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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. |
12 Acoin is tossed three times. Find the probability of getting at least one tail. |
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Answer» Probability of NOT getting a tail in 3 coin toss is(1/2)^3=18. Probability of getting at least 1 tail in 3 coin toss is1−1/8=7/8 |
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| 2. |
54.A coin is tossed repeatedly thrice. What is the probability that the same face appears all thethree times? |
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Answer» Let us consider all the possibilities (2^3=8) HHT, HTH HTT HHH THT TTH TTT THH From the above we can see that there are only two possibilities namely HHH and TTT. So there are only two favourable cases and eight exhaustive cases. So probability = favourable cases/Exhaustive cases = 2/8 =1/4 = 0.25 |
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| 3. |
\frac { 1 } { 2 } ( \operatorname { tan } ^ { - 1 } ( \frac { 2 + \sqrt { 3 } } { 1 - 2 \sqrt { 3 } } ) - \operatorname { tan } ^ { - 1 } ( \frac { 2 - \sqrt { 3 } } { 1 + 2 \sqrt { 3 } } ) ) |
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| 4. |
a) xfx-1, find the value of the following:al 3rI(b) -3 + 2x-1 (e)x-1 x+alue of the following: |
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Answer» please give me answer the question Complete answer provided |
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| 5. |
: Check whether 301 is a temn of the list of numbers 5, 11, 17, 23, ⌠|
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| 6. |
Example 6 : Check whether 301 is a term of the list of numbers 5, 11, 17,23,. |
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| 7. |
ample & Check whether 301 is a term of the list of numbers 5. 11. 17, 2s. We have |
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| 8. |
जा न १6. 0 2१०१९ फोर pols. Ye§ a5 Mo थेA RO (! NN R कक बी S T e |
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Answer» This was the statement made by Churchillbut no it's not right Democracyis a system in which power derives from the people (supposedly). Typically this power is decided by elections where individuals vote for whoever they think will serve their interests. |
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| 9. |
Example 38 In the given figure, PT touches the circlewhose centre is O at R. Diameter SQ when producedmeets PT at If <SPR = x° and QRPthat:= ye, show(2006) |
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| 10. |
Let A (1, 2, 3,.......14). Define a relation R from A to A byR = {(x, y) : 3x-y = 0, x, ye A} write down its domain and range |
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Answer» I don't understand |
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| 11. |
L. a) Simplify: -10+3+51,ye RGraph the solution set on the number line.[3]b) The polynomials (px' +3x2 -3) and(2x' -5x + p) when divided by (x -4) leavethe same remainder. Find the value ofp.[3]c) Given A-3 12 3Calcualte: (0)3A-2B (ii)A2-BA.[4] |
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Answer» b part also please c part also This is the first answer |
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| 12. |
s hite the negation of The number 2 is greater than 7.Nhile the sample space of the event 'A fair coin is tossed three times"Part B |
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Answer» -2 is greater than -7sample spaces{ There are8 possible outcomes, so the probability of one head must be 3/8. I believe there is a 50% chance of getting a toss of more then 1 head in 3 tosses. If you look at a chart you will see that the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH and TTT. |
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| 13. |
Prove the following:x = sin' (3x-4x3), Ď E |
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Answer» =Let sin^-1x=theta then X=sinthetaWe haveRHS, sin^-1(3x-4x^3)=sin^-1(3sintheta-4sin^3theta)=sin^-1(sin3θ)=3θ=3sin^-1x= LHS |
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| 14. |
Solve the following e1. 3x = 2x + 18 |
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Answer» 3x=2x+183x-2x=18x=18 ans 3x=2x+183x-2x=18x=18 3x = 2x+183x-2x =18X =18 3x = 2x + 18 3x - 2x = 18 x = 18 3x=2x+183x-2x=18x=18 3x=2x+183x-2x=181x=18x=18×1x=18 3x=2x+183x-2x=18x=18 |
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| 15. |
Find the range of each of the following functions(i) f (x) 2-3x, x E R, x>0. |
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| 16. |
है 9500 TR Gl b § ~ 301~ 47~ 394, oy ¢ |
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| 17. |
Jâ4x ~3 e â6x +9) |
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Answer» Ans :- -4x - 3 = -6x + 9 -4x + 6x = 9 + 3 2x = 12 x = 12/2 x = 6 |
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| 18. |
Check whether 301 is a term of the list of numbers 5, 11, 17,23, |
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| 19. |
7. If42(xy # 0), then find the value ofxs_y3.-1 |
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Answer» (x/y)+(y/x)=-1Take LCMx^2+y^2=-xyx^2+y^2+xy=0Now, x^3-y^3=(x-y)(x^2+y^2+xy)=(x-y)(0)=0 |
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| 20. |
Q19 If x,ye R and xy = 0, then prove that x=0 or y-o |
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| 21. |
25. The equation xy0 in three dimensional space isrepresented by: |
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Answer» z= constant means xy= 0 |
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| 22. |
If (27)^x=(81)^y then write x : y =? |
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| 23. |
1. Write two solutions for each of the following e() 3x +4y 7(ii) x-6y11) X2. Write two solutions of the forma |
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Answer» thanks bhai |
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| 24. |
polynomialallezeyes of quadratispolynomial plac) e 301?- 6x tu thenfind at 266 +2)+348 |
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| 25. |
1 x 5xIf x 0 andx-113x5x10then x = ?c)っ |
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| 26. |
xSolve___-2 4 3 2 |
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Answer» the answer is incorrect |
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| 27. |
Find the CMandx'- 16. |
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Answer» x^4 -16 is the right answer |
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| 28. |
The sum of 5 andx is 12 |
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Answer» 5+x=12x=12-5x=7 is the answer 5+x=12So x=12 - 5 = 7hence ans. is 7 thanks for accepting as best.😊 |
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| 29. |
fx" = 405° and yo=, find x andy.12-5n" and фе-.900° , find θ and φ0 |
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| 30. |
Angles of a triangle are x-y,x andx,xy 0 find all the angles if greatest angle is twzethe least. |
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| 31. |
re, AB I| CE and DF |I CB. Find the values of x andyAn the given50° |
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Answer» as AB॥CD,AD is transversal angleBAD=angleADC(alternate interior angles) y=60 CB॥DF&y=60 ,angleADF=180-(50+60)=70 AngleCOD=70(alternate interior angles) angleBCD=180-(60+70)=50 x&angleBCD are alternate interior angles x=50 |
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| 32. |
26. If the two pairs of lines x -2mxy - y0 andx-2nxy -y0 are such that one ofthem represents the bisector of the angles between the other, then(A) mn+ 1 0(C)0(B) mn - 1 0m nbm n |
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| 33. |
11. xis 40% of a andy is 60% of a. Write x + y in terms of a |
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Answer» x = 0.4a y = 0.6a so, x + y = 0.4a + 0.6a = 1a = a |
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| 34. |
10 r ( 6 y + 21 ) \div 5 ( 2 y + 7 ) |
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| 35. |
. Show that points P(2, -2), Q(7, 3), R(11, -1)and (6, 6) are vertices of a parallelogram. |
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Answer» ty bro |
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| 36. |
^ { \prime } x ^ { \prime } \text { if } 3 \operatorname { log } 2 + \frac { 1 } { 3 } \operatorname { log } 27 - \operatorname { log } 4 = \operatorname { log } x |
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| 37. |
If x - a andy b is solution for the pair of equations x-y -2 andx +y-4, then fincthe values of a and b. |
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| 38. |
43Solve for andy by cross-multiplication method:+ 5)7 and+ 4y-5, x 40, |
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| 39. |
solve for x andy. x-y/2=3 and x/2 -2/3y=2/3 |
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| 40. |
Proue that if x andy are odd positive in tegenthen &? ty? is even but not divisible by 4. |
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Answer» Let the two odd positive numbers be x = 2k + 1 a nd y = 2p + 1Hence x^2+ y^2= (2k + 1)^2+ (2p + 1)2 = 4k^2+ 4k + 1 + 4p2+ 4p + 1 = 4k^2+ 4p2+ 4k + 4p + 2 = 4(k^2+ p^2+ k + p) + 2Clearly notice that the sum of square is even the number is not divisible by 4Hence ifx andy areodd positive integers, then x^2+ y^2is even but not divisible by 4 |
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| 41. |
5-2andy = 5 + 2V5-26. Ifx_and y, find the value of 2 +y-xy., f. |
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| 42. |
1. side = 14 cmFind the side of the square whose perimeter is 72 cn |
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Answer» Perimeter of square=4a(where a is the side of square )72=4aa=72/4=18 |
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| 43. |
The largest conecut fron a cube of side 14 cm. Find volume of the cone. |
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| 44. |
0.15 Susceptibility of annealed iron at saturation is 5500. Find permeability of annealediron at saturation |
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| 45. |
EXERCISE 9State the property used in each of the following to make the statement truei If/|lm, then 23 47.i If 43 5, then I|Im..ifi. If 23 + 6 180째, then IIm2. In Figure 2, find the values of 46 and 27, given that mln and 413. In Figure 3, AB 11 CD. EF intersects them at P and Q, respectively.115째.Fig. 1If 1 = 130째, find all the other angles.2 mFig. 2Fig. 3PARALLEL LINES |
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| 46. |
2. Find the circumference of a circle whose diameter is uc |
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| 47. |
Exercise 5.11.Plot the following pointsin the coordinate systemand identify the quadrantsP(-7,6), Q(7,-2), R(-6,-7),S(3,5) and T(3,9)*32 -102. Write down the abscissaand ordinate of thefollowing from fig 5.11.(i) P (ii) Q(iii) R (iv) SFig 5 11 |
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Answer» is web or peach prank own Liam lean Kiran IDK ISBN ISBN tab razz p(-7,6)=2nd quadrant |
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| 48. |
11. In the figure 7.48, square ABCD isP.inscribed in the sector A-PCQ. Theradius of sector C-BXD is 20 cm.Complete the following activityto find the area of shaded region.Fig. 7.48 |
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| 49. |
prime foctorization3. 65, 91 |
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Answer» prime factorization of 65 is 5×13 prime factorization of 91 is 13×7 |
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| 50. |
(i)31, 15, 47, 91, 12, 56, 29, 61, 65, 55. |
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Answer» Arranging the numbers in ascending order, we get: 12, 15, 29, 31, 47, 55, 56, 56 , 61, 65, 91. The median term is 55 because it lies in the middle of all these terms. PLEASE HIT THE LIKE BUTTON |
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