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.

Calculate the total surface area of a cylinder of diameter 20cm and of height 25cm.

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2.

12. The radii of two cylinders are in the ratio 2: 3 and their heights are in the ratio 5:3.13 The ratio between the curved surface area and the total surface area of a rightCalculate the ratio of their volumes.circular cylinder is 1 :2. Find the volume of the cylinder, if its total surface area is616 cm2

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3.

Example 4.7: The volume of a cube is 729 cubic centimeters. Calculate itstotal surface area.

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1) let the edge of the cube = a cm

volume(v)= a^3

a^3 = 729

a^3 = (9cm)^3

a = 9cm

2)lateral surface area = 4 a^2= 4* 9^2= 4* 81=324cm^2

total surface area = 6a^2= 6* 9^2= 6*81=486 cm^2

4.

The square of first number is equal to the cube of second number. The numbers are(a) 9, 3(c) 6, 36) 8,4(d) 4, 2

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5.

Find the difference between two numbers, if first is 6 times of second and sum of them is 63

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6.

Find the difference between two numbers,if first is 6 times of second and sum of them is 63.

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let the second no. be x first no.=6x6x+x=637x=63x=63÷7x=9

let second no. is Xso first no. is 6X and total is 636x+x=637x=63x=9so first =6*9=54first no. 54, second no. 9

7.

((-2)/3)^4/((-2)/3)^3=((-3)/2)^n

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no if divide the exponent is subtracted

8.

pune placed at the centre of a 1-m radius sphere.4. The parallax of a heavenly body measured fromtwo points diametrically opposite on earth's equatoris 1.0 minute of are. Find the distance of the heavenlybody from the centre of the earth in AU. Given : radiusof earth 6400 km and 1 AU 1.496 x 10 mmontes botes from it

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9.

3. What is the shape4. Which is the coldest planet?cure distance between two heavenly bo

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Ans :- It depends upon how you define "coldest." WithPlutoout of the race, the farthest "real" planet fromthe SunisNeptune. Neptuneand its neighbor, Uranus, are known as the "ice giants," since they are composed of huge amounts of rock and water, ammonia, and methane ice crystals.

10.

The area of a square of each side 16 cm isthe same as that of a rectangle of length32 cm. Find the breadth of the rectangle. &

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Area of square = side*side = 16*16 = 256Area of Reactangle = Area of squareLength*Breadth = 25632*Breadth = 256Breadth = 256/32 = 8 cm

11.

The perimeter of a parallelogram is 56 cm. If one of its side is 16 cm, then find its adjacent side.

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56=2(16+b)56=32+2b56-32=2b24=2bb=24/2b=12cm

12.

e is in the form of a square of side 16 cmIt is bent to make a rectangle of breadth 10Find the length of the rectangle formed. Findwhich one has more area.cm.

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Length of square = 16 cmPerimeter of Square = 4*16= 64 cmArea of square = 16*16= 256 cm^2

Let length of Reactangle be lBreadth of Reactangle = 10 cmPerimeter of Reactangle= 2(l + 10)= 2l + 20

Perimeter of Reactangle = Perimeter of Square

Hence,2l + 20 = 642l = 44l = 44/2 = 22 cm

Area of Reactangle = 22*10= 220 cm^2

Therefore,Length of Reactangle = 11 cm Square has more area.

13.

Fill in the missing numbers to make them equivalent fractio40 10 60(cl 2 -64 (dしー1-2018 6 - 309□54 □

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a) 28/40 = 7/10=14/20=42/60

b) 20/28=5/7=35/49=70/98

c) 2/9=6/27=12/54=2/18

d) 15/18=5/6=20/24=25/30

kaise solve kiya

plzz explain me in detail

tell me plzz

14.

(3) ABCD is a rhombus. AC = 16 cm, BD=30 cm.Find the length of side AB.

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15.

ih,AhenllsLlDOTOTboviTshasdiameter11.2cm.FindtheemspheriCanvolume of milk it can homispherical bowl is made of steel 0.5 cm thick. The inside radius of the bowl is 4 ern.P7. Ache volume of the steel used in making the bowl.nde The volume of two spheres are in the ratio 64 27 Bind the dieace t thicir ss face ateas,. if

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16.

(2) The denominator of a fraction is greater than its numerator by 2. Ifof a fractionumerator and 9 to the denominator, the new fraction is equivalent with.Find the fraction.

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17.

EXERCISE 8.5A. Compare the fractio1.24232.B. Write in ascending

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3/5 is the correct answer

3/5 and 2/4... make the denominator equal

= 3*4/5*4 and 2*5/4*5= 12/20 and 10/20

clearly 12> 10 so, 3/5 > 2/4

18.

10) JUNE(c) i lakh=10 lakh

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1 lakh * 10 = 10 lakh

10me 1 multiple karoge to 10lakh to hojayega

1×10=10 lakh righthe please like and share

100000*10=1000000meaning of this question

1*10=10 lack is answer

19.

A circular field of radius 30 m has a circular path of width 3 m inside its boundary.Find the area of the path (Take 7 = 3.14)

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20.

7. The area of a square of side 16 cm is the same as that of a rectangle of length 64 cm.What is thebreadth of the rectangle?

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21.

एक कार 30 km/h की समरूप चाल से 30 km चलती है।अगले 90 km की दूरी वह किस चाल से तय करे कि पूरी यात्रामें उसकी औसत चाल 60 km/h रहे।

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22.

al ts 64 cm.nd the area of a square, the length of whose dlagon

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23.

८ व्यापारी के पास 16 क्विंटल गेहं था। उसके ।कछ हिस्सा 17% लाभ और बाकी का हिस्सा| 27% लाभ पर बेच दिया, इस प्रकार उसे कुल21% लाभ हुआ। उसने 27% लाभ पर कितनागेहूं बेचा ?(A) 960 किग्रा.(C) 320 किग्रा.(B) 640 किग्रा.(D) 1280 किग्रा.

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640 kilogram may be....

640 kilogram........

640 kilograms .

b) 640 kg is the right answer of the following

640 kilogram is correct answer

640 kilograms .

24.

two sides of a parallelogram are in the ratio of 5:3. if it's perimeter is 64 cm , find the length of its sides

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25.

The ratio of speed-of boat in downstream and speed ofboat in upstream is 9: 7, if speed of current is 3 km/h,then find distance travelled upstream in 5 hr.(1) 105 km(4) 90 km(2) 110 km(5) 95 km(3) 120 km

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26.

. 73 km 155 m +24 km 19 m +31 km 90 m

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73 km 155 m + 24 km 19 m + 31 km 90 m= 128 m 264 m

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27.

6. A cylinder and cone have bases ofequal radii and are of equal heights.Show that their volumes are in theASratio of 3:1.June 15 (AP)

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28.

1. Find the ratio of(i) 60 paise: 3 rupees(ii) 2 m 7 cm: 36 cm(ii) 2 year : 10 months

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29.

(i) $ 5(x+2)^{2}+6(x+2)+1 $(ii) $ 2(m+2 n)^{2}+5(m+2 n)+2 $

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thanks

30.

cuboidal water tank is 8m long, 4m wide and 3.5m deep. How manyit hold? (1m = 1000 I)deck of 52 playing cards is well shuffled.If one card is drawn from thzdom. find the probability of getting i) a black coloured cardii) a face card.given figure ABCD is a parallelogram. Find the length of its altitud9cm- 4M.-Jc12cmhe area of a trapezium DEFG shown in the given figure.G8см

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IN ||ABCDAD=9cm,CF=4cm||ABCD=AD×CF[°.°l×b] =9×4 =36.......(1)In this way,||ABCDCD=12cm,AE=??||ABCD=AE× CD =AE×12.....(2)

By (1)and(2)AE×12=36 AE=36/12 •°• AE=3cm

31.

15. A card is drawn at random from a well-shuffled deck of 52 playing cards. Find therobability that the card drawn is:(a) A card of spade or an ace.(b) A red face card of king.(c) Neither a king nor a queen of clubs(d) Either a king or queen.

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32.

11. Find the probability or rawimg a12. Find the probability of drawing a face card that is a black.

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Total number of cards = 52Number of black face cards = 6

P(black face card) = 6/52

33.

Find the area of the shaded triangles given belo

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4 is the area ..............

...

34.

ny aiole) to hnish the same work. 4The vertices of a triangle are (5, 1), (1, 5) and (-3,1). Find the length of median of the triangle. 4(b)(c) A5 m long ladder is placed Ieaningtouo

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35.

If in two right triangles, one of the acute angles of one triangle is equal to anacute angle of the other triangle, can you say that the two triangles will besimilar? Why?8.

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36.

EXAMPLE 20 A right circular cone is divided by a plane parallel to its base in trwo equal volumes.Inwhat ratio will the plane divide the axis of the cone?

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Let the radius of the base of the cone(DB) = R

Height of the base of the cone(AD) = H

Slant height of the base of the cone(AB) = L

Again, let the radius of the base of the cone(GE) = r

Height of the base of the cone(AG) = h

Slant height of the base of the cone(AE) = l

Now, from the figure

Height of the remaining part of the cone GD = H - h

Given that the right circular cone is divided by a plane parallel to its base in two equal volumes,

So, the volume of the small cone is half of the volume of the whole cone.

=> πr2h/3 = (1/2)*πR2H/3

=> r2h = R2H/2

=> r2h/R2H = 1/2

=> r2/R2= H/2h ..............1

Again, we know that EF || BC,

So, ΔAEG ∼ ΔABD

=> GE/DB = AG/AD

=> r/R = h/H

=> (r/R)2= (h/H)2

=> r2/R2= h2/H2...........2

From equation 1, we get

H/2h = h2/H2

=> H/2h = (h/H)2

=> (1/2)*(h/H) = (h/H)2

=> 1/2 = (h/H)3

=> h/H = (1/2)1/3

=> h/H = 1/21/3

=> H = h*21/3

Now, h/(H - h) = h/(h*21/3- h)

=> h/(H - h) = h/{h(21/3- 1)}

=> h/(H - h) = 1/(21/3- 1)

=> h : (H - h) = 1 : (21/3- 1)

So, the ratio of the line segment into which the axis of the cone is divided by the plane is 1 : (21/3- 1)

37.

21. The difference of squares of two numbers is 180. If squaretimes the bigger number then find the two numbers.

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38.

6. The height of a cone is 30 cm. A small cone is cut off at the top by a planeparallel to the base. If its volume be of the volume of the given cone,27

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39.

One card is drawn at random from a pack of 52 cards.Find the probability that the card drawn is(G) Either Red or a king. (ii) a red face card (ii)'2' ofspades (iv) '10' of black suit.

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(i)In a deck, there are 26 red cards(including two red kings). There are 2 red kings and 2 black kings.so total number of cards= 26+2=28so the probability of drawing a red or a king is 28/52=7/13

(ii) There are 6 face cards in red- the king, queen and jack of hearts and diamonds.So, the probability is 6/52=3/26

(iii) the probability of drawing 2 of spades is 1/52

(iv) There are two 10 cards in black suit: 10 of spades and 10 of clubs. So the probability is 2/52=1/26

40.

Red queens and black jacks are removed from a pack of 52 playinreshufling them. Find the probability that the drawn card() a king, (ii) of red colour, (iii) a face card, (iv) aqun

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41.

One card is drawn by random from a well-shuffled deck of 52 cards. Find the probability that the carddrawn is9.a. red kingb. black queen

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42.

Red queen's and black jacks are removed from a pack of 5 2 playing cards. A card is drawn at random from the remaining cards. After reshifting the probability that drawn card isA) kingB) a red colourC) a face cardD) a queen

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43.

(2) All kings, queens and aces are removed from a pack of 52 cards. The remaining cardsare well shuffled and then a card is drawn from it. Find the probability that the drawncard is (i) a black face card (ii) a red card

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44.

Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawnat random from the remaining cards, after reshuffling them. Find the probability that thedrawn card is:1.(i) a king(ii) a face card

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45.

. Sing — Cos¢ +1 _Sing +1Sing + Cos¢p—1 Cos¢

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(sinθ - cosθ +1 )/(sinθ +cosθ -1)

dividing numerator and denominator by cosθ

[(sinθ - cosθ +1 )cosθ]/[(sinθ +cosθ -1)/cosθ]=(tanθ -1 + secθ )/(tanθ +1 - secθ)=(tanθ + secθ -1)/(tanθ - secθ+1)

As, sec²θ- tan²θ = 1(secθ -tanθ)(secθ +tanθ) = 1

putting this in numerator,[(tanθ + secθ -(sec²θ- tan²θ)]/(tanθ - secθ+1)=[(tanθ + secθ) -(secθ- tanθ)(secθ+tanθ)]/(tanθ - secθ+1)=(tanθ+secθ)[1- (secθ - tanθ)]/(tanθ - secθ+1)=(tanθ+secθ)[1- secθ + tanθ)]/(tanθ - secθ+1)=(tanθ+secθ)

Now, multiplying and dividing by(secθ- tanθ)[(tanθ+secθ)×(secθ- tanθ)]/(secθ- tanθ)=(sec²θ- tan²θ)/(secθ- tanθ)= 1/(secθ- tanθ)=1/1/cos-sin/cos=sin+1/cos

46.

Prove that sin 5θ16 sing-20 sing + 5 sinθ

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47.

४0) _ ००७० :1-tan £iv® 086-5mg~sing - 956 +sing

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48.

) Asing 45076 = |

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49.

(21) A cone is cut parallel to its base in such a waythat the volume of the smaller cone is 1/729 times.of bigger cone find the height of the smaller coneif the one is cut 40cm above the base.

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Height of smaller cone = 5cm

50.

The height of a cone is 30 cm. From its topside a small cone is cut by aplane parallel to its base. If volume of smaller cone is 27 of the givencone, then at what height it is cut from its base ?

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