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.

3 Show thax if the diagomals of a quadrilateral bisect each other at right angles, then t

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2.

1. The diagonals of a rhombus bisect each other at right angtes. Use this fact to find the areaofthe rhombus whose diagonals are of lengths 8 cm and 6 cm.m

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3.

不7uss shzzs

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4.

18 cm5cmx cm

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5.

AC. Show that AD bisects BC.AD is an altitude of an isosceles triangle ABC in which ABo shour thot the diagoals of a sauare are equal and bisect each other at right angles.

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Like if you find it useful

Plzz replay my answers

6.

EXERCISE 8.122,angles of quadrilateral are in the ratio HSquadrilateral.-tg. Find all the angles of theals of a parallelogram are equal, then show that it is a rectangle.nt right angles, then it

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ratio of the first angle = xratio of the second angle = 2xratio of the third angle = 3xratio of the fourth angle = 4xNow sum of all the angles is 360so we can write it as x+2x+3x+4x = 360 10x = 360 x = 360/10 x = 36first angle is 36 second angle is 2x = 72third angle is 3x = 108fourth angle is 4x = 144hence the angles of the quadrilateral are36,72,108,144.

The angles are 36, 72, 108, 144.

7.

als aicaRig

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Here centre point is origin.So C=(0,0)now one point is A=(3,-2)suppose second point is B=(x,y)so (0,0)=(A+B)/2 because centre point is between both the pointsso (0,0)=((3,-2)+(x,y))/22*(0,0)=(3+x,y-2)x+3=0,y-2=0x=-3,y=2so another point is (-3,2)

8.

ollowing polynomi als

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GivenP(x) = x^3

Therefore,P(0) = (0)^3 = 0P(1) = (1)^3 = 1P(2) = (2)^3 = 8

9.

Find theollowina poly nomi als.

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P(0)=0P(1)=1^3=1P(2)=(2^3)=8

10.

HCF of bra, and als 4 usingbuclide division lemma method

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so . Heck at 3731 and 9154 -M plz like my answer

so. heak at 3731and 9154-M plz like my answer and accepted as best

11.

6.How many right angles do you make if you start facing(a) south and turn clockwise to west?(b) north and turn anti-clockwise to east?ar(c) west and turn to west?(d). south and turn to north?Where will the hour hand of a clock stop if it starts(a) from 6 and turns through 1 right angle?(b) from 8 and turns through 2 right angles?(c) from 10 and turns through 3 right angles?(4) fom 7 and turns through 2 straight angles?7.

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a) 1 right angle

b) 3 right angles

c) 4 right angles

d) 4 right angles

12.

(c) west anu(d) south and turn to northWhere will the hour hand of a clock stop if it starts7.(a) from 6 and turns through 1 right angle?(b) from 8 and turns through 2 right angles?(c) from 10 and turns through 3 right angles?(d) from 7 and turns through 2 straight angles?

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13.

Prove that the sum of theangles of a quadrilateral is equal to four right angles

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14.

THINK, DIsCUg0Can you have a triangle with two right angles?an you have a triangle with two obtuse angles?Can you have a triangle with two acute angles?

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• No• No• Yes.

15.

Is it possible to have a polygon, whose sumof interior angles is :() 870°(ii) 2340°(iii) 7 right angles ?

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yes it is possible to.have a polygon of this given following angle870°2340°

yes it is possible to have a polygon of this given following angle 870,2340

Yes, it is possible to have a polygon, whose sum of interior angle is: 1) 870°

yes its possible.........

let n be the no of sidetotal internal angle= (2n-4)rt anglen=6=(2×6-4)×90=720n=7= (2×7-4)×90= 10×90=900n=8= (2×8-4)×90=12×90= 1080n=9=(2×9-4)90= 14×90=1260n= 15=(2×15-4)×90=26×90

only 2nd option is correct

only b is the correct answer

yes, it's possible to have a polygon of this given following angle - 870°, 2340°

option b. is the correct answer

16.

12. In a parallelogram, show that the angle bisectors of two adjacent angles intersect at right angles.

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17.

FIND THE ARE A OF THE SHADE D PARTIF SIDES OF SAUARE 1S SO CmS 5cmScncmcmryscmScm

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18.

The volume of hemisphere with radius 1.21SCm

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Volume of hemisphere = 2/3 × pi × r³

2/3 × 3.14 × (1.2)³ = 3.61 cm³

19.

A girl buys lemons at 4 for Rs. 3 and sells them at5 for Rs. 4, How much did she gain or loss?

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20.

(4) Prove that in a parallelogram the angle bisectors oftwo adjacent angles intersect at right angles.

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21.

i) radius of the base and (ii) total surface area of the cone.A conical tent is 10 m high and the radius of its base is 24 m. Find(i) slant height of the tenti) cost of the canvas required to make the tent, if the cost of 1 m can4.

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22.

(v) -—4+5y =7; ——3+4y =5X x

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Please hit the like button if this helped you.

23.

2y +3 -4y;.; 3y +2 6рее :

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24.

55.A park is 1500 metres long and 750 metreswide. A cyclist has to take four rounds ofthis park. How much time he will take at thespeed of 4.5 km/h?(A) 40 hours (B) 20 hours(C) 10 hours (D) 4 hours

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how much time he will take at the speed of four Hours(d)

4 hours is the right answer

distance=18km,speed=4.5km/h, time =distance/speed, time =18/4.5=4

approximately I think 4 hours

4 hour is the correct answer

4 hour is the correct answer of your question

4 hours is the correct answer i

answer is d 4 hours

4hour is correct answer

4 hours is right answer your questions

as he will take round At the boundary so..,p=2(l+b) =2(1500+750) =2×2250 =4500m =4500×4 =18000÷1000 =18km

d=speed × time18=4.5×time18÷4.5=timetime=4 hrs.

4 hours are right answer

4 hours is the correct answer

4 hours is the right time

The total distance of the park is 2(l+b) =2×(1500+750)=4500mTime= Distance travelled/Total time takenFor four round,T=(4500m/4.5km/hr)×4T=1hr×4T=4 hour

a)40 hours is the right answer for this question

(D) 4 hours is the best correct answer

20hours..........................

4 hours is the correct answer

a)40 is the correct answer for this question

4 hour is correct answer of your questions

4 hours is right answer

4 hour is a answer beacause distance =18kmspeed =4.5m/htime =distance/speed, time =18/4.5=4so answer is 4

(a) 40 hour lagega ji 40hour

4 hours is the right answer

4 hours he is the take hot the speed of 4.5 kilometre per hour

40 answer Is the correct

4 hours hai bro it is true

4 hour is the right answer

4hour is the right answer

4hour is correct answer and so plz like

it is very simple it's answer is 10 hours

it's answer is (c)10hours

it's answer is very simple 10 hours

Let's go with option D.

let's go with option D..

the answer is D) 4 hours

✓(B)20 hours

🖤hope you understand Ratan , thanks for such a beautiful question.keep studying

d...........................

4hour is the correct answer

option 4hour is right answer

Option D is the correct answer

4 hour is the correct answer

4hours because he Will take the four rounds

(D) is the correct answer

20 Hours ......................

4 hours is correct answer

answer d... 4 hours

I think 4 hours is the correct Answer

4 hrs I think my answer

approximately l think 4 hours

1500 meters 4.5+4.59.01500=9.0÷3=4time=4hours

answer is 4 hour's is questions

d is right answer an that question

4 hours he will take at the speed of 4.5 km/h

perimeter of the park is = 2(l+b) = 2(1500+750) =2×2250 =4500 metres =4.5 kilometers his speed =4.5km/h

therefore 4 rounds = 4 hrs option D is correct

He will take round at the boundary so the answer p=2(l+b)=2(1500+750)2×22504500m =4500×4=18000÷1000=18 km d=speed×time18=4.5×time15÷4.5=timetime =4hrs

answer for this Question iS a(40) hours

4 Hours is the correct answer.

4 hours is the answer

4 hour is the right amswer

4 hours is the right answer.

4 hour is my answer this is right answer

distance = 18km, speed=4.5 time= 18/ 4.5 = 4

4 hours is the answer

distance = 2×4(1.5+0.75) =18kmspeed= 4.5 km/hr hence, time =distance/speed =18/4.5 =4 hrs

4 hour is the correct answer of the question

The Answer is (D) 4 hours

4 hrs is the right answer of this question

Distance =18kmSpeed =4.5km/hTime =distance /speedTime=18/4.5Time =4 hours

(c) 1500 metres long and 750 metres

ans. (b)20 hoursbecausepark of perimeter=perimeter of rectangle=length×breath=1500×7501125000m.1km=1000m1125000=1125000÷1000=1125km.cycle has to take one round of this park=1125÷4.5÷60=5 hourscycle has to take 4 round of this park=5×4=20hours

4hours is right answers

my answer of this question is 4 hours

25.

4. 28 pears that a fruit-seller had bought forRs 3.60 each, begin to spoil. So they are sold toa stablehand at a loss of 45 %. How muchmoney did the stablehand pay to the fruit-seller?5. What is the

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Cost of one pear = 3.60Cost of 28 pears = 28*3.60= 100.8

Price at which pears sold to stablehand= 100.8(1 - 45/100)= 100.8(11/20)= 55.44

Therefore, stablehand pay Rs 55.44 to fruit-seller

26.

6. A vendor buys lemons at25 per dozen and sells them at the rate of 5 for? 12. Find his gainor loss per cent.Hint. Sappose he buys (12x5)60 lemons

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thanks buddy

27.

3.A fruit seller had some apples. He sells 40% apples and still has 420 apples. Onginally, he had

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28.

A man buys lemons at 6 for Rs. 10 and sells at 8 for Rs. 15. Find his gain percent.

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Given that he buys lemons at 6 for 10.

Then the cost price of 1 lemon = 10/6 = 1.6

Given that he sells at 8 for 15.

Then the selling price of 1 lemon = 15/8 = 1.8

We know that Gain = Selling price - cost price

= 1.8 - 1.6

= 0.2.

We know that Gain% = Gain * 100/CP

= (0.2 * 100)/ 1.6

= 12.5%.

Therefore the gain % = 12.5.

29.

1 A fruit seller had some apples. He sells 40% applesand still has 420 apples. Originally, he had:

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30.

A girl buys lemons at 4 for 3 and sells them at5 for R 4. How much did she gain or loss?

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31.

urigth of an arc of this circle, if the length of theis travelling on a circular curve of 1500 metres radius at the rate of 6le are 1S 30 Cm.km/hr. Through what angle has it turned in 10 seconds?Find the distance from i

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answer is wrong

32.

11) What is the ratio of Milky Way radius to oursolar system radius given that, the distancefrom Pluto to sun is 5.9 1012 metres andthe Milky Way disk radius is. 3.9 x 1020metres? Round off coefficient to thenearest tenth.

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thanks

33.

A train is moving on a circular curve of radius 1500 m at the rate ot 66 kper hour. Through what angle has it turned in 10 seconds?

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34.

8. How many metres of cloth, 2.5 m wide will be required to malconical tent whose base radius is 7 m and height 24 metres?

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35.

9. If the diagonal of a square ismetre, then its area is

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diagonal =a.√2(a= side)√8=a.√2a=√8/√2a=√4a=2Area = 2×2area =4metre square

area of square =1/2×(diag.)²

=1/2×(√8)² =1/2×8=4

therefore 4m² is the area of given square

8 hoga...............

a=√8/√2a=√4aa=2a=2x2A=4ms

area of square =1/2×(diag.)1/2×8=4

Diagonal of a square= √(2)×side

=8 √(2) cm = √(2) × side

side = 8 √(2) cm/ √(2)

side = 8 cm.

area of a square = side × side

= 8 cm × 8 cm

= 64 cm ^2.

the area is equal to 4 meter

diagonal of square = a√2 = √8so area a^2 = 4m^2

1/2×diag of squre=1/2×ander root 8 square 1/2×8=4

the area of the given square = 4m square

we know that ,all the sides of the square is equal to each other and it have four sides then 4*8=32m square

hence the area is 32meter square

formula of area of square when diganol is given is 1/2*d^2 so the answer is 4m^2

d=√8mlet the sides of square be 'x'm.by using Pythagoras theorem,x^2 + x^2 = √8^22x^2=8x^2=8/2=4x=√4=2

so, x=2m

area = s×s =2×2 =4m^2

diagonal is =a√2√8=a√2a=2area =2*2=4

seval fungi is useful

4m2

diagonal angle is equal to 8 into root 2

area for square is diagnol root 8 meter is 4 meter square

area = 4 meter square

the diagnol of a square is given by a√2where a is the length of the side of square (you can get it with the help of Pythagoras theorem)now given a√2=√8 =>a=√4 =>a=2(-ve side is not possible) so now area of the square =a×a=2×2=4 sq units

this answer would be 4

area will be 4 metere

diagonal is √8Formula of diagonal isa. √2then √8= a.√2a = √4a= 2

now area of a square is side square therefore 2^2 = 4 m square

4×8=32m^2 this is answer

area of square =1/2*(digonal)^2

=1/2*(2√2)^2=4m^2

diagonal =a.v2(a= side) /8=a.v2 =V8/2 =V4 a=2Area = 2x2 area = 4metre square

a=8/2 a=4aa=2A=4ms

Ans=4m² of this question.formula--1/2*(diagonal)²

The correct answer for this is 4

4 metre square is the correct answer.

diagonal of square= √2×aor, √8 = √2×aor, a =√8/√2 =√4 =2marea of square =a^2 =(2m)^2 =4m^2

area is 4m²

I have not shown the process

Area of square will be 4 meter square

area of square =1/2*(diag)2=1/2* (✓8)2

4 metre sqare are right

Suppose that the diagonal is 8. Square 8, so you will get 64. Now divide 64 by 2, you will get 32.

side 2, so area will be 15

4 metre square is the answer

area is 4 metre square

sab galat hai answer

area of sqr= 1/2× d^2 =1/2×√8^2 =4 m

diagonal =a.2½(a=side)then a=2Area is 4

Area 4 metre square

I think area of Square should be 4m²

diagonal of square=√ 2a8=√2aa=8/√2area of square=( 8/√2)^2 =32 cm ^2

the area of square 🔲 is 4 metre square

the area of square is 4 metre square

area of square is 4m sqyare

it's area will be 4 square meter

answer is 8 because formula of area of square is =A.A

the area equal to 4 .

Area is 4because perimeter =a√2

8√(2)cm=√(2)*side. side=8√(8)cm/√(2)side =8cmarea of square=side*side8cm*8cm64cm ^2

√2a=√8a=√(8/2)a=√4a=2

area of square=1/2×[diagonal×diagonal]so area=1/2×√8××√8 =4

side=√8÷√2=4area=4×4=16

diagonal = a.√2(a=side)a√2=√8a= 2√2/√2a=2 area= 2×2 = 4 metre squre

4hoga..................

36.

(2 Solve the following equations.3 ~y=iTix i sy= 3 ।

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you can go to Google for the best answer

3x-y=7 --------(1)×4x+4y=11------(2)12x-4y=28x+4y=11by adding 13x=39x=39/13=3putting the value of x in eq2x+4y=113+4y=114y=11-3=8y=8/4=2

y=3,x=3 is the correct answer

X=2, Y=3 is the best answer

3x-y=7 3x=7+y x=7+y/3 x+4y=11 7+y/3+4y=11 7+y+12y/3=11 7+13y=33 13y=33-7 y=26/13 y=2 and 3x-2=7 3x=7+2 x=9/3 x=3

x=2,y=3 is right answer fot this question

37.

15x A railway train is travelling on a curve of 1500 m radius at the rate of 66 km/hrThrough what angle will it turn- in 20 seconds

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speed in m/s = 66*5/18 = 55/3 m/s

Arc length is v×t = 55*20/3 = 1100/3 m

so, arc length is = 2πR∅/360°

and ∅ = Arc length *180°/π*R = [(1100/3)/(π*1500)]×180° = 14.01°

38.

3. Solve the following equations:(2y+3)-(4y +7).2 - 4

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4/3 is the right answer

(2y+3) - (4y+7)/2y -4 =5(2y+3) - (4y+7) = 5(2y-4)2y+3-4y -7 = 10 y -20-2y -4= 10 y - 20.12 y = 16y = 16/12y = 4/3

4---- 3 is correct answer

4÷3 is right answer

plz like my answers I like yours answer

4/3 is the correct answer

39.

1. If Va b (), then find x. (a > 0, b > 0)

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a⅓.b½ = (x)^(1/6)

so, x^(1/6) = (a²)^(1/6)× (b³)^(1/6)=> x^(1/6) = (a²b³)^(1/6)

so, x = a²b³

40.

T3/Find the value of k for which x= 1 sa root of the equation x2+kx +3-0.peqatievaluesofaandbforwhichx|andra-2aretherootsoftheAlso, find the other root.Find the vaequation ax+bx-60Solpe eacl cit

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41.

VOOR243 daysComplete.3 years =dayshoursThe average lifetime of a

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1 year = 365 days3 years = 3 × 365 days = 1095 days

42.

Find the volume of the cone whose diameter and slant height are 24 cm and 37 cmrespectively.

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43.

uradius 3.5 cm, height 12 em0 the capacity in litres of a conical vessel with(ii) height 12 cm, slant height 13 cmradius 7 cm, slant height 25 cm

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44.

and m are two lineanother pair of parallel linesarallel lines intersected byp and qo 7.19). Show that Δ ABCΔ CDA.(see Fig.

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45.

. Find the capacity in litres of a conical vessel withradius 7 cm, slant height 25 cm (ii) height 12 cm, slant height 13 cm

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46.

Find the capacity in litres of a conical vessel withradius 7 cm, slant height 25 cm(i) height 12 cm, slant height 13 cm

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47.

Find the capacity in litres of a conical vessel with0 radius 7 cm, slant height 25 cm (i) height 12 cm, slant height 13 cm

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48.

1.1TEEHow many terms of the series 42, 36, 30.....amount to 150 ?

Answer»

Formula:

Sn(Sum of nos. till nth term)=n/2(2a+(n-1)*d)

Here:

First term ‘a' is 42.

Difference ‘d' is -6.

Sn =150

Substituting values in the equation:

150=n/2(2*42+(n-1)8(-6))

300=n(84+(n-1)*-6)

300=n(84-6n+6)

300=90n+6n²

Dividing equation by 6:

50=15n+n²

n²+15n-50=0

Solving for n we get:

n=5 and some negative answer.

But n cant be negative so,n=5

So the number of terms is 5.

49.

Eind the length af the diagonal o a squwhose Side is a

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Thanks😄

50.

Find the least number which must be added to 6412 to make it a perfect squ

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but I found this problem I got 149