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.

aj y and 3T) 55 and 3

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two numbers are coprime when their HCF is 1 thereforea) 14 and 37 are coprime as their HCF is 1 because 37 is prime number.b) 35 and 36 are coprime as hcf is 1.35= 7×536= 6×6

2.

29JEE ADVANCEDMultiple Correct Choice Type23. sece-LEVEL-1Matrix30. C3)4)cos θ1-sin2 θ

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Option2 is the correct answer.

option number 3 is correct because sec is opposite of cos

3.

Exercise ajI. In Fig. 7.22, AB= AC and <B-value of ZA8A58.Fig. 7.22

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4.

23. Differentiate between binary fission and multiplefission.

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Binary fission

1. The unicellular splits into two equal daughter cells by cess division

2. Nucleus and cytoplasm divide simultaneously.

3. Many different patterns of division transverse and longitudinal.

Example :Ambeoa

Multiple fission

1. Unicellular organisms divide into many daughter cells.

2. First the nucleus divides into many nuclei and then each nuclei is surrounded by cytoplasm and the daughter nuclei are released by rupture of parent cell.

3. No definite pattern of division.

Example :Malaria parasite.

5.

what is thein the seguence 2, 5,1o,IV, 13 2 3, 2 ,32.2hombeY(So what is the least multiple23 which when diveded by82 and u leaves remai ndeYS7, 10 an d

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1. 2+8 = 10, 10+8 = 18, 18+8 = 26

similarly

5+9 = 14, 14+9 = 23, 23+9 = 32

So the next number is 26+8 = 34

2. When the number is divided by 18, it leaves a remainder of 7.

When the number is divided by 21, it leaves a remainder of 10.

When the number is divided by 24, it leaves a remainder of 13.

Observing the constant difference of 11 between divisor and remainder:

We can conclude that if 11 is subtracted from the LCM of 18, 21 and 24, then it will leave a remainder of 7 when divided by 18, a remainder of 10 when divided by 21 and a remainder of 13 when divided by 24.

When 11 is subtracted from any multiple of LCM, it will give the same result.

Now,

18 = 2 × 3 × 3

21 = 3 × 7

24 = 2 × 2 × 2 × 3

∴ LCM of 18, 21 and 24 = 504

So, any number of the form (504n – 11) will give the required remainders, when n is an integer.

But, this number also has to be divisible by 23.

Using trial and error method, for n = 6:

We find that: 504n – 11 = 504 × 6 – 11 = 3024 – 11 = 3013

congrats excellent

6.

Which number is a multiple of 4?A. 23B. 18C. 13D. 12

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12 = 4 × 3 so 12 is a multiple of 4

7.

A die is thrown 200 times by a player during a game. The data is recorded in the table given belowOutcomes1 23 5 6Frequency 4036 24 32 38 30(0) Find the probability ofgetting an even number(ii) Find the probability of getting a multiple of3W:4

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8.

A company has two plants to manufacture scooters. Plant I manufactures 80% of the scooters andplant II manufactures 20%. At Plant I, 85 out of 100 scooters are rated standard quality or better. AtPlant Il, only 65 out of 100 scooters are rated standard quality or better. What is the probability that thescooter selected at random came from Plant lif it is known that the scooter is of standard quality?What is the probability that the scooter came from Plant ll if it is known that the scooter is of standardquality

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9.

02. What is the value of p if-10p =100.10

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10p is correct answer.

10p =💯p=100/10p=10

10 is the correct answer.

10p is correct answer.

10 paisa is the right answer

the value of p is 10

10p=100p=100÷10p=10

10 is the correct answer of this question

10p=100p =100/10p=10

P=10.....................

p= 10 is the right answer

10 is the correct value of p

10.

20.The surface area of a solid metallic sphere is 16 cm2. It is melted and recastinto a cone of height 28 cm. Find the diameter of the base of the cone so formed. (UseICBSE 2010]π 22/7)

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11.

\begin{array} { l } { \frac { 5 } { 6 } \text { of } 48 ? } \\ { \frac { 3 } { 4 } \text { of } 132 ? } \end{array}

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12.

11. A does 20% less work than B. If A can finish a piece of work in175finish it inhours, then B canfal 5 hours

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13.

From a solid metallic cylinder of height 24 cm, a cone of same height and same base (ascylinder) is taken out. The density of the metal is 10 gm per cm'. If the mass of the remainingportion of the cylinder is 24.64 kg, then find the cost required to paint the remaining portionat a rate of Rs 3 per 440 cm?.2.

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volume of the remaining part of the solid = (pi)r^2 h - 1/3 (pi)r^2 h

= 2/3 (pi) r^2 h

Density is given as 10gm/cm3 ,meaning mass of every 1cm3=10gms

It is given that mass of remaining portion = 24.64kg = 24640gms

then,2/3 * 22/7 *r^2 *24* 10 =24640r^2 = 49r = 7

Slant height of cone l= sqrt[(24)^2 + (7)^2] = sqrt(625) = 25

surface area of the remaining portion = 2 pi r h + pi r^2 + pi r l= pi*r(2h + r + l)= 22*7/7(2*24 + 7 + 25)= 22(48 + 32)= 22(80)= 1760 cm^2

Cost of painting per 440 cm^2 = Rs 3Cost of painting 1760 cm^2= 1760*3/440= 4*3= Rs 12

14.

2 cubes each of volume 64 cm are joined end to end. Find the surface area of theresuling cuboid.

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15.

or)b) Two cubes each of volume 64cm^3 are joined end to end together. find thetotal surface area of the resuling cubiod?

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no answer got me

thank u

16.

a mixture of 40 litres of milk and water contains 25% water how much water should be added to this mixture so that water maybe 30% in the new mixture

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17.

16. Ratio of Copper & Zinc in a mixture is 5 : 4.1.250 Kg. Zinc is mixed in 17.5 Kg. mixture. Thenfind the ratio of Copper & Zinc in new mixture ?Typ

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5x + 2x =17×1/2kg=>7x=35/2kg=>x=5/2kg5x= 5/2*5= 25/2 kgzinc= 2x= 5/2*2= 5kg

Now after adding 1.250 kg of zinc

=> zinc becomes

=> 5 + 1.250 = 6.250 kg= 25/4

New ratio becomes

copper : zinc =25/2:25/4

= 2 : 1

18.

A mixture of 40 litres of milk and watercontain 25% water. How much water shouldbe added to this mixture so that water maybe 30% in the new mixture?

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10/100×40 = 4then 10%=420%=5

19.

FAST TRACK A(i) 8PS(iii) Mp4. Evaluate:2. Find r if:(N.C.E() 10p, - 2 P,

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20.

Name the special type of prism?2

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In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique. ... These three faces are parallelograms

21.

9. If the price of 5 m fabric of special type is Rs 210, what will be the price of 2 m falhi aatile for 6 days How long wo

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price of 5 m fabric= Rs 210then the price of 1 m fabric=RS 210/5= Rs 42therefore the price of 2 m fabric= Rs 42×2=Rs 84

22.

If the price of 5 m fabric of special type is Rs 210, what will be the price of 2 m fabric?

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Cost 5 m fabric is Rs 210Cost of 1 m fabric is Rs 210/5 = Rs 42Cost of 2 m fabric is Rs 42 × 2 = Rs 84

THANKS

23.

find area of rectangle l=500cm b=3.5m

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Area of rectangle =l*b=500*3.5=1750cm²

24.

m and 132 liece of wire circular in shape is 10.5 cm. It is reshaped into the shape ofrectangle whose length is 20 cm. Find the breadth of the rectangle.

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Radius of circular wire= 10.5 cmCircumference of circular wire = 2×22/7×10.5=>66 cmAs the rectangle is made up of same piece of wire then circumference of circle is equal to perimeter of rectangle

Perimeter of rectangle =2(l+b)=> 66=2(20+b)=> 66/2=20+b=> 33= 20+b=> 33- 20= b=> 13 = bTherefore breadth of the given rectangle is 13 cm.

25.

MoreFind the perimeter of a rectangle of:L=11.25 cm, B = 7.5 cm

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Perimeter of rectangle=2(length+breadth)=2(11.25+7.5)=2(18.75)=37.5 cm

26.

24. If the ratio of areas of two similar triangles is 1:2, then the ratio of their correspondingaltitudes

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27.

2. The areas of two similar trianglesare respectively 9 cm and 16 cm Then ratio of thecorresponding sides are

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thanks

28.

Fast Track Ans1. What is the slope of the line whose inclination(ii) 60 N.C(iv) 90(vi) 150?(iii) 450(v) 1202. Find the inclination of the line whose slope is(ii)4(iii)3(iv) 0.Very Short An5. Show that the line joining (2,-3) and (- 5, 11

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slope of the line is equal to the tangent of the angle it makes from the horizontal axis.(i) tan(0°)=0(ii)tan(60°)=√3(iii)tan(45°)=1(iv)tan(90°)= vertical line(v)tan(120°)=tan(90°+30°)=-√3(vi)tan(150°)= -1/√3

2)(i) tan⁻¹(1)=45°(ii)tan⁻¹(1/4)(iii)tan⁻¹(3)(iv)tan⁻¹(0)=0°

29.

ca PORS is a diameter of a circle of radius6 cm. The lengths PQ, QR and RS areequal. Semicircles are drawn with PQ andQs as diameters, as shown in the givenfigure. If PS 12 cm, find the perimeterand area of the shaded regionQ RTake π = 3.14.]n is 400

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30.

find the area and perimeter of rectangle l= 7cm b=5cm

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31.

amvcu In 250 metres long passes a pole in 12 2 seconds. How long it will take to pass a platform of10. A train m500 m long?

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250 metres 12.5 seconds500 metres 25 seconds

32.

A train is running at a speed of 90 km/hr. If it crosses a signal in 10 seconds. Findthe length of the train in metres.1? sernnds, How long will it take to pass a tunnel 250 m long?

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33.

Two walls of a house have windows one each ofthe shape of a rectangle, having a semicircle onthe top. The rectangular part is 1.2 m long and4.2 cm wide. From how much area the air cancome in the room?

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Consider one window:area of a rectangle = length x widthArea = 1.2 x 4.2 = 5.04 m^2area of semicircle = (pi x radius^2)/2Area = (pi x 2.1^2)/2 = 6.93 m^2 (2 decimal places)Total area = 5.04 + 6.93 = 11.97 m^22 windows = 2 x 11.97 m^2= 23.94 m^2

34.

6) Find the areas of the circles whose circumferences are(a) 88 metres(b) 66 cm

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35.

1. If a cylinder and cone are of the same radius and height, then how manycones full ofmilk can fill the cylinder? Give reason.

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Let H be the height of the cylinder and of the cone let r be the radius of cylinder and cone let n be the number of cones that can be fill the cylinder then, n x volume of cones=volume of cylinder n x1/3 (πr^2H)=πr^2H n=3Hence 3 cones should be filled the cylinder.

36.

1. Find the areas of the following trapeziums:7cm6 cm10 cm5 cm:3 cm

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37.

. Find the areas of the squares whose sides are :(a) 10 cm(c) 5 m6) 14 cm

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38.

6. The volumes of two cubes are in the ratio 8:27. Find the ratio of theirsurface areas.

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39.

16.) Find the number of planks of dimensions (4 m × 50 m x 20 cm) that can be stored in a pit,whichds 16 m long 12 m wide and 4 m deep

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40.

6. Sides of 2 similar triangles are in the ratio 4:9. What is the ratio areas of these triangles.

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ratio of area of similar triangles=(ratio of side of triangle)^2=(4/9)^2=16/81

41.

8. If ABC - APOR.BC - 8 cm and QR = 6 cm, the ratio of the areas of AABC and APQR is(a) 86 (b) 6:8(c) 64:36(d) 9:16

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option c is correct bcz BC2/QR2 = 64/36

42.

\left| \begin{array} { l l l } { 6 } & { 7 } & { 8 } \\ { 9 } & { 0 } & { 5 } \\ { 4 } & { 3 } & { 2 } \end{array} \right|

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43.

If the dimensions of a room are 4m x 3.5m x 3m. 13.What is the volume of air contained in the room?Give your answer in litres.

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Dimensions of a room are 4 m , 3.5 m, 3 m

Volume of cuboid = l× b× h

Volume of room= 4 m × 3 .5 m ×3 m

= 42 m³

in litres = 42*1000 = 42000 litres

Like my answer if you find it useful!

44.

easure of all the sides.Line perimeter is58 m.busto the adjacent rectangle ABCD.OCD -30. Calculate ZBOC. Whattype of triangle is BOC?elesto

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BOC=60° and triangle BOC is equilateral triangle

45.

NAUNEETOR5. Jay prepared a model, from plastic sheet, like a cylinder with two cones attachedat both the ends. Total length of the model is 13 cm, height of each cone is 3 emand the radius of the base of the cones is 4 em. Find the volume of air containedetOdunifoonn in the model.

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46.

in terms ofn, Rachel, an engineering student, was asked to make a model shaped like a cylinder withmodel is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volumewo cones attached at its fwo ends by using a thin aluminium sheet. The diameter of theof air contained in the model that Rachel made. (Assume the outer and inner dimensionsof the model to be nearly the same.)

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47.

UUlK their radi beingadius. Find the volume of the solidangineering student, was asked to make a model shaped like a cyinder withtwo ends by using a thin aluminium sheet. The diameter of theincering student, was asked to make a model shaped like ache attached at itsu cones and its length is 12 cm. If each cone has a height of 2 cm. find the volumeRachel, an ewithof air contained in mof ne model to be nearly the same.)odel is 3 cm and its lengtthe model that Rachel made. (Assume the outer and inner dimensionsd i

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48.

gineeringstudent,was asked to make a model shaped like a cylinder withtached at its two ends by using a thin aluminium sheet. The diameter of them and its length is 12 cm. If each cone has a height of 2 cm. find the volumened in the model that Rachel made.(Assume the outer and inner dimensionsI, an engineering stwo cones attached at its tws 3 cof air contained theof the model to be nearly the same.)

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Given,diameter=3cmradius=3/2 cmheight of the model=height of the two cones+ height of the cylinder12=2×2+h12-4=hh=8cmvolume=πr²h+2(1/3 πr²h)=22/7 ×3/2 ×3/2 ×8 +2(1/3 (22/7×3/2×3/2×2))=22×3×3×8/2×2×7 +2(1/3 (22×3×3×2/2×2×7))=56.57+2(1/3 × 14.14)=56.57+2(14.14/3)=56.57+2(4.71)=56.57+9.42=65.99m³air occupied=65.99m³

49.

11. A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side6cm. What is the area of the left over aluminium! sheet? (Take仁3.14)

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50.

8. How much air can be contained in a balloon with diameter 6 m? r-3

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A balloon is in shape of a Sphere.So, In a Sphere, Diameter= 6mRadius= 6/2= 3mVolume of Sphere= 4/3× π × ( radius)³= 4/3 × 22/7 × 3³= 4/3 × 22/7 × 27= 36× 22 / 7= 792/7 = 113.14 m³

Volume of the balloon with diameter 6 m=(4/3)πr³=(4/3)×3.14×(6/2)³=113.04 m³