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.

Find the variance of the number obtained on a throw of an unbiaseddie.6

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2.

Square roots of 4356

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We can write4356 as4356=2×2×3×3×11×11we took comman and so root of 4356 is 2×3×11=66

3.

square roots of the(ii) 400

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4.

Find the square roots(i) 729

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729 = 3 * 3 * 3 * 3 * 3 * 3 √729 = √3 * 3 * 3 * 3 * 3 * 3 = 27

5.

23. Compute the square roots of Z--1-i

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6.

. How many 3 digit even numbers can be forned from the digits 1,2.3,4.5,6ifdieits ean he repeated?formed using the first 10 letters of the Engl

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7.

1A sum of money was distributed among 4 people in theratio 3:4:6:7. If the first person gets Rs. 1800. find theshares of the other three people.

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3X=1800x=600the share of three people are4×600=24006×600=36007×600=4200

the share be 3x,4x,6x 7xgiven 3x=1800 x=600the share of three people are4×600=24006×600=36007×600=4200

Let the ratio factor be X. Amount 4 people get = 3X, 4X, 6X, 7X.

since 1st people get 1800 Rs.

3X = 1800

X = 600

ER. RAVI KUMAR ROY

Share of other three peoples

2nd people get = 4x600 = 2400 Rs.

3rd people get = 6x600 = 3600 Rs.

4th people get = 7x600 = 4200 Rs.

let ratio factor be x; 4 people = 3x, 4x , 5x, 6x; 1st people get = Rs, 1800; 3x =1800; ; x= 1800/3=600; 2nd people =4 × 600 =2400, 3rd people = 5 x 600 = 3000; 4nd people = 6 x 600= 3600

4200 is the right answer.

plz like my answer

8.

Divide ? 7400 among three people A, B and C in the ratio 3:5:12.

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3x + 5 x + 12x = 740020 x= 7400x= 370

share of A = 3*370= 1110 B= 5*370= 1850 C= 12*370= 4440

9.

co repel(a) repetition of the digits is not allowed?How many 3-digit even numbers can be formed from the digits 1,2,3,4,,6itioh adigits can he repeated?I t lir coe can be formed using the first 10 letters of the Eng

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10.

5Which are the correct 4 letters that will form sensible words ffollowing first letters:1.b____,, d, fc(1) loat(2) rood (3) rawn (4) rown

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1 is baker2 is crime3 is dolls4 is flies

1.B rown2.C rood3.D rawn4.F loat

11.

3,500 is to be shared among three people so that the first person gets 50%。second person who in turn gets 50% of the third person. How much will each ofthem get ?nt is Shalu's

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Let the share of the third person be xShare of second one = 50/100x = x/2Share of first one = 50/100 × x/2 = x/4ATQx+x/2+x/4 = 35004x+2x+x/4 = 35007x/4 = 35007x = 3500×4x = 3500×4/7x = 500×4x = ₹2000

share of third person = x = ₹2000Share of second person = x/2 = ₹2000/2 = ₹1000Share of first person = x/4 = ₹2000/4 = ₹500

12.

In how many ways can the letters of the word ASSASSINATION be arrangedso that all the S's are together?11.

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13.

) In how many ways can the letters of MAHABHARAT be aranged so that) B and T are never togetheriu) M. A, T. H occurs at first four places

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Total no of arrangements will be 10!/(4!*2!)Total no of arrangements in which b & t are together will be 9!/(4!*2!)Total no of arrangements in which b & t are not together will be 10!/(4!*2!)-9!/(4!*2!)= (10! - 9!)/(4!*2!)

is it correct

why ! this sighn

14.

orson gets 50% of the0. Rs 3500 is to be shared among three people so that the first person gets 5second, who in turn gets 50% of the third. How much will each of themAe

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15.

73,500 is to be shared among three people so that the first person gets 50% of thesecond person who in turn gets 50% of the third person. How much will each ofthem get?

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16.

4. 3,500 is to be shared among three people so that the first person gets 50% ofsecond person who in turn gets 50% of the third person. How much will each of thatget?

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17.

Two person A and B toss an unbiased coin alternatelyon the understanding that the first who gets the headwins. If A starts the game, find their respective chanceof winning.

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'A' can win in odd trials. Let the probability of A getting heads be 'p' So '1-p' is the probability that 'A' loses. If 'A' wins in 1st trail then it is simply = p for 'A' to win in 3rd it has to lose in 1st two and win in 3rd = (1-p)^2 *p..and so on. So prob of A winning = p + (1-p)^2*p + (1-p)^4*p+... = p [1+(1-p)^2 + (1-p)^4+... ] p=1/2 So, probability of 'A winning' = 1/2 * [4/(4-1)] [summing the geometric series] = 2/3 Thus, probability of 'B' winning is 1/3

18.

3. Find the square roots of 100 and 169 by the method of repeated subtraction

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19.

Divide by repeated subtraction:427

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20.

(d) Find 9 by repeated subtraction method.

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The square root of 9 is 3.

NowStep 1:9 - 1 = 8Step 2:8 - 3 = 5Step 3: 5 - 5 = 0

21.

2. Avijan can do a piece of work in 10 hours and Alankar can do the same job in 15 hourHow long will they take to do the same work if they work together?

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If A can complete a work in x days and B can complete the same work in y days, then, both

of them together can complete the work in x y/ x+ y days.

Here, the No. of hours required to complete the work , working together = 10×15/10+15

= 150/25=6 hours

22.

22.If the letters of the word ASSASSINATION are arranged at randomn, find the probability that aA's are not coming together.

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The no. of arrangements in which all A's come together =11!/4!2!2!

∴∴Probability of all A's coming together =11!4!2!2!/13!/4!3!2!2!=11!×3!/13!

=1/26

23.

8The salaries of A, B and C are in the ratio2:3:5. If A's salary is increased by 15%,B's salary is decreased by 10% and C'ssalary is increased by 20%, then thenew ratio of their salaries is

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A:B:C= 2:3:5 (15/100)×2+2 : (10/100)×3+3 : (20/100)×5+5 (30/100)+2 : (30/100)+3 : (100/100)+5 (3+20)/10 : (3+30)/10 : 6

The answer is- 2.3 : 3.3 :6

The new ratio of their salaries is 23:27:30

the new ratio of their salaries is 23:27:30

2×115/100 : 3×90/100 : 5×120/100 = 230:270:600 = 23:27:60

24.

for higher education Trisha burrows rupees 9600 from the post office for2 1/2 years at the rate of 9% how much interest and amount would see pay back at the end of the term?

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For SIMPLE INTERESTSI = P*R*T/100Given P = 9600, R = 9%, T = 5/2

SI = 9600*9*5/200 = 48*45 = 2160

Thus she would have to pay interest of Rs 2160 or Total amount = 9600 + 2160 = Rs 10760

25.

a job pays $56 for 8 hours of work. how much money does the job pay per hour?

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pay for per hour=$56/8=$7

26.

e e T Rt 12 Tप्रश्न हो. यदि (0 2० 2 हो कोणज्ञात करें ।& के अन्य त्रिकोणपितीय अनुपात(20 2L O

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Here is your solution...

given :- tanA=4/3

we already know that tanA=P/BFrom Pythagorean theorem we get..

H²=P²+B²H²=4²+3²H²=16+9H²=25H²=5²H=5

SinA=P/HCosA=B/H

from that

SinA= 4/5CosA=3/5

27.

e s 2N7 Py ?उमा मर हो;g 2y -g eRt

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capture the Clear photo.

28.

I Sl R Ao, Rt L T eण 12 : यदि किसी &.0. के प्रथम 14 पदोंतो 20वाँ पद ज्ञात कौीजिए।का योग 1050 है तथा इसका प्रथम पट

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a=10...given

S14=1050⇒n/2[2a+(n-1)d]=1050⇒14/2[20+13d]=1050⇒7[20+13d]=1050⇒20+13d=1050/7⇒20+13d=150⇒13d=150-20⇒13d=130⇒d=10

20th term=a+19d =10+19×10 =10+190 =200...Answer

29.

5. 3 months salary of Sohan is Rs 3870. Every month he spends Rs 30 on books, Rs 480 on food and Rs 300 on cloth. Hoin one year?

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30.

the present value is9. The value of a machine depreciates every yearmachine be Rs 100000, what will be its value after 2 years?100 annually If the present pour

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31.

Thevalue of a machine depreciates every year by 5%. If the presentathe machine be Rs 100000, what will be its value after 2 years?9.

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32.

a) Gracy took a loan of Rs 4000 to buy a net. She paidRs 345 every month for one year. How much money dicpay back to the Bank?12

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33.

How many 3-digit even numbers can be formed from the digits 1.2.digits can be repeated?

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Well 3 digit numbers formed by 1,2,3 can be repetitive or non repetitive type

If repetition of any number is allowed:

Then 3³ = 3x3x3 = 27 possibilities

Suppose xyz is 3 digit number then

For x we have 3 possibilities, for y 3 possibilities and for x again 3 possibilities if repetition is allowed so possible numbers = 3x3x3 = 27

Numbers are

111, 112, 113, 121, 122, 123, 131, 132, 133

211, 212, 213, 221, 222, 223, 231, 232, 233

311, 312, 313, 321, 322, 323, 331, 332, 333

Total = 27

34.

Jhansi and her sister took a loan of Rs 21,000 to buy a log!boat. They paid back a total of Rs 23,520 in one year. Howmuch did they pay back every month?

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35.

How many 3-digit even numbers can be formed from the digits 1,2,3,4,5,6 ifthedigits can be repeated?

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36.

repetition of the digits is alltn) repetition of the digits is not allowedHow many 3-digit even numbers can be formed from the digits 1.2.3.4,s

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37.

How many 3-digit even numbers can be formed from the digits 1, 2, 3,4, 5, 6 if thedigits can be repeated?

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38.

12. How many even numbers greater than 300 canbe formed with the digits 1, 2, 3, 4, 5 if repetitionof digits in a number is not allowed?

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39.

It can take 12 hours to fill a swimming pool ufor 4 hoyrs and the pipe of smaller diameter for 9 hours, only half the pool can be filled. How longwould it take for each pipe to fill the pool separately?sing two pipes. If the pipe of larger diameter is useu

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40.

a*(r*(r*(o*(w*(0*(-3*x/5 %2B 1)^(1/x))))))

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answer is - 1.

41.

\frac{3 x+1}{2}>5, x \in \mathbf{W}

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42.

Simplify each expression ald Ild1. 5x-7(2-4x-red

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5x - 7 (2 - 4x)5x - 14 + 28x33x - 14

43.

it number and the number obtained by reversing the order of its digits 1s0 (5. 0) and (7, 7) form ahenildhh the adehealLR14, The sum of a two-dig165. If the digits differ by 3, find the number.ou (n(?

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44.

2. Evaluate the following by using Identity-l.(0 (101)-(ii) (52)(iv) (203)( (410)quare of binomial akm, i.e. b, minust(vi)can verify the abo(10.27Identity-1/

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A natural disaster is a major adverse event resulting from natural processes of the Earth; examples are floods, hurricanes, tornadoes, volcanic eruptions, earthquakes, tsunamis, and other geologic processes

45.

gidentity,find the product of the following1.\begin{array}{l}{(y+4)(y+6)} \\ {\left(x^{2}+7\right)\left(x^{2}-5\right)} \\ {\left(m^{2}+7\right)\left(m^{2}-5\right)}\end{array}1 (x+(iv4) m'n2+(vi

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46.

Hint : wie1+ scc A sinA(Hint: Simplify LHS and RHs(iv)1-cosA + cot A, using the identity

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47.

xercise 1Vlect a suitable identity and find the followingpxo3k + 4) (3k+4) ( (ax(i) (ax2+ by2)(ah(iv) (m2-n2) (m'

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thanks

48.

polynomial : 5x3 +4x2+7(iii) Factorise the following using appropriate identity: x2-10,(iv) What is the name of each part of the plane formed by horizontal and vertical lines?

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49.

(8.) what number should9. State whether each of the following statements is true or false.The difference of two rational numbers is always a rational nam2 3 3 2i 5 5 5 3w 1 is the additive identity for rational numbers.(iv) Subtraction is commutative on rational numbers.(0) There exists a rational number which is its own additive inverse19 -3 19 3vi) 5115 11

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I don't know this answer sorry

which one of them sorry I can't identify

1 true2false3false4false5true6true

50.

of the book. Who28. Lalita read 30 pages of a book containing 100 pages while Saritareadread more?3o evercised for a longer time?

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