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. |
เคน (iv) 4+ BuL e |
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Answer» 4u²+8u Take 4u as common 4u(u+2) its rong answer |
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| 2. |
Prove that the perpendicular bisectors of the sides of a cyclicquadrilateral are concurrent. |
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| 3. |
la) What are the advantages of linked listsover arrays? |
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Answer» The principalbenefitof alinked list overa conventionalarrayis that thelistelements can be easily inserted or removed without reallocation or reorganization of the entire structure because the data items need not be stored contiguously in memory or on disk, while restructuring anarrayat run-time is a much more ... The principalbenefitof alinked list overa conventionalarrayis that thelistelements can be easily inserted or removed without reallocation or reorganization of the entire structure because the data items need not be stored contiguously in memory or on disk, while restructuring anarrayat run-time is a much more |
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| 4. |
RockxÂŽ Bu owdio | - L innimpelaxy1 % n \emn |
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Answer» 1/4 : 1/6 1/4 × 6/1 3/2 3 : 2 |
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| 5. |
ग़म मनाते =SWho या Rodet BU(o |
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Answer» Bacon was an English Franciscan friar, philosopher, scientist and scholar of the 13th century. Roger Bacon's date and place of birth are unknown, but he is thought to have come from a relatively wealthy family. He studied and later taught at Oxford University and also taught the University of Paris. Bacon has a wide range of interests. He investigated optics and the refraction of light through lenses, leading to the development of spectacles. He sought reform of the calendar and was interested in astronomy. In 1266, at the request of Pope Clement IV, he collected many of his observations in his 'Opus Maius', an encyclopaedia of all science. Bacon had a reputation as an unconventional scholar, pursuing learning in alchemy and magic - interests which earned him the soubriquet 'Doctor Mirabilis'. This led to his rejection from the Franciscans and eventual imprisonment. He died in Oxford not long after his |
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| 6. |
Write the formula of integration bu parts |
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| 7. |
Eatimeto he wnbel 25,46 buthe nenreut |
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Answer» 2546 rounded to nearest hundred is 2500. |
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| 8. |
In the given figure, P, Q, R are the mid-pointsof AB, BC and AC respectively. IfAB 10 cm,BC 8 cm and AC 12 cm, find the perimeterof APQR.In the following figure, M, N and P aremid-points of AB, AC and BC respectively. If |
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| 9. |
16. In figure, M, N and P are the mid-points of AB, AC and BC respectivelyIfMN 3cm, NP-3.5 cm and MP 2.5em, calculate BC, AB and ACBP |
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| 10. |
equations are consistent, or inconsistent. |
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| 11. |
(e)23*-*= 64निम्नलिखित में हैं ? का भान(a)2 -%*(८४yx7246 |
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Answer» option C is the correct a) is the correct answer |
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| 12. |
AR RN A सा उस्टाड जल O उनाववि दो गोलों के आयत्तन का अनुपात 64: 125 है। इनके पृष्ठीय क्षेत्रफलों का अनुपात बताइए |e~ A i e AR ey |
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Answer» volume of sphere=4/3πr^3 ratio=r^3/R^3=64/125 r/R=4/5 surface area=4πr^2 r^2/R^2=16/25 |
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| 13. |
18. In the adjoining figure, ABCD is a parallelogram.and Q are points on AD and BC respectivelysuch that APAD and CQ-BC, prothat PAQCP is a parallelogramIf P |
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| 14. |
&In the adjoining figure, ABCD is aparallelogram. II P and Q are points on ADand BC respectively such that AP AD Pand CQ-BC, prove that AQCP is a A |
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| 15. |
( a ) 10 , ( b ) 16 , ( c ) 18 , ( d ) 36 , ( e ) 64 |
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Answer» x + x(xx) Put the value of x = 2 in the above expression we get, 2 + 2(22) = 2 + 2(2 × 2) = 2 + 2(4) = 2 + 8 = 10 2+2(2^2) 2+2(4) 2+2*4 2+8 = 10 (Answer) |
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A M18. In the adjoining figure, ABCD is a parallelogram. DIf P and Q are points on AD and BC respectivelysuch that AP= AD and CQ BC, prove thatAQCP is a parallelogram.P |
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| 17. |
In parallelogram ABCD, P and Q are the mid-points ofDC and BC respectively. Prove that CR = 1/4 AC |
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Answer» Here let BD cut AC at O.now, OC = 1/2AC (diagonals of a parallelogram bisect each other) ----- (1)and CD = 1/4 AC ----- (2)From (1) and (2) we getCD = 1/2 OCinΔDCO, and Q are midpoints of DC and OC respectively∴PQ║DO ( midpoint theorem)Also in ΔCOB Q is the midpoint of OC and PQ║AB∴R is the midpoint of BC (converse of midpoint theorem) |
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| 18. |
The concurrent list in the IndianConstitution is adopted from theConstitution of |
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Answer» The Concurrent List orList-III(Seventh Schedule) is a list of 52 items (though thelastitem is numbered 47) given in theSeventh Scheduleto the Constitution of India. It includes the power to be considered by both the central and state government. |
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| 19. |
In the figure if I ll mt and1 = (2x + y)",24 = (x + 2y) and <6 = (3y + 20)". Find <7 and48.Hint: Solve using simultaneous linear equations)4ャm |
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| 20. |
1) What do you mean by a system of simultaneous linear equations? Give one example. |
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Answer» a set of two or moreequations, each containing two or more variables whose values can simultaneouslysatisfy both or all the equationsin the set, the number of variables being equal to or less than the number of equationin the set. Example: y = 2x + 1 is alinear equations: The graph of y = 2x+1 is a straight line. When x increases, y increases twice as fast, so we need 2x. When x is 0, y is already 1. |
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| 21. |
Is a dependent pair of linear equations always consistent. Why or why not? |
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Answer» We can graphically represent apair of linear equationsas two lines. And lines may intersect, or may be parallel, or may coincide. ... Such apairis called adependent pair of linear equationsin two variables. Note that adependent pair of linear equationsisalways consistent. |
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| 22. |
29. Evaluate:A. 16C. 64E. of theseB. 32D. 8 |
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| 23. |
3. An aeroplane leaves an airport and flies due north at a speed of 1000kn/hr. At thesame time another aeroplane leaves the same airport and flies due west at a speedof 1200km/hr. How far apart will be the two planes after 1 hour? |
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Answer» Speed of first aeroplane s1 = 1000 km/hrDistance covered by first aeroplane in 1.5 hrsd1 = 1000*1.5 = 1500 km Speed of second aeroplane s2 = 1200 km/hrDistance covered by second aeroplane in 1.5 hrsd2 = 1200*1.5 = 1800 km As first aeroplane travels in North direction and second in West direction, so they will form right triangle Let distance between both aeroplanes be x Then,Using pythagoras theoram x^2 = 1200^2 + 1800^2 x^2 = 1440000 + 3240000x^2 = 4680000x = 60*sqrt(13)
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| 24. |
Two dependent simultaneous linear equations will haveb) two |
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| 25. |
PART IMATScontains 15 Single choice questions. Each question has fourONE is correct.heme:warded 3 marks for correct answer, -1 for wrong answert digit in the expression (36234) (33512) (39180) (54 (2512 (31512)(B) 0ler wheel of diar |
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Answer» unit digit will be6*1*1 - 4*5*1 (4*5*1 = 20, ignore 2 because i have to only focus on unit digit)so, 6 - 0 = 6 why you do 6×1×1 tell me |
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| 26. |
36. At what rate of compound inter-est per annum will a sum of Rs.1200 become Rs. 1348.32 in 2years? |
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Answer» Given, A = 1348.32, P = 1200, n = 2, R =? For compound interestA = P(1 + R/100)^n1348.32 = 1200(1 + R/100)^2(1 + R/100)^2 = 1348.32/1200(1 + R/100)^2 = 112.36/1001 + R/100 = 10.6/10R/100 = 6/100R = 6% |
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9. In the figure, find the four angles A, B, C, D in the parallelogram ABCD(5a)(4a)(Ga) |
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Answer» Thank you |
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| 28. |
ga1. Find the 20th and nth terms of the G.P2'4'8' |
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| 29. |
Ul at the beginning of a cricket gaFind the solution of the pair of equations:=2,x,y 01, |
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| 30. |
Exercise 6.1Find the value of n, whereas(0)-P5:12n +15654 P3-30800(iv) Ga :56:12IV |
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| 31. |
.If you had a natural pebble like the ones shown onpage 13. what would you use it for? |
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Answer» If I had a pebble, then these would be used to cut meat and bones, to scrape bay from the trees and to chop fruits or ... :Today, for cutting fruit,we would usemodemtoolslike knives, whichare madeof iron or steel. Answer: Hunter-gatherersusedfire for purposes like: A source of light. |
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Activity 8 Different MethodsA) If 510 is written as a natural number, what would be the digit in the ones place?B) Simplify 4C) If 3 243, what is 31?D)x-1Which among the following is half of 2101) 25, 2) 2 3)29 4) 2? |
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| 33. |
Is Euler's formula applicable on all polyhedrons? |
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Answer» Euler’s Formula does however only work for Polyhedra that follow certain rules. The rule is that the shape must not have any holes, and that it must not intersect itself. (Imagine taking two opposite faces on a shape and gluing them together at a particular point. This is not allowed.) It also cannot be made up of two pieces stuck together, such as two cubes stuck together by one vertex. If none of these rules are broken, then F+V-E=2 for all Polyhedra. Euler’s formula works for most of the common polyhedra which we have heard of. There are in fact shapes which produce a different answer to the sum F+V-E. The answer to the sum F+V-E is called the Euler Characteristic χ, and is often written F+V-E=χ . Some shapes can even have an Euler Characteristic which is negative! |
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| 34. |
Find the area of the shaded region in Fig. 2, where arcs drawn with centres A, B, C and D intersect in pairs at micpoints P Q, R and S of the sides AB, BC, CD and DA respectively of a square ABCD of side 12 cm. [Use T 3.14)Sa(Fig. 2) |
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| 35. |
eTHINK, DISCUSS AND WRITEwych form of graph would be appropriate to display the following dataProduction of food grains of a state. PiechostYear2001 2002 2003 2004 2005Production 60 50 70 55 80in lakh tons2006Central85 |
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Answer» the is the geometry quetiob Pie Chart will be the appropriate graph to display the following data 2 मीटर म्हंणजे किती? |
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| 36. |
. Find the perimeter of shaded region, where ADC, AEB and BFC are semi-circles on diametersAC, AB and BC respectively. |
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| 37. |
19. Find the perimeter of shaded region, where ADC, AEB and BFC aresemi-circles on diAC, AB and BC respectively27 |
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| 38. |
The expression cot θ (tan θ + sin θ) wherever defined, simplifies to |
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| 39. |
Find the values of x, y and z in the diagram. Give reasons wherever necessary |
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| 40. |
MATHS21.The expression cot θ (tan θ + sin θ) wherever defined, simplifies to |
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| 41. |
| Fig. 45, AB = AC, D is the pointthe interior of AABC such thatDBC DCB. Prove that ADsects "BAC of AABC |
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| 42. |
Prove that a line segment has only one mic point. |
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Answer» Suppose C and C' are two mid points ofsegmentAB. Then AC = AB. and AC' = AB. AC = AC' [Things which are equal to the same thing are equal tooneanother.] This is possibleonlywhen C and C' coincide. Hence everyline segment has oneandonly one midpoint. |
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| 43. |
In an isosceles triangle ABC, with AB -AC, the bisectors of Z B and LC intereach other at O. Join A to O. Show that :(ii) AO bisects Z A.(i)OB =OC |
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| 44. |
Draw a circle with centre O and radius 4 cm. Draw any diameter AB ofof bhh of he two end pointsthe diameter AB. |
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| 45. |
SHORT ANSWER TYPE QUESTIONSIfz - x + iy and P represents z in the Argand plane, find the locus of P when1)12 2-31 |
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Answer» given equation is|z-2-3i|=5 where z=x+iy So |x-2+i(y-3)|=5 (x-2)^2+(y-3)^2=25 x^2+y^2-4x-6y-12=0 is the locus let z=x+iy|(x+iy)-2-3i|=5|x+iy-2-3i|=5| (x-2) + i(y-3) |=5√[ (x+2)^2 + (y-3)^2 ] = 5squaring both the sides(x+2)^2 + (y-3)^2 = 5^2the equation is in the form of--(x+a)^2 + (y+b)^2 =(r)^2where r is the radius of circlewith centre(-a,-b) Hence locus of the equation |z -2 -3i| = 5 is circle with radius r=5 and centre (-a,-b)=(-2,+3) |
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ofthefollowing:Mark () against the correct answer in eachz. (3)044(d) none of thes(a) 0(c) 13 |
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Answer» answer =1 because when the power of any number =0 so their answers =1 |
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| 47. |
Avendorbuys lemons at 25 per dozen and sells them at the rate of 5 for 12. Find his gainor loss per cent. |
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| 48. |
B. A vendor buys lemons ait 25 per dozen and sells them at the rate of 5 for12. Find his gainor loss per cent. |
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| 49. |
A vendor buys lemons at 25 per dozen and sells at 5 for 12. His gain per cent is(a) 14.5%(b) 15%(c) 15.2%(d) 16% |
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Answer» Cost price ( CP) of 1 dozen lemons = Rs 25---( 1 ) Selling price of 5 lemons at the rate of Rs12 Selling price of 12 lemons ( 1 dozen) = ( 12 × 12 ) / 5 = Rs 28.80 ----( 2 ) Now , we know that SP > CP He gets profit or gain. Profit ( g ) = SP - CP =Rs 28.80 - Rs 25 = Rs 3.80 Profit percentage = ( gain × 100 )/CP = ( 3.80 × 100 )/ 25 = 15.2% The vendor gets 15.2% profit. The answer is Option C. |
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vendor buys lemons at ? 25 per dozen and sells them at the rate of 5 for ? 12. Find his gainor loss per cent.8. A |
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