TEST PSEB

Test PSEB

Q.1. Solve the following system of equation.

15x + 4y = 61

4x + 15y = 72

..Q.2. Reduce the following national expression to its lowest terms:

Q.3. A suit is available for Rs. 1500 cash of for Rs. 500 cash down payment followed by 3 monthly installments of Rs. 345 each. Find the rate of interest changed under the installment scheme.

Q.4. A Loan has to be returned in two equal annual installments. If the rate of interest is 16% per annum compounded annually and each installment is of Rs. 1682. Find the sum borrowed and the total interest paid.

Q.5. If (x – 2) is a factor of x 2 + ax + b and a + b = 1. Find the values of a and b.

Q.6. Using the quard value formulae. Solve the following equation for x : abx + (b 2 – ac) x – bc = 0

Q.8. Find the sum of the following arithmetic Progression 1 + 3 + 5 + 7 + ......... + 199.

Q.9. Show that a line parallel to the parallel sides of a trapezium divides the non-parallel sides Proportionally.

.

Q.10. Solve for x

Q.11. Find graphically, the vertices of the triangle formed by the x-axis and the lines.

2x – y + 8 = 0

8x + 3y – 24 = 0

Q.12. Compute the missing frequencies ‘f 1 ’ and ‘f 2 ’ in the following data if the mean is and the

sum of observation is 52..

Q.13. An unbiased dice is loosed

(i) Write the sample space of the experiment.

(ii) Find the probability of getting a number greater than 4.

(iii) Find the probability of getting a Prime number.

Q.14. The pie chart (as shown in the figure) segments the amount spent on different sports by a sports club in a year. It the total money spent by the club an sports is Rs. 1,08,000. Find the amount spent an each sport.

Q.15. From the top of a tower bom high, the angles of depression of the top and bottom of a building chose base is in the same straight line with the base of the tower are observed to be 30° and 60° respectively. Find the height of the building.

Q.16. A solid toy is in the form of a hemisphere surmounted by a right circular cone. If the height of the cones is 4 cm and diameter of the base is 6 cm calculate: (i) The volume of the toy. (ii) Surface area of the toy. (Q.17. The volume of the mater which can be filled in the booked = volume of frustum=

                             

                           h = 8 cm, R = 9 cm and r = 3 cm.

Q.18. Anils total annual salary excluding HRA is Rs. 196,000. The contributes Rs. 5,000 per month in his G.P.F. How much he should invest in N.S.C. to get maxi-mum rebate? After getting maximum rebate he wants to pay income tax in equal monthly installments. Find the amount which should be deducted per

month towards tax from his salary. Assuming the following for calculating income tax.