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. |
What should be added to x^2 + xy + y^2 to obtain 2x^2 + 3xy ? |
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Answer» 2x2-x2+3xy-xy+y2X2+2xy+y2 |
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| 2. |
4.what should be added to x^2 + xy +y^2 to obtain 2x^2 + 3xy |
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| 3. |
The lateral suface area of a hollow cylinuler is 4224 cmi is cut along its height and formed a rectangular sheetof width 33em Find the perimeter of rectangular sheet" |
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| 4. |
e curved surface area of a hollow cylinder is 4375 cm2, it is cut along its heightand formed a rectangular sheet of width 35 cm. Find the perimeter of the rectangularsheet. |
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Answer» CSA of the cylinder= area of the rectangle given breadth of the rectangle=35cm area of rectangle=4375cm² l×b=4375cm² l×35=4375cm² l=4375/35 l=125cm perimeter of the rectangle=2(l+b) =2(35+125) =2×160 =320m hope this helps... Please like the solution 👍 ✔️👍 - |
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| 5. |
The numerator of a fraction is 41of a fraction is 4 less than the denominator. If I is added to hathnumerator and denominator, it becomes 5. Find the fraction. |
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| 6. |
5.Factorise: |
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| 7. |
Use Euclid's algorithm to find the HCF of 4052 and 12576. |
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| 8. |
(i) 252 और 1540(iii) 365 और 12450(v) 12576 और 4052 |
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Answer» what is the question? what is your question kya Karna h is question may what is the question |
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| 9. |
question 90)pirections: In the given question, there isa figure above the line and its water imagesare given below it. Find the correct waterimage the figure from the alternatives.90. |
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Answer» option 4 is the correct answer. as it represents the mirror image of the give sequence. |
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| 10. |
use euclids algorithm to find the hcf of 4052 and 12576 |
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| 11. |
5) Factorisea)4p2 - 9q2 |
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Answer» 4p² - 9q² (2p)² - (3q)² (2p - 3q) ( 2p + 3q) |
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| 12. |
5. Factorise:(i)x3-2x2-x+2 |
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Answer» x^3 - 2x ^2 - x + 2= x^2 ( x - 2) - 1(x - 2)= (x^2 - 1)(x - 2)= (x - 1)(x + 1)(x - 2) Therefore, factors of given equation are (x - 1), (x + 1) and (x - 2) |
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| 13. |
consecutiveoddintegers such that the sum of the first is two less than the second, and three7.more than the third is 70 |
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Answer» If the first number is n the second number is 2 more than n and the third number is 4 more than n. And, here is how you mathematically represent that n + 2(n + 2) + 3(n + 4) = 70 n + 2n + 4 +3n + 12 = 70 6n + 16 = 70 6n = 54 n = 9 => The numbers are 9, 11, 13 |
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| 14. |
x^{2}-45 x+324=0Factorise them |
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| 15. |
QWrite the degree of the polynomial 7x^8y^3+x^7y^2-3x^2y |
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Answer» The highest degree of the polynomial is 8. |
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| 16. |
ow that x = 1 is a root of polynomial 2x3-3x" + 7x-6 |
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Answer» if x= 1 is root then when we put this value in given polynomial we must get 0 . therefore 2x³ -3x² +7x -6so we put x = 12×1³ -3×1²+7×1 -62-3+7-6= 0yes x= 1 is root of given polynomial |
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| 17. |
7. a) Obtain all the zeroes of x-7x+6, if one zero of the polynomial is -3. |
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| 18. |
2. If the two zeroes of the quadratic polynomial 7x-15 x-k are reciprocals of eachother, then find 'k |
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Answer» Suppose a and 1/a are the roots Product of roots=c/a=-k/7a*1/a=-k/7hencek=-7 |
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| 19. |
Find the zeroes of the polynomial P (x) 6x2-4+10x. |
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Answer» 6x² + 10x - 4 Use discrimanat Forumla D = 10² - 4 × 6 × (-4) = 100 + 96 = 196 x = [-10 +/- √ (196) ]/12 x = (- 10 +/- 13 )/12 x = -23/12 and 3/12 |
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| 20. |
3. Find the zeroes of the polynomial P (x) = 6x2-4 + 10x. |
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Answer» 6x² + 10x - 4 Use discrimanat Forumla D = 10² - 4 × 6 × (-4) = 100 + 96 = 196 x = [-10 +/- √ (196) ]/12 x = (- 10 +/- 13 )/12 x = -23/12 and 3/12 |
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| 21. |
9. If the product of zeroes of the polynomial p(x) = ar3 - 6x2 + 11x - 6 is 4, then a = |
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| 22. |
16. If α, β are the zeroes of the polynomials f(x)x2-2x + 5, then find the quadratic polynomialwhose zeroes are α + β and-+-- |
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Answer» my quadratic equation is not that that u have taken |
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| 23. |
8. If the product of two zeros of the polynomial p(x) = 2x3 + 6x2-4x + 9 is 3, then findits third zero. |
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| 24. |
How much id he sell5.Calculate the total amount of water given in the twocontainers. The capacity of each container is 4 L. The firstcontainer is half filled. The other container is carryingone-fourth water of its capacity.L of 4L of 42 |
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Answer» 1*4/2 = 2 l 1*4/4 = 1 l Total = 2l + 1l 3 l step |
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| 25. |
Apply Euclid's division algorithm to find HCF of numbers 4052 and 420.chares |
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Answer» a = bq + r4052 = 420 × 9 + 272420 = 272 × 1 + 148272 = 148 × 1 + 124148 = 124 × 1 + 24124 = 24 × 5 + 424 = 4 × 6 + 0 HCF(4052, 420) = 4 please like and accept as best answer 420/2=210/2=105/5=21/3=7; 2x2x5x3x7; 4052/2=2026/2=1013 |
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| 26. |
5 Factorise :(0) x3- 21x+20 |
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Answer» x^3 - 2x^2 - x + 2= x^2 (x - 2) - 1(x - 2)= (x^2 - 1)(x - 2)= (x-1)(x+1)(x-2) |
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| 27. |
Factorise:(0)2x^5-2x(i)p^2 + 6p -16 |
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Answer» thanks |
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| 28. |
The average of 25 consecutive oddintegers is 55. The highest of theseintegers is |
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| 29. |
sum of odd integers from 1 to 2001Find the sum of odd integers fi |
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Answer» Integers from 1 to 2001 are 1,2,3,4,......2001 Odd integers from 1 to 2001 are 1,3,5,......1999,2001 this sequence forms an A.P as difference between the consecutive terms is constant. So the A.P is 1,3,5......1999,2001Here,First term = a = 1Common difference = d= 3-1= 2n=1001& last term = l = 2001 Sn=n/2(2a+(n-1)d)=1001/2(2×1+(1001-1)×2)=1002001 |
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| 30. |
1 Find the sum of odd integers from 1 to 2001. |
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| 31. |
1. Find the sum of odd integers from 1 to 2001. |
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| 32. |
.It is being given that 1 is one of the zero of the polynomial 7x-*- 6. Find its other zeroes |
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| 33. |
It being given that 1 is a zero of the polynomial (7x-x-6), find itsother zeros.XAMPLE 10 |
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Answer» 1 is one of the zeros of the given polynomial 7x - x^3 - 6=0 when x = 1 , 7x - x^3 - 6 = 0 => x - 1 is a factor of the polynomial 7x -x^3 - 6=0 Factorize the polynomial so that x - 1 becomes one of its factors now, 7x - x^3 - 6 = - (x^3 - 7x + 6) = - (x^3 - x^2 + x^2 - x - 6x + 6) = - {(x*3 - x^2) + (x^2 - x) - 6(x - 1)} = - {x^2(x - 1) + x(x - 1) - 6(x - 1)} = - (x - 1)(x^2 + x - 6) - (x -1){ x^2 + 3x - 2x - 6} = - (x - 1){(x^2 + 3x) - (2x + 6)} = - (x - 1){x(x + 3) - 2(x + 3)} = - (x - 1)(x + 3)(x - 2) The other factors of the polynomial are (x + 3) and (x - 2). The other roots of the polynomial is -3 and 2. |
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| 34. |
It is being given that 1 is one of the zero of the polynomial 7x - x3 - 6. Find its other zeroes. |
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| 35. |
Ltxx +1001 10 |
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| 36. |
2. Sum of the zeroes of the polynomial 6x2 +13x +7 will be |
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Answer» thnq for helping me i have done it wrong in a lengthy method |
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| 37. |
1.It is being given that 1 is one of the zero of the polynomial 7x -x3-6. Find its other zeroes. |
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| 38. |
Abs(-13) |
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Answer» +13 is the correct answer to this question. because the sign of mod eliminates the negative sign . l-13l =13 because lxl is a function called modulus or absolute function which gives positive output whatever be the input positive or negative. |-13| = + 13;the correct answer 13 is the correct answer of the given question within mode -13=13because the value within mode become positive |
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| 39. |
Find the sum of odd integers from 1 to 2001, |
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| 40. |
Find the sum of odd integers from 1 to 2001 |
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| 41. |
11.If ABs PQ and Po-XY then prove that AB+ XY. Explain by drawing the fig.13j |
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| 42. |
( \frac { - 5 } { 12 } ) + \ldots = ( \frac { - 5 } { 12 } ) |
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| 43. |
5/12 +12/5 |
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Answer» 5/12+12/5Taking LCM,(25+144)/60=169/60 |
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| 44. |
27. Find Ltx>0sin7x - sintsinór |
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Answer» yes1 is the right answer above solution is absoulitely right yes answer is 1 and above solution is right |
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| 45. |
8.LMNIn Î LMN, ray MT bisectsIfLM = 6, MIN = 10,TN = 8,then find LT.610Fig. 1.42 |
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| 46. |
\{ \frac { 7 } { 5 } \times ( \frac { - 3 } { 12 } ) \} + \{ \frac { 7 } { 5 } \times \frac { 5 } { 12 } \} |
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Answer» {7/5 × (-3)/12 } + { 7/5 × 5/12}-21/60 + 35/60(35-21)/6014/607/30 |
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| 47. |
Find the limits:() Lt xx+1] |
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| 48. |
o of the polynoniary0lt being given that 1 is a zero of the polynomial 7x--6).find itsother zeros. |
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Answer» Like my answer if u find it useful |
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| 49. |
Abs(-5 %2B 5)*Abs(-3 %2B 7) |
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Answer» the answer will be 0 |7-3|*|5-5||4|*04*0=0 the correct answer is 0 |
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| 50. |
Find the zerocs of the quadratic polynomial6x2-3-7x and verify the relationship betweenthe zeroes and its coefficients. |
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