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. |
-XThe inverse of the function f(x) =isf(x)=\frac{e^{x}-e^{-x}}{e^{x}+e^{-x}} |
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| 2. |
rationalisingSimplify: T5-12-5the denominatorby |
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| 3. |
e. If lal-3 and Ib|-5 , Iİ|-7 and a + b+8c = 0 then0 thenfind the angle between a & b |
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| 4. |
14.Express the following expression in the form of a +ib:(5+2)-(5-NE) |
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| 5. |
What is the degree of the polynomial m2 Ă n3 x s4 Ă t5? |
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Answer» Degree means the highest power of equation. Degree of polynomial is 5. |
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| 6. |
\frac{7+5 i}{3-2 i} Represent this in A+iB form. |
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| 7. |
In an A. P. if a = 2 andt5= 12, find t2, t3, t4. |
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Answer» thanks you so much |
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| 8. |
In the figure, ABCD is a rectangle and ะะก-EC and D is themidpoint of AE. Find how many pairs of congruent trianglesare there? W'rite the congruence in symbolic torm. |
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| 9. |
pairoflinearequationSolve each of the following pairs of equations by reducing them to a31 1-2-2r+ yi)r)r-1 y-2iv)6x+3y=6xy2x +4y 5xy13 |
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Answer» Crop only the question that you want a solution for. We will not be able to provide solutions to multiple questions. i want all questions |
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| 10. |
nany arithmetic progresaions with 10 terms are there, whose firat torm is in the sot (1, 2, 3, 4)and whoae common difference is in the set (3, 4, 6,0,7) |
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Answer» The first term can be any of the three numbers from the set 1, 2 and 3,4. Therefore, the first term can be chosen in 4 ways. wrong answer |
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| 11. |
tan-1x+cot-1x=π/2 |
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Answer» Take sin on both sides sin(tan−1x+cot−1x) We know that tan−1x+cot−1x=pi/2, where −∞<x<∞ =sin(tan−1x+pi/2−tan−1x) =sin(pi/2) =1 Hence proved |
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| 12. |
Express 3 2/5% as a fraction |
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Answer» Soln:3 2/5%=17/5%=17/5×1/100=17/500 Ans |
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| 13. |
2x (3x + 5xy) |
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Answer» 2x (3x + 5xy)6x² + 10x²y |
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| 14. |
sin-1x+cos-1x= |
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| 15. |
2. Express 3 - in the form of decimal. |
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Answer» So 8*3= 24now 24+1= 2525/8= 3.125 3.125 is the correct answer 3.125 is your answer the correct answer are 3.125 3⅛=25/8=3.125there you go😁 3.125 is correct answer given 8×3+1/8=25/8 =3.125 (8×3+1)/825/83.125 is the right answer 25/8=3.12 is the ans 3.1 is the correct answer 3.125 is the correct answer 3.15 is answer of following question 3.125 is the correct answer 3.125 is the correct answer |
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| 16. |
5. Express3of an hour in minutes |
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| 17. |
express 3÷5 as a rational number with numertor |
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Answer» 3÷4 will be represent as 3/5 |
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| 18. |
Check the validity of the following statements.i) p: 100 is a multiple of 5 and 4ii) q: 125 is a multiple if 5 and 7.ili) r: 60 is a multiple of3 or 5.1. |
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| 19. |
find the mean of first six multiple of 5 |
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| 20. |
n(n+1)(n+5) is a multiple of 3. |
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Answer» When n = 1, n(n+1)(n+5) = 1*2*6 = 12, which is divisible by 3. So let he statement P(K): k(k+1)(k+5) is divisible by 3 is TRUE. ii) P(k+1): (k+1)(k+2)(k+6) ==> P(k+1) = (k+1)(k+2){(k+5) + 1} = [k(k+1) + 2(k+1)]*{(k+5) + 1} = k(k+1)(k+5) + 2(k+1)(k+5) + k(k+1) + 2(k+1) = k(k+1)(k+5) + (k+1)[2(k+5) + k + 2] = k(k+1)(k+5) + (k+1)(3k+12) = k(k+1)(k+5) + 3(k+1)(k+4) Thus, P(k+1): P(k) + Multiple of 3 [From (i) P(k) is k(K+1)(k+5) is divisible by 3] So both terms are divisible by 3 and hence P(k+1) is also divisible by 3 Hence it is proved that the statement is divisible by for two consecutive terms. So the statement "n(n+1)(n+5) is divisible by 3 for all n element of natural numbers" is TRUE. |
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| 21. |
Express (3+i)(4- i)/(5+i)in the form a +ib |
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| 22. |
2.Find the square of the number 42. |
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Answer» 42x42=1764. |
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| 23. |
(vTwo-fifth of y subtracted from y2 gives 42. |
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Answer» The question says y² -(2/5)y = 42 => 5y²-2y- 210. , D = (-2)² -4(5)(-210) = 4204=> y = (2±√4204)/2 so, y can be 6.6838 and 6.2838 |
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| 24. |
V1) 6x+ 3y = 6xy2x + 4y = 5xy |
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Answer» 6x+3y-6x-12y=6xy-15x-9y=-9xyxy-y=0y(x-1)=0y=0 then 6x=0 so x=0 orx=1 then 6+3y=6y so y=2 6u+3v=6, 2u+4v=5 |
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| 25. |
at will be the cost of (9x +1ly) books at the rate of (2x-3y)(1)き(18x2-5xy _ 33y?) (2)て(18x2 + 49xy-33y 2 )(3)き(18x2 + 5xy-33уг) (4)き(18x2-49xy-33y?)7. |
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Answer» Cost will be (2x-3y)(9x+11y)=18x^2-5xy-33y^2option (1) is correct |
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| 26. |
5)Write the fractional name of 7/20 6) The difference between the 8th rnultiple of 7 and the 7thmultiple of 8 is5 |
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Answer» 8th multiple of 7 = 567th multiple of 8 = 56Difference is = 0 |
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| 27. |
☺the threeand 130Peason.Corners of a quadrilateral are to soMespectively, find the Mind of the fourth |
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Answer» fourth person is 140 The answer is 80° because the sum of quadrilateral is 360 so‚just 70+80+130+let third x =360 and sum = 80° fourth question 140 g jb tcbr forth person will be 80 forth person will be 80 80° is the correct answer |
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| 28. |
7. Two dice are thrown at the same time and the produet of numbers appearing on them is noted.Find the probability that the product is less than 9.h tormthen find its 17th term. |
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Answer» Given that two dice are rolled.Then the total possible outcome n(S) = 6 × 6 = = 36Let E be the event of getting a product less than 9.The number whose product is less than 9are {1,1},{1,2},{1,3},{1,4},{1,5},{1,6},{2,1},{2,2},{2,3},{2,4}{3,1},{3,2},{4,1},{4,2},{5,1},{6,1} Favourable numbers = 16.Therefore the required probabilityP(E) = n(E)/n(S) = 16/36 = 4/9. |
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| 29. |
- put anong(1x), das h(t) ais |
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| 30. |
SyEXERCISE - 4.3Solve each of the following pairs of equations by reducing them to a pair of linear quan-21-6iexflybiky2x+4y - 5xySale 2019-21 |
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Answer» let 1/ x-1=d; 1/y-2=v su+v=2_______(1), su-3v=1___(2); (1)×3 isu+ 3v=6______(3), (2)+(3) __ 2u=1; u=1/3; v-1/3; x-1=3; x=4, y-2=3; y=5 |
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| 31. |
A number increased by 20% gives 42 . The number is............ |
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| 32. |
24 Show that the points A(0, 6), B(2, 1) and C(7, 3) are three corners of a squareABCD. Find (i) the slope of the diagonal BD and (ii) the coordinates of the |
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Answer» thank you |
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| 33. |
write all 2 digits multiple of 4 |
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Answer» Two digit multiples of 4: 12162024283236404448525660646872768084889296 |
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| 34. |
2 multiple of 55 multiple of 2 |
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Answer» 2 multiple of 5 are 10,15 5 multiples of 2 are 4,6,8,10,12 |
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| 35. |
Seven more than half of a number is 42. Find the number. |
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| 36. |
The sum of three times a number and 15 is 42. Find the number. |
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Answer» Let the number be x ATQ 3x+15 = 42=> x = (42-15)/3 = 27/3 = 9 |
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| 37. |
7, A number increased by 20% gives 42. The number is(b) 28(a) 35(c) 36 |
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Answer» thanks |
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| 38. |
IK The ite coartlation Shrtoshis ite, that on a advers dan gt) cohat in the Bobahilhty hat Hwor notC0 |
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| 39. |
Find the square of the number 42. |
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Answer» the square of the number 42 is 1764 |
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| 40. |
1. The sum of three times a number and 15 is 42. Find the number. |
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| 41. |
ind the 12th, 24th and nth term of the A.P. given by 9,13, 17, 21, 25, |
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| 42. |
19. Express 3.35 in the - Torm.20 Divide the polynomial x + 3x2 + 3x + 1 by x +1 and find the remaindersOR |
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| 43. |
8.XY is a line parallel to side BČ of a triangle ABC. If BE lAC and CFRAB meer XY at Eand F respectively, show thatar (ABE)- ar (ACF)D |
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| 44. |
. There is an equilateral triangle of which theside is 2m. With all the three corners ascentres circles are described each of radium1m. Calculate the shaded area. |
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Answer» Side of Equilateral Triangle = 2 m Area of Triangle = A = √3/4 a² = √3 / 4 × 2 × 2 = √3 m² Radius = 1 m Area of 3 sector = 3 × πr²ø / 360 = πr²ø / 120 = 22/7 × 1 × 1 × 1 × 60 / 120 = 22 / 7 × 1 / 2 = 11 / 7 = 1.57 m² Area of Shaded Portion = Area of Triangle - Area of 3 Sector = 1.73 - 1.57 = 0.16 m² |
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| 45. |
Instead of adding 27 to a number, Pooj subtracted it from the number and got wrong answer.If her answer was exactly,one-third of the correct answer, what was theNumber?9timas the first |
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Answer» Therefore, the required number is 54. |
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| 46. |
The sum of two numbers is 42. If second number is twice the first one, findthe number.l. |
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| 47. |
write 5 multiple of 5 |
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Answer» Multiple of 5 are 5, 10, 15, 20, 25 Hit like and BeScholr |
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| 48. |
Estimate by rounding off to the nearestten.(i) 1853 + 706 + 142(ii) 8285 - 2832(iii) 168 x 132 (iv) 631 293 |
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Answer» 2701. -27005453. -545022176. -22180184883. -184880 1) 27002) 54503) 221804) 184880 |
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| 49. |
und each of the following numbers to the nearest ten:36(b) 173(c) 3869 |
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| 50. |
Write the equivalent fraction of 3/2 with numerator |
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Answer» equivalent fraction of 3/2 is (3×4)/(2×4) = 12/8 |
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