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MOST IMPORTANT QUESTIONS CLASS X MATHS SA-1

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MOST IMPORTANT QUESTIONS (POLYNOMIALS) Q1 . Given that the zeroes of the cubic polynomial x3 6x2 + 3x + 10 are of the form a, a + b, a + 2b for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial. Q2- Given that 2 is a zero of the cubic polynomial 6x3 + 2 x2 10x 4 2 , find its other two zeroes. Q3-Find k so that x2 + 2x + k is a factor of 2x4 + x3 14 x2 + 5x + 6. Also find all the zeroes of the two polynomials. Q4-Given that x 5 is a factor of the cubic polynomial x3 3 5x2 + 13x 3 5 , find all the zeroes of the polynomial. Q5- For which values of a and b, are the zeroes of q(x) = x3 + 2x2 + a also the zeroes of the polynomial p(x) = x5 x4 4x3 + 3x2 + 3x + b? Which zeroes of p(x) are not the zeroes of q(x)? MOST IMPORTANT QUESTIONS ( LINEAR EQUATIONS IN TWO VARIABLES) Q6-Find the values of x and y in the following rectangle Q7-If x+1 is a factor of 2x3 + ax2 + 2bx + 1, then find the values of a and b given that 2a 3b = 4. Q8- Two years ago, Salim was thrice as old as his daughter and six years later, he will be four years older than twice her age. How old are they now? Q9- The age of the father is twice the sum of the ages of his two children. After 20 Years , his age will be equal to 20 years more than the sum of the ages of his children. Find the age of the father Q10- Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Find the numbers. Q11- There are some students in the two examination halls A and B. To make the number of students equal in each hall, 10 students are sent from A to B. But if 20 students are sent from B to A, the number of students in A becomes double the number of students in B. Find the number of students in the two halls. Q12- A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an additional charge for each day thereafter. Latika paid Rs 22 for a book kept for six days, while Anand paid Rs 16 for the book kept for four days. Find the fixed charges and the charge for each extra day Q13- In a competitive examination, one mark is awarded for each correct answer while mark is deducted for every wrong answer. Jayanti answered 120 questions and got 90 marks. How many questions did she answer correctly? janakrajkalia

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