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.

R. The profits of a company are shared among three partners A. B and C in the rati2:2:3.If A gets ? 14,000 as his share, find the total profit of the company and the shares ofand C.HOTMathematics Book-7

Answer»

let A,B,C get 2x,2x,3x, of the total sharethen 2x=14000......(A's share)x=7000total profit =2x+2x+3x=7x7x=7×7000=49000

2.

5.A classroom is 2 degrees colder than the playground during summer time. If the thermometein the classroom shows 29 oC, what is the temperature in the playground?

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as classroom is 2° colder than playgroundhence temperature will be 2 units more hence 29+2=31°C in playground.

3.

)Volume8.The length, breadth and height of a cuboid(rectangular solid) are 4 :3:2(i) If its surface area is 2548 cm2, find itsvolume.If its volume is 3000 m3, find its surfacearea(ii)

Answer»

Letlenght of cuboid = 4xbreath = 3xheight = 2x

so volume of cuboid = l*b*hthen3000 = 4x*3x*2x

3000 = 24x³

125 = x³thenx = 5thuslength = 20cmbreath = 15cmheight = 10cm

TSA = 2(20*15 + 15*10 +10*20)TSA = 2 (300+150+200)TSA = 2(650)thusTSA = 1300cm²

in CSACSA = 2(20+15)*10CSA = 2(35)*10

CSA = 700cm²

thus

TSA = 1300cm² and CSA = 700cm²

4.

Find the volume of the sphere given in theadjacent figures.Find the volume of sphere of radius 6.3 cm.

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5.

If f R [0.o) defined by f(x) 10 then f (x)-a) log, 10b) x10c) log1od) 10

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6.

Factorize the following binomial: 2x+6

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the answer is 2(X+3)

2x+6=2×x+2×3=2(x+3) {take 2 as common}

2x + 6 =2 × x + 3 × 2 = 2(x + 3)

2( x+3)is the answer

2(x+3) is right answer

2(x+3)is right answer

2x+62(x+3) this is your snswer

2x+62×x+2×32(x+3)

WELCOME

2x+62(X+3)explanation:you take 2 out of both terms since they are both divisible by 2 ,and you are left with :=2.x+2.3=2(x+3){answer}we got the answer

2(x+3) is your answer

2x + 6= 2(x + 3) is an answer

2x+6=2×x+2×3=2(x+3)so,2x+6=2(x+3)

2x+6=common 2(x+3)Answer

By selling 140hens Ramesh lost the s.p of 10 hens find his loss percent

By selling 140 Hens Ramesh lost the s p of 10 hens. find his loss percent

2(×+3) is the correct answer

2x+6 =2×x+2×3 =2(X+3)so,2x+6=2(X+3)

2x+6=2xX+3x2=2(x+3)

2(x+3) is the answer

2 x1x x+2x3= 2(x+3) is the answer

2(x+3)is right answer

2(x+3) istheanswer

2(×+3) is the correct option

2(x+3) is the answer

the answer is 2(x+3)

the binomial of 2x+6=2(X+3)

Tha answer is 2( X+ 3 )

2(x+3) is right answer

2(x+3)we will 2 as common as it is the common factor of 2 and 6.

2x +3+2(x+3) ( x+3)(x+3) (x+2)

Take 2 common 2(x+3)

2(X+3)is the exact answer

2 (x+3) Is the correct answer

the answer i s 8x

2(x+3) only this is the answer

2(x+3) is the answer of given question

2x + 62 × x + 2×3 2(x + 3). {taking 2 as common in both }.

12x answer of question

2x+62*x+2*32(x+3) {2 is common here}

A/q 2x+6=2*x+2*3Common factor is 2So answer is 2(x+3)

2(x+3) is right answer

the correct answer is 2(X+3)

Take 2 Comman then answer is 2(x+3)

2x+6 =2(x+3)this is the answer

2(x+3)this is a answer of this question thanks

=2×x+3×2 =(x+3) this is answer

7.

Hence, n 7 and r 3.If the coefficients of x x andare in AP, prove thatxr +1 İn the binomial expansion of(1+x)n2-n(4r+1)+4r2-2 0.

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Kindly replace the a by X.

8.

dy+ y cot x = cosec xalr

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9.

n any binomial expansiom a, b, c and d be the 6th, 7th, 8th and 9th termsb2respectively, prove thatto- ac 4aHOTSIf the four conscutive coefficients in any hingmil

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1

2

3

4

10.

4. Prove that a abo i always noeve alrt2and c.AMICMNERS

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11.

. If a rickshaw travels at a speed of30 kmph, how far will it travel inthree quarters of an hour?

Answer»

thank you

12.

Diagram of the adjacent picture frame has outer dimensions28cm×24cm and inner dimensions 20 cm× 16 cm. Findthe area of shaded part of frame, if width of each section isthe same.20cm28cm

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thanks for giving a great and understanding answer

13.

the table gives a small company profits in thousands of dollars over the last four quarters a negative number indicates a loss use the table to answer the question

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Please post the complete question for us to help you.

14.

4 The area of a courtyard is 3750 m2. Find the cost of covering it with gravel to1 cm ifthe gravel costs ? 6.40 per cubic metre.dto in al of lensth 16 m breadth 1

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15.

The area of a courtyard is 3750 m2. Find the cost of coveri1 cm if the gravel costs 6.10 per cubic metreg it with gravel to a height ofo of urth i6 m breadth 12.5 m and

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16.

13. Find the zeroes of the following polynomial: 5v3x2+21x+8v3

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17.

Find the zeroes of the following polynomial: 5v3x^2+21x+8v3

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18.

The length of a playground is 110 m and its breadth is 80 m. Find its perimeter.

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19.

( 7 x - y - 6 ) ^ { 2 } + ( 14 x + 2 y - 16 ) ^ { 2 } = 0

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20.

Use the identity (x+a)(x+b)=x^{2}+(a+b) x+a bfind 501 X 502

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21.

quilateral udligie19. Find the value of 16 x14 x)815

Answer»

-4/15 is right answer of this question. please like my answer

-4/15 is the correct answer of the given question

22.

i) What is the sum of the binomial coefficients in the expansion of (1+x)502

Answer»

for (1+x)^n sum of binomial coefficients is 2^nso sum of binomial coefficients of. (1+x)^50=2^50

23.

Length, breadth and height of cuboidal room is 15 m, 10m and 7m respectively. Findvolume of air inside the room.

Answer»

volume =15*10*7=1050m^3 is the best answer

volume=15*10*7=1050m^3is the best answer

Multiply the length, breadth and height and it will come 1050 volume.

volume=15×10×7=1050m^3 is correct answer.

1050 m^3 is the correct answer.

24.

4. Find the number of 4 cm cubes that can be cut out trom a5. The aredoi a courtyard is 3750 m2 Find the cost of coveringit12 cm cube."witha grayel to a height of 1 cm,itfthe gravel costs6.40 per cubic metre.6/Mathematc 8

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25.

The area of a courtyard is 3750 m . Find tthe gravel costs R 6.40 per cubic metre.he cost of coveringit with a grayal to a height of cm, i

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26.

I Mohom उठता कप clids ऊ. काot fy 2202 छालट 4 तर 2. का e al (65८ 8o

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27.

10. The H.C.F. of 276 and 1242 is 138. Find their L.C.M.

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28.

Q7.Simplify:276(1)62OV2 8V3+ Fo+V3 VGAVE4+754-V4-154+53(iii)5+13

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3/5+V3 x 5+V3/ 5+V3=15+3V3/(5+V3)( 5-V3)=15+3V3/( 5- V3)(5+V3);; 2/5+V3 x 5-V3/ 5-V3=2(5-V3)/(5+V3)(5-V3); 15+3V3/(5- V3)^2- 2(5+V3)/ (5-V3)^2= 15+3V3-10-2V3=5+V3

29.

Verify that:x^{3}+y^{3}+z^{3}-3 x y z=\frac{1}{2}(x+y+z)\left[(x-y)^{2}+(y-z)^{2}+(z-x)^{2}\right]

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30.

4. A bucket open at the top is in the form of a frustum of a cone with a capacity of 12308.8 cmThe radii of the top and bottom circular ends are 20 cm and 12 cm, respectively. Find the heightofthe bucket and the area of metal sheet used in making the bucket. (use π-314)

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31.

A bucket open at the top is in the form of a frustum of a cone with a capacity of 12308.8 cm3. The radii28.of the top and bottom circular ends are 20 cm and 12 cm respectively. Find the height of the bucket andthe area of metal sheet used in naking the bucket. (Use 314)

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32.

A bucket is in the form of a frustum of a cone whose top and bottom areof diameters 42 cm and 28 cm respectively. If the height of the bucketis 21 cm, find the capacity of the bucket in litres.

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33.

Divide 96 chocolates between Raju and Ravi in the ratio 5:7

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34.

7. The sngles of a qundrilaeral ane in the rasio 1-2 3.. Find the smalest and the largest angde

Answer»

Let the angles of quadrilateral be

x, 2x, 3x , 4x

sum of all angles of quadrilateral = 360°

x + 2x + 3x + 4x = 360°

10x = 360°

x = 360/10 = 36°

Ans. the four angles are :-

x = 36°2x = 2 × 36 = 72°3x = 3 × 36 = 108°4x = 4 × 36 = 144°

Like my answer if you find it useful!

35.

Divide 96 chocolates between Raju andRavi in the ratio 5:7.

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36.

if diameter of metallic ball is 4.2 cm what is mass of the ball if density of the metal is 2.5 gram per cubic cm

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37.

2. Draw a diagram to represent a cuboid. Label its vertices as P, Q, R, S, T, U, V and W.Now writethe names of its faces and edges

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Faces -PQRS (bottom)TUVW (top)TPQU(front)WSRV (back)TPSW (left)UVRQ (right)

Edges -PQ, QR, RS, SPTU, UV, VW, WTWS, SR, RV, VWUV, VR, RQ, QU

38.

The volume of cylinder is 200 cubic cm and its height is 10cm find the area of its base

Answer»

VOLUME = HEIGHT * AREA OF BASE=> AREA OF BASE = VOLUME / HEIGHT= 200 / 10= 20 sq cm

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39.

113. A rectangular metallic sheet haslength 48 cm and breadth 36 cm.From each of the vertices of it, asquare sheet of side 8 cm is cut offand an open box is made from theremaining part of the sheet. What isthe volume of the box formed incubic cm ?

Answer»

The answer is 650cm3

I Don't Know This Type Of Questions

It is given that a box is to be made by a rectangular sheet of tin of side 35 cm by 24 cm.

Let the side of the box that have to be cut isxcmx cm.

Length of the box after cutting will be45−x−x45−x−xor45−2x45−2x.

Breadth of the box after cutting will be24−x−x24−x−xor24−2x24−2x.

Height will remain same that isxx.

Let,V(x)V(x)be the volume of the box.

V(x)=length×breadth×height=(45−2x)(24−2x)(x)=x(1080−90x−48x+4x2)=4x3−138x2+1080xV(x)=length×breadth×height=(45−2x)(24−2x)(x)=x(1080−90x−48x+4x2)=4x3−138x2+1080x

Differentiate the function with respect tox,

The box will have the following dimensions:-Length=(48-8-8) = 32 cmBreadth=(36-8-8)= 20 cmHeight= 8 cmVolume of the box formed=32×20×8 =5120cm3This is your required answer

length=(48-8-8)=32 cm, breadth =(36-8-8)=20 cm, Height = 8 cm Volume = 32 x 20x8= 32 x 160=5120 cm^3

40.

Diagonals of a rhombus are 20 cm and 21 cm respectively, then find the side of rhombus and its perimeter.

Answer»

We know that in a rhombus the diagonals bisect each other at 90so let AC=20 AND BD=21 cmAD=10 AND BO=10.5 CMAB²=AD²+OB²=10²+10.5²=100+110.25=210.25So, AB = √(210.25)AB =14.5 cm is side of the rhombus Perimeter of rhombus = 4S=4(14.5)=58 cm

41.

Divide a6 chocolatesbetween Rape andRavi in the ratiosite

Answer»

76chocolate Ravi won

5x+7x=9612x=96x=96/12x=8raju's chocolates=5X=5×8=40Ravi's chocolates=7X=7×8=56 ans

Raju has 40 chocolates &Ravi has 56 chocolates is the best answer.

5x+7x=96 12x=96 x=96/12 x=8 raju got chocolates=5×8=40 ravi got chocolates =7×8=56

Raju have 40 chocolatesRavi have 56 chocolates

is the correct answer 🏆🏆🏆

76 chocolates ramu won this is the correct question to this answer

42.

5.Divide and find the a/following:(a) 3,10,752 = 96

Answer»

3237 is the answer of the question

3237 is the correct answer of the given question

3273 is the correct answer

3273 is the correct answer

3237 is the answer of this question

when we divide 310752 by

43.

3 . Pawo“c | gide o-{ Q 43‘°Pea'>‘v urs ane fcm, ‘l0cr, distane between thers 5. रद Jind115 osea %

Answer»

area=1/2*5*(8+10)=45cm²

Area=1/2*(sum of parallel sides)*heightArea=1/2*(8+10)*5=1/2*18*5=9*5=45 cm^2

44.

Find the greatest number which can divide 62, 78 and 96 exaclty.

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45.

the ratio ofsem . Findtriangle ane 3: 5:7 and its Penemthe area of a treange.

Answer»

Here your answer...let 3:5:7 be 3x +5x+7x .3x +5x+7x =30015 x=300x = 300/15x = 20...3x = 3*20=60..5x = 5*20=100..7x=7*20= 140....

hope this will help you like my answer and MARK IT AS BEST ANSWER.

46.

13.A pit 5 m long and 3.5 m wide is dug to a certain depth. If the volume of earth taken out of it is14 m 3, what is the depth of the pit ?

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47.

nshaneprSimplify each of the following expressions:get\begin{array}{ll}{(3+\sqrt{3})(2+\sqrt{2})} & {\text { in }(3+\sqrt{3})(3-\sqrt{3})} \\ {(\sqrt{5}+\sqrt{2})^{2}} & {\text { (in) }(\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2})}\end{array}

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48.

ERSTANDING THEQUADRILATERALS 9.5PJEEA simple closed curve made up of onlyis called a polygoralcury

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49.

closed simple curve

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Insimple closed curvesthe shapes areclosedby line-segments or by acurvedline. Triangle, quadrilateral, circle, etc., are examples ofclosed curves. The shape which is notclosedby line-segments or acurveis called an opencurve. Aclosed curvewhich does not cross itself is called asimple closed curve.

In simple closed curves the shapes are closed by line-segments or by a curved line.

Triangle, quadrilateral, circle, etc., are examples of closed curves.

circle , triangle etc are your answer

50.

6 day?00 saldiers ia s fort had enaugh food for 28 days. After 4 days some soldiers wereanother fort & thus the food lasted for 32 daysQ10. 12itHow many soldiers ieft the fort?14 Factorisation

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