REVISION ASSIGNMENT 04 ( 26.01.2018)

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DASS AND BROWN WORLD SCHOOL

Class X            Revision assignment 04

1.       A number when divided by 61 gives 27 as quotient and 32 as remainder. Find the number.

2.       Each one of A and B has some money. If A gives Rs 30 to B then B will have twice the money left with A . But , if B gives Rs 10 to A then A will have thrice as much as is left with B. How much money does each have ?Ans- 62,34

3.       Show that 6 x 5 x 4 x 3 x 2 x 1 + 5

4.       If the product of the zeros of the polynomial ( ax²+ 6x - 6) is 4 , find the value of a .

5.       A man invested an amount 12% per annum simple interest and another amount at 10% per annum simple interest. He received an annual interest of Rs 2600. But, if he had interchanged the amounts invested, he would have received Rs 140 less. What amount did he invest at different rates ?ans- 15000,8000

6.       If (x + a) is a factor of the polynomial 2x² + 2ax + 5x  + 10 , find the value of a

7.       Find a cubic polynomial with sum of its zeroes , sum of the products of its zeroes taken two at a time and the product of its zeroes as 2,-7 and -14 respectively.

8.       Solve 3(2x+y) =7xy

           3 (x + 3y ) =11xy

9.       6(ax+by) = 3a+2b

6(bx-ay) =3b-2a

10.  

bx – ay+2ab=0

11.   Find the largest number that will divide 398, 436 and 542 , leaving remainders 7,11 and 15 respectively. Ans-17

12.   Verify that 3,-1 and  are the zeroes of the cubic polynomial p(x) = 3x³ -5x² -11x - 3 and verify the relation between its zeroes and coefficients.

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