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.

icatiorsecti0(ie, if B cA, then AUBLA3. IfA= { 1, 2, 3, 4}i.e,Remple-andB-(2, 4, 6, 8]. Find A UB.

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A={1,2,3,4}B={2,4,6,8}The answer is ={1,2,3,4,6,8}

2.

6.The sum of the series 4 + 16 +36 +64 + ....... + 400 is-(1) 1530(2) 1540(3) 1550(4) 1560

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let s be the given series,s=4+16+36+64+.......+400s=4(1+4+9+16+.....100)let,n=1+4+9+16+....+100n=0+1+4+9+16+...+100The relation between terms is the odd number added to the last term.the series will ben= 1+4+9+16+25+36+49+64+ 81+100n =385s=4(385)s=1540ans is b

option b is the correct answer of the given question

the option b is true s=1540

3.

Question 24. Find the equations of the tangent and normal tohyperbola-2-22-1 at the point (x0, M).22

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4.

e R T B G N राi x0 =Y+पर el B =y pov (ih By 29 (-0 2 * (L

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5.

b Ap =dp+XT1 T~ p =Lg+ X0 (1i iy 27 71S40)B 120: D2 $(फ 19% का: ek कु, 2 वि हक कदर hwy &1S40]

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6.

CECA1343 – 12x58. Given length and breath of a rectangleare 6*2 cm and 40m drespectively,find the area and perimetre of therectangleSlove

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area of rectangle = length ×breadth =6.2×4 =24.8 cm^2perimetre of rectangle =2(l+b) =2(6.2×4) =2×(10.4) =20.8 cn

24.8 cm^ 2 , 20.8 cm is the correct answer of the given question

7.

Slove any touri) If A. 2. 3. write down the set of all possible subsets of A

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null set,{1},{2},{3},{1,2},{1,3},{2,3},{1,2,3}

8.

Raj made 367 candles. Out of them 127were red. How many were not red?Answer:candles were notred.

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367-127 ÷240 the answer

367-127=240 is the answer

240 is the correct ans ok

240 Raj made candles were not red

here 240 candels were not red

367-127=240 is the correct answer

240 is the correct answer

367-126= 241 candles

240 is the correct answer.

240 candles was not red .

this is best/ correct answer.

ans is 240 were not red (367-127)

367-127=240 is the answer

367 - 127 = 280 candles are not read

240 candles were not red

367 - 127 = 240

367-127240 is the correct answer

9.

The chords of contact of the pair of tangents drawn from each point on the line 2x + y = 4 to the circlex2 + y2 1 pass through the point4) .2)0. (0) 4.9)2' 4nt () ie the mid oint of the chord 5x + 2y16

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10.

x0-1) 5x2+1) ही

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11.

416642 if parabola - 4ax passes through the point (4, -3). find the length of latus rectum.

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12.

(4) What is the equation of a line parallel to the X-axis and passing through thepoint (-4, 3)?(A) x 3 (B) y4 (C) y 3 (D) x4

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13.

Passing through the point (-4, 3) with slope 1/2

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equation of line is y = mx+cit passes through (-4,3) and slope is 1/23 = -4/2 + cc = 5so line is of form y = x/2 +5

14.

te the conjugate irrational number of each of the15A 12-14 + 11J2+104+ V1ia) 12+1

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c) 5/4+V11 x 4- V11/ 4 - V11= 5(4-V11)/(4-V11)^2= 20-5V11/16+11-2(4V11) = 20-5V11/27-8V11 ; d) V2-1/ V2+1 × V2-1/V2-1= ( V2-1)^2/(V2-1)( V2+1) = 2+1+2V2/2-1=3+2V2/1

5/ 4 + V11 x 4- V11/ 4- V11=5(4-V11)/( 4)^2-(V11)^2= 5( 4 - 8V11)/16-11= =5( 4- 8V11)/5=4-8V11.

V2-1/V2+1 × V2-1/V2-1 = ( V2-1)^2/( V2)^2-(1)^2=2+1-2V2/2-1= 3-2V2/1

correct answer is(i) 20 -5√11/5(ii) 3 -2√2

15.

+i)A fraction becomeswhen 1 is subtracted from the numerator and it becomes4when 8 is added to its denominator. Find the fraction.

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16.

1A) choose the con1) Which one of the following is an irrational number?d) 196b) 5

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a) 4/5the answer is right

b is the right answer

b) root 5 is an irrational number

b.root5 is a right answer

B one is the correct answer

root 5 is the irrational number

root 5 is an irrational number

the is option (B) because root 5 is a non terminating and non reapeting decimals

a) irrational b) irrational c) rationald) irrational

a) irrational. b) irrational c) rational d) irrational

option b is correct answer

17.

1/1+12/1

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Ans :- 1/1 + 12/1 = 1 + 12 = 13

18.

1/15 , 1/12, 1/10 ,............11,

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19.

(yi) 251-12 1 +1-101

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|-12|=12|-10|=10so 25-12+10=35-12=23

20.

Lim —. X0 Mle il

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21.

o={(L+x0)-8+1x€) - ((L+190) -5}

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[5x - 5 - (3x +7)] - [3x + 8 - (2x+7)] = 0(2x - 12) - (x + 1) = 0x - 13 = 0x = 13 ans

22.

xlog (1 +x)limx0 (1-cos x)

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if we put x=0 we will get 0/0 form so using L'hospital rule lim x->0 (log(1+x)+x/(1+x))/(sinx) if we put x=0 we will get 0/0 form so using L'hospital rule lim x->0 (1/(1+x)+1/(1+x)-x/(1+x)(1+x))/cosx = (1+1)/1 = 2

23.

Slove:- 10/x0+y/6=6, 6/x + y/3 =5

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24.

Ram's income is 30% less than Shyam'sincome. Then, Shyam's income in terms ofRam's income is(a) 130%(c) 138 4/5%(b) 142 6/7%(d) 136 3/7 %

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25.

The differencr of two numbers is 2 and the sum of their squares is 34. Find the number.(51112ans- 371

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suppose two numbers are x and x+2so (x+2)^2+x^2=34x^2+2x+4+x^2=342x+2x^2=30x^2+x=15

so x=3so both the numbers are 3 and 5

thankx.....for solution....

26.

4. A person earns R100 in a day. If he spent 142 on food and 30 on petrol How73much did he save on that day?

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Daily earning = 100Total money he spend= 100/7 + 92/3= (300 + 644)/21= 944/21

Money he save= 100 - 944/21= (2100 - 944)/21= 1156= Rs 55.04

27.

17) Solve for x and y: 2xty-6 and 2x-y -2

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it's wrong

2x + y = 6 2x - y = 2 add both the equations 2x + y + 2x - y = 6 + 24x = 8 x = 8/4 = 2 2*2 + y = 6 so y = 6 - 4 = 2

28.

The equation of a straight line which passes through the point (-4, 3) and is such thai the portion of itbetween the axes is divided by the point in the ratio 5: 3 internally, is(1) 9x-20y + 96 0(2) 2x-y 110 (3) 2xty+5 0 (4) 3x-2y +7o1.2Area of the quadrilateral formed by the lines xly2 is(2) 6(3) 4(4) none

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29.

39. Solve graphically 2xty 10 and 2r -y 240. A toy is in the form of a cone of radius 3cm mounted on a hemisphereOcanof same radius. The slant height of the cone shape is 10cm. Find thetotal surface area of the toy.tiese

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30.

If one is added to the numerator and four is subtracted from the denominator, thefraction becomes 1. Represent this situation in the form of a linear equation in twovariables. Also , find two solutions for the same.

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let the numerator be x and denominator be y.So, the fraction is x/yaccording to question, (x+1) /(y-4) = 1So, x+1 = y-4which gives, y=x+5 as the required equation We can find any two solutions for x and y.1. putting x=1, we find y=6 .So, (1,6) is a solution 2.putting x=2 , we find y=7. So, (2,7) is also a solution.In fact, we plot the graph of given equation and select any point on the line which is a solution.

31.

If(0, 2) is a solution of the linear equation 2x+3y=k, then what is the value of k ?

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(0,2) is a solution of a equationso 2(0)+3(2)=kso k=6

given x=0 and y=22x+3y=k2×0+3×2=k0+6=k that means, k=6

If (2,k) is one solution of equation x +y+2 =0 , then what is the value of k ?

32.

rite re unc tion[4ュnits bimplest lern

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33.

3. Write six improper fractions with denominator 5.C-4with numerator 13

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A fraction in which numerator is greater or equal to denominator is called an Improper Fraction .

Six improper fractions with denominstor 5 are

6/5 , 7/5 , 8/5 , 9/5 , 10/5 , 11/5

six improper fractions=3/5, 6/5, 8/5, 1/5, 12/5, 17/5 etc..,

correct answer is 6/5, 7/5, 8/5, 9/5, 11/5

34.

tions.5. 6x- 121.6-1.5

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6x = 12x=12/6x = 2

35.

CBSE 20011rowing a boat away from a lighthouse 150 m high takes 2 minutes2003e angle of elevation of the top of lighthouse from 45 to 30°. Find17. Abyn ofthe speed of the boat. [Use 3 1.732450

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Let the hieght of lighthouse be ydistance of boat initially = 150mdistance of boat from one point to another = xthus

According to question

tan 60 = y / 150thus y = 150 root 3

tan 45 = y / x+1501 = y / x + 150Thus

y = x + 150

150 root 3 = x + 150x = 150 (root3 - 1)

thus in 2 min speed will beu = x/t = 75 (root3 -1)

36.

in| 3. सिद्ध कीजिए कि—lim :-|1-cos inx[1-cosnxn

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37.

lim 1+x+ x2 +..x0

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38.

o~ B= 70/e™ 66

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Yeh question ka answer 303

39.

70.= ?यदि 7x + 5 = 13 तथा 2x + 70 = 26 हो, तो 5x + 2(A) 9(B) 3(C) 13(D) 22कथन ।।राजनेता =निष्कर्ष :||

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(7x+5y=13)2(2x+7y=26)714x+10y=2614x+49y=182On subtracting39y=156Y=156/39=47x+5*4=137x=13-20=-7X=-7/7=-15x+2y=5*-1+2=-5+8=3

D) 22 is the correct answer

c) 13 is the correct answer

a) 9 is the correct answer

b right answer bhai

b is the right answer.

40.

728616714234Ans: 70(a) 72(b) 70(c) 68(d) 66

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7+7+2 = 16

16+16+2 = 34

34+34+2 = 70

70+70+2 = 142

142+142+2 = 286

7*2+2=1616*2+2=3434*2+2=7070*2+2=142142*2+2=286

41.

Find any two solutions of equation2xty x+5.

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2x+y=x+52x-x+y=5x+y=5when x=0;y=5when y=0;x=5two solution are(0,5); (5,0)

42.

Find two solutions of the equation 15x- 2y7.

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thank you

43.

14. Find two solutions of linear equation 2x +3y 5.

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Two solution of 2x + 3y = 5 are

1) x = 1 and y = 2

2) x = 5/2 and y = 0

44.

6.7Find two solutions for the equation 4x - 5y-4=0.The cost of a notebook and 2 pens is 56 rupees. Write a linear equation

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I don't know please like

Convert into paisa rupees75

45.

3. Write six improper fractions with denomtions with denominator 5,

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46.

tions: (to 25) PHOTO2.3.18 32.2A 62(B) 60(C) 50

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50

Plz give me solutions

47.

YPER LOLIC UNC TIONSWrute any fou hyperbolic functions?Write the formula for sinh2x,cosh2x

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48.

3 + 7 + 11 + ...... to n terms= n ( 2 n + 1 )

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49.

3 + 7 + 11 + \ldots \text { to } n \text { terms } = n ( 2 n + 1 )

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50.

Evaluate the following limit:(A)\lim _{x \rightarrow \infty} \frac{n+1}{n}

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