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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Section-AQ1) Find the number of zerocs for the polynomialpx)y = p(x) from the given graph.y' |
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Answer» The number of zeros=number of intersection of graph with x-axis=1 |
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| 2. |
Divide the polynomial px) by the polynomial glx) and find the quotientin each of the following:p(x)=x^{3}-3 x^{2}+5 x-3, \quad g(x)=x^{2}-2 |
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| 3. |
4. If the polynomial x2x3 8x2 12x18 is divided by another polynomial x25,the remainder comes out to be px+ q. Find the values of p and q. |
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| 4. |
11. Your parents are going to buy a house. They have been offered one on themadside and another three lanes away from the roadside. Which housewould you suuggest your parents should buy? Explain your answer |
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| 5. |
12y=7y-15 |
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| 6. |
Write the smallest prime number |
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Answer» 2 is the smallest prime number thanks |
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| 7. |
. In the given figure, O is the centre of a circle.Name the radii and the diameters in the circle. |
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Answer» Radii of circleOC, OE, OB, OD, OA Diameter of circleCD, AB |
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| 8. |
21. The radil of two circles areW circles are in the ratio 3 : 5circumferences.find the ratio between their |
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Answer» 3:5 ratio of their circumstances the circumference is also same becausecircumference=2πr2πr/2πrr/r2/32;3 |
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| 9. |
3x + 2y(+) 4x + 7y |
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Answer» 7x+9y |
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| 10. |
. The radii of two circles are 19 cm and 9 cm respectivFind the radius of the circle which has circumference eto the sum of the circumferences of the two circles. |
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| 11. |
ŕ¤ŕ¤° RooS4. |
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Answer» sin /cos= tan xplease like the solution |
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| 12. |
2yâ -7y+2 =0 |
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| 13. |
(i)y2-7y + 12 |
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| 14. |
If one zero of the quadratic polynomial x*+3x+k is 2, find the value ofk. |
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Answer» Given that one zero of polynomial x^2 + 3x + k is 2 Then,For x = 2 given polynomial will be equal to 0 Hence,(2)^2 + 3(2) + k = 04 + 6 + k = 0k = - 10 Therefore, value of k = - 10 |
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| 15. |
R Lo (7a/m e o реж / oo |
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| 16. |
कल ००तीवू स००/८थिJorumlo oo 5(D uk R yJ3R+32:0 |
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| 17. |
हि e — = oG 5;e - " Roo e ool o = _ARy ge |
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Answer» the question is submitted is incomplete please post the complete question |
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| 18. |
Find the value ofk, if x -1 is factor of 4x^3 +3x^2-4x+k=0 |
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Answer» -3 ......................... ........................................ |
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| 19. |
8. Ifis a zero of the polynomial px)- 2ka2 -7x + k, then find the value ofk.2V3 |
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| 20. |
15. A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other.The radius and height of the cylindrical parts are 5 cm and 13 cm respectively. The radii of the hemisphericaland the conical parts are the same as that of the cylindrical part. Find the surface area of the toy if the total[CBSE 2002]height of the toy is 30 cm |
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| 21. |
XrWhat is the HCFof the smallest composite number andthe smallest primenumber? |
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| 22. |
what is the HCF of smallest prime mamber and the smallest composite number |
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| 23. |
52S212: Find the values of α and β fomber of solutions:r which the following system of linear equations has infini2x+37 = 7;2ax + (α + β)y = 28(Section - C) |
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Answer» the value of b in wrong the value is 8 |
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| 24. |
find the circumferences of the circle whose diameters are: 7.9 |
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Answer» Circumference = 2*(22/7)*rr = 7.9/2= 3.95 units. Circumference = 2*(22/7)*3.95= 24.83 units PLEASE HIT THE LIKE BUTTON |
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| 25. |
Find the areas of the circles whose circumferences are(a) 88 metres(b) 66 cm |
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| 26. |
e ratio of circumferences of two circles is 5:3. What is the ratio of their radi2 |
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Answer» The ratio between the radii of two circles is 5:3.2Pi is constant i.e 3.14.The radius is directly proportional to the circumference of the circle. P=2×Pi×R |
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| 27. |
The ratio of the radii of two circles is 5: 3. Find the ratio of their circumferences |
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| 28. |
3y2+ 7y + 2 I |
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Answer» 3y² + 7y + 2 = 3y² + 6y + y + 2 = 3y(y + 2) + (y + 2) = (3y + 1)(y + 2) |
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| 29. |
13. 4x2-13xy + 3y2 |
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Answer» 4x² - 13xy + 3y²4x² - 12xy - xy + 3y²4x(x - 3y) -y ( x - 3y)(4x - y) ( x - 3y) |
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| 30. |
3y2-20=160â2y? |
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Answer» 3y^2 -20=160-2y^23y^2+2y^2=160+205y^2=180y^2=36y=6 |
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| 31. |
3y2-20=160-2y? |
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Answer» 3y^2+2y^2= 1805y^2= 180y^2= 180/5y^2= 36y= 6 |
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| 32. |
5. If 18, a, b, -3 are in A.P then a =b =A) 4, 11B) 11, 4C) 2,12D) 12,2 |
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Answer» no b Given 18, a, b, -3 So, a - 18 = b-a = -3 - bSo a - 18 = b-a2a - b = 18 ......(1) b-a = -3 -ba -2b = 3 ......(2) Solving (1) and (2) we get, eq (1) - 2× eq(2)2a - b = 182a -4b = 6 So , -b + 4b = 124b = 12b = 3Therefore, a = 3 + 2ba = 3 + 6 = 9So, no option is correct as a = 9 and b = 3 u go frst Sorry for inconvenience there are some calculations mistake is previous one |
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| 33. |
The number of points in (-oo, oo), for which x2-x sinx-cosx = 0, is(A) 6(B) 4[JEE (Adva(C) 2 |
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Answer» Let , f(x) = x²-xsinx – cosx F’(x) = 2x – xcosx – sinx +sinx F’(x) = 2x – xcosx =(0,-1) F(0) = -1 So, if we see there exists only two points as the point (0,-1) makes a curve at two points Hence , it has two solutions The answer is two. |
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| 34. |
(1)x2 +x-20 = 0(4) 9y2-129+2=0 |
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Answer» 1. x² +X -20=0=> x² +5x -4x -20=0=> x(X+5)-4(X+5)=0=> (x-4)(X+5)=0=> X = 4, -5. 4. 9y² -12y +2 = 0=> y ={ +12±[(-12)² -4(9)(2)]½ }/2(9)=> y = [ 12± 6√2 ] / 18=> y = (2/3) ± (√2/3) Please hit the like button if this helped you out |
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| 35. |
3. I3 is a solution of the quadratic equation +2k-30. find the vahie ofk. |
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| 36. |
7. A necklace is made of gold and copper and weighs 65 g. If it consists of parts copp13find the weight of gold in the necklace. |
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| 37. |
प्राप्त हल का जाँच करें।3.x-4 = 4 (129-X)rV+22y2y-127329.3 (x+1) -2 (x+1) = 10x7=11 |
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Answer» 2(2y-1)=3(y+2)4y-2=3y+64y-3y=6+2y=8 2(2y-1) =3(y+2)4y-2=3y+64y-3y= 6+8y= 8 |
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| 38. |
Identify the greatest and the smallest in 2853, 7691; 1999,12002, 124a 12002, 127, 6) 9999, 124, 2)7691,184 , d) 2853, 129 |
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Answer» the correct answer is C greatest number= 12002,124smallest number= 2853,124 greatest number is 12002smallest number is 124,so answer is a) 12002, 124 ans is number a 120022,124 |
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| 39. |
2. 18000 for 3 years at 129% per annum compounded annually.2 |
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| 40. |
95 % of the cost of a fridge is Rs 1400, what is its total cost? |
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| 41. |
2) The area of a cuide is 154 Sam. What will be its circumferencesol!.. |
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| 42. |
j) 3y2-20-160-2y2 |
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Answer» 3y^2+2y^2= 1805y^2= 180y^2= 180/5y^2= 36y= 6 |
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| 43. |
(i) 3y2-20-160-2y2 |
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Answer» PLEASE LIKE THE SOLUTION |
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| 44. |
4 x^2 - 6x + 4 5 x^2 - 10 x + 6 Find the discriminant of equations 6x^2 + 7 x + 2 =0 |
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Answer» Thanks... |
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| 45. |
5)The solutions for the equations x + y = 10 and x-y-2arey=4y -6y 2the tangents to the |
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Answer» x + y = 10.......(1)x - y = 2...........(2)(1) + (2)2x = 12;x = 6;y = 4 hit like if you find it useful |
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| 46. |
Q.5.Solve the equations-4+(-11+2++x= 437. |
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Answer» It is an arithmetic seriesa = -4, d = +3-4 - 1 + 2 +..... + x = 437 Sum of the series Sn=> [2a + (n-1)d ]n /2 = 437 [ -8 + 3(n-1) ] n /2 = 437 - 11n + 3n² = 874 3 n² -11n - 874 = 0 n =(11 + 103 )/6 = 114/6 = 19 (as n is +ve only) So x = a + (n-1)d x = -4 + 3 (19-1) = 50 |
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| 47. |
UALohan's mother is 26 years older than him. The product of theis3 years from now will be 360. We would like to find Rohan's(iii) Rpresent ag(iv) A train travels a distance of 480 km at a uniform speed. If the8 km/h less,then it would have taken 3 hours more to cover the same dineed to find the speed of the train.Solution ofa Quadratic Fcuntinni |
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| 48. |
A necklace is made of gold and copper and weighs 65 g. If it consists ofind the weight of gold in the necklace.parts copper,13 |
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| 49. |
13. The ratio of monthly income to the savings of a family is 7:2. If the sathe income and expenditure. |
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| 50. |
s-theSamhe phobobilty -that they both Baue theĐа |
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