Except for the following questions, all the remaining questions have been asked in Set - I.
Q. 1. If 
Q. 4. If (x - 1) (x + 4) is the HCF of the polynomials
p(x) = (x2 + 2x - 3) (2x2 + 5x + a) and q(x) = (x2 + x -12) (3x2 – x + b).
Find the values of a and b.
Q. 8. A household article is available for Rs. 1,500 cash payment or Rs. 360 cash down payment followed by three equal monthly instalments. If the rate of interest charged under the instalment scheme is 16% per annum, find the amount of each instalment.
Q. 10. Find the sum of all natural numbers between 100 and 200 which are divisible by 4.
Q. 11. Draw the graphs of the equations:
4x - 5y + 16 = 0 and 2x + y - 6 = 0
Determine the vertices of the triangle formed by the lines and the x-axis.
Q. 14. The Arithmetic Men of the following frequency distribution is 53. Find the value of P.
| Classes | 0 -20 |
20 - 40 |
40 - 60 |
60 -80 |
80 - 100 |
| Frequency | 12 |
15 |
32 |
p |
13 |
Q. 16. A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is
Q. 22. Prove that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Using the above, in Figure 4, find PR and PQ, when QR = 26cm, P0 = 6cm and OR = 8 cm.
