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.

Es of ac: 345 show that not = 3. Abs fürclocotterts -2.

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2.

Find the angle which is four timesrts compliment is 10 less than thwiceits Complement.

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x is the angle, its complement will be (90-x),because they have to add up to 90, and here x + (90 -x) = 90 here in the question, x is equal to 4 times of its complement, so we have x = 4 * (90 - x) --> x = 360 - 4x --> 5x = 360 --> x = 360/5 --> x = 72

3.

S and T are points on sides PR and QR ofΔ PQR such that < P = < RTS. Show that

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4.

17. There is a pentagonal shaped park as shown in the figure. Jyoti and Kavita divided it in twodifferent ways.30 m15 m15 m15 mJyoti's diagramKavita's diagram

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5.

17. There is a pentagonal shaped park as shown in the figure. Jyoti and Kavita divided it in twodifferent ways.WO30 m15 m15 m15 mJyoti's diagramKavita's diagramPro inearea ?

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6.

5. S and T are points on sides PR and QR ofΔ PQR such that < P = < RTS. Show that

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7.

Find five rational numbers betweenandun

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8.

Find five rational numbers betweenذرا آراun

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Five rational numbers 3.1/5,3.2/5,3.3/5,3.4/5,3.5/5

9.

ocagonai Shace10. There is a pentagonal shaped park as shown in the figureFor finding its area Jyoti and Kavita divided it in two different ways30 m151 515 mJoyti's diagramKavita's diagramH15 m

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Jyoti has divided the park into congruent trapeziums. The parallel sides of the trapezium are measuring 15 metres and 30 metres and the perpendicular distance is 7.5 metres

Area of Trapezium = 1/2 × Sum of parallel sides × Perpendicular distance

So, Area of two trapeziums = (30 + 15) × 7.5 = 337.5 sq m

Kavita divided the park into upper triangular portion and a lower rectangular portion. Sides of the rectangle are 15 metres each. Base and height of the triangle are 15 metres each.

Area of square = 15 × 15 = 225Area of triangle = 1/2 × 15 × 15 = 112/5Total Area = 225 + 112.5 = 337.5 sq cm

10.

1. I the angles of a qusdritstera areThe third intenior angle meesurss a essthan the tourh argle. Find me2 A camp ground sitesinthe shace dlecanesThe sidssortmethe massuN of al

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11.

5. S and T are points on sides PR and QR ofΔ POR such that P = RTS. Show that

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12.

and T are points on sides PR and QR ofΔ PQR such that P = RTS. Show thatARPO-ARTS:

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13.

5. S and T are points on sides PR and QR ofP =Δ POR such thatRTS. Show thatARPO-ARTS

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14.

(10) Write the names of different type of quadrilaterals.

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Types of quadrilaterals

Parallelogram.

Rectangle.

Square.

Rhombus.

Trapezium.

paralleogramtrapeziumsquare rhombus rectangle

15.

ti Sheow that 4 5 in ational

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4√2 is irrational because it Cannot be written in p/q form where q is not equals to 0.

16.

UAns. 3% per athe total amount of interest on both the sums. TuHe rece1Hari lent at19 hari lent at simple interest: 900 for 4 years and 3 800 for 5 years to Mohan. Howon both the sums. Find the rate of interest.304 as the total amount of interest on both the sums. Fin(Tabalpur, 2006) Ans. 4% per a

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find the interest on rupees 800 for 146 days at a rate of interest of 5%

17.

Shaceational

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Let , 7-√5 is a rational no. is equals to r, where r is a rational no.So,7-√5 = r 7-r = √ 5.Now,LHS is a rational but RHS is an irrational.So, our assumption was wrong; 7-√5 is not a rational no. Therefore, 7-√5 is a irrational no. Hence, proved.

18.

ational numbers un(d) 22th

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22/7 is a rational number...

is a rational number is the correct answer of the given question

it is rational number

3.14 and it is value of π

22/7 is a rational number

a) 3.14b) rational numberc) πchoose any answer by your wish

22/7=π=3.14correct answer

19.

( 4 p - 3 q ) ( 4 p + 3 q )

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(4p-3q)(4p+3q) = 8p

20.

A median of a triangle divides it into two triangles of equal areas

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21.

Find the core radius necessary for single mode operation at 850nm ia SI fiber with n 1.480 and n2 1.47. What is thenumerical aperture and maximum acceptance angle of thisfiber?

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22.

There are 40 students in a class of whom25 are girls and 15 are boys. The classteacher has to select one student as aclass representative. He writes the nameof each student on a separate card, thecards being identical. Then she putscards in a bag and stirs them thoroughly.She then draws one card from the bag.What is the probability that the namewritten on the card is the name of (i) agirl? (ii) a boy?

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The probability of the name written on cars is the name of girl = 25/40 =5/8

The probability of the name written on cars is the name of boy = 15/40 =3/8

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Total students=40number of boys=15number of girls=25(i)P(a girl)=25/40=5/8(ii)P(a boy)=15/40=3/8

probability of girl=5/8probability of boy=3/8

1) Name written on a card is of a girl?

Favourable outcome= 25Total possible outcome= 40

P(E) = Favourable outcome/Total possible outcome

P( name is of a girl) = 25/40

P(name is of a girl) =5/8

Similarly probability of getting a boy is 3/5

23.

Juhi sells a washing machine for Rs. 13,500. She loses 20% in the bargain.What was the price at which she bought it?

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SP = 13500 LOSS = 20% CP = 13500/0.8 = 16875

24.

6 Juhi sells a washing machine forthe price at which she bought it?13,500. She loses 20% in the bargain. What was

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25.

6. Juli sells a washing machine for? 13,500. She loses 20% in the bargain. What washe price at which she bought it?

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26.

6.Juhi sells a washing machine fort 1 3.500. She loses 20% in the bargain. What wasthe price at which she bought it?

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27.

36/100

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36/100=18/50=9/25 is the answer

.366666666666666666666

36/100 = your answer is 0.36

9/25 is the answer and in the points it may be happened

0.36 is the answer of 30/100

28.

36100(i

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= (36/100)

= 0.36

29.

\frac { 36 } { 100 }

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0.36

0.36

30.

Is anyone don't know my doubt

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except u

there are or many questions

31.

if anyone know the concept some number and its reciprocal greater than or equal to two?how

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am>=gm(x+1/x)/2>=root(x*1/x)x +1/ x>=2

32.

sincossee' θ_cos ect)-2.Prove that cos:Osme40,s scccos'θsin' e

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(sin²θ/cos²θ) + (cos²θ + sin²θ) = tan²θ + cot²θ = sec²θ - 1 + cosec²θ -1 = sec²θ + cosec²θ - 2

*There is an error in the question. There should be + sign or . after the first term on the RHS*

33.

2+2=5 can anyone prove it

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34.

A tap can fill a cistern in 8 hours and another can empty itin 16 hours. If both the taps are opened simultaneously,the time in hours) to fill the tank is

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A tap in 8 hr fill 1 partin 1 hr fill 1/8 th partIn 16 hr B empty 1 partin 1 hr empty = 1/16 th partin 1 hr both work =1/8-1/16= 2-1/16= 1/16 th part1/16 th part fill both in 1 hr 1 part (full) fill 16 hrs

Time taken by tap to fill ciltren = 8 hours

Time taken by tap to empty ciltren = 16 hours

in 1 hr tap fill the cistern = 1/8 partIn 1 hr tap empty the cistern = 1/16 part

A/Q

1/8 - 1/16 = 1/16

1 ÷ 1/16 = 16

= The cistern would be filled in 16 hours.

35.

Find a rati mal mumber3 2

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36.

1. Write the following in decimal form and sayhas :mal36100

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(i) 36/100 = 0.36 Terminating decimal(ii) 1/11 = 0.0909.... Non-terminating decimal

37.

o 3 plaumal)square restof the following(1)(a)Find theg. 9856

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√9.9856 =3.16 is the best answer

8x 9856 = 8 8 , 7 0 4

8×9856=88,704 answer

√9.9856=3.16the answer is correct

3.16 is your answer

Thanks for asking

38.

1.Where is the Mal2. What does Markhor'mean?dangers that the Markhor1: ffs?

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Markhor is an endangered species of wild goat.

39.

Vig. 6.15In lig 6 lo, if s t yewtt ihen prove that AOBa lineFig. 6.16Fig. 6.17 POisa lins PaOi

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hi madhsudan broplz help me solve to my question

dear student,could you please tell where you didn't understand the solution provided

The product of two consecutive heterogeneous numbers is 195. What is the sum of those numbers?

40.

why are lysosomes called societ bags

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Lysosomesare cellular organelles that contain digestive enzymes that break down waste materials, foreign material and cellular debris. Lysosomes are capable of digesting nucleic acid, polysaccharides, fats, and proteins. Along with them lysosomes also digest or damage its own cells by its own enzymes, which lead to cell death. This process is called as autolysis. Hence lysosomes are also called as suicide bags

41.

oneoftheseQues. 03:- The sum of two numbers is 58. If the difference is 24, then numbers atr

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Like if you find it useful

42.

A lot consists of 144 ball pens of which 20 are defective and the others are good. Nuriwill buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws onepen at random and gives it to her. What is the probability that(i) She will buy it ?(ii) She will not buy it?

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1

2

Number of pen she not by is

43.

lo prove that 3 + 2/5 is irrational,

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To prove: 3+2√5 is irrationalLet us assume that l 3 + 2 √ 5 is rational

Thus 3 + 2 √5=a/b(where a and b are co prime integer )

√5=a-3/2b

because, a-3/2b is rationaltherefore root 5 will also be rational

but we know that,root 5 is irrational

Therefore our assumption is wrongThat is 3+2 √ 5 is irrational

44.

. tan2x5.Evaluate :limπχ22

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since the limit is tending to 0/0 so, using L.H rule

on differentiation of both the terms

lim x→π/2. 2sec²(2x)/1 = 2*(sec²(π)) = 2*(-1)² =2

45.

| 4. यदि sin(x + y) = Cos [3(x + y)] हो, तो| tan2x+y)] का मान क्या होगा? ।

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sin(x + y) = cos[3(x + y)]cos(90 - (x + y)) = cos[3(x + y)]90 - (x + y) = 3(x + y)4(x + y) = 902(x + y) = 45

Therefore,tan[2(x + y)] = tan 45° = 1

46.

sec8x-1/sec4x-1=tan8x/tan2x

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not showing ans

47.

Solve the equation tan2x + cot?r= 2

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48.

Prove that:(sinr + cosec), (cosx + secr)2 = tan2x + coex + 7Solve any One03

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(Sinx+cosec)^2+(cosx+sex)^2

=)Sin^2x+cosecx^2x+2sinx*cosecx+cos^2x+sec^2x+2cosx*secx

=)sin^2+2sinx*1/sinx+cos^2x+sec^2x+2*cosx*1/cosx

=)sin^2x+cos^x+sec^2x+cosec^2x+2+2

=)1+4+(1+tan^2x)+(1+cot^2x)

=)5+1+1+tan^2x+cot^2x

=)7+tan^2x+cot^2x.

Please hit a like if you find it useful

49.

Q1/2If -17x + 9y = 66 and -9x - 5y = 74,then x - y = ?

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Then X--y=2 is the right answer

50.

Q1.Find the value of V3-2ftuo sunnlem

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Value of sqrt(3^-2)

= (3^-2)^1/2

= (3)^-2/2

= (3)^-1

= 1/3