4.89.10.11.of a container which can measure the petrol of either tanker in exact numberspeuvely find the maximumof times.Sher that any positive add integer is of the form 4m + 1 or 4m +3, where is someinteger.Bare the zeroes of the quadratic polynomial f (x) = ax + bx + c, thenevaluate 0+4+Ouadratic polynomial 2x3x1 has zeroes as a and B now from a quadraticpolynomial whose zeroes are 30 and 3B.When a polynomial 6x + 8x + 29x + 21x + 7 is divided by another polynomial3x2 + 4x + 1 the remainder is in the form ax + b find a and b.If the polynomial x + 2x + 8x + 12x + 18 is divided by another polynomial x? +5.the remainder comes out to be px +4, find values of p and q.For what values of p and q will the following pair of linear equations has infinitelymany solutions? 4x + 5y = 2: (2p+79) + ( +84)y - 24-p+1Solve the following pair of equations for x and y: - = a + b; ax -- by = 2ab8 men and 12 boys can finish a piece of work in 10 days, while 6 men and 8 boys canfinish it in 14 days. Find the time taken by one man alone and that by one boy alone tofinish the work.The sum of the numerator and denominator of a fraction is 12. If 3 is added to both thenumerator and the denominator the fraction becomes Find the fraction.A man travels 600km partly by car. It takes 8 hours and 40 minutes. If he travels320km by train and the rest by car. It would take 30 minutes more if he travels 200kmby train and the rest by car. Find the speed of the train and the car separately.For what value ok will the following pair of linear equations have no solution?2x + 3y = 9; 6x + (k-2) y (3k - 2)Find the value of a and b for which the following pair of linear equations has infinitelymany solutions: 2x + 3y = 7; (a + b) x + (2a - b) y = 21Solve the following pair of equations12.13.14.15.16.+ = 4, y= -217.Solve the given quadratic equation for x : 9x°-9 (a+b)x+ (22? + Sab +2b7) -0.LE2x2702