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.
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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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Answer» A={1,2,3,4}B={2,4,6,8}The answer is ={1,2,3,4,6,8} |
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| 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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Answer» 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 |
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| 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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Answer» 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 |
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| 7. |
Slove any touri) If A. 2. 3. write down the set of all possible subsets of A |
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Answer» null set,{1},{2},{3},{1,2},{1,3},{2,3},{1,2,3} |
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| 8. |
Raj made 367 candles. Out of them 127were red. How many were not red?Answer:candles were notred. |
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Answer» 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 |
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| 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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Answer» 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 |
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| 14. |
te the conjugate irrational number of each of the15A 12-14 + 11J2+104+ V1ia) 12+1 |
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Answer» 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 |
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| 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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Answer» 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 |
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| 17. |
1/1+12/1 |
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Answer» Ans :- 1/1 + 12/1 = 1 + 12 = 13 |
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| 18. |
1/15 , 1/12, 1/10 ,............11, |
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| 19. |
(yi) 251-12 1 +1-101 |
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Answer» |-12|=12|-10|=10so 25-12+10=35-12=23 |
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| 20. |
Lim â. X0 Mle il |
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| 21. |
o={(L+x0)-8+1xâŹ) - ((L+190) -5} |
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Answer» [5x - 5 - (3x +7)] - [3x + 8 - (2x+7)] = 0(2x - 12) - (x + 1) = 0x - 13 = 0x = 13 ans |
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| 22. |
xlog (1 +x)limx0 (1-cos x) |
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Answer» 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 |
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| 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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Answer» 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.... |
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| 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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Answer» 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 |
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| 27. |
17) Solve for x and y: 2xty-6 and 2x-y -2 |
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Answer» 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 |
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| 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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Answer» 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. |
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| 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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Answer» (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 ? |
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| 32. |
rite re unc tion[4ăĄnits bimplest lern |
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| 33. |
3. Write six improper fractions with denominator 5.C-4with numerator 13 |
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Answer» 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 |
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| 34. |
tions.5. 6x- 121.6-1.5 |
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Answer» 6x = 12x=12/6x = 2 |
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| 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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Answer» 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) |
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| 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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Answer» Yeh question ka answer 303 |
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| 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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Answer» (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. |
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| 40. |
728616714234Ans: 70(a) 72(b) 70(c) 68(d) 66 |
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Answer» 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 |
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| 41. |
Find any two solutions of equation2xty x+5. |
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Answer» 2x+y=x+52x-x+y=5x+y=5when x=0;y=5when y=0;x=5two solution are(0,5); (5,0) |
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| 42. |
Find two solutions of the equation 15x- 2y7. |
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Answer» thank you |
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| 43. |
14. Find two solutions of linear equation 2x +3y 5. |
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Answer» Two solution of 2x + 3y = 5 are 1) x = 1 and y = 2 2) x = 5/2 and y = 0 |
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| 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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Answer» I don't know please like Convert into paisa rupees75 |
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| 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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Answer» 50 Plz give me solutions |
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| 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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