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.

v)Evaluate Szoszatasin 2x dx.11 TA

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2.

Q2. In automobile mileage and gasoline-consumption testing, 13 automobiles were road testedfor 300 miles in both city and highway driving conditions. The following data were recorded formiles-per-gallon performance.City: 16.2, 16.7, 15.9, 14.4, 13.2, 15.3, 16.8, 16.0, 16.1, 15.3, 15.2, 15.3, 16.2Highway: 19.4, 20.6, 18.3, 18.6, 19.2, 17.4, 17.2, 18.6, 19.0, 21.1, 19.4, 18.5, 18.7Prepare a continuous frequency distribution for the same and then obtain mean, variance andcoefficient of variation.

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2iusbdbjDbd hiv a vRu rd dii4h

3.

(A) 3(D)(2) (va) =Lasa (B.(3) 642(A) 32 (B)(4) 0 001

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4.

A shopkeeper allows a discount of 15% andstill makes a profit of 20%. Find the markedprice of a cell-phone which costs Rs 4,590 tothe shopkeeper..

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It is correct answer. Thank you for help me.

5.

The first newspaper in India

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Hickey's Bengal Gazettewas an English newspaper published from Kolkata (then Calcutta), India. It was the first major newspaper in India, started in 1780.

6.

Teresse uses gallon of milk for one batchof hot chocolate. If she used i gallon ofmilk this morning, how many batches ofhot chocolate did she make?Simplify your answer completely.

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For one batch she used 1/2 so in 1/2 one batchin 1 gallon =2 batchso in 3/4=3/2=1.5 batches

7.

the remaining 12 passengers were taken to station Z, find theThe price of a commodity rose by 10%. By what percent should a lady reduce her consumption so taher expenditure does not increase?15,original number of passengersSolution

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= (10/100+10)*100

= (10/110)*100

= 100/11

= 9.09%

8.

Nowit) vtel eta) sial afw manty diagonals are there in a potygou having 19sib) a(b) ia(b) 94(b) 8How many diagstals are there in an octagpn "e) ina) 12Polygot, has 27 diagonalte) aeHow many sides does it hea) z

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The number of diagonals in a polygon = n(n-3)/2

1. For a Pentagon, n=5diagonals= 5 x 2/2=5

9.

x, y and z.5, In the adjoining figure, what value of x willmake AOB, a straight line?(3x+20) / (4x-36)A o

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what is the formula of compound interest

10.

6. The radius &height of a cy linder are in the ratio 5:7 & its volume is 550 cm. Find its radius(7 22/7)

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11.

The circumference of the base of a right circular cylinder isSl en fi the height of the oyinderiind the latoral surface area of the cy linder

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12.

Answer any 6 questions from 1 to 7. Each carries 3A = {5, 6, 7, 8} B = {1,3,5,7,9} Findi) AUBii) ABiii) A-Biv) B-AIn a class of 50 students, 25 are joined in science cl1.1. TI

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1) AunionB={1,3,5,6,7,8,9}2)A intersection B={5,7}

I) 1,3,5,6,7,8,9. 2)5,7. 3)6,84)1,3,9 is the correct answer.

1)1,3,5,6,7,8,92)5,63)6,8is the right answer

i) 1356789ii)57iii)68iv)139

are the right answer

1,AunionB={1,3,5,6,7,8,9}2,A intersection B={5,7}3 is the best answer

A union B={1,3,5,6,7,8,9}A intersection B={5,7}A minus B={6,8}B minus A={1,3,9}

1) 13567892) 573) 684) 139

(I){1,3,5,6,7,8,9}(ii){1,3,6,8,9}(iii){6,8}(IV){1,3,9}

1,3,5,6,7,8,95,7 6,8 139

A U B= 1 , 3,5,6,7,8,9

1,3,9 is ryt answer 5,7 intersection

1) AunionB=(1,3,5,6,7,8,9,)2) AintersectionB=(5,7)is correct answer.

13.

Express the following as ratio(a) 25%

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25% = 25/100= 1/4is the answer

14.

express the following as powers of rational numbers: 1/25

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15.

Find the principal solutions ofcos.x2

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16.

D Find the principal solutions of theequationsCosi 7

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cosx=1/2x=cos^-1(1/2)x=cos^-1(cosπ/3)

Here both cancels with each other because π/3 belongs to [0,π]

Thus x=π/3

17.

(c) Rekha recorded 3275 songs. Of these, 2138 were Hindi songs,573 were Marathi andthe rest were Bengali. How many Bengali songs did she record?57

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18.

Ex. 3Find the principal solutions of cot-3.

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19.

Ex. 3Express 25% in fraction.

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25%=25/100=1/4=0.25

20.

EX. 3 : 1/10^4 is(A) 0.01

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21.

The shadow of a tower at sometime of the day is three times as long as shadow of thetower, when the angle of elevation of sun is 60°. Find the angle of elevation of the sunat the time of longer shadow.

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22.

of the tower from the point A.On a horizontal plane there is a vertical post with a flagpole on the top of the poAt a point, 9 metres away from the foot of the post, the angle of elevation ofttop and bottom of the flagpole are 60° and 30° respectively. Find the height ofpost and the flagpole mounted on it.13.l an aither side of a road which is 150 m w

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23.

AR T Tp bl W b adl) है की हद कह 8 १४ ८ 0०

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Step 1: Take the LCM of given numbers. LCM of (1, 2, 3, 4, 5, 6 and 7 ) = 420

Step 2: Divide 10000 by 420, in which the value comes nearest to 10000 When 420 is divided by 23, it gives a remainder of 340

Step 3: Subtract 340 from 10000 = 10000 - 340 = 9660 Therefore, 9660 is the first number which is nearest to 10000 and divisible by 1, 2, 3, 4, 5, 6 and 7.

Step 4: Multiply 420 by 24 to get the second nearest number 420 * 24 = 10080 Therefore, the two numbers are 9660 and 10080

24.

13. PQ is a chord of length 4.8 cm ofacircle of radius 3 cm. The tangents at Pand Q intersect at a port T as shown、in the figure. Find the length of TPT

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25.

4 A coin is tossed. What is the probability of getting a tailc) 2D) 05 Inthe following fig,LAOB and LBOC areA.о сsupplementary arireA) complementary anglesc) adjacent anglesD) ofthese6 The value of 1m2A) 10cm2100 m2 c) 1000cm2 D) 10000cm10cm' ar 1oo7 Find the values of the expression a'+b for a-1, b-0A) 1B) 041D) 4

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26.

Find Aho ana .し19S9 ,

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27.

50x20x3/2- 3000 x1.414 4242 mExercise 4.11. Using Heron's formula, find the area of a triangle whose sides are(i) 10 cm, 24 cm, 26 cm(ii) 1.8 m, 8 m, 8.2 m

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i) a =10 cm , b = 24 cm and c = 26 cm. ∴ s = (a + b + c )/ 2 s = (10 + 24 + 26) / 2 = 30 cm. By Heron’s formula Area = √(s(s-a)(s-b)(s-c) = √30*(30-10)*(30-24)*(30-26) = √30*20*6*4 = √14400 = 120 ii) a =1.8 cm , b = 8 cm and c = 8.2 cm. ∴ s = (a + b + c )/ 2 s = (1.8 + 8 + 8.2) / 2 = 9 cm. By Heron’s formula Area = √(s(s-a)(s-b)(s-c) = √9*(9-1.8)*(9-8)*(9-8.2) = √9*7.2*1*0.8 = √51.84 = 7.2 Like my answer if you find it useful!

28.

A car travels 39 km in 26 minutes. How long will it take to cover a distance of 225 km travellingnon-stop at the same speed?

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29.

3. A circus tent is cylindrical to a height of 4 m and conical above itdiameter is 105 m and its slant height is 40 m, find the total area of tacanvas required.

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30.

6, A circus tent is cylindrical to a heightof 4 m and conical above it. If itsdiameter is 105 m and its slantheight is 40 m. Find the total area ofthe canvas required (in m)

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31.

sleABC, whose perimeter is 13 cmand whosehe ratio 3:4:5

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32.

Given that in an AP D=5, s9=75 find the value of A9.

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s9=(9/2)*(2a+(9-1)D)75=(9/2)*(2a+8(5))150=9*(2a+40)50/3=2a+4050/3-40=2a-70/40=2aa=-35/40a9=a+8D=-35/40+8(5)=-35/40+40=(-35+160)/40=125/40=25/8

33.

: 12. The ratio of the number of Hindi books to the number of English bogks ex3: 2. If there are 3801 Hindi books, how many English books are there in thepee

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Hindi:English=3:2now Hindi books are book=3081so English books are=(3081×2)/3=2054

34.

18e In a seminar, the number of participants in Hindi, English and Mathematies are 60, 84 and 108respectively. Find the minimum number of rooms required if in each room the same number ofparticipants are to be seated and all of them being in the same subject.

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35.

inar,thenumberofparticipantin Hindi, English and Mathematics are 60, 845. In a08 respectively. Find the minimum number of rooms required if in each room the s1number of participant arber of participant are to be seated and all of them being in the same subict

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36.

4. In a grocery shop, there are 590 bags of wheat flour, 5917 bags of rice and 2373bags of sugar. Find the total number of bags in the grocery shop.

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In Grocery shop. 8880 bag's are there

wheat bags-590rice bags -5917sugar bags-2373total bags-8880

37.

places a&b are 80 km away from each other.a car starts from A and another from B.if they move i n same direction. they meet in 8 horrs.if they move in opposite direction they meet in 1 hour20 min.find their speed

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Let the speed of the first car which

starts from A = x km /hr

Speed of the second car which starts

from B = y km / hr

We know that,______________________Time = distance / speed______________________

Distance between two places A and

B are 80km

d = 80 km

i ) if the cars move in same direction

Relative speed of them = ( x + y )

km/hr

Time = 8hr

d = 80km

8 = 80 / ( x + y )

x + y = 80 / 8

x + y = 10 ------( 1 )

ii ) if two cars moving opposite

direction,

Relative speed = ( x - y ) km / hr

Time = 1 hr 20 minutes

= ( 1 + 20 / 60 ) hr

= ( 80/60)

= 4/3 hr

d = 80km

4/3 = 80 / ( x -y )

x -y = ( 80 × 3 ) / 4

x - y = 60-----( 2 )

Add ( 1 ) and ( 2 ) , we get

2x = 70

x = 35

Put x = 35 in ( 1 ) we get ,

y = 25

Therefore ,

Speed of the first car = x = 35km/hr

Speed of the second car = 25km /hr

38.

A circus tent is in the form of a cylinder surmountedby a cone. The maximum and the minimum heightof the tent are 85m and 50 m respectively. If thediameter of the base is 168 m, find the quantity ofthe canvas required to make the tent. Allow 20%for folds and the stitching. | Take π=22/7)

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39.

7. Two cars are 225 km away from each other. If they travel at a speed of 40 km/h and 35lkmbtowards each other, after how many hours will the cars meet each other?

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Distance=225 km

relative speed=40+35=75km/hr

Thus, time taken to meet them= 225/75

= 3 hr.

40.

2. A conical shaped circus tent of base radius 70 m and height24m. How much cloth required to construct this tent.

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Given,Radius of cone r = 70 mHeight of cone h = 24 mLet slant height of be l

Then,l^2 = r^2 + h^2l^2 = 70*70 + 24*24l^2 = 4900 + 576l^2 = 5476l = 74 m

Curved surface area of cone= pi*r*l= 22/7*70*74= 220*74= 16280 m^2

Therefore, length of cloth required = 16280 m^2

41.

A circus tent is cylindrical to a height of 3 m and conical above it. If the base radius is 52.5 mand slant height of the cone is 53 m, find the area of canvas required to make the tent.

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42.

4. in the adjoining figure, ABCD is aparallelogram in which A=60. If thebisectors of ZA and ZB meet DC at Pprove that (i) <APB = 90°, (ii) AD-DP andPB PC = BC, (iii) DC = 2AD.

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43.

In a AABC, the internal bisector of B and ZC meet at P and theexternal bisectors of 2B and 2C meet at Q. Prove thatLBPC+ LBQC-180%(c)

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44.

a) Metal which is very soft and can be cut by knife.b) Metal which is liquid at room temperature.c) Metal which is best conductor of electricity.Element which shows catenation property.

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metal which is best conductor of electricity.. option "c"

45.

Pthen,2ence, the numbers are 21,4. Find four numbers forming a GP. in which the third term is gterm by 9 and the second term is greater than 4 term by 18.L. Let the four terms of G.P. be a, ar,ar2,arven:

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Let the first term be a and the ratio r.

The four terms then are a,ar,ar^2 and ar^3

given , ar^2 = a + 9 ….(1) and

ar=ar^3+18 …. (2)

from (1), a*(r^2–1)=9…(3)

from (2), ar(r^2–1)=-18..(14)

(3)/(4) gives r=-2

substituting this in (1) 4a=a+9=>a=3.

So the terms are 3,-6,12,-24

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46.

32.) The 24th term of an A.P. is twice its 10th term. Show that 72nd term is 4 times its15th term.

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47.

24. The common difference of the A.P. can be(A) positive(C) zero(B) negative(D) all the above

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Thecommon difference canbe positive,negativeor 'zero'. The English definition of the word 'progression' has nothing to do with the mathematical definition ofarithmetic progression.

The answer is option D

48.

A) 80B) 4If 4 A.M's are inserted between 3 and 33, then their common difference isC) 3

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Let the 4 arthmetic means be a1, a2, a3, a4. The total number of terms in series is 6

The AP is 3 , a1 , a2 , a3 , a4 , 33

t6 = 33

a + (6-1)d = 33

3+(5)d = 33

5d = 33-3

5d = 30

d = 30/5

d = 6

Therfore, common difference is 6

49.

There are 40 students in a class. Their result is as follows : 30 students have passed and 10 have failedind the probability that a student has passed the examination.

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total students in the class=40passed students=30probability=30/40 =3/4

the answer is 3/4 or 0.75 according to formula no of favourable outcome upon no of total outcome

50.

der the following parallelograms. Find the values of the unknowns x, y, z.40°11280%. The measures of two adjacent angles of a parallelogram are in the ratio 2: 3. Find themeasure of each of the angles of the parallelogram.5. In the given figure WHEN is

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write the measure of 65