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.

9. Find two numbers such that one of them is five times the other and their difference is 132. The sum of two consecutive even numbers is 74. Find the numhers

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thanks

2.

120033. Solve:+2 10)-1200 60.

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3.

From a point T on the tangent at P, tangents TQwoiawn to the circles with points of contact Q and R respectively. Prove that TQ TR.

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circle draw kase hoga

4.

. Jp| qand t is the transversal in the givenfigure. Find the values of X, y and z.13133A.B.

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x = 133°

y = 133°

z = 133°

5.

4. The sum to oo of the series -5, 25,-125, 625,...canbe written as(a)Σ (-5) kk-1(b) Σ5kΣ_5k(c)

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option A because whenever you increment with one, for even no. it becomes positive integer and when it's odd it becomes negative integer.this is satisfied only by optionA.

what you min

6.

fx-2 and x =-3 are roots of the quadratic equation ax2 + 7x + bvalues of a and b.0, find the

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7.

If jand-3 are the two roots of the quadratic equation ax2+7x+b-0, then let me calculatethe values of a and b

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8.

35 Ing0.598c-.5+ and beat them fried out

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9.

1. If 20 men can build a wall 56m long in 6 days,what length of a similar wall can be built by 35men in 3 days?

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Let the required length be x meters

More men, More length built (Direct proportion)

Less days, Less length built (Direct Proportion)

Men20:35 }Days6 : 3 } ⋮⋮ 56 :x

=> (20 x 6 x X)=(35 x 3 x 56)

=> x = 49

Hence, the required length is 49 m.

(20×6× X)=(35×3×56)=49how will come

10.

x The area of a trapezium is 248 sq m and its height is 8m. If one of the parallel sides is smallerthan the other by 4m, find two parallel sides.

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11.

There are 50 students in a class I 24 of them are boys, find the ratio of boys to

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Total students =50Boys=24Girls=16Ratio=24:16=3:2

total no of students=50and the boys are 24then girls are 50-24=16ration of bous to grl is 24 /16=3:2.

total students =50Boys = 24Girls = 16ratio= 24:16=3:2ratio of the boys and girls = 3:2

Total students=50Boys=24Girls=16{Ratio=24:16=3:2

total=50boys=24girls=50-24=26ratio of boys to girls=26:24=13:12. ans.

12.

Fig. 20.234 A playground has the shape of a rectangle, with two semi-circles on its smaller sidesas diameters, added to its outside. If the sides of the rectangle are 36 m and 24.5 m,find the area of the playground. (Take -22/7)4. A rectangular piece is 20 m long and 15 m wide. From its four corners, quadrants ofradi 3.5 m have been cut. Find the area of the remaining part.

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13.

Fig.4.169. Smaller diagonal BD of a quadrilateral ABCD is perpendicular to the sides AB and CDProve that AC2-BD 4AB.

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14.

4+5-2=3310+12-5=1196+8-3=?

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4² + 5² - 2³ = 3310² + 12² - 5³ = 119 6² + 8² - 3³ = 73

thanks

15.

um of five consecutive even numbers is 250. Sum of theargest number and square of the smallest number will beUttranchal Gr. Bank Ci. 20111

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Let terms are n-4, n-2, n, n+2 , n+4

Sum=n-4+n-2+n+n+2+n+4250=5nn=250/5=50

Sum of largest number and square of smallest number=n+4+(n-4)²=50+4+(50-4)²=54+46²=54+2116=2170

16.

1f4 + 5-2=33 and 10 + 12-5=119then 6 + 8-3 =

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If 4+ 5 - 2 = 33 and 10 +12 - 5 = 119

Then6 + 8 - 3 = (10 +12 - 5) - (4 + 5 - 2) = 119 - 33 = 86 ans

17.

49. A child puts one five-rupee coin of her savings in the piggy bank on thefirst day. She increases her saving by one five-rupee coin daily. If thepiggy bank can hold 190 coins of five rupees in all, find the number ofdays she can contribute to put the five-rupee coins into it and find theICBSE 2017)total money she saved

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Money added to money bank on first day = rs 5 on second day = rs 10 0n third day = rs 15

and so on n = 190

thus

AP = 5, 10. 15, ...........195

thus a =5 d =5 n= 190

Thus S = n/2[2a+(n-1)d] = 95[ 10 + 189*5] = 90725

thus total money is 90725 Rs

wrong solution

18.

Fig. 10.55circles touch externally at a point P. From a point Ton the tangent at P, tangents TQTRare drawn to the circles with points of contact Qand R respectively. Prove thatTR.Fig. 10.56

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19.

A child puts one five-rupee coin of her savings in the piggy bank on thefirst day. She increases her saving by one five-rupee coin daily. If thepiggy bank can hold 190 coins of five rupees in all, find the number ofdays she can contribute to put the five-rupee coins into it and find theCBSE 2017total money she saved.

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you are looser and.86856"*+5-.=6'"-/9

20.

Obtain all the zeroes ofx^4-3x^3-x^2 +9x-6 if two of its (√3) and (-√3)

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21.

Savita has t 27 in the form of fifty paise and twenty-five paise coins. She hastwice as many twenty-five paise coins as she has fifty paise coins. How many coinsof each kind does she have ?

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22.

1. Find the product of:(i) 4x3 and-3x

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(4x)^3(-3x)=-12x^4

23.

1. The sum of the digits of a two-digit numher is 9. The number is 6 times the units digit. Find the numiber.

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thanks

24.

A train of length 150 metres takes 10seconds to pass over another train 100metres long coming from oppositedirection. If the speed of the first trainis 30 kmph, the speed of the secondtrain is

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Let speed of the other train = S m /sec.

Speed of the first train = 30 kmph = (30 *5)/18 = 8.33 m/sec.

Relative speed = (8.33 + S) m/sec.

With this relative speed train needs to be covered (150 + 100) m in 10 seconds.

So,ST = D(8.33 + S) * 10 = 250(8.33 + S) = 25S = 16.67 m/sec

Speed = 16.67 m/sec = (16.67 * 18)/5 = 60 kmph.

25.

The train is 150 m long and the platform at the station is 285 metres long, ,how far does the train travel in crossing the platform?

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Before the front of the train enters the platform, distance travelled equals to 0.

Then the front of the train enters the platform and afterwards leaves the platform, at which moment distance travelled by the train is equal to length of platform = 285 meters.at this moment, the end of the train has not yet crossed the platform and the front has just crossed the platform.

For the end of the train to cross the platform, it still needs to travel distance equal to the length of the train which is equal to 150 metres.

So, total distance travelled= 285+150= 435 metres.

26.

. A train 300 metres long is running at a speed of 25 metres per seeond. It wilbridge 200 metres long in

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27.

7. If 10 men can reap a field in 10 days, then 20 men will reap the field in:

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10 men can reap in 10 days so 20 men can reap in 10×10/20=100/20=5 days.

28.

udsag. HoW old is Rahim today?19. A bag contains 25-paisa and 50-paisa coins whose total value is 30. If the number of25-paiša coins is four times that of 50-paisa coins, find the number of each type of coins.20. Five times the price nf a nen isIT

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29.

If 9 men and 12 boys can do a piece ofwork in 4 days and 4 men and 16 boyscan do the same piece of work in 6 days,how long will 6 men and 24 boys take tocomplete the same work?

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30.

the sUT UN O aru a 153, en hulle duuiLVE VLIOA submarine was 5827 m below sea level. If it ascends 2200 m, what is its new position?

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31.

Split 69 into 3 parts, which are in А.Р. and the product oftwo smaller parts is 483.

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Let the first term of the AP be 'a'And the common difference be 'd'Since 69 split into 3 parts such that they form an AP.Let the three parts be (a - d), (a) and (a + d).Therefore,(a - d) + (a) + (a + d) = 693a = 69a = 23The product if two smaller parts = 483So,(a)× (a - d) = 48323× (23 - d) = 483⇒ 529 - 23d = 483⇒ - 23d = 483 - 529⇒ - 23 d = - 46⇒ d = 46/23⇒ d = 2Therefore,The 3 parts are 23 - 2 = 21 ;23and 23 + 2 = 25Hence the parts of the given AP are21, 23, 25

32.

Find the median of the following data.C.1. | 0-20 |20-40|40-60 | 60-80 | 80-100|100-120|120-140681012653

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33.

. The 11th term and 31th term of an A.P are 25 and 65 respectively. Find the nth term of the AP

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a(11) = a + 10d = 25 ....(1)a(31) = a + 30d = 65 .....(2)eq (2) - eq(1)40 = 20dd = 2a + 20 = 25a = 5a(n) = a + (n-1)d = 5 + (n-1)2 = 5 + 2n -2 = 2n+3

34.

01. The area of two similar triangles is 16 cm2 and 25 cm2 respectively. Find the rauo of thercorresponding altitudes

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35.

terrmThe sum offour consecutive numbers in an AP is 32to the product oftwo middle terms is 7:15. Find the numbers28.and the ratio of the product of the first and the last

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Solution:-Let the four consecutive numbers in AP be (a - 3d), (a - d), (a + d) and (a + 3d)So, according to the question.a-3d + a - d + a + d + a + 3d = 324a = 32a = 32/4a = 8 ......(1)Now, (a - 3d)(a + 3d)/(a - d)(a + d) = 7/1515(a² - 9d²) = 7(a² - d²)15a² - 135d² = 7a² - 7d²15a² - 7a² = 135d² - 7d²8a² = 128d²Putting the value of a = 8 in above we get.8(8)² = 128d²128d² = 512d² = 512/128d² = 4d = 2So, the four consecutive numbers are 8 - (3*2)8 - 6 = 28 - 2 = 68 + 2 = 108 + (3*2)8 + 6 = 14Four consecutive numbers are 2, 6, 10 and 14

36.

10. 541 +52-1-51 को हल करे

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5^x+1 + 5^2-x = 5^3 + 1Now, on comparingx + 1 = 3. and. 2 - x = 1x = 2. x = 1

37.

Sum and product oftwo zeroes ofx'-4x3-8x2 + 36-9 are 0 and-9 respectivelyFind the sum and product of its other two zeroes.

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38.

S. Oftwo numbers, the first nomber is five times the second When 21 is added to each mumber, the first numher becoemstwo times thesecond number. Find the numbers

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let the no.s be x and y

ATQ=> x = 5y ......(1)

when 21 added to both then

=> (x+21) = 2(y+21)....(2)

now putting the value of x in the 2nd equation=> 5y +21 = 2y+42=> 5y-2y = 42 -21=> 3y = 21=> y = 21/3 = 7

and x = 7*5 = 35.

39.

9.Find the biggest number that divides 47,77 and 89 leaving the remainder 5 in each case

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47 = 1×4777 = 11×789 = 1×89

so, H.C.F of these will be 1

now add 5 to this number =1+5 = 6 is the number

40.

On dividing 2x 4x 5x+ 7 by g(x) the quotient and remainder are 2xand 7-5x respectively, Find gio)

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41.

Akshaya has 2 rupee coins and 5 rupee coins in her purse. If in alltotalingが220, how many coins of each kind does she have.she has 80 coins

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Suppose x 2 rupee coins and y 5 rupee coins x + y = 80 2x + 5y = 220 2x + 5y - 2x - 2y = 220 - 160 3y = 60 y = 20 x = 60

thanks bro

42.

io. 10.39. A. B, C and D are four points on aand BD intersect at a point E suchEC 1309 and ECD 20 FindFig. 10.38ACanthatBAC130

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43.

9. The length and the breadth of a rectangular park are in the ratio s: 5. A path 1.5 m wide, running allaround the outside of the park has an area of 594 m2. Find the dimension of the park.8x1.5 m5xh and hrradth of the plot be 8x and 5x metres respectively. Then

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Let length of park = 8xbreadth of park = 5x

Area of park Ap = 8x*5x = 40x^2 Area of region including path Ao = (8x + 3)*(5x + 3)

Area of path = 594 m^2 Ao - Ap = 594(8x + 3)(5x + 3) - 40x^2 = 59440x^2 + 39x + 9 - 40x^2 = 59439x = 594 - 939x = 585x = 585/39 = 15

Dimension of park:Length = 8x = 8*15 = 120 mBreadth = 5x = 5*15 = 75 m

44.

Akshaya has 2 rupee coins and 5 rupee coins in her purse. If in all she has 80 coinstotalling ? 220, how many coins of each kind does she have.

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Let the number of 2 rupee coin be x and the number of 5 rupee coin be y.

x + y = 80 . . . . . (1)2x + 5y = 220 . . . . . (2)

(1) × 5

5x + 5y = 400 . . . . . (3)

(3) - (2)

3x = 180=> x = 60

Substituting x in (1),

60 + y = 80=> y = 20

Therefore,

Number of 2 rupee coins = 60Number of 5 rupee coins = 20

Recheck:

20 + 60 = 802(60) + 5(20) = 120 + 100 = 220

Total money= Rs220Total no of coins= 80 x + y = 80 2x + 5y = 220Use diophantine equation x=60 y=202×60=rs1205×20=rs100rs100+rs120=rs22020+60=80coinsAns) Abhraya has 60 2rupee coins and 20 5 rupee coins in her purse.

45.

८ Ahe 20० ली थे —e e J3-JR SV

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denominator is √(2)+√(7)-√(5)

46.

A man has only 20 paisa coins and 25 paisa coins in his purse, If he has 50 coins in all totaling11.25, how many coins of each kind does he have.

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47.

find Ahe remcinder when2

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48.

cubical black ofindAhesolid

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49.

CLascending-oodet'-

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50.

If 30men can reap a field in 14 days, in how many days will 20 men reap it?

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If 30 men can reap a field in 14 daysOne man can reap a field in 30*14 = 420 days

Then, 20 men can reap a field in420/20 = 21 days