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.

There are only 11 seats in abus , 10 passengers enterthe bus along with 1 driver.However, there was 16hearts beating how is thisPossible ?

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1)They may have their pet with them so this may be the reasonas well.2)or some may be standing on floor so it nay be the second cause.

I am agree this Good

2.

1. Simplify Wax

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[(x^4)^1/3]^1/12

= (x^4/3)^1/12

= x^[4/3 * 1/12

= x^1/9

x to the power 1by9.

3.

150Secondary School Mathematics for Class 1047. A lending library has a fixed charge for the first three days andadditional charge for each day thereafter. Mona paid R 27 for a bookkept for 7 days, while Tanvy paid R 21 for the book she kept for 5 daysFind the fixed charge and the charge for each extra day

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4.

hthe folowing,give the justifiation of the construction alsothe following, give the justification of the construction also:Draw a line segment of length 7.6 cm and divide it in the ratio 5: 8. Measure the twoparts.

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5.

b)Define specific heat. Prove that CP-Cv = R. Also prove CV-

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is Mayer's equation.

Derivation:

ΔU = ΔQ + ΔW ΔU = Cv ΔT (At pressure is constant)

ΔQ = Cp ΔT (At pressure is constant)

ΔW = -P ΔV (Negative since the calculation been complete)

Pv = RT (1 mole of gas)

Because of pressure is constant, R is also constant

Change in V will make change in T

PΔV = R ΔT

Cv ΔT = CpΔT - RΔT

Divided by ΔT

Cv = Cp - R

Cp - Cv = R

2)According to thermodynamics h = u + Pv = u + P/rh = CP T u = CV T k = CP / CV Pv = P/r R T Substitution into enthalpy gives CP T = CV T + R T CP = CV + R Manipulation gives CP/CP = CV/CP + R/CP 1 – 1/k = (k–1)/k = R/CP CP = k/(k–1) R

6.

June-20OrDefine Mathematics. Also discuss its nature.s the Babylonian, Egyptianthematiciau

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Mathematicsincludes the study of such topics as quantity, structure, space, and change.

Mathematics reveals hidden patterns that help us understand the world around us. Now much more than arithmetic and geometry, mathematics today is a diverse discipline that deals with data, measurements, and observations from science; with inference, deduction, and proof; and with mathematical models of natural phenomena, of human behavior, and of social systems.As a practical matter, mathematics is a science of pattern and order. Its domain is not molecules or cells, but numbers, chance, form, algorithms, and change. As a science of abstract objects, mathematics relies on logic rather than on observation as its standard of truth, yet employs observation, simulation, and even experimentation as means of discovering truth.The special role of mathematics in education is a consequence of its universal applicability. The results of mathematics--theorems and theories--are both significant and useful; the best results are also elegant and deep. Through its theorems, mathematics offers science both a foundation of truth and a standard of certainty.In addition to theorems and theories, mathematics offers distinctive modes of thought which are both versatile and powerful, including modeling, abstraction, optimization, logical analysis, inference from data, and use of symbols. Experience with mathematical modes of thought builds mathematical power--a capacity of mind of increasing value in this technological age that enables one to read critically, to identify fallacies, to detect bias, to assess risk, and to suggest alternatives. Mathematics empowers us to understand better the information-laden world in which we live.During the first half of the twentieth century, mathematical growth was stimulated primarily by the power of abstraction and deduction, climaxing more than two centuries of effort to extract full benefit from the mathematical principles of physical science formulated by Isaac Newton. Now, as the century closes, the historic alliances of mathematics with science are expanding rapidly; the highly developed legacy of classical mathematical theory is being put to broad and often stunning use in a vast mathematical landscape.Several particular events triggered periods of explosive growth. The Second World War forced development of many new and powerful methods of applied mathematics. Postwar government investment in mathematics, fueled by Sputnik, accelerated growth in both education and research. Then the development of electronic computing moved mathematics toward an algorithmic perspective even as it provided mathematicians with a powerful tool for exploring patterns and testing conjectures.At the end of the nineteenth century, the axiomatization of mathematics on a foundation of logic and sets made possible grand theories of algebra, analysis, and topology whose synthesis dominated mathematics research and teaching for the first two thirds of the twentieth century. These traditional areas have now been supplemented by major developments in other mathematical sciences--in number theory, logic, statistics, operations research, probability, computation, geometry, and combinatorics.In each of these subdisciplines, applications parallel theory. Even the most esoteric and abstract parts of mathematics--number theory and logic, for example--are now used routinely in applications (for example, in computer science and cryptography). Fifty years ago, the leading British mathematician G.H. Hardy could boast that number theory was the most pure and least useful part of mathematics. Today, Hardy's mathematics is studied as an essential prerequisite to many applications, including control of automated systems, data transmission from remote satellites, protection of financial records, and efficient algorithms for computation.In 1960, at a time when theoretical physics was the central jewel in the crown of applied mathematics, Eugene Wigner wrote about the ``unreasonable effectiveness'' of mathematics in the natural sciences: ``The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve.'' Theoretical physics has continued to adopt (and occasionally invent) increasingly abstract mathematical models as the foundation for current theories. For example, Lie groups and gauge theories--exotic expressions of symmetry--are fundamental tools in the physicist's search for a unified theory of force.During this same period, however, striking applications of mathematics have emerged across the entire landscape of natural, behavioral, and social sciences. All advances in design, control, and efficiency of modern airliners depend on sophisticated mathematical models that simulate performance before prototypes are built. From medical technology (CAT scanners) to economic planning (input/output models of economic behavior), from genetics (decoding of DNA) to geology (locating oil reserves), mathematics has made an indelible imprint on every part of modern science, even as science itself has stimulated the growth of many branches of mathematics.Applications of one part of mathematics to another--of geometry to analysis, of probability to number theory--provide renewed evidence of the fundamental unity of mathematics. Despite frequent connections among problems in science and mathematics, the constant discovery of new alliances retains a surprising degree of unpredictability and serendipity. Whether planned or unplanned, the cross-fertilization between science and mathematics in problems, theories, and concepts has rarely been greater than it is now, in this last quarter of the twentieth century.

7.

If the same number be added to the numbers 5, 11, 15 and 31, the resulting numbers are in proportion. Find the number.

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8.

6. Three numbers are in the ratio 3:7: 9.If 5 is subtracted from the second, theresulting numbers are in A.P. Find theoriginal numbers.

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So let the three numbers are 3x , 7x , 9x

so according to question3x , 7x - 5 , 9x are AP

2(7x - 5) = 9x + 3x

⇒ 14x - 10 = 12x

⇒ 2x = 10

⇒ x = 5

so the original numbers are

3 x 5 = 157 x 5 = 359 x 5 = 45

9.

Sequénces alu BelleА.Р.numbers whose sum is 15 are in A. P. If 1, 4, 19 be added toihem respectively the resulting numbers are in G. P. Find thenumbers.]

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10.

If the same number be added to the numbers5, 11, 15 and 31, the resulting numbers are inproportion. Find the number.a, b, c and d are in proportion=> a/b = c/d

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answer should be solved in linear equation method

11.

insert 5 numbers between 8&26 such that resulting sequence in ap

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12.

ofa G.P with first term a and common ratio r are squared. Prove that5 The termsresulting numbers form a G.P. Find its first term, common ratio and the nth tern

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13.

6. The sum of three numbers in G.P. is 14. If the first two terms are each increased by1 and the third term decreased by 1, the resulting numbers arein A.P. Find thenumbers

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14.

3. What numbers must be subtracted from each of the.numbers 21, 30, 19, 27 so that the resulting numbersare in proportion?

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thanks

more. answers

15.

30. A farmer wants to dig a well either in the form of cuboid of dimensions 1 m x 1 mx 7 m or inthe form of cylinder of diameter 1 m and 7 m deep. The rate to dig the well is 50/m3. Find the cost todig both wells

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V of cuboidal well=lbh = 7 m^3Rate = 7*50 = 350 Rs.

V of cylindrical well = 5.5m^3Rate = 5.5*50 = 275 Rs.

16.

\operatorname { cos } ^ { 2 } \theta + \operatorname { cos } 2 ( \theta + 120 ^ { \circ } ) + \operatorname { cos } ^ { 2 } ( \theta - 120 ^ { \circ } ) = \frac { 3 } { 2 }

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17.

\sin ^{2} \alpha+\sin ^{2}\left(120^{\circ}-\alpha\right)+\sin ^{2}\left(120^{\circ}+\alpha\right)

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1

2

3

18.

7. The alphabetical order is reversed andwritten such that Z = 1, Y = 2 and so on.What would 4, 18, 1 and 16, 18, 23 mean?

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4=W18=I1=ZWIZ16=K18=I23=DKID

Thank u

Aapne sahi answer diya h

19.

\operatorname { cos } ^ { 2 } \theta + \operatorname { cos } 2 ( \theta + 120 ^ { 0 } ) + \operatorname { cos } ^ { 2 } ( \theta - 120 ^ { \circ } ) = \frac { 3 } { 2 }

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20.

\begin{array} { l } { \text { Ex. } 8 : \text { Prove that } } \\ { \cos ^ { 2 } \theta + \cos ^ { 2 } \left( \theta + 120 ^ { \circ } \right) + \cos ^ { 2 } \left( \theta - 120 ^ { \circ } \right) = \frac { 3 } { 2 } } \end{array}

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21.

13. The product of two numbers is 1296. If one number is 16 times the other, fordthe numbers.

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22.

←2-1that CAB)exis

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23.

If CAB =914, then DIG = ?

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CAB = 914means 3*3 1*1 2*2DIG4*4 7*7 9*9164981where it's their place in numerical valueABCD1234

24.

In how many ways can the letters of the word PERMUTATIONS be arrangeć f the(G) words start with P and end with S.ii vowels are all together(ii) there are always 4 letters between P and S?II.

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25.

How many pairs of the letters does theword "BRIGHTER" contain in such thatthe two letters of the pair have as manyletters between them in the word asthere are in the English alphabet?(2) 2(3) 1(4) 3

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I think the answer is option (2)

Is that correct ans for my question

26.

5. The probability of selecting a vowel from theEnglish alphabets26(iv)18

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27.

JS Write Two English Capital alphabets which have only two line of symmetry

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NO LINE OF SYMMETRY =F, G, J,, K, L,N, P, Q, R, S, ZOne line of symmetry =A,B,C, D, E, M, T, U, V, W, Y

two line= H O

28.

Ultmee&istinctlettersof the English alphabetsare there?5 How many numbers are there between 100 and 1000 such that 7 is in the units n

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Here there three places which are to be filled with numbers upto { 1.............9 ,0}

And the unit place is already occupied by 7

So the digit at tens place can be filled in 10 ways .

And the digit At hundred place can be filled in 9 ways , as 0 can not be there .

Hence the numbers are 10 *9 = 90 numbers which have 7 at unit place .

Like my answer if you find it useful!

29.

anglesThe sum of three numbers in A.P is 12 and the sum of their cubes is 288. Pind thenumbers.

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30.

30. In a group of 50 people, 35 speak kannada & 25 speak both English and kannada and athe people speak at least one of the two language. How many speak English? How manspeak only English and not kannada?

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let the only English speakers be xso, 50-35=xx=15Therefore, 15 people speak only English .Total number of English speakers =25+15=40

31.

Sbyby the product ofovide the sum of -1a and 175ftheyst. Find

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32.

Cab 2CCo

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33.

44. निकटतम 100 के सन्निकट करने पर संख्या 637 है-(A) 650(B) 700(C) 600(D) 500

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c) 600 is the best answer

option (c) 600

correct answer for this question

the correct option is (c) 600.like my answer

600 is the correct answer of the given question.

600 is the correct answer

option C is the correct answer.

option(c) 600 is the best answer

600 is the best answer.

34.

y币邢可(1) 577(3) 657(2) 647(4) 637

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a2+b2=6132

a2+b2>=2ab

We can assume that

2ab=a2+b2

Therefore,

a2+2ab+b2=2∗6132

(a+b)2=2∗6132

(a+b) = 613√2.

35.

Prime factorizatieesg 637

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36.

Find the domain and the range of thefunction f(x)-.of f(x).Also draw the graph2+

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37.

Find two numbers in the ratio 6 : 6 such thatwhen 71/2 is subtracted from each numberthe resulting numbers are in the ratio 7:9

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38.

2. A whole number is added to 69 and the same number is subtracted from 69. Find the sum of the resultingnumbers.

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Apply the formulalet the number be x69+x = 69 - x

by this u will get the answer... just solve it

algebra part question

69+x=69-x is the right answer

let no be x69+x==69-x

39.

Logical Reasoning Section:36.How many number of triangles are there in given figure?OVIDE Telodornin adla

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As per my observation given figure has 48 triangles

40.

Quadrilateral TRUETR = 3.5 cmRU 3 cmUE 4 cm<R = 75°ZU 120°

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41.

What are the qualities of a good questionnaire? 6。0What are the main sources of secondary data?ru

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The length ofquestionnaireshould be proper one.

The language used should be easy and simple.

The term used are explained properly.

The questions should be arranged in a proper way.

The questions should be in logical manner.

Secondary datarefers todatathat was collected by someone other than the user. Commonsources of secondary datafor social science include censuses, information collected by government departments, organisational records anddatathat was originally collected for other research purposes.

42.

50÷425

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0.11

43.

A ) 4ol 0.6 ’N\ 04

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please like my answer if you find it useful

44.

637+425

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637 + 425 ------------ 1062

1062

Ok

45.

Find 32% of 425

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= 32(425)/100

= 9775/100

= 97.75

46.

7. Find:(i)32% of 425

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47.

o0 £ + M + 4 ('hfifl’tb s ol o

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4y*y + 4√3y + 3 = 0 2y*2y + 2*2y*√3 + √3*√3 = 0 (2y + √3)(2y + √3) = 0 y = -√3/2

48.

16. Draw the graph of x + 2y - 7 =0 and 2x - y -4 = 0. Shade the area bounded by these linesand Y-axis.

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49.

-5272 ]6‘“

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(27^2 /4^-3)^[-5/6]= (3*2)^6*[-5/6]= 6^-5= 1/6^5= 1/7776

50.

(272: 5) %2

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please hit the like button if this helped you.

bracket ka ans he 2 ka power 5 and whole ka ans he 2 ka power 8