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.

each corner of a square of side 4 cm a quadrant of a circle of radius 1 cmand also a circle of diameter 2 cm is cut as shown in figuref the remaining portion of the square.. Find the

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2.

1) Find the area of equilateral triangle having each side 4 cm.

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3.

1. If the length of the side ofa cube is doubled, how much per cent will its total1 (2surface area increase?(1) 400 (2) 300 (3) 200 (4) 100the sun) of their radii are

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Let side=aTotal surface area=6a^2

Now, side=2aTotal surface area=6(2a)^2=24a^2

Percentage increase=(24a^2-6a^2)*100/6a^2=300%

Option 2 is correct

4.

Cartesian equation of a line PO isparallel to PQ2x-l4-y-2+1 . Write the direction ratios ofa line1.

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5.

he same side3. Two parallel lines I and m are cut byt be (2x - 8) and (3x - 7)º, find the mesland m are cut by a transversal t. If the interior angles of the samund (3x - 7)". find the measure of each of these angles.that s is not

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6.

3The figure given below shows lines cut by a transversal.Which of these are a pair of alternate : interior angles?

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In given fig.(1, 3), (4,6), (5,7) are pair of alternate interior angles

7.

- با بیوطی دلم بید ممحوليط 5min 17 sec in how manytime one person do work?

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5 persons = 1277 seconds1person = 1277÷5 =255.4 seconds

8.

Total No. of printing pages-6District level Intemai ECommittee, BongaigaonHalf Yearly Examination, 2018Class : IXSubject: General MathematicsFull Marks 90Time: 3 hoursWhich one of the following is not an irrational numberSymbol of whole number is-a) Wc) z(b) N(d) RIf P(x) x-3x1 +4x-2 then value of P(l)isa) 1 (b)-1 (c) 31(d)The value of 99 x 99-1 isa) 98 (b) 980 (c) 9800 (d) 99×98The distance of the point (3,-4) from the x-axis isa) 3 (b) 4 (c) -4 (d) 7Which one is the solution of 2x-yThe co-ordinate of the intersecting point of the graphs x -3-0and y 5 isP.T.

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it should b in this way

9.

1. If the length of the side of a cube is doubled, how much per cent will its totalsurface area increase?(1) 400 (2) 300 (3) 200 (4) 100

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Let side of cube is sSurface area of cube A= 6*s*s

If side of cube is doubled then s1 = 2sThen surface area of cube A1= 6(2s)*(2s) = 24*s*sChange in Surface Area %= ((A1-A) /A)*100= ((24*s*s - 6*s*s)/6*s*s)*100= (18/6)*100= 300%

l am children please explain like

what is meaning of s in this ans

what is meaning of the s

s is length of side of cube

10.

Find the percentage increase in the surface area of a sphere if its radius is doubled.

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11.

.Mansiobtained410 marks out of 500 in her half-yearly examination while Nehafriend got 534 marks out of 600 marks. Find whose performance is better.

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12.

Find the points on the x-axis, whose distances from the line-+-= 1 are 4 units.

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13.

है x+ f3 y=0VBx-Ey=0

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Like if you find it useful

14.

हा दि 3415)(3-+5)(f3+f2') | स-। 2

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((3 + i√5) ( 3 - i√5)---------------------------------(√3 + √2i) - (√3 -i√2)

3² - (i√5)²---------------- 2√2i

9 + 5----------- 2√2i 7----------- √2 i

7√2i-----------√2×√2i²

-7√2i--------- 2

15.

Qf3.)o

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20000×3% = 20000×3/100 = 600

16.

11.158. Find the equation of the circle which passes through two points on the x-axis whichare at distances 4 from the origin and whose radius is 5

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17.

5.Find the points on the x-axis, whose distances from the line x+2=1are 4 units.

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18.

on x-axis whose distances from the2andare in the ratio 2:1(3,-1)pres2. 3)2 1

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19.

intersection of the Hmes6. Two lines cut the axis of x at distances of 4 andand -4 and the axis of4 and the axis of y at dista6 respectively. Find the co-ordinates of their point of intersection.

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20.

.Find the equations of the circles passing through two points on Y-axis at distances3 from the origin and having radius 5

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21.

Ifeach edge of a cube is doubled,(0 how many times will its surface area increase?how many times wil its volume increase?4.

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Let edge a of cube be doubled to 2 a.

1. Area = 6 a^2 = 6 * (2a)^2 = 6* 4 a^2 = 24 a^2. Surface area increases 4 times.

2. Volume =a3= (2 a)^2 = 8 a^3. Volume increases 8 times.

Surface are of cube of edge 'a'is given by : "6a"andIts, Volume is 'a^3'

so if the edge of the cube is doubled then the new edge will be 2aso its surface area will be = 6*2a = 12a = 2 times 6aand volume will be=(2a)^3 = 8a^3 = 8 times a^3

therefore, its surface area increases 2 times and its volume will increases 8 times

22.

7 Ifside of a cube is doubled then(i)(ii)How many times its surface area will increase?How many times its volume will increase?

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23.

If each edge of a cube is doubled,0 how many times will its surface area increase?i) how many times will its volume increase?

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Right

24.

7.If each edge of a cube is doubled.(i) how many times will its surface area increase?(ii) how many times will its volume increase?

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25.

1. If each edge of a cube is doubled0) how many times will its surface area increase?i) how many times will its volume increase?

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26.

22. If the length of each edge of a cube is doubled, how many times does its volume become? Howmany times does its surface area become?

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27.

।2"]( डी १ )15: 1 आह31o| \| | \(&N ’;‘—\’

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We know sinθ.sin(60 - θ).sin(60 + θ) = ¼sin3θ

So, sin12.sin48.sin54.sin72/sin72 = ¼sin36.sin54/sin72

= ¼sin36.cos36/sin72

= ⅛sin72/sin72

= ⅛

28.

Define soil pollution. (ASI)Chemical fertilizers are useful to crops. In which way they cause envinpollution? (ASI)

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The use of chemical fertilizers on crops can have adverse effects on waterways caused by chemical run off of the excess fertilizer. The over-abundance of nutrients in the water reduces the amount of oxygen. The existing organisms living in the water use up the oxygen that is left. The result is oxygen depletion causing the fish to die.

29.

शाऋ-2ऋन 2. 1o x+5=3--% -3 2

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30.

T e= 2 R o R"n_ebg B 1o argl o i

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hi pryianka

31.

using lesone's lomula ind the ave cO the fsiangl hose veztices are(1o) (3) and (s.2) 2

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32.

Q.9 Convert 0.935 in the form of ?

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33.

Mark the correet alternative in each of the followrngI. If the simple interest on a certain sum for 2 years at the rate of 5 % per annum is? 4000, thenthe sum is(d 48.000

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Given simple interest of Rs. 4000/- at 5% p.a. and period is 2 years.

In that case annual simple interest at Rs. 2000/- i.e. 4000/2= Rs. 2000

Now 2000 /5% =40,000/-

Hence the sum is Rs. 40,000/-

34.

9.(i) A man sold an article for 540 and incurred a loss of 10%. Find the cost price of thearticle.

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cp of an article are =100 by 100-loss% into sp 100÷90 ×540 =600

35.

Q1. Simplify the following

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4(2p - 3q - 9) + 2 ( 3p - 5q)

8p - 12q - 36 + 6p - 10q

8p + 6p - 12q - 10q - 36

14p - 22q - 36

36.

9Convert 150% 1o decemal fraction

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1% = 1/100 150% = 150/100 = (50×3)/(50×2) = 3/2

If you find this answer helpful then like it.

tell me how 144 ang 25 come out

37.

(i) 251 1o

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38.

2Rajan and Manu went to a market. Rajanbought 3 crasers and 5 pens for Rs. 105 andManu bought 4 crasers and 6 pens for Rs. 130.What is the price of one eraser?130万牙47(a)(c)Rs.25/25FT々Rs.10/10(b)(d)Rs.20/20FTURs.21/21万FR

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39.

13. Show that the square of any positive integer is either of the form 3m or 3m+1 forsome integer m14. What should be added in the polynomial x3 -2x2 3x 4So that it is compldivisible by x2-x.5. Two years ago, Salim was thrice as old as his daughter and six years later he wolder than twice her age .How old are they now?

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40.

(a) Manu has a 5 years recurring deposit account and deposits Rs. 240 per month. If he13]receives Rs. 17,694 at the time of maturity, find the rate of interest.

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Here if r % be the rate of interestMaturity value=(240*60)+(240+60*61*r/2*12*100)17694=14400+366r366r=3294r=9%

41.

Mr.Jacob has a two years recurring deposit account in State Bank of Indiaand deposits Rs.1500 per month. If he receives Rs.37875 at the time ofmaturity, find the rate of interest

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principal (P)= Rs. 1500time= 2 years (n)=2x12= 24months let rate be= r%

Amount received at maturity = Total money deposited + Simple Interest 37875 = (Pxn) + [{Pxn(n+1)} / (2x12)]xr/10037875 = (1500x24) + [{1500x24x25} / 24]x r/100 37875 = 36000+(900000 / 24)xr/10037875-36000 = 37500xr/100 (1875x100)/37500 = r 5 = r r=5%;

42.

get =of a Saof a SanEach boy will get =7. Dinesh, Sumit, Ram. Joyand Rohan decide to play bastwit, Ram, Joy, Marshal, Imran, Jayant, Babu, Kabirdecide to play basketball. The first five boys are in theteam and the rest are in the the second team.What fraction of the boys is in the first team?Total number of boys = 10

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the answer is total number of boys =10/5

Here,total number of boys = 10,number of boys in the first team = 5,fraction of boys in the first team = 5 / 10, = 1 / 2.

43.

Define rank of matrix

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Therankof a matrix is defined as (a) the maximum number oflinearly independentcolumnvectors in the matrix or (b) the maximum number of linearly independentrowvectors in the matrix.

44.

14)A moving boat is observed from the top of a 150 m high cliff moving away from thediff. The angle of depression of the boat changes from 60째 to 45째 in 2 minutes. Find[CBSE 2017]psPs the speed of the boat in m/h.

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Find the distance of boat from cliff when angle of elevation is 60° by taking tan60 = height of cliff /distance between boat and cliff it is found that it is 50√3

now in the same way taking angle of elevation as 45°find distance of boat when it is 45 °from the cliff. on finding distance = 150 m now find the distances between two position of boats which is 150 - 50√3

= 50(3 -1.732) = 63.4the boat travels 63.4 m in 2 min or 120 sec:. speed of boat = distance / time itis wanted m/hr:. answer should be multiplied by 3600=63.4×3600/120 =1902 m/hr

45.

A1235(B) 141(C) 144(D) 158

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option c144is correct answer

46.

Express the following angles in degree measure:

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To find in degree multiply by 180/π1)(5π/3)*180/π=5*60=300°2)(-5π/24)*180/π=-5*7.5=-37.5°

47.

Fig. 9.157. Find the measure of b in each ofollowing figures.

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a)angle be in first case will be 43 degreeas they are opposite angles

b)Angle B in second case will be degreeas B+98+209=360°so Bwill be 53 degree

43degree 8s equale to angle b due to vertical opposit angle

48.

(1) 3 sides6.Find the angle measure x in the following figures.七120°

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50+130+120+x=360300+x=360x=360-300=60

thanks

60 degree bro............ its simply360-(50+120+130)=x

50x+130x+120x=180. 300+x=180. x=180/300

50+120+130+x=360. 180+x=360. x=360-180=180. thanks i think it help you please add coment

50+130+120+x=180300+x=180x=180_300=60

49.

Express the following angles in radian measurei) 30 i) 135° i)05v) 150

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50.

150. Fractions having same denominators are calledfractions.

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these are called as like fractions

these are called as like fractions

like fraction is correct answer

like fraction is the correct answer of the given question

these are called as like fractions

like fraction is right anawer.

are called like fraction