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. |
meter of a rectangular frame is 28 cm. If the length and the breadth of the framepern5, find the area of the frame.he ratio 2:5are i |
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| 2. |
4425of his journey by train, 3 rd by taxi, " th by bus and remaining1travelled th of his journey by trainn foot. Find the length of his total journey.4 A manA man6 |
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Answer» thanks |
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| 3. |
.12 The length of the intercept on y- axis cut off by the parabola, y2 - 5y 3x-6 is(A) I(B) 2(C) 3(D) 5 |
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| 4. |
3c Prove that the mid points ob the hy poterue o a ight tnienyle isequdistant brom 9ts vertices |
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| 5. |
A man on the deck d a Ship is 12 mtrs akove ta uniis ond the argle deprewim on the bate is 30: Gloulsbethu distance d thi clip brom the Ship ardhe haightshe dup Ceuc 17333 |
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| 6. |
2)Weitev Brom 6 to 20 doileSquaresnumbered to be daily Numbersand cubes ofSquare cube10-483 g - 2714 - 16 - bu |
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| 7. |
4.Classroom activity Contracting the squarespiral')! Take a large sheet of paper and const Pthe square root spiral in the following f owith a point and draw a line ment OP of unitlength Drawing sement PP perpendiculareOP of unit length (see Fig. 19. Now draadsegment P.P. perpendiculario OP ThendralineFsegment PP perpendicular to OP Continuingthis manner, you can get the line segment P P.bydrawing a line segment of unit length perpendicular to OPhave created the points PP P and joined themCIn the |
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Answer» convex lens the first local point |
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| 8. |
Ankush prepare a poster in the form of parallelogram, as in figure.() If ZA (5x+ 7)° andZB (3x-3)o, find all the(t) Which mathematical concept is used in shis(i) By writing a slogan on poster which value isangles of parallelogram ABCDSaveElectricityquestion ?depicted by Ankush? |
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| 9. |
given figure, OP andd OQ are opposite rays and OR stands onopa In the gip5%(2y-160)- |
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Answer» hit like if you find it useful |
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| 10. |
SAve o+ _) ।(2+2)" )%\-—‘L/w’ दर S |
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Answer» hit like if you find it useful |
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| 11. |
6.44RT 瞽645120° |
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Answer» Thanks |
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| 12. |
save- 2- |
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| 13. |
2Reena bauses 4770 fn 3 months .Sha. Save 7 × |
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Answer» reena saves ₹4770 in 3 monthsthen 12720 in x monthsx=12720×3/4770x=8 months |
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| 14. |
13·The denominator of a rational number is 7 more than the numerator lr l is added 10 the numerator and l is subtracted iromdenominator the new number isFind the rational numberd 19 is added to the |
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| 15. |
Mother is 25 year older than her son. Find son's age if after 8 years ratio of son'sage to mother's age will be4sotor bv 12 Ifthe numerator |
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Answer» Let present age of son be X years. Age of mother = ( X + 25 ) years. After 8 years age of son= ( X + 8 ) years. After 8 years age of mother = ( X + 25 + 8 ) = ( X + 33 ) years.According to the question, X+ 8 / X + 33 = 4/9 9 ( X + 8 ) = 4 ( X + 33 ) 9X + 72 = 4X + 132 9X - 4X = 132 - 725X = 60 X = 60/5 X = 12 years. Present age of son = X = 12 Years. And, Present age of mother = X + 25 = 12 + 25 = 37 years. |
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| 16. |
6. Ifb and care lengths of the segments of any focal chord of the parabola y2 - 4ax, then writethe length of its latus-rectum. |
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| 17. |
The sum of the numerator and denominator of a certain fraction is 10. If 1 is subtractedboth the numerator and denominator, the fraction is decreased by 2/21 .Find the fraction. |
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Answer» suppose initial fraction is x/(10-x) now new fraction (x-1)/(9-x) so (x-1)/(9-x)=x/(10-x) -2/21 (10x-x*x-10+x-9x+x*x)/(9-x)(10-x)=-2/21 21(2x-10)=-2(x*x-19x+90) 42x-210=-2x*x+38x-180 2x*x+4x-30=0 x*x+2x-15=0 (x+5)(x-3)=0 so x=-5 or x=3 so fraction is either -5/15=-1/3 or 3/7 |
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| 18. |
7) If 'w is complex cube root of unity, show that (3 +w5w)2+6w 2w) 0 |
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| 19. |
1. (a) Ifo is a complex cube root of unity, then find the valueof 1 +62 +07 |
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| 20. |
I1+ω1+ω,06. If o is a complex cube root of unity then1)-22) 43) 04) 2 |
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| 21. |
\begin{array}{l}{\text { If } \alpha \text { and } \beta \text { are the complex cube roots of } y} \\ {\text { show that }} \\ {\alpha^{2}+\beta^{2}+\alpha \beta=0 .}\end{array} |
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Answer» α and β are cube roots of unity let α=ω ,β=ω² α²+β²+αβ=ω²+ω⁴+ω³= ω²+ω+1=0 ( because sum of cube roots of unity is zero) |
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| 22. |
In the given figure AX II BY'.and BAX=80, then find thevalue of x80° X>O |
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Answer» since AX||BY so, x + 80 = 180.... (adjacent angles so, x = 180-80 = 100° |
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| 23. |
the aligies 015. In the adjoining figure, ABCD is a square. A linesegment CX cuts AB at X and the diagonal BD at0 such that LCOD-80° and <OXA = x。. Find thevalue of x.800 |
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| 24. |
120-x-80 |
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Answer» thank you |
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| 25. |
Derivative(y, x) - 2*y/x=(3*x)*(80*(e*(l*v))) |
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Answer» dy/dx - 2y = 3x y/x - 2y = 3x (y - 2y) /x = 3x -y/x = 3x -y = 3x*x -y = 3x² |
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| 26. |
dJONIT(b) 642 km(c) 645 km12. If 8 men can finish a piece of work in 40 days, then 10 men can finish:( 50 days(h 32 days |
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Answer» 8 men can finish work = 40 day1man can finish work =40/8 = 510 men can finish work = 5×10 = 50 day 8 man can finish work= 40 days1man can finish work =40/8 = 5 days10 man can finish work= 10×5 = 50 day s 50 days is the correct answer of the given question 50 days is correct answer. =50 day is the right answer 8 men can finish work=40 day1 man can finish work =40\8 =. 5 day ..10 men can finish work =5 *10 = 50 day |
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| 27. |
. First term and common difference of an A.P. are1 and 3 respectively. If nth term is 43 then findthe value of n. |
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| 28. |
first term, common difference and last term of an am A.Prespectively, Find the sum of all terms of this AP.12d2 |
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| 29. |
These tigures are similar. Findthe missing length and reduce. |
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Answer» 4/x= 10/6by cross multiplicationwe can find the value of xwhich is equal to 24/10 thank you |
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| 30. |
6. First and last term ofareanrespectively. If common difference is 9 then howmany terms are in A.P. and what is their sum? |
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| 31. |
2. Find the missing lengthPerimeter = 32 cm86 |
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| 32. |
2.4Find the first term and common difference of the AP(i).5,2,-1, -4, . . . .(ii)1/2 , 5/6 , 7/6 , 3/2, ..... , 17/6on |
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| 33. |
22. Given A7 and 1-0 1 and A-1: 9A + mI. Find m.12016) |
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| 34. |
6. Find the common difference of an A.P. in which a 25 - 412 = -52.71.1 |
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| 35. |
. In an AP, if common difference d6, then findthe value of as-a |
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Answer» d=6 a5=a+4d a11=a+10d a5-a11=(a+4d)-(a+10d) =-6d =-6×6=36 |
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| 36. |
find the region of the perpendicular from the originto the line 4x +3y-2=0. |
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| 37. |
The line 4x + 3y-12-0 intersect the x, y-axes at A and B respectively. Find the area ofAOB |
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| 38. |
The given figure is a(A)Convex(B) Concavepolygon. |
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Answer» Ans :- convex polygon Aconvex polygonisdefinedas apolygonwith all its interior angles less than 180°. This means that all the vertices of thepolygonwill point outwards, away from the interior of the shape Thanks a lot |
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| 39. |
7. Each side of a regular polygon is 2.5 cm in length. The perimeter of the polygon is 12.5 cm. Howmany sides does the polygon have? |
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| 40. |
2. Find the slope of he tangent to the followcurvey4x at point (1.2) |
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| 41. |
1)-A side of a regular polygon is 3.5 cm in length. The perimeter of the polygon is 17.5 cm.How many sides does the polygon have? |
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| 42. |
1200 soldiers in a fort had enough focul for 90 daystransferred to another fort and thus the fond lasted for4 days some stateoldiers32 days. How many soJeft the fort? |
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Answer» 4 is the correct answer of the given question |
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| 43. |
7. Find the coordinates of a point A, where AB is the diameter of a circle whose centre is(2,-3) and B is (1, 4). |
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| 44. |
4. In the given figure, OABC is a squareof side 7 cm. If OAPC is a quadrantof a circle with centre O, then findthe area of the shaded region.[Use t = 22/7]. |
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Answer» Area of the shaded region is 10.5 square cm |
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| 45. |
Centre of the circle x2+ y-4x7y -9-0 is10 2. 7(2)-22-7(4) 2,2 |
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Answer» option 2 is right answer |
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| 46. |
the missing length and reduce.108 |
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Answer» 10/x= 8/11x= 110/8 or 55/4 |
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| 47. |
. If (7, I). (r, 9) and (-1, y) are three concyclic points whose centre is (3, 4), find the possiblevalues of x and y.D-5 |
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| 48. |
) The first term of an A.P. is 6 and the common difference 3 respectively.FindS27 |
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Answer» S = [2a + (n - 1)d] = (2*6 + (27-1)*3) = 12 + 78 = 90 it's not right |
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| 49. |
Thesom of the interioide of the transversal,From the igure find the measuire of LACD(t) State, with reason, whelber |
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| 50. |
Find the area of Î PQR whose vertices areP (2, 1), Q (3, 4), and R (5, 2). |
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