Explore topic-wise InterviewSolutions in Current Affairs.

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.

it at Bluch did he get?6. A vendor buys 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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2.

men buys an old bicycle for 3,800. If he sells the bicycle for 4.400. determine the profit or loss percent.By selling a refrigerator for 35 750

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3.

25. Out of 8 different bicycle companies, a student likes to choose bicycle from three companies. Find out in howmany ways he can choose the companies to buy bicycle2S.

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4.

Raju sold a bicycle to Amit at 8% profit. Amit repaired it spending? 54Then he sold the bicycle to Nikhil for 1134 with no loss and no profit. Find thecost price of the bicycle for which Raju purchased it.

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5.

'B/ Raju sold a bicycle to Amit at 8% profit. Amit repaired it spending S4.Then he sold the bicycle to Nikhil for 1134 with no loss and no profit. Find thecost price of the bicycle for which Raju purchased it.

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Cost price of bicycle for Raju = cpSelling price of bicycle for Raju= cp(1+8/100) = cp(27/25)

Cost price of bicycle for Amit= cp(27/25) + 54

Then,cp(27/25) + 54 = 1134cp(27/25) = 1080cp = (1080/27)*25 = 40*25cp = 1000

Raju purchased bicycle for Rs 1000

6.

If 65% of students in a class have bicycle, whatcent of students do not have bicycle? [NCER

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Percentage of students with cycle = 65 %Let us take the total students as 100 % studentsSo, the percentage of students without cycle = Total students - Students with cycle

So, 100% - 65% = 35%Students without cycle= 35% of the class

Thanks

7.

73. (a) Given, xy = e2x-)On taking log both sides, we get

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8.

Q. 26. What are "Union Territories'?

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A union territory is a type of administrative division in the Republic of India. Unlike the states of India, which have their own governments, union territories are federal territories ruled directly by the union government, hence the name "union territory".

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9.

20. In figure, find the perimeter of shaded region where ADC, AEB and BFC are semi-circles ondiameters AC, AB and BC respectively.←一一2.8 cm→4cr

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10.

A is a subset of A union b

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A is the subset of A UBA= 1,2,3B= 4,5,6A€ {1,2,3,4,5,6}

11.

20. In figure, find the perimeter of shaded region where ADC, AEB and BFC are semi-circles ondiameters AC, AB and BC respectively.

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12.

two circles intersect at two points A and B . AD and AC are diameters to the two circles . prove that B lies on the line segment DC

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Given that two circles intersect at two points A and B. AD and AC are diameters to the two circles.Join AB.

∠ABD = 90° (Angle in a semicircle)∠ABC = 90° (Angle in a semicircle)

So, ∠ ABD + ∠ ABC = 90° + 90° = 180°

Therefore, DBC is a line. That is B lies on the line segment DC.

180 is correct and best answer 👍 👍👍 👍👍 👍

13.

Name the radii and diameters of the circles.

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radii are OA,OB,OC,OD,OQdiameters are AB,CD

14.

A (2, 5), B (-1, 2) and C (5, 8) are theco-ordinates of the vertices of the triangle ABC.Points P and Q lie on AB and AC respectively,such that: AP: PB AQ QC 1:2.(i) Calculate the co-ordinates of P and Q(ii) Show that : PQ āBC.

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15.

10. If circles are deawn taking two sides of a triangle as diameters, prove that the poinintersection of these circles lie on the third side

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16.

3) By what number should (4)" be multiplied so that the product is equal to (-5)?SC

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5/4 is the answer of this question

17.

If A=-12Mostis aSymmetrie253XMatrixthens bind sc?

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-1(35-6x)+2(14-18)+3(3x+15)=-35+7x+2(-4)+9x+45=35+7x-14+9x+45=80-14+26x=66+26x: 26x=-66; x=66/26=

18.

28, In Fig. 9.53, f BP I1 CO and AC - BC, then the measure of x is(a) 20°(b) 25(c) 30(d) 355070°Fig. 9.53

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answer is (c) 30°

19.

5.Sides of a triangle are in the ratio of 12: 17:25 and its perimeter is 540cm. Find itsarea.SC

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20.

3. Evaluate the following.4(a)+inn(b)

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𝑨𝑵𝑺𝑾𝑬𝑹 𝑰𝑺 64\125

answer of this question is 64/125

The answer is 64/125

(4/5)^3 = 4/5×4/5×4/5 = 64/125

(4×4×4)/(5×5×5)64/125

4×4×4= 645×5×5=125is the right answer

21.

4 Plot the points A (3.0). B 3.3) and C (0, 3) in aCartesian plane. Join OA. AB, BC and CO Namethe figure so formed and write its one property

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The figure is a square.It has all four sides equal.All four angles equal to 90 degrees.

22.

8. In the given figure, BO and CO are the bisectors of the angles ZB andC of a AABC. IfOP I BC and OM L AB, prove that(ii) OP=OM

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23.

the area of hetatthre m n9. A conical circus tent is 28 m high. The radius of its base is 21 m Findof canvas (in sq m) required to make the tent.a th

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Given:height= 28 mradius=21 mFormula:l^2=r^2+h^2csa=pi* r* lSolutionslant height=ll^2= 21^+28^2=441+784=1225l=35 mcsa= pi* r*l=3.14*21*352307.9 m sqTherefore canvas required = 2307.9 sq m

24.

iu ntdul the cylinder.. A dosed circular cylider has diameter 20 cm and height 30 cm. Find the total surface area of the cylindern 3.14)

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25.

सन 036 " §inn-loso b है

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26.

u A circus tent has a radius of 30 m. The ring at the centre forperformance by artists is 10 m in radius. Find the arealeft for the audience. Use n 3.14.

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27.

lim x-2I. Evaluate Inn-

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(x-2)/x²+x-6

=(x-2)/(x²+3x-2x-6)

=(x-2)/(x(x+3)-2(x+3))

=(x-2)/(x+3)(x-2)

=1/(x+3)

Lim. 1/x+3x->2

=1/2+3

=1/5

28.

determine the points that bisects the line segment whose end points are (4,7) and (12,15)

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29.

1 2nd , 4)agonal25. The end points of a diagonal of a square are (0, - 1) and (0, 5). Find the end points of the other di

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required coordinates of the end points of other diagonal are (3,2) and (-3,2)

30.

How many chords can be drawn using the fourpoints only as the end points of the chords ?a.

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To draw chords, one needs two points. So, with one fixed point, 3 chords can be drawn. No take another point, one can draw five chords as the other one is already counted.

This way count, 3+2+1=6 chords

31.

3. Prove that the quadrilateral formed by joining the mid-points of the adjacent sides ofa rectangle is a parallelogramSummarylat surfaces are known as planes.hapes obtained by moving a tip of a pencil on the sheet of paper from one point tther, without lifting the pencil are called plane curveshe curves which have different beginning and end points are called open curves.he curves which have same beginning and end points are called closed curves.e itcalf at any noint icalled a simplecurve

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32.

14.The end points of 1.R of the ellipse2x +3y 18 are...

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33.

Find the slope of AB with the given end points.1. A(4,-6) B(7, 2)

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34.

List out the important primary occupations of your district

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Primary occupation in my district are1. farming2. Crafting3. fishing

35.

2In a ΔΑΙ3C, the sides AB and AC are produced to points D and E respectively. The bisectors of LDBC and/JiCB intersect at point 0, Prove that LBOC = (90°-1LA)

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36.

Upon the sides AB, AC of a AABC are described equilateral triangles ABD aretheir vertices D and E outside the ∆ABC. Prove that BE =DC

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We have ABD and ACE are same equilateral triangle , So

AB = BD = DA = AC = CE = EAAnd from given information we get our figure , So,AB = ACThenTriangle ABC is a isosceles triangle , So from base angle theorem We get∠ABC =∠ACBAnd∠ABD =∠ ACE = 60° ( As these angles from equilateral triangles ABD and ACE )And ∠CBD =∠ABC +∠ABD ---------- ( 1 )And ∠BCE =∠ACB +∠ACESo,∠BCE =∠ABC +∠ABD ----------- ( 2 ) ( As we know∠ABC =∠ACB And∠ABD =∠ ACE )From equation 1 and 2 , we get∠CBD =∠ BCE ---------- ( 3 )Now in∆CBD and∆BCEBC=BC( Common side )∠CBD =∠ BCE ( From equation 3 )And BD=CE( Given )Hence∆CBD≅∆BCE ( By SAS rule )So,BE=DC ( By CPCT ) ( Hence proved )

37.

23. The sides AB and AC of AABC have been produced to D and Erespectively. The bisectors of ZCBD and ZBCE meet at O. LE ZA 40find 2BOC.

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38.

(i) 2r+x-4-

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39.

z AD is the median of AABC, O is anypoint on AD. BO and CO wherproduced meet AC and AB at E and Frespectively. AD is produced to X suchthat OD DX (See Fig. 4.39). Provethat AO : AX = AF : AB and henceprove that EF II BC.Fig 139

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40.

the side ab and ac of angle abc are produced to point a and D respectively if bisector bo and s co of

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Ray BO is the bisector of angle CBE Therefore,angle CBO=1/2of angle CBE=1/2(180-y)=90-y/2 (1)Similarly,ray OC is the bisector of angle BCD Therefore,angle BCO=1/2 of angle BCD=1/2(180-z)=90-z/2 (2)In triangle BOC,angle BOC+BCO+CBO=180 (3)Substituting (1,2,3) you getAngle BOC+90-z/2+90-y/2=180Angle BOC=z/2+y/2=1/2(y+z)But,x+y+z=180 (angle sum property)y+z=180-xAngle BOC=1/2(180-x)=90-x/2=90-1/2angle BAC

41.

3. In Fig. 6.19, sides AB and AC of Δ ABC areproduced to Eand D respectively. If angle bisectorsBO and CO。 CBE and BCD meet each other atpoint O, then prove that :2Fig. 6.19

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42.

Draw the graph of the line 3x +y =4.

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43.

3. In Fig. 6.19, sides AB and AC of ΔABC areproduced to Eand D respectively. If angle bisectorsBO and CO of ZCBE and ZBCD meet each other atpoint O, then prove that:< BOC = 90°--2Fig. 6.19

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44.

7. The sides AB and AC ofa &ABC are produced to the points D and E respectivelyLf bisectors B0 and CO of ZCBD and 2BCE respectively, meet at point O.Prove that BOC 90BAC0

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45.

3. In Fig. 6.19, sides AB and AC of ΔABC areproduced to E and D respectively. If angle bisectorsBO and CO of LCBE and L BCD meet each other atpoint O, then prove that:7.BOC = 90°--2

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46.

Example 8: In Fig. 6.38, the sides AB and AC of4ABC are produced to points E and D respectivelyIf bisectors BC) and CO of CBE and BCDrespectively meet at point O, then prove thatBOC90-4BAC

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47.

48. In figure, the sides AB and AC of Δ ABC are produced tints E and D respectively. If the bisectors BO and CO ofZCBE and ZBCD respectively meetat point O, then prove that<BOC-900-nLBAC2

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86869641457897678679

48.

Do this assignment on loose sheets:Find the value of x. ifFind the value of x

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49.

slopeofthetangentisequaltoFind the points on the curve y at which thethe y-coordinate of the point.For the curve y 4 2r, find all the points at which the tangent passesthrough the origin.

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50.

22. Divide 4500 into two parts such that 5% of the first part is equal to 10% of the second part.

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