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.

STARS AND THE SOLAR SYSTE

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Facts that Matter

•Celestial Objects:Objects, such as the stars, the planets, the moon and many other objects, in the sky are called celestial objects.

•Phases of the Moon:The various shapes of the bright part of the moon as seen during a month are called phases of moon.

The moon revolves round the earth. It also revolves round the sun along with the earth. The various stages of the moon during a month are shown in Fig. 17.1.

In position 1, the part of the moon facing earth does not receive light from the sun.

Hence it appears dark. The other part of the moon that is facing away from earth is lit by the sun light. This position of moon, when it appears dark on earth is known as new moon.

In position 2, 3 and 4, we see the moon not as a full disc but as a cresent. Position 2 of the moon is known as cresent moon, Position 3 as first quarter and position 4 as Gibbous (bright part is greater than a semicircle) moon.

In position 5, the Sun's rays fall directly on the part of the moon facing earth. In this position we see the moon as a full disc of light. This position of moon is known as full moon.

2.

2Ramesh read 25 pages of a story book containing 100 pages. Suresh readof the same story book. Who read less? Give reasons.

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Ramesh read 25 pages while Suresh read 2/5 of 100 = 2 X 20 = 40 pages. So Ramesh read less.

give reasons

3.

If x.y=(x+y) then show that dy÷dx=y÷x

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4.

+ Sudhir read 45 pages of his story-book in the morning and 18 pages in theevening. How many pages did he read altogether?

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Number of pages he read in morning =45Number of pages he read in evening. =18 Therefore ,total pages he read altogether =45+18 =63

5.

ク 01 Ceļke38 bus and 25 bi7s

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6.

Show that2 represents a circle. Find its centre and radius.

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7.

25-01-201e angles of a triangle are in AP. The greatest angle is tuice the least. Find all theangles of the triangles.

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8.

FUT TT 히 (Let * be a binary operation on N, N being setof natural number defined by a * b = ab for all a, b e N.Verify * is associative and commutative on N.)

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9.

T&I(Let*beabinaryoperationonN,Nbeingsetof naturał number defined by ab a for all a, b E N.Verify * is associative and commutative on N.)

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hi

10.

y=A e^{-x}+B e^{n x}, \text { show that } \frac{d^{2} y}{d x^{2}}-(m+n) \frac{d y}{d x}+m n y=0

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11.

18. Two pipes A and B can separately ill a cistern in 60 minutes and 75 minutes respectively. There is apipe at the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, thenthirdhe cistern is full in 50 minutes. In how much time can the third alone empty the cistern?(a) 110 minutes(b) 100 minutes(c) 120 minutes(d) 90 minutes

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12.

२ गाना ।ind the HCF of 1260 and 7344 using Euclid's algori

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36 is the correct answer of the given question

13.

IfAdlagl a,b,c,], then prove that An-diag[ a", b", c",], for all n E N.

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14.

11. Two pipes A and B can fill a cistern in1 hour and 75 minutes respectively.There is also an outlet C. If all thethree pipes are opened together, thetank is full in 50 minutes. How muchtime will be taken by C to empty thefull tank?

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15.

O 01 UISL25. A tank can be filled with water by twopipes A and B together in 36 minutes.If the pipe B was closed after 30minutes, the tank is filled in 40minutes. The pipe B can alone fill thetank in(1) 45 minutes(2) 60 minutes(3) 75 minutes (4) 90 minutes(5) of these

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75 min is the best answer for this. sum

let(A+B)(A+B)fills 1 litre in 1 minutes then(A+B)(A+B)fills in 36 minutes = 36 litres

According to question

(A+B)(A+B)work only for 30 minutes then pipe filled by(A+B)(A+B)in 30 minutes is = 30 litres

remaining part =(36−30)=6(36−30)=6litres

6 litres part filled by A in =10 minutes

1 part filled by A=106106minutes

36 part filled by A =106×36106×3660 minutes

A+B=36A+B=36minutes

A=60 minutes

A's efficiency = 3 litres/minute

B's efficiency = 2 litres/minute.

B can alone fill the tank in

=T.CeffofB=1802=90T.CeffofB=1802=90minutes

75 minutes OK thankyou

90 minutes is the right answer of the following

75 minutes is the answer of this particular question

4 is the answer of these questions

16.

15 Urni used to travel 75 minutes to her office by bus. Shestarted car pooling with her colleagues and the travel timereduced by 25 minutes. What is the per cent of decrease intravel time?

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percentage decrease = 75-25/75

= 50/75

= 0.66%

17.

H is a Lewis base. Give reason.

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ALewis baseis an electron-pair donor. Because theLewis basedonates electrons, we can also say that it is a nucleophile, which is a substance that behaves as an electron donor.

So, when we look at anacid-basereaction, theLewis basedonates a pair of nonbonding electrons to the acid.

Lewis base is a substance that can donate an electron pair. those species that have a lone pair always form Lewis base so H^- is a lewis base as it possess a lone pair and can donate it.

18.

17. A die is thrown twice. What is the probability of getting (i) The Sum of 7; (ii)The sum of greater than 10; (ii)5 will not come up either time

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19.

17. A die is thrown twice. What is the probability of getting: (i) The Sum of 7; (i)The sum of greater than 10; (ii) 5 will not come up either time.

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20.

Given that HCF of 1260 and 1650 is 30. Find the LCM of 1260 and 1650.

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21.

1260 min. =

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This is equal to 75600 seconds

formula?

Multiply by 60....

22.

5. After reading o of a book, 40 pages are left. How many pages are there in the book79

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Thanks sir

23.

1. The process of farming organisms from the sea is

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The process of farming organisms from the sea is called mariculture.

24.

Find the probability of getting 5 exactly twice in 7 throws of a die.

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25.

Two dice are thrown together. What is theprobability of getting a doublet?

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There are a total of 36 possibilities :

{ (1,1), (1,2), (1,3), (1,4), (1,5),(1,6) (2,1)(2,2)… …..(6,5) (6,6)}

The doublets among these are (1,1), (2,2),(3,3)(4,4),(5,5),(6,6)

So the probability of getting a doublet is :

No. Of doublets / total no. of outcomes =6/36=1/6

26.

If two dice are thrown together, what is theprobability of getting a sum of 7?

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Probability = possible outcomes/ total outcomes

when a single die is thrown the number of outcomes is 6^1

when two dice are thrown the number of outcomes is 6^2

In throwing two dice the favorable cases of getting the sum as 7 are: (1, 6), (6, 1), (2, 5), (5, 2), (3, 4), (4, 3).

Therefore, the required probability is 6/36 or 1/6.

The dice quantity = 2(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)Probability= 1+6=7 2+5=7 3+4=7 4+3=7 5+2=7 6+1=7So,answer=6/36 1/6

27.

11. Find the probability of getting 5 exactly twice in 7 throws of a die.

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28.

sAchebought a pen for 23.75 after getting 5% discount on it. What is its list price?

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29.

A consignment of fooder feeds 1260 cattle for 50 days.(a) How long the fooder will feed if 315 more cattle are added ?(b) How many cattle should go if it is to last for 75 days?

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30.

A farmer has enough food to feed 20 animals in his cattle for 6 days. How lonwould the food last if there were 10 more animals in his cattle?

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31.

6. After reading o of a book, 40 pages are left. How many pages92

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32.

LLLLLLLL5.farmer has enough food to feed 20 animals in his cattle for days. How lowwould the food last if there were 10 more animals in his cattle!

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Let the number of days be x.

Given that he has enough food to feed 20 animals in his cattle for 6 days.Later on, 10 more animals were added.

Therefore the number of days required to feed 30 animals:

20 * 6 = (20 + 10) * x

120 = 30 * x

x = 120/30

= 4.

Therefore the number of days = 4.

20*6=(20+10) *a120=30*aa=120/30a=4

33.

10. After reading of a book, 40 pages are left. How many pages there in the book?

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34.

Railway fare for 82 km is164. Find the fare for 66 km.unt will she s

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Like my answer if you find it useful!

35.

16.If a dice and a coin are thrown together what isthe probability of getting a '5' and tail ?

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Consider all possible events and count them1 T2 T3 T4 T5 T6 T

1 H2 H3 H4 H5 H6 H

Here the likely events are 1 and total events are 12, which means the probability is 1/12

36.

18. If a ludo-dice is rolled once, then what isthe probability of getting 5 or less thanthat?

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Probability = possible outcomes / total outcomes

Total outcomes = 6For getting number 5 or less than 5Possible outcomes = 5

Therefore, probability of getting a number 5 or less than 5 = 5/6

37.

n a fair price shop in a weekFind the arithmetic mean of the sales per day in a fair price sh210000, t.10250, r. 10790, .9865, t.15350, R.10110

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10000+10250+10790+9865+15350+10110/6

= 66365/6

= 11060.83

38.

4. Rahul covers a distance from P to Q on bicycle at 10 km/h and returns back at 9 km/h.Anuj covers the distance from P to Q and Q to P both at 12 km/h. On calculation wefind that Anuj took 10 minutes less than Rahul. Find the distance between P and Q

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39.

11) Jill sold half of her comic books and thenbought sixteen more. She now has 36. Withhow many did she begin?

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Loe the no of books she had initially = x

x/2 + 16 = 36

x/2 = 36-16

x/2 = 20

x = 40

Like my answer if you find it useful!

40.

Mohanrao took 10 days to finish a book,reading 40 pages every day. How manypages must he read in a day to finish itin 8 days?2.

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No. Of pages in the book=10×40=400 pages

Now, let the no. Of pages he should read be x.8×x=400x=400/8x=50 pages

41.

Length of19m6) Two wind mills of height 50 m and 40 m are on either side of the field. A personobserves the top of the wind mills from a point on the ground in between thetowers. The angle of elevation was found to the 45 in both the cases, find thedistance between the wind mills.

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what was the argument between the wind and the sun

42.

9. Make 5 problems getting probability using dice, cards or birthdays and discuss withendsand teacher about their solutions.

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Question 1:A die is rolled, find the probability that an even number is obtained.SolutionLet us first write thesample spaceS of the experiment.S = {1,2,3,4,5,6}Let E be theevent"an even number is obtained" and write it down.E = {2,4,6}We now use the formula of theclassicalprobability.P(E) = n(E) / n(S) = 3 / 6 = 1 / 2

Question 2:Two coins are tossed, find the probability that two heads are obtained.Note:Each coin has two possible outcomes H (heads) and T (Tails).SolutionThe sample space S is given by.S = {(H,T),(H,H),(T,H),(T,T)}Let E be the event "two heads are obtained".E = {(H,H)}We use the formula of the classical probability.P(E) = n(E) / n(S) = 1 / 4

Question 3:Which of these numbers cannot be a probability?a) -0.00001b) 0.5c) 1.001d) 0e) 1f) 20%A probability is always greater than or equal to 0 and less than or equal to 1, hence onlya)andc)above cannot represent probabilities: -0.00010 is less than 0 and 1.001 is greater than 1

Question 4:Two dice are rolled, find the probability that the sum isa) equal to 1b) equal to 4c) less than 13Solutiona) The sample space S of two dice is shown below.S = { (1,1),(1,2),(1,3),(1,4),(1,5),(1,6)(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)(6,1),(6,2),(6,3),(6,4),(6,5),(6,6) }Let E be the event "sum equal to 1". There are no outcomes which correspond to a sum equal to 1, henceP(E) = n(E) / n(S) = 0 / 36 = 0b) Three possible outcomes give a sum equal to 4: E = {(1,3),(2,2),(3,1)}, hence.P(E) = n(E) / n(S) = 3 / 36 = 1 / 12c) All possible outcomes, E = S, give a sum less than 13, hence.P(E) = n(E) / n(S) = 36 / 36 = 1

Question 5:A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head.SolutionThe sample space S of the experiment described in question 5 is as followsS = { (1,H),(2,H),(3,H),(4,H),(5,H),(6,H)(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)}Let E be the event "the die shows an odd number and the coin shows a head". Event E may be described as followsE={(1,H),(3,H),(5,H)}The probability P(E) is given byP(E) = n(E) / n(S) = 3 / 12 = 1 / 4

43.

Vhat type of roots does the equation/ x2 + 5x +-= 0have?

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x² + 5x + 1/5 = 0

Discrimanat = b² - 4ac

5² - 4 × (5) × 1/5

25 - 4

21 > 0

Roots are real and distinct

thank you so much

44.

2 Prove that the locus of the midpoint of the portion of the line xcos a + y sin a p which isintercepted between the axes, given that α is variable, is-+--

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45.

Vhat should be subtracted fromبا این

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-3/2 is the correct answer of the given question

46.

A(0,0), B (2,1),C(3, 0); given that . wgormThvo consecutive side ofa paralis 11x+7y-9. Find the equation of the other diagonalзе·are4x+Sy-0 and 7x+2y-O. If the equation ta ose dingnf semmon length e slide upon the fixed

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how u find the value of x and y please tell it's urgent

47.

9A football was kicked 5 m in the forward direction The opposite team kickedback. Find the total change in the distance from the original position.

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total change is -1 m Or 1m backwards

original position is zero, 5m-6m=-1m backward from original position.

total change is -1 metre backwards

48.

33. A variable line moves in such way that the product of thed (0, 0) is equai k2. The locusof the feet of the perpendicular from (0, 0) upon the vari-0 able line is a circle, the square of whose radius is (Given :perpendiculars from (a, 0) arn

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49.

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

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By applying the formula ,

M1 * D1 / W1 = M2 * D2 / W2

M-> MEN , D-> DAY , W-> WORK

therefore,

20 * 6 / 56 = 35 * 3 / W2

120 / 56 = 105 / W2

Answer -> W2 = 49.

धन्यवाद

50.

on selling a racket for 6510 anvar losses 7%.For how much should he sell it to gain 8%.

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7 percentage loss means (100-loss percentage)93 percentage is equal to = 6510and he wants to gain 8 percentagemeans (100+8) 108 percentagenow he wants to know the value of 108 percentage