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.

7. A man running a racecourse notes that the sum of the distances from the twofposts from him is always 10 m and the distance between the flag posts is 8nFind the equation of the posts traced by the man.

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2.

प्प हर न . bl s 0 =olncehe- Awen tha —

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Yes it is a quadratic equationHere a= 1b= 0C= 2Please like the solution 👍 ✔️👍

3.

1.write the equations for the 'r-andy-axes.

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4.

itcaiot r thè top andD JullnOuted on the building) are 60° and 45 respectively. FindurmOuhted on thethe height of the flagstaff.As observed from the top of a lighthouse 100 m high above sea level, the angle of depressionof a ship sailing directly towards it changes from 30 to 45o. Find the distance travelled by theship during the period of observation.35. A ladder of length 4 m makes an angle of 30 with tha flo

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5.

A-Torce of magnitude 5 units in the direction ofvector? +2j+2k is displacing the particle from thepoint (1, 1, 1) to (2, 1, 3). Find the work done by theforce

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6.

If\left(\frac{x}{3}+1, y-\frac{2}{3}\right)=\left(\frac{5}{3}, \frac{1}{3}\right), find the values ofx andy

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x/3 +1=5/3 => x=5/3x3-1x3 = 5-3=2y-2/3 = 1/3 => y = 1/3+2/3 =3/3=1

ans . x=2, y=1

7.

TP and TQ are two tangents drawn from an external point T to a circle with the center O are such that anglePOQ =120°, then find the value of angle OTP is equal to

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Answer: 60 degree

Step-by-step explanation:

by angle sum property of quadrilateral:

∠P+∠Q+∠T+∠O=360°

90°+90°+∠T+120=360°

300°+ ∠T +360°

∠T +360°-300°

∠T =60 °

8.

TPand TQ are two tangents drawnZP0Q = 120°, then the value of OTP is equal to-(A) 40(C) 50°from an external point T to a circle with centre O are such that(B) 30°(D) of these

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Correct Answer is (B) 30°

9.

purjuuli 4) - LA, mume value otp-t9.7. The sum and the product of the zeroes of the polynomial f(x) = 4x2 - 27x + 3k2 are equal.Find the value(s) of k.

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4x^2+27+3k^2; sum =-b/c=-27/4; k^2=9; k=3

10.

and tuo umeive number that tha0unbey makes a tal oy 53

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denote the smaller number by n

thus the numbers are, n = 26 and n+1=27

11.

(9) Ifa2i -k, b+3k and c2k, find,b=-i+3k and c=1scalarsandy such that c=xa+yb.

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Thnk u.. 😁

12.

4.Simplify: F = xy +xy + уг

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13.

mprove your learningHow do you correct the eye defect Myopia? (AS1)

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Myopia:Near-sightedness : A person with Myopia can see nearby objects clearly1)A person with myopia cannot see faraway objects clearly.2)The far point for the myopic eye is nearer than infinityOccurs due to1)Excessive curvature of the eye lens2)Elongation of eyeball3)The image of a distance object is formed in front of the retina and not on the retinaDefected is corrected by using Concave lenses such that the lens will bring the image back on to the retina.

14.

62. 12 Men or 15 women can do a piece of work in21 days. Find the number of days required tocomplete the same work by 6 men and10 women.

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It is assumed that the efficiency of men is higher by the factor 15/12 than that of women.) The question :How many days would be needed by 6 men and 10 women can be reduced to the question How many days would be needed by 6 + 10x(12/15) = 6+8 = 14 men, if the same work can be done in 21 days by 12 men?The answer isX = 21x(12/14) = 18 days.

I don't understand so please send me again clearly

15.

If 8 women's earn2880 in 6 days, what will 15 women earn in 5 days?

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Assuming they are working 8 hrs a day.Total hrs they work6 days × 8 hrs per day × 8 women = 384 hrsEarnings per hr = 2880/384=7.5 per hr.

15 women working for 5 days will ern5 days × 8 hrs per day × 15 women = 600 hrsThen 600 hrs × 7.5 = ₹4500.

16.

Given that x e R, solve the following inequation and graph the solution on the numberline:5(2006)1 S3+ 4x < 23

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17.

If r a, y b is the solution of the pair of equations r y 2 and xy 4, find thevalues of a and b.

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18.

15. What is the scientific name of thesightedness?A: MFILL IN THE BLANKS

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Ans :- Near-sightedness, also known as short-sightednessand myopia, is an eye disorder where light focuses in front of, instead of on, the retina. Severe near-sightedness increases the risk of retinal detachment, cataracts, and glaucoma.

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19.

If AB (2i + j-3k) and A(1, 2,-1)is the given point, findcoordinates of B.

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20.

1.Find what value of k will the oosuocuase temas 2k +1. 3k +3 and 5k - 1 from on A

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for AP2(3k+3) = 2k+ 1 +5k-16k +6 = 7k k = 6

21.

8 - 4 \frac { 1 } { 2 } - 2 \frac { 1 } { 4 }

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22.

Find sum of roots of the equation 4x-sex +6=0

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23.

EXERCISETA1. Express(1) 20as a rational number with denominator(ii) -30(iii) 35

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24.

Express 1+2sinthettacostheta as a perfect square

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1 + 2 cosθsinθwe know 1 = sin²θ+ cos²θsin²θ+ cos²θ+ 2cosθsinθUse a² + b² + 2ab = (a+b)²so we get (sinθ+ cosθ)²

25.

The ratio of men to women in an office is 4:3. If there are 15 women, find the number of men inthe office?

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thanks

26.

16. A work done by 12 men or 15 womenin 20 days. What is the time taken by4 men and 5 women to complete thisarol

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Here we know that 12 men=15 women from first statement

So 4 men=5 women

Now, as 15 women can do the work in 20 days, 1 woman can do the work in 15*20=300 days

Now we are asked how much time will 4 menand5 women take to complete the work

Here we can take 4 men = 5 women and can find the time taken by 5+5=10 women to complete the work

We know that 1 woman can complete the work in 300 days, so 10 women will complete the work in 300/10=30 days

So the answer is 30 days

27.

(9/((-13)))*(text*((11/9)*(f*(r*(m*o)))))

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24/9 is the correct answer of the following question

24/9 is answer to your question

28.

EX Express (1+21)(-2+i) in the form of atibwhere a, b e RSolution ::i.e. (1+31)

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29.

2. The space surface ยบ =

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4π r^2.

30.

what is meant by hypermetropia

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Far-sightedness, also known ashyperopia, is a condition of theeyein which light is focused behind, instead of on, theretina.This results in close objects appearingblurry, while far objects may appear normal

31.

3k+2 and y=2k-1 is a solution of the equation 4x - 3y +1=0find the value of k.

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4(3k+2)-3(2k-1)+1=012k+8-6k+3+1=06k=-12k=-2

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4(3k+2)-3(2k-1)+1=012k+8-6k+3+1=012=-6k12/6=-k2=-kk=-2

4x–3y+1=04(3k+2)–3(2k–1)=012k+8–6k+3+1=06k+12=06k=–12k=–12÷6k=–2

k = -2 is the right answer

32.

Express(1):84as a rational number with denominator:(ii) 32(iii) 60

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(i) -3/4 = -6/8 (Multiply numerator and denominator with 2)(ii) -3/4 = -24/32 (Multiply numerator and denominator with 8)(iii) -3/4 = -45/60 (Multiply numerator and denominator with 15)

33.

Find the value of k for which the pair of linear equations (3k + 1)x + 5y-20(k+ 1)x + (k- 2)y-5 0 have no solution?

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34.

menwomenhow many are men? Howtowomen14 The ratio of147 women,passengers in an aeroplane is 4 7. There arey total number of passengers are there?man

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35.

12 Man do a piece of work in to Days.The same morok 15 women de in 10 Days.when a hemen and to women complete thework together?

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36.

feciduise this bolynomial(arc + by)² - (brc - ay)?

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AC + b y squared 2 minus b c plus minus a wire is required to buy AC divide by bc and ac nextbit BC and BC divide by sorry it is

37.

Hf one man or two women or three boys can do a piece of work in 22 days, then the same piece ofwork will be done by 1 man, 1 boy and 1 woman in

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1 man do 1/22 job per day 2 woman do 1/22 job per day 3 boys do 1/22 job per day so 1man, 1 woman, 1 boy

1/22 + 1/44 +1/66 job per day so (6 + 3 + 2)/132 = 1/t where t is the time taken now 132/11 = 12 = t

The same piece of work will be done in 12 days by one man, one woman, one boy.

38.

Name two substances that can sublime.

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Examples

Carbon dioxide.

Water.

Naphthalene.

39.

asI a anis are the newes of the polynomial 27 + 7yts,write the value of atpaß.[CBSG 20107

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2y^2+7y+5let alpha = p , bita = qsum of zeros = -b/a p+q= -7/2product of zeros= C/a pq= 5/2p+q+pq= -7/2+5/2= -7+5/2= -2/2=-1

2y^2+7y+5; let alpha=a; bita=k; sum of zero = -b/a; k+a=-7/2; ka=5/2; k+a+ka =-7/2+5/2=-2/2=-1

2y^2+7y+5let alpha = p , bita = qsum of zeros = -b/ap+q= -7/2product of zeros= C/apar= 5/2pq= 5/2p+q+par=-7/2+5/2=-7+5/2=-2/2=-1

40.

Neuative r aNisPositive liNouative y AiNlig. 3

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two number lines placed at 90° to each other making for quadrants. Meeting at 0,0.

41.

Zwrite the fall namecalle of the digit 6 in756032.asse placethe nurabi

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face value of 6 is 6 and place value of 6 is 6000

42.

Show that A= BIsatisfies the equation x2 + 4x - 42 = 01 24

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43.

express 1-2i/2+i + 3+i/2-i in the form a+bi

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44.

The opposite angles of a parallelogram aie (3: -2)° and (50x9. Find the measure of eachangle of parallelogram.

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45.

the, m.lln andaie 3:2 .etesrmine aal the angkas2357

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46.

straight highway leads to the foot of a tower. A man standing at the top of the towera car at an angle of depression of 30°, which is approaching the foot of the5. A Sobserves a dcwith a uniform speed. Six seconds later, the angle of depression of the car is found60°. Find the time taken by the car to reach the foot of the tower from this point.towerto be

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Thanks alot

47.

factorise anis bolynomial(aie + by? - Lave - by)?

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(ax + by)^2= a^2x^2+b^2y^2+2(ax)( by); ( ax - by)^2= a^2x^2+b^2y^2-2(ax)( by); ( ax+by)^2-( ax - by)^2 = a^2x^2+b^2x^2+2abxy-a^2x^2-b^2x^2+2axby=4axby=4abxy

48.

In thealue of xfollowing fig. if Ab is live findxtlo 4220a150° v

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49.

A(3, 1), BI, 5) and C(3,-1) are the vertices of AABC. Find the length of median AD.

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D(x,y)=(-1,2)then AD=√[(5+1)²+(1-2)²]=≥AD=√37 units

50.

ind the value of a for which a(+j+k ) is a unitector

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