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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. |
10. In a stack there are 5 books each of thickness 20 mm and 5 paper sheets each of thickness0.016mm.Whatis the total thickness of the stack? |
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Answer» The thickness of book = 20mm so for 5 books it will be = 20*5 = 100mm and the thickness of paper = 0.016mm , ao the total thickness of 5 paper is = 0.016*5 = 0.080mm therefore, Total thickness of stack = 100+0.08 = 100.08mm |
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| 2. |
In a stack there are 5 books each of thickness 20mm and 5 paper sheets each otthickness 0.016 mm. What is the total thickness of the stack.4. |
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| 3. |
11.10LEVEL-11. In a ΔABC , if LA = 55, zB = 40°, find atriangle are in the ratio 1:2:3, determ( 1 |
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| 4. |
.. me thickness of a sheet of paper is 15x10cm and thickness of plant cell is 6x10cm. Compare the twoBu |
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Answer» Paper sheet=1.5/10000=0.00015Plant cell=6/1000=0.0060.006/0.00015=40So,plant cell is 40 times thick than paper sheet |
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| 5. |
The outermost layer of earth is called:(A) inner core(C) mantle(D) outer cores.(B) crust |
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Answer» The outermost layer of earth is calledas Crust . Explanation : The crust isthe outermost layer of earth. It is made up of lighter rocks than that of mantle. |
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| 6. |
18. If Atul is 20% taller than Ajay, by whatpercentage is Ajay shorter than Atul?Amir goes to a gym and loses 1 0% of his weight.His mother thinks he looks too skinny now. Byhow much percentage must Amir gain weightto return to his previous weight?¡19. |
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| 7. |
(a)How can youtest?(b)Carry out the conversion HCHO-- CH,COCHsodium formate is heated at 400 C2G(GÄ° |
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| 8. |
On selling a jug forthe gain%?144, a man loses 1 of his outlay If It is sold for R 189, what is7 |
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| 9. |
uallnatudiameter the hemisplerewooden block suchtermine the5. A hemispherical depression is cut out from one face of a cubical wooden blockthat the diameter I of the hemisphere is equal to the edge of the cube. Desurface area of the remaining solid. |
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| 10. |
A hemispherical depression is cut out from one face of a cubical woodenthat the diameter I of the hemisphere is equal to the edge of the cube. Determsurface area of the remaining solid.bloc |
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| 11. |
a hemisphere is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the length of the cube. determine the surface area of the remaining solid |
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| 12. |
A hemispherical depression is cut out from one face of a cubical wooden blocksthat the diameter of the hemisphere is equal to the edge of the cube. Determinesurface area of the remaining solidsuch |
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| 13. |
5. A hemispherical depression is cut out from one face of a cubical wooden block sathat the diameter 1 of the hemisphere is equal to the edge of the cube. Determinesurface area of the remaining solid. |
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| 14. |
. A hemispherical depression is cut out from one face of a cubical wooden block suchthat the diameter / of the hemisphere is cqual to the edge of the cube. Determine thesurface area of the remaining solid. |
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| 15. |
A population of a village increasedfrom 40 000 to 56 000. What wasthe percentage increase?A. 28%C. 30%B. 40%D. 50% |
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Answer» 40000 + 40000*x/100 = 56000 4000000 + 40000x = 5600000 40000x = 1600000 x = 1600000/40000 x = 160/4 x = 40% Like my answer if you find it useful! |
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| 16. |
peed of the light in a diamond isThe s1,24,000 km/sec. Find the refractive indexof diamond if the speed of light in air is3,00,000 km/sec.1 24 000 km/sec |
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| 17. |
34A truck has a mass of 15 t 500 kowhen empty. When loaded wie70 kg bags of animal feeds, themass becomes 28 t 100 kg. Howmany bags of animal feeds are inthe truck?A. 180 B. 18C. 1 800 D. 18 000 |
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| 18. |
9. Let u = {4, 8, 12, 16, 20, 24, 28) A = 18, 16, 24)and B = {4, 16, 20, 28) find (AUB)' and (ANB)' |
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Answer» bhai answer de do important hai |
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| 19. |
(्ि हि Coso -$vo+] - (oswco+t CotoCoso + sunp—1 |
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Answer» cosA-sinA+1/cosA+sinA-1=(cosA-sinA+1)(cosA+sinA+1)/(cosA+sinA-1)(cosA+sinA+1)=(cos²A-cosAsinA+cosA+cosAsinA-sin²A+sinA+cosA-sinA+1)/{(cosA+sinA)²-(1)²}=(cos²A-sin²A+2cosA+1)/(cos²A+2cosAsinA+sin²A-1)={cos²A+2cosA+(1-sin²A)}/(1+2cosAsinA-1) [∵, sin²A+cos²A=1]=(cos²A+2cosA+cos²A)/2cosAsinA=(2cos²A+2cosA)/2cosAsinA=2cosA(cosA+1)/2cosAsinA=(cosA+1)/sinA=cosA/sinA+1/sinA=cotA+cosecA=cosecA+cotA (Proved) |
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| 20. |
For the matrix A =, verify that6) (A + A') is a symmetric matrix(Ăą) (A - A') is a skew symmetric matrixJl |
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| 21. |
U Wet Sulrace.Find the area and perimeter of the shape illustratedin figure given below. The corners are all rightangles.2 cm2 cm5 cm |
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| 22. |
For the matrix A, verify that6 7(i) (A+ A') is a symmetric matrix(ii) (A - A') is a skew symmetric matrix |
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Answer» (i) (ii) |
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| 23. |
3. Show that the matrix Bor skew symmetric matrix.T AB is symmetric or skew symmetric according as A is symmetric |
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Answer» Hence it depends on A as A is symmetric or skew symmetric |
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| 24. |
8. Show that the matrix BT AB is symmetric or skew symmetric according as A is symmetricor skew symmetric matrix. |
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Answer» Hence it depends on A as A is symmetric or skew |
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| 25. |
TIf A-5127=A-A' is13 41a) null matrix D) identity matrixc) a diagonal matrix d) a symmetric matrix |
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Answer» b identity matrix because that is what I think it is |
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| 26. |
21.Express the following matrix as the sum of a symmetric and skew symmetric matrix, andverily your resulc. 3 25 |
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| 27. |
For the matrix Averify that67) (A + A') is a symmetric matrix(i) (A-A') is a skew symmetric matr |
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Answer» 6+87vfsc!? (-_££3+(rdeasyu |
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| 28. |
A triangle is translated by using the rule (x,y)=(x-4.+1). Which describes how the figure is moved?four units left and one unit downfour units left and one unit upone unit right and four units downone unit right and four units up |
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Answer» Figure is moved four units left and one unit up |
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| 29. |
Q8. A firm manufactures two types of products A and B and sells them at a profitof Rs 5 per unit of type A and Rs 3 per unit of type B. Each product is processedon two machines M and Me. One unit of type a requires one minute of processingtime on M and two minutes of processing time on Ma; whereas one unit of type Brequires one minute of processing time on M, and one minute on My. Both themachines are available for atmost 5 hours and 6 hours in a day. Find how many unitsof each type of product should the firm purchase a day in order to maximize theprofit. Solve graphically |
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| 30. |
29. A person has 30 units and 17 units of labour and capital respectively, which he can use to produce two types ofgoods X and Y. To produce one unit of X, 2 units of labour and 3 units of capital are required. Similarly 3 unitsof labour and 1 unit of capital are required to produce one unit of Y. IfX and Yare priced at 100 and 120 perunit respectivcly, how should the producer use his resources to maximise the total revenue? Solve the problemgraphically |
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| 31. |
Mohan travels from Mumbai to Pune and returns to Mumbai in 6 h. If he had stopped2 h in Pune and travelled at a uniform speed of 60 km/h, what is the distance betweenMumbai and Pune? |
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| 32. |
DUCTION TO TRIGONOMETRYEXERCISE 8.1In Î ABC, right-angled at B, AB-24 cm, BC(i) sin A, cos A(ii) sin C, cos C |
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| 33. |
e(,0£€ —)uts (,00€ —)S09 — ,06£509 ,0gF ur |
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Answer» Sin 420 = sin (360+60) = sin 60 =√3/2 cos 390 = cos (360+30) = cos 30 =√3/2 cos (-300) = cos 300 = cos(360 - 60) = cos 60 = 1/2 sin (-330) = sin (360 + (-330) ) = sin 30 = 1/2 Therefore, Sin 420.Cos 390 - Cos(-300).Sin(-330)=√3/2 *√3/2 - 1/2 * 1/2 = 3/4 - 1/4= (2/4) = 1/2 |
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| 34. |
4 A gardener wants to fence a circular garden of diameter 21m. Find the lengul Ufrope he needs to purchase, if he makes 2 rounds of fence. Also find the cost of therope, if it costs? 4 per meter. (Take )7....-2ー, įe ro moved Find the area |
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| 35. |
(d) 2.05%interest on a certain sum of money for 2 years at 4%(a) Rs. 2500 bRs. 2400 (c) Rs. 2600e) Note ur thies40. The difference between the simple and compoundper annum is Rs. 4. Find the sum?(d) Rs. 2000 (e) of these |
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| 36. |
13. In each of the figures given below, ABCD is a rectangle. Find the valuesof x and y in each case.110035° |
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| 37. |
A cylindrical pillar is 50 cmthe curved surface of thein diameter and 3.5 m in height. Find the cost of paintingliu of the base of thee pillar at the rate ofäš12.50 per matur |
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| 38. |
12. Determine the vertex which contains a rightangle in AABC where A (4,-2), B (7, 9) and |
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| 39. |
From a solid cube of edge 14 cm, a sphere of largest volume is eis(A) 359 cmur. Approximate volume of sphere(B) 1437 em3(D) of these(C) 2874 cm |
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| 40. |
o.) Sonu is 19 years younger than his cousin. After S years, their ages will be in the ratio 2.3. Findtheir present ages |
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Answer» thanks for the answer |
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| 41. |
Raju's father's age is 5 years more than three times Raju's age. Raju's father is 44 years old |
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| 42. |
Sandeep's father's age is 5 years morethan three times Sandeep's age. FindSandeep's age, if his father is 44 yearsold. |
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Answer» Like if you find it useful |
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| 43. |
£ T8 SRR ——#—j‘" vf’jfl $00+ 11 509गाल हा हुए था|500+ (1,803T g i "९०४ ४४ |
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Answer» sin^2 63 + sin^2 27/cos^2 17 + cos^2 73 [ Using sin x = cos (90 - x) cos x = sin (90 - x) sin^2 x + cos^2 x = 1 ] = sin^2 63 + cos^2 (90 - 27)/ sin^2 (90 - 17) + cos^2 73 = sin^2 63 + cos^2 63/ sin^2 73 + cos^2 73 = 1/1 = 1 |
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| 44. |
ole-e,3. If a bus that leaves Nashik at 5 o'clock in the morning reaches Pune that same day atten thirty in the morning, how long does the journey take ? |
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Answer» 17 hours nasik to pune |
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| 45. |
A bakery baked 132 cakes in the morning anthe afternoon. In the evening. it solcakes were left?s in the morning and 120 cakes inthe evening, it sold 250 cakes. How many |
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Answer» 2 cakes were left and like my answer 2 cakes are left...because total cake 132+120=152 sold 150so 2 cake left Total cakes are made=132+120=252 Cakes are sold=250 Cakes are left=252-250 =2 cake is left Total cake baked=132+120=252Sold =250Left cake =252-250=2Left cake 2 Total cakes made=252Sold=250Cakes left=252-250=2 2 cakes is the best answer 2 cakes is the correct answer pls give like 2 cakes were left.... 132+120=252252 cakes were prepared totally250 are sold 252-250=22 cakes are left |
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| 46. |
Find angle xin each figure:40째 |
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Answer» Given triangle is isosceles triangle as two sides are of equal length By the property of isosceles triangle angle opposite to equal sides are also equal Therefore,x = 40° |
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| 47. |
Find the value of xin 3:15:: 4:x. |
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Answer» x=20right ans like this x=20 is right answer. x=20 is the best answer x =20 is the right answer |
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| 48. |
Coefficient of xin (x + 8 (6-3x) is? |
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Answer» If you find this solution helpful, Please give it a 👍 |
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| 49. |
Find the value of xin each of the following figures iflim1100I |
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Answer» In 1)x= 110in 2)x= 100 110°100° is the correct answer of the given question fig. 1 x = 110° fig. 2 x = 100° In fig (1).x= 110°.In fig (2).x= 80°. please like my answer ☺☺😊😊 |
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| 50. |
rozy is 5 years younger than her brother.after 4 years their ages will be ratio 2:3 find their present ages? |
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