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.

(b) 3, 3 () 3,4equations r - 5 and y 3, graphically represents lines which are2' 2(a) parallel(c) coincident(b) intersecting at (3, 5)(d) intersecting at (5,3

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2.

J3cy10representslines.a pair olow that the equation 2x2-xy-19yow further that the angle between them is tan()F y + 1--O represents a pair of perpendiculary"-6x + 19y-20-0 represents a pair of intersectin

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3.

Linear equations 2x- 3y+9-04x- 6y +18-0 represents lines:(a) Intersecting(c) Paralleland(b) Coincident(d) of these

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4.

2 VARIABLESISolve graphically the following pairs of linear equationsAlso, find the coordinates of the points where these lines intersect the 2 axes(u) 2x 3y 12Shade the region (area) between the 2 lines and x axis.

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Please post single question as we are not allowed to answer multiple questions in a single query

5.

If x varies inversely as y, then fill in

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the answer is 90 😔

6.

Willbeitsvalueafter3years?Sup29. A car is purchased for348000, Its value depreciates at 10% per annum during the firsyear and at 20% per annum during the second year. What will be its value after 2 years?The value of a machine depreciates at the rate of 10% per annum. It was purchased 3ago. If its present value is R 291600, for how much was it purchased?rat30.yearsSo

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7.

If a varies inversely as b 2 and if a 8 whb 1.5, find a when b 5

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8.

x and y varies inversely, when x=70, y=4, find x, when y=7

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x varies inversely with y, which means x₁y₁=x₂y₂

x₂= 70*4/7=40

Hence, when y is 7 then x will be 40.

9.

,and y varies inversely, when x 70, y 4. Find x, when y 7HY/MATHS/VIII/Page 1 of 3

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10.

15. If a varies inversely as b + 2 and if a8 whenb 1.5, find a when b- 5

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11.

46. A quantity x varies inversely as thesquareofy.Given that x- 4, when y 3, the value of x

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12.

5. x varies inversely as y. When x- 1.2.y-0.08. Ifx-0.024, what ts the valueof g?

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13.

The value of a machine depreciates at the rate of 20% per annum. It was purchased 2 yearsago. If its present valuc is ? 40000, for how much was it purchased?(a) 5600010.(b) 62500(c)65200(d) 56500

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14.

The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 yearsago. If its present valuc is 291600, for how much was it purchased?

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15.

30. The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 yearsago. If its present value is 291600, for how much was it purchased?

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16.

The orthocentreof the triangle formed by (a,b)(a,c)(d,b) is?

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17.

triangleof a figure formed by a square of side 8 cm and an isosceles triangle with base as oneAneoFind the area of a figure formedside of the square and perimeter as 18LinnARIIS

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18.

Do the points (3, 2),(-2, -3) and (2, 3) form a triangle ? If so, name the type of triangle formed.

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19.

का Q. puy s

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d(2x⁴ + x)--------------- dx

d(2x⁴) dx--------- + --------- dx dx

8x³ + 1

20.

Find area of the triangle formedby the co-ordinate xes and the line

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2x + 3y = 6

x/3 + y/2 = 1

Therefore, x- intercept = 3 & y - intercept = 2

Area of triangle, AOB = 1/2 * base * height = 1/2 * 3 * 2 = 3 units

what are the three coordinates of the three vertices

21.

in which Quadrants is the triangle formed by the points (0, 3), (-3,0) and (3,0)?

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the triangle formed will be in quadrant 1 and 2

22.

name the type of triangle formed by the point A(4,6),B(2,3),C(6,9)

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AB =√(4-2)^2+(6-3)^2 =√4+9 =√13BC =√16+36=4√13AC=√16+9 =5triangle is scalene

23.

ही Aol puy U Zogsp ० 1 (80) गे AT ष

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Given :

sin(A + B) = 1

cos B = 1/2

B = 60°

As we know sin 90° = 1

So, A + B = 90°

A = 90° - 60° = 30°

24.

Jo8 puy uay ¢ कुX = (x)8pue L (0T+%

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f(x) = (x+1)/(x+2), g(x) = x^2

gof = g(f(x)) = (x + 1)^2 /(x + 2)^2 = (x^2 + 2x + 1)/(x^2 + 4x + 4)

25.

LY U TRNON puy ‘y =d0flb ‘6=OW“HN69STON6°S06 = dNW7 LT तल.‘oL “47) (a)WbRl Y EN)

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By geometric mean!!!

thanx

26.

un Uly and z!(b) xThe diagram shows three squares drawn on the sides of a triangle. What is the sun(c) 2x(d) 3xangles?What is the sum of the three marked(a) 180°(b) 2700(c) 360°(d) 450°

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360 degree is the right answer

c option is correct answer of this question

sum of all exterior angles in a polygon is 360 degree

C)360 is right for 3 diagram

c 360°is the correct answer of this question

360° is a correct answer

360 degree is right answer

360 ° is the right answer

360 degree is your answer

ans is 360°as option c

27.

Find the area of the triangle formed by the point (2,3), 1, and (2,-4).

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A(2,3) B(-1,0) C(2,-4)

X1=2 X2=-1 X3=2

Y1=3 Y2=0 Y3= -4

1/2 {x1(y2-y3) + x2(y3-y1) + x3(y1-y2)}

1/2 {2(0-(-4)) + (-1) (-4-3) + 2(3-0)}

1/2 {8-(-7)+6}

1/2 {8+7+6}

1/2 * 21

21/2

28.

OOOOOOOOOOJudy has of a pound of cheese. How many e-pound servings does shehave?SHOW YOUR WORK!A servingDivide the pourB. 4 servingsinto to pound ser- How many servinc. servingD. 4 servingsooOOOOOOget?

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ans (b) .................................

29.

The oxygen gas is kept in cyclinders and cubes .The dimension of a cube is 72cm.The dimensions of a cylinder is h=72cm.and r=6cm.which shape will have lesser surface area

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30.

5. In the adjacent triangle ABC, find x+1Sthe value of x and calculate themeasure of all the angles of thetrianglex-15x+30

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Sum of angles in triangle is 180°So,x + 15 + x - 15 + x + 30 = 180°

3x + 30 = 180°

3x = 180° - 30° = 150°

x = 150°/3 = 50°

Angles arex + 15 = 50 + 15 = 65°

x - 15 = 50 - 15 = 35°

x + 30° = 80°

31.

B dag-taad 17 ¢न e Coudd « Yoll._, R tad ¥ dimum8 ol ard NoOYgottiy waillL e a 7 ween

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Total number of Outcome (Cards) = 52

First eliminate half the deck, so as to get rid of the red cards. This leaves,

1/2× 52 = 26 Cards

However, two queens were already gotten rid of when all the red cards were removed, leaving only two black queens.Thus, we take two black queens away from our remaining cards,

26 - 2 = 24

∴ Number of Favourable Outcomes = 24

P(getting neither a Red nor a Queen) = 24/52 = 6/13

32.

. 4Odv4 e 04S puy uot), = 3 UOAV~OHVY ULy

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33.

Δ ACD, show thatPM ofΔ ABD isABthatSidtripr6, in Fig 637, if Δ ABE. In Fig 6.38, altitudes AD and CE of A ABCintersect each other at the point P. Showthat(i) ΔΑΕΡ-dCDPCit) ΔΑ1D-3CBE(iii) ΔΑΕΡ-3ADBFig. 637

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Solution:Since Δ ABE ≅ Δ ACD

Hence, BE = CD

And ∠DBE = ∠ECD

In Δ DBE and Δ ECD

BE = CD (proved earlier)

∠DBE = ∠ECD (proved earlier)

DE = DE (common)

Hence, Δ DBE ≅ Δ ECD

This means; DB = EC

This also means;

AD/DB=AE/EC

Hence; DE || BC

Thus, Δ ADE ∼ Δ ABC proved.

34.

127, (30) « (22) x (15) में अभाज्य गुणनखण्ड की संख्या ज्ञात करें?(Find the number of prime factors of (30) x (22)" (15)24)

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115 is the right answer.

35.

tn the adjacent triangle ABC, findx+155.te value of x and calculate themeasure of all the angles of thetriangle.x-15x+30

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its triangle so x+15+x-15+x+30=180so 3x=150so x=50so angles are 65,35,80

36.

13 The numerator of a fraction is 4 less than the denominator If the numerator idecreased by 2 and the denominator is increased by 1 then the denominator is eightimes the numerator Find the fraction14. Solve the following system of linear equations.

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37.

मान ज्ञात करो-15. sin 60° x tan 30°x cos 458AT

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38.

what is filter

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Filter is a device which separates solids from fluids (liquids or gases) by adding a medium through which only the fluid can pass.

39.

What is the percent of change from12 to 19?

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Formula:Percent change = [(New - Old ) / |Old|] x 100%

Here new=19%, old= 12%

Now precentage change = (19-12)/12 ×100 =58.33%

40.

What is the percent of change from75 to 14?

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Formula:Percent change = [(New - Old ) / |Old|] x 100%Here, old =74% ,new=14%

Now(14-75)/75× 100= -81.3%

41.

Draw the graph of the polynomial (x +2)(x +3) and find zeroes. Justify the answer. (RV)

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42.

14. In the following Fig., show thatBF = DE.Fig. 27

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43.

rv

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44.

££0) LHED) न£ट 8) LT (V)095 £lo o dT —>जड or2 Liis ¥ | § 122 28 Bh DOdpossEso e

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40 + 4x + 3x = 180°

Kyoki POQ ek sedi rekha hai

7x = 140°

x = 20°

A) sahi option hai

45.

4. Last year Madhu's salary was 6800, whichwas increased by 4%, while Radha's salary was5900 which was increased by 6%. Who hasmore salary now and by how much?

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radha,s salary increase more 354

madhu new salary=7072radha new salary=6254so madhu salary is more then radha.

46.

.) The numerator of a fraction is 5 less that the denominator. When both numerator and denominator ateincreased by 1, the fraction is increased by 18 . Find the original fraction.4

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according to data fraction us x-5/xnow (x-4)/(x+1)=x-5/x+1/18(x^2-4x-x^2+4x+5)/(x^2+x)=1/1890=x^2+xx^2+x-90=0(x+10)(x-9)=0so x=9so fraction=4/9

47.

Find three numbers in the ratsquares is 608.6.io 2:3:5, the sum of whose

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Let the three numbersa, b, c, be 2x, 3x, 5x. we know that (2x) ^2+ (3x) ^2 + (5x)^2= 6084x^2 + 9x^2 + 25x^2 = 60838x^2 = 608x^2= 608/38x^2=16x= √16x= 4a= 2x = 2*4=8 b=3x= 3*4=12c = 5x= 5*4=20therefore, the three numbers are 8,12,20

48.

If the length of a rectangle is increased by30% and its width decreased by 30%, howmuch percent will its area change.

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ans:4%suppose the length of the rectangle is :100the breadth of the rectangle is :100actual length is 30% increased=100+30=130actual breadth is 20% decreased=100-20=80area of rectangle is =(130*80)/100=4%

length & breath =100; 130 of length:; breadth-20/100-20=80, ; Area of rectangle = (130×80)/100=4•/°

49.

-The slope of the line 'l' parallel to X-axis is ...........A) tan 90°B) tan 0°XC) tan 45°D) tan 30°nno

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tan 0 = 0 because the angle b/w x axis and l is 0

no

50.

What is the percent of change from56 to 22?

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Percentage Change

= 56-22/5634/56*100= 60.71 percentage