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.

ABCiS an isosceles uhalglufigliABC is an isosceles triangle with AC- BC. If AB2 2 AC2, prove that ABC istriangle.

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Given: AC = BC ABC is an isoceles triangle AB2= 2 AC2To prove: ABC is a right triangleProof: For ABC to be a right triangle, it should satify pythagoras theoremi.e AB2= AC2+ BC2Now, AC = BC (given)On substitution, we findAB2= 2 AC2, which is true according to the question.So, the given sides form pythorian triplets.Hence ABC to be a right triangle right angled at C.

2.

Triangle ABC is an isosceles triangle ,angle B = 90° prove that Ac square = 2ABsquare

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3.

19. ABC is an isosceles triangle with AC BC. If AB 2AC?, Provethat ABC is a right triangle.

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4.

arightABC is an isosceles triangle with AC- BC. If AB2 2 AC2, prove that ABC istriangle

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5.

Inan isosceles triangle ABC, AB = AC and D is a point on BC produced. Pro

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6.

24. If an isosceles triangle ABC with sides AB = AC = 6 cm is inscribed a circledradius 9 cm, find area of the triangle

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7.

AD is an altitude of an isosceles triangle ABC in whichABAShow that, (i)AD bisects BC (ii) AD bisects angleA.

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8.

24 cm.5. The volume of a right circular cone is 100 π cm 3 and its height is 12 cm. Find its slant height

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9.

A right triangle whose sides are 15cm and 20cm is made to revolve about itshypotenuse. Find the volume and surface area of the double cone so formed.

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10.

4+46-10

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40 is the best answer

4+46-10=50-10=40 is the best answer.

11.

z. Calculate the momentum of a toy car of mass 200 g moving with a speed of 5 m/s.

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thanks

12.

6.A shopkeeper has 28 footballs and 34 cricket balls. How many balls doeshe have in all ?

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Total balls will be 28+34=62 balls

28+34=62 will be the answer

13.

lf the points (α-x, α,α),(α,α-y,a),(α, α, α-z) and (α-1, α-1, α-1) arecoplanar, α ER then\begin{array}{l}{\text { 1) } x y+y z+z x=1 \quad \text { 2) } \frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1} \\ {\frac{1}{1-x}+\frac{1}{1-y}+\frac{1}{1-z}=1 \text { 4) } x \text { y } z=1}\end{array}

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thnx u r studying in which classes ??

14.

how many balls are there?ООООООО

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7 is the correct answer

15.

aWe lhe lollowing in 8-10 sentences z46. Explain the achivements of subash Chandra Bose in Independence Movement?

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Subhash Chandra Bose contribution in freedom, achievements.:1. Subhash Chandra Bose was a freedom fighter who played a very important role in getting the freedom from British. Subhash Chandra Bose joined Congress after resigning from Civil services but he did not like the idea of Mahatma Gandhi's opinion of non-violence.2.Netaji Subhash Chandra Bose is important because India got freedom due INA formed by him. ... Because of this trial indian army which was loyal to British turned against them. This made it Iimpossible for British to continue in India. This fact was accepted by Atlee when he came to India in 1955.3.Bose joined the non-cooperation movement that was started by Mohandas K. Gandhi, who had made the Indian National Congress a powerful nonviolent organization

16.

e subsets2. 110 children choose their favourite colour fromblue and pink. Every student has to choose at leastone of the colours. 60 children choose blue colourwhile 70 children choose pink colour. How manychildren choose both the colours as their favouritecolour?reasons,

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(60+70) -110130-11020 children choose both colours as their favorite color. PLEASE LIKE ❤

(60+70) -110=130-110=20 children

Please like my comment 😢😭😭😭😭

60+70=110130-110=20

60+70=110130-110=20 is the right answer of the following

60+70=110130-110=20

17.

4000o has taken a loan of1500 at a rate of 12 р.с.р.a. for 3 years. If thepay to clear2. Sameerrainterest is compounded annually then how many rupees should hehis loan?

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For compound interestA = P(1 + R/100)^n =12500(1 + 12/100)^3 =12500(1 + 3/25)^3 = 12500(28/25)^3 = 12500(1.12)^3 = 12500(1.404) = 17550

He has to pay Rs 17550 to close the loan

18.

Sameerrao has taken a loan of 212500 at a rate of 12 p.c.p.a. for 3 years. If theinterest is compounded annually then how many rupees should he pay to clearhis loan?

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19.

LALrcise 9.48,000O for a loan of1. A man paid = 8.640 for a loan oftaken for 320 days. Find the rate of simpleinterest charged by the bank.for the simple

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I don't know this question

9.125%Rate is the right answers

9. 125 percent right answer

9.125% is correct answer

9.125 is the correct answer

20.

2. Sameerao has taken a loan o/712500 at a rate of 12 p.c.pa. for 3 years. If theinterest is compounded annually then how many rupees should he pay to clearhis loan ?

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Amount = P{1 + (r/100)}^n

or, we know the values of P, r, n.

P = Rs 12500, r = 12% and n = 3yrs.

CI = 12500{1 + (12/100)^3

or, 12500{(112 x 112 x 112)/(1000000)}

or, Rs 17561.6 (Ans)

Therefore, Sameerrao has pay to pay Rs 17561.6 to clear his loan

Like my answer if you find it useful!

21.

I. A man paid 8,640-for a loan of8,000taken for 320 days. Find the rate of simpleinterest charged by the bank.

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Given are , Principal = ₹ 8000

Money paid by man(Amount) = ₹8640

So, Simple Interest = Amount - Principal = 8640-8000=₹640

Time is given as = 320 days = 320/365 years = 64/73 years .

By using formula, R = SI * 100 / T * P = 640*100*73/64*8000 = 9.12% Per Annum.

Answer : Hence, rate of interest = 9.12% p.a

22.

4. There are 84 balls. One-fourth of them are in blue colour and the remaining are inpink. How many balls are pink in colour?

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total 84 1/4th are blue so 21 are blue rest are pink so pink are 84-21 = 63

thanks

23.

itsellf at the same2.what amount needs to paid back for a loan oft500 taken for 3 years at the rate of 20% per year?

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24.

- Answer the following1. What do you mean by Natural threats?

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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

National securityis thesecurityof anation state, including itscitizens,economy, and institutions, which is regarded as a duty of government.

Originally conceived as protection againstmilitary attack, national security is now widely understood to include non-military dimensions, including the security fromterrorism,crime,economic security,energy security,environmental security,food security,cyber securityetc. Similarly, national security risks include, in addition to the actions of othernation states, action byviolent non-state actors,narcotic cartels, andmultinational corporations, and also the effects ofnatural disasters.

Governments rely on a range of measures, includingpolitical,economic, andmilitarypower, as well asdiplomacyto safeguard the security of the nation state. They may also act to build the conditions of security regionally and internationally by reducingtransnationalcauses of insecurity, such asclimate change,economic inequality,political exclusion, andnuclear proliferation.

Anaturalhazard is athreatof anaturallyoccurring event will have a negative effect on humans. This negative effect is what we call anaturaldisaster. In other words when the hazardousthreatactually happens and harms humans, we call the event anaturaldisaster.

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

25.

ethe following pair of equations by theSolv0, method and the substitution method.1.= 5 and 2x-3y-4[March 2011, series C]

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1.

2.

26.

9x-5y=-1;4x-3y=-2 solve by substitution method

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9x - 5y = - 19x = 5y - 1x = (5y - 1)/9.......(1)

4x - 3y = - 2.........(2)

Put value of x from eq(1) in eq(2)4*(5y - 1)/9 - 3y = - 220y - 4 - 27y = - 18-7y = - 18 + 4-7y = - 14y = 14/7 = 2

Now, put value of y in eq(1)x = (5*2 - 1)/9 = 9/9 = 1

Therefore,Value of x = 1, y = 2

27.

Solve by substitution method7x-15y=2x+2y=3

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28.

Solve 22-4y=102n+2y=20 brsubstitution method

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29.

14·a)Divide x^4+3x^2+4 by x^2-1 and Verify the division algorithm

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30.

16.A/Dividef(x)=4 x^{4}-3 x^{3}-2 x^{2}+x-7 \text { by } g(x)=x-1find remainderand quotient. Also verify using division algorithm.

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31.

a) Divide x^4 +3x^2 +4 by x-1 and verify the division algorithm

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32.

8. One half of the convex lens of focal length10cm is covered byblack paper. Can such lens produce an image of a completeobject placed at a distance of 30 cm from the lens? If yes then atwhat distance will be the image formed? Draw a ray diagram tojustify your answer?

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height of object= 4cm=h0focal length=f=20cm.u=-15cm after sign conventions.by lens formula,1/f=1/v-1/u1/v=1/f+1/u=1/20-1/15=3-4/60=-1/60v=-60cmsm=v/um=hi/ho=v/uhi=hoxv/u=4x(-60)/(-15)=8cmhi=8cm∴ Position of image is 60cm in front of lens size of image is 8cmnature of image is virtual and erect.

33.

5. A weaver paid back18,422 to clear a loan ofR 15,100 after 2 years. Atwhat rate of interest wasthe loan taken?

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The interest he pay is $3322

34.

If the ratibe the sum of their ages 5 years from now ?(A) 90ratito of the ages (in years) of A and B, 5 years ago was 5 :7, then which of the following can(B) 98(C) 92(D) 87

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let the present ages of A and B be a,b

=> age of A and B five years ago is a-5 and b-5

ratio of a-5 and b-5 is 5/7=> a-5/b-5 = 5/7 => 7a-35 = 5b-25=>7a-5b = 10

now 5 years from present there ages will be a+5, b+5

now sum of their ages will be (a+5)+(b+5)= a+b+10

now from 1st equation a = (10+5b)/7

put this in a+b+10 = (10+5b)/7+b+10= 10+5b+7b+70/7=12b+80/7

now check for values of b.

12b+80/7 = (7b+70)/7 + 5b+10/7= b+10 + (5b+10)/7

now for (5b+10)/7 to be integer.ao check the values of b.

35.

all ngieS O1Fig. 3.IL7. In figure 5.13 □ABCD is a parallelo-gram. Point E is on the ray AB suchthat BE AB then prove that line EDbisects seg BC at point FFig. 5.13

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ABCD is a parallelogram .

Point E is on the ray AB such that

BE = AB .

To prove : BF = FC

Proof :

i ) AB = DC [ opposite sides ]

AB = BE ( given )

DC = BE --- ( 1 )

ii ) In ∆DCF and ∆EBF

<FDC = <FEB [ alternate angles ]

DC = BE ( S ) [ from ( 1 ) ]

<DFC = <EFB [ veritically opposite angles ]

Therefore ,

∆DCF is congruent to ∆EBF

[ ASA congruence Rule ]

CF = FB [ CPCT ]

36.

What are threats to Biodiversity? Deseribe any two threats in brief.

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1. Climate change

Changes in climate throughout our planet's history have, of course, altered life on Earth in the long run — ecosystems have come and gone and species routinely go extinct.

But rapid, manmade climate change speeds up the process, without affording ecosystems and species the time to adapt. For example, rising ocean temperatures and diminishing Arctic sea ice affects marine biodiversity and can shift vegetation zones, having global implications.

Overall, climate is a major factor inthe distribution of speciesacross the globe; climate change forces them to adjust. But many are not able to cope, causing them to die out.

2. Deforestation and habitat loss

Deforestation is a direct cause of extinction and loss of biodiversity. An estimated18 million acresof forest are lost each year, due in part to logging and other human practices, destroying the ecosystems on which many species depend.

Tropical rainforests in particular, such as theAmazon, hold a high percentage of the world's known species, yet the regions themselves are in decline due to humans.

3. Overexploitation

Overhunting, overfishing and over-harvesting contribute greatly to the loss of biodiversity, killing off numerous species over the past several hundred years. Poaching and other forms of hunting for profit increase the risk of extinction; the extinction of an apex predator — or, a predator at the top of a food chain — can result incatastrophic consequencesfor ecosystems.

5. Pollution

From the burning of fossil fuels (releasing dangerous chemicals into the atmosphere and, in some cases, depleting ozone levels) to dumping19 billion pounds of plasticinto the ocean every year, pollution completely disrupts the Earth's ecosystems. While it may not necessarily cause extinction, pollutants do have the potential to influents species' habits.

For example, acid rain, which is typically caused by the burning of fossil fuels, can acidify smaller bodies of water and soil, negatively affecting the species that live there bychangingbreeding and feeding habits.

37.

2 In which empty rectangle would the number1,786 make the comparison true?F 1,914 &gt;1,898G 1,754 &lt;1,793H 1,858 &gt;&gt; 1,804J 1,759 &lt;&lt; 1,784

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G. 1754<1786< 1793 satisfies the sign

38.

the dimension of a pit are 5meter ×3meter ×2meter. if it is filled with bricks of size 20cm×10m × 5cm which cost re 2.50 each then find the total cost of the bricks

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1 meter=100 cmTotal bricks=(500×300×200)/(20×10×5) =300001 brick=2.5 Rs.so 30000 bricks=75000 Rs.Total cost=75000 Rs

39.

12enFind the area of the shaded region 3cm3cm7cm B5cm10cm3cm5cm3cm 3cm10cm5cm

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40.

The probability of getting a damaged shirt fro0.015. Find the number of damaged shirts in the lot.a lot of 400 shirts is

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P(damaged)=n(damaged)/n(total)0.015=n(damaged)/400n(damaged)=400×0.015n(damaged)=6

41.

43. Raman and Rati borrowed the same principal at the same rate of simpleinterest. After 1.5 years Rati paid 2750 as interest. How many more interestwould Raman have to pay than paid by Rati after 27 months?

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42.

Raman and Rati borrowed the same principal at the same rate of simpleterest. After 1.5 years Rati paid R 2750 as interest. How many more interestwould Raman have to pay than paid by Rati after 27 months?

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43.

QID 52 - Raman can do a work in 5 days, Jatin can do thesame work in 7 days and Sachin can do the same work in 9days. If they do the same work together and they are paid Rs2860, then what is the share (in Rs) of Raman?

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44.

There ate 84 seeds in packet.How many seeds will be there in16 packets?

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in a packet 84 seedsthen, in 16 packets84*16=1344

45.

nitu had 125 flowers seed she began putting 19 seeds in each row how many complete rows can she make how many seeds will be left over

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The number of complete rows would be a multiple of 19 which is closest to 125so 19x6=114So she will get 6 complete rows.No of seeds left= 125-114= 11

46.

seeds change in t

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seed change in to germination

47.

3:5 हो, तोड़: 2:275 कक

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If you like the solution, Please give it a 👍

48.

427 53' 98'12 into ascending or-der are27भिन्न5 ।को यदि आरोहण क्रम में ।लिखना हो तो किस प्रकार लिखा जाएगा?27 4 5(a)-583127 2 5 48 9 123(c) -37 2 4 55'3'1227 5 4(d) 98123

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A) is the right answer

49.

\frac { a ^ { 3 } - 27 } { 5 a ^ { 2 } - 16 a + 3 } \div \frac { a ^ { 2 } + 3 a + 9 } { 25 a ^ { 2 } - 1 }

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50.

9.What must be added to5xユー2x:+6x+7 tomake the sum r, +3r'-x-1?

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