it useful |
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| 3. |
The equation of the ellipse whose centre is at origin and which passes through(A) 5x+3y 32the points (-3. 1) and (2-2) is(D)3x2 +5y2 + 32-0(B) 3x2+5y 32(C)5x2-3y-32 |
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Answer» Please post a clear image with proper lighting. We cannot provide a solution without a clear image of question. no I can't this is much clear |
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| 4. |
median of the numbers 30, 19, 28, 32, 32, 21, 22,32 (vi) If the radi of a solid hemisphere and a solid sphere are equal, then theratio of their surface areas is (a) 1:2 (b) 2:3 (c) 3:4 (d) 1:41x5-5 |
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| 5. |
न -2(_) %32 +3°3 |
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Answer» (1/3)^-2 * 3^2 ÷ 3^-3 = (3)^2 * 3^[2 - (-3)] = 3^[2 + 2 + 3] = 3^7 |
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| 6. |
How many solid coins of diameter 6 cm and thickness 0.2 cm can be made bymelting a solid metal cuboid of length 33 cm. breath 18 cm and height 8cm? |
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Answer» Cuboid length = 33 cm, breadth = 18 cm, height = 8 cm Volume of cuboid Vc = length*breadth*heightVc = 33*18*8 = 4752 cm^3 Coin diameter = 6 cm, thickness = .2 cmVolume of coin Vcn = pi*r*r*hVcn = (22/7)*6/2*6/2*.2 = 198/35 Let number of coins can be made = n Then, n*Vcn = Vcn*198/35 = 4752n = 4752*35/198 = 24*35n = 840 Therefore 840 solid coins can be made |
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| 7. |
1.Find the volume of a box if its length, breadth and height are 20 cm, 10.5 cm and8 cm respectivelyhar hae volume 150 cc. Find its thickness if its length is |
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Answer» Volume is lbh=20*10.5*8=1680cm^3 |
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| 8. |
(c) By selling a table fan for1260, a shopkeeper gains 5%. Find the cost priceof the table fan. |
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Answer» thanks |
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| 9. |
d. (32)3 32 |
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Answer» (3^2)^3 ÷ (3)^2= (3)^6 ÷ (3)^2= (3)^[6-2]= (3)^4= 3*3*3*3= 81 ans |
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| 10. |
(3n-1)21+3+32 ++ 3n-1 =13 + 23 + 33 ++n3 =2 |
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| 11. |
Simplify (1/32)3. |
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Answer» (1/3^2)^3=(1/9)^3=(1/729) |
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| 12. |
How many boxes it can hold if each box luFind the length and surface area of a wooden plank of width 3m, thickness 75cvolume 33.75m3snd to end to form a cuboid. Find the |
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Answer» Vol. of wooden plank= l×b×h........ ... b= 3m.........., h= 75 cm=0.75m...... So, l×b×h= 33.75.............. l×3×0.75=33.75.......... l = 33.75/3×0.75......=45/3=15....... So length= 15m................ Now TSA of wooden plank = 2(lb+bh+hl)........= 2( 15×3+3×0.75+0.75×15).........=2( 45+2.25+11.25).........= 2( 58.5)...= 117m^2... please like the solution 👍 ✔️ |
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| 13. |
By selling a flower vase for600, a shopkeeper gains 15%. Find its cost price. |
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Answer» So 115 = (100+15) percentage = 600now we have to tell the100 percentage so if 115 percentage = 6001 percentage = 600/115now 100 percentage= 600/115*100521.73 |
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| 14. |
By selling a bouquet for 322, a florist gains 15%.At what price should he sell it to gain 25%? |
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| 15. |
3. The measures of three angles of a quadrilateralare 39°, 141° and 130. Find the fourth angle. |
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| 16. |
27. By selling a bouquet for 322, a florist gains 15%.At what price should he sell it to gain 25%? |
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| 17. |
21. Prove that:2cos3 A -cos Ach-What is the largest diametetotal surface area of the solid so formed, at the rate22. A cubical block of side 10 cm is surmounted by a hemislohemisphere can have ? Find the c5per100 sq. cm. Use π-314]ost of painting theORR I th perimeter of the following figure is 47 cm, find |
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| 18. |
x+1 -141r-32 33. If, then write the value of x |
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| 19. |
From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of thesame height and same diameter is hollowed out. Find the total surface area of theremaining solid to the nearest cm^28) |
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| 20. |
Prove the following by induction:ES |
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| 21. |
(c) By selling a book for Rs 258, a publisher gains 20%. For how much should he sell itto gain 30%."(27, s |
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| 22. |
A merchant has 120kg of rice. He sells apart of it at a profit of 10% and the rest ata profit of 25%. He gains 15% on the whole !quantity of rice he sold at 25% gain is(A) 30 kg(C) 50 kg(B) 40 kg(D) 55 kg |
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Answer» A merchant has 120 kg of rice. He sells a part of it at a profit of 10% and the rest at a profit of 25% so, x kg of rice sold at 10% profit(120 - x) kg of rice sold at 25% profit so, total profit is 15% profit 15% of 120 = 10% of x + 25% of (120 - x)15*120 = 10x + 25(120-x)1800 = 10x + 3000 - 25x1800-3000 = -15x-1200 = -15xx = 1200/15x = 80 x = 80 kg of rice at 10% profit120-x = 120-80 = 40 kg |
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| 23. |
that the diamellurface area of the remaining solid.medicine capsule is in the shape of acylinder with two hemispheres stuck to eachof its ends (see Fig. 13.10). The length ofthe entire capsule is 14 mm and the diameterof the capsule is 5 mm. Find its surface area.14 mmFig. 13.10 |
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| 24. |
that the dlallelcr lUsurface area of the remaining solid.A medicine capsule is in the shape of acylinder with two hemispheres stuck to eachof its ends (see Fig. 13.10). The length ofthe entire capsule is 14 mm and the diameterof the capsule is 5 mm. Find its surface area.14 mmFig. 13.10 |
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| 25. |
20. A chord of a circle of radius 21cm subtends an angle of 60 at the centre.Find the area of the corresponding minor segment of the circle(use r 22 and 3 1.73).7 |
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| 26. |
region in Fig. 3, where arcs drawn with centres A, B,cFind the area of the shadedand D intersect in pairs at mid-points P, Q, R and S of the sides AB, BC, CD and DArespectively of a square ABCD of side 12 cm. [Use -3.141Fig.-3 |
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| 27. |
List the similarities and differences between aerobic and anaerobic respiration. |
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Answer» Bothaerobic and anaerobic respirationinvolvechemical reactions which take place in the cell to produce energy, which is needed for active processes.Aerobic respirationtakes place in the mitochondria and requires oxygen and glucose, and produces carbon dioxide, water, and energy. The chemical equation isC6H12O6+ 6O2→ 6CO2+ 6H2O (glucose + oxygen -> carbon dioxide + water).Anaerobic respirationalso produces energy and uses glucose, but it produces less energy and does not require oxygen. This is useful in tissues which have a high energy demand such as in working muscles, in which there isnot enough oxygen to produce all the energy needed by using aerobic respiration alone. Anaerobic respirationtakes place in the cell cytoplasm and produces lactic acid. The chemical equation isC6H12O6 -> 2C3H6O3 (Glucose -> Lactic acid). The lactic acid then needs to be oxidised later to carbon dioxide and water afterwardsto prevent it building up. This process requires oxygen and therefore following anaerobic respiration there is oxygen debt in the cell, as oxygen is needed to break down the lactic acid produced. |
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| 28. |
From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of thesame height and same diameter is hollowed out. Find the total surface area of theremaining solid to the nearest cm. |
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| 29. |
find the probablity of one card draw in 52cards. draw card diamond or Ace. |
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Answer» total number of cards = 52Number if ace = There are 4 Ace Cards in a deck. Number of diamond = There are 13 cards Let event 'A' be drawing a ‘Diamond’, then probability of getting a ‘Diamond', P(A) = 13/52 Let event 'B' be drawing an 'Ace’, then probability of getting an ‘Ace’, P(B) = 4/52 Probability of getting Ace of Diamond, P(A and B)= 1/52 Probability of getting a ‘Diamond' or an ‘Ace’ if one card is drawn at random,P(A or B) = P(A) + P(B) — P (A and B) = 13/52 + 4/52 — 1/52 = 4/13 |
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| 30. |
ed by 20%cr, 25%)uch zinc is there11. Isugar does notcopper and rest is zinc.in 3 kg alloys ?6. An alloy of metal contains 45% nickelHow mtion of sugarsugar Rtr's ndid 20%6ce of a dress was500. In December 20067. The pri2007 it was reduced by 10%. What is the newprice of the shirt?ear :-,at, the price was increased by 10%. During Octobe)-r 110,000. She spent 12% ofon other things.her income on rent and 64%How much money did she save every month.8.Fatima's income was100+3 Ho Rawatin R::A) + )'9, Mr. Rawat's income is 20% more than Mrs. |
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Answer» 6.zinc = 100-45-25 % = 30% = 3kg x 30/100 = 0.9 kg |
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| 31. |
AGE NODATENancy readLagesboe k Censisthsě´.om15agesnumberO4es |
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Answer» Nancy reads 45 pages out of 200.Kavya read 4/15 pages so its 4/15*200=53(approx)So Nanvy had read least pages |
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| 32. |
Dateage |
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| 33. |
57. If a wholesaler sells a box of chocolates at*1690 he gains 30%. Now if he decides tosell it at 2210, what is his profit percen-ta |
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Answer» the answer is 45% I think |
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| 34. |
age NoDate0 |
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Answer» pie<x<3pie/2 so third quadrantsin2x=-4/5so cos2x=-3/5so tan2x=4/3 |
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| 35. |
surface area of the remaSA medicine capsule is in the shape of acylinder with two hemispheres stuck to eachof its ends (see Fig. 13.10). The length ofthe entire capsule is 14 mm and the diameterof the capsule is 5 mm. Find its surface area5 mm14 mmFig. 13.10 |
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Answer» thank you ! |
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| 36. |
12 The inner and outer radii of a cylindrical pipe are 4 cm and 5 cm respectively. Find the area of cross-section of the pipe. Use r 3.14. |
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| 37. |
A) (n/2)g(B) 100g(C) (100/n)g(D) 100ngC-6s How many moles of potassium chlorate need to be heated to produce 11.2 litre oxygen at N(A) mol2(B) 1mol(D)뼟(C)mol34 |
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Answer» The production of oxygen from per chlorate is as follows: 2KClO3(s) -> 2KCl (s) + 3O2(g) so, here 2 moles of per chlorate is used to produce 3 moles of oxygen gas. So, 1 mole of oxygen gas will need = 2/3 moles of per chlorate. Now we know that 1 mole of oxygen gas at STP = 22.4 L So, 112 L oxygen gas = 112/22.4 =5 Moles of oxygen gas. So, 5 moles (112L) of oxygen gas will be produced by = 5 x 2/3 moles of per chlorate = 3.33 moles |
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| 38. |
6. A medicine capsule is in the shape of acylinder with two hemispheres stuck to eachof its ends (see Fig. 13.10). The length ofthe entire capsule is 14 mm and the diameterof the capsule is 5 mm. Find its surface area.14 mmFig. 13.10 |
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| 39. |
A medicine capsule is in the shape of acylinder with two hemispheres stuck to eachits ends (see Fig. 13.10). The length ofthe entire capsule is 14 mm and the diameterof the capsule is 5 mm. Find its surface area.of14 m14 mmFig. 13 |
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| 40. |
Mea or uhe remaining solid.6. A medicine capsule is in the shape of acylinder with two hemispheres stuck to eachof its ends (see Fig. 13.10). The length ofthe entire capsule is 14 mm and the diameterof the capsule is 5 mm. Find its surface area.14 mmFig. 13.10 |
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| 41. |
41. Draw a neat diagram of the Reflex Arc and label. |
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| 42. |
27)) One card is drawn at random from a well shuffled deck of 52 cards. Find theprobability that the card drawn is a (i) king (ii) spade (ii) a red queen (iv) a black8. Ans. (i) (ii) (iii) 2e (iv)13426 |
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| 43. |
8.alloy contains 40% copper, 32% nickel and rest zinc. Find the mass of zinc in one kg ofthe allogis. |
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Answer» thanks bhai |
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| 44. |
Shabnam has some chocolates. She gives l5% of it to Joseph. If she gives30 chocolates to Joseph, then how many chocolates did she havepreviously? (2017)(1) 60 (2) 150 (3) 200 (4) 905, |
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Answer» suppose Shabnam has x chocolatesshe gives 15% to Joseph which is 30so 0.15x=30 so x=30/0.15=200so she have previously 200 chocolates. |
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| 45. |
. Water flows at the rate of 10 m per minute from a cylindrical pipe 5 mm in diameterHow long would it take to fill a conical vessej whose diameter at the surface is 40 eand depth 24 cm? |
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| 46. |
A medicine capsule is in the shape of acylinder with two hemispheres stuck to eachof its ends (see Fig. 13.10). The length ofthe entire capsule is 14 mm and the diameterof the capsule is 5 mm. Find its surface area.65 mm14 mmFig. 13.10 |
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Answer» ok thanks for telling |
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| 47. |
6. A medicine capsule is in the shape of acylinder with two hemispheres stuck to eachof its ends (see Fig. 13.10). The length ofthe entire capsule is 14 mm and the diameterof the capsule is 5 mm. Find its surface area.5 mm14 mmFig. 13.10 |
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| 48. |
4.5 g of an alloy of copper and zinc contains 3.5 g of copper. What weight of copper willthere be in 18.9 g of the alloy? |
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Answer» 4.5 g of alloy contains 3.5 gmso 1 gm of an alloy will contain 3.5/4.5 gm of copper=7/9gm of copperso 18.9 gm of alloy will contain (7/9)*18.9 gm of copper=14.7gm of copper. |
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| 49. |
4. 4.5 g of an alloy of copper and zinccontains 3.5 g of copper. How much copperwill there be in 18.9 g of alloy? |
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| 50. |
Joseph kept 26 cards in a cap, bearing one English alphabet on each card. Onecard is drawn at random. What is the probability that the card drawn is a consonantcard?ii) |
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Answer» Total cards=26Number of vowels=5Number of consonants=26-5=21Probability=21/26 From which book have you taken this question? Please tell us so that we can provide you faster answer. |
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