Q1. If A = {1,2,3,4}, then the number of proper subsets of A .

(a) 18 (b) 15 (c) 16 (d) 17

Q2. If n(A) = 3, n(B) = 2, then find n(A x A x B) = ___________

(a) 19 (b) 17 (c) 16 (d) 18

Q3. Domain and Range of the identity function are ____________.

(a) both are equal to R. (b) both are not equal (c) None of these

Q4. The sum of n terms of two A.P are in the ratio (4n + 7) : (2n + 9), find the ratio of their 15^th term :

(a) 123:67 (b) 111:60 (c) 67:40 (d) 141:91

Q5. Find the equation of the straight line that passes through (1,2) and perpendicular to the line 6x + 5y + 3 = 0

(a) 6x - 5y + 7 = 0 (b) 5x + 6y + 7 = 0 (c) 5x - 6y + 3 = 0 (d) 5x - 6y + 7 = 0

Q6. One side of rectangle lies along the line 4x - 7y + 3 = 0, Two of its vertices are (1,1) and (-2,1),find the equationof side which is parallel to given line.

(a) 4x + 7y + 15 = 0 (b) 4x - 7y + 15 = 0 (c) 4x - 9y + 3 = 0 (d) 4x - 7y - 15 = 0

Q7. A company produced 600 units in the third year and 700 units in the seventh year . Assuming that the product increases uniformly by a fixed number year, then the production in the first year is.

(a) 300 (b) 400 (c) 450 (d) 550

Q8. If log(x/y) = x + y , find dy/dx.

(a)[y(1-x)]/[x(1+y)] (b) 2y (c) 2x (d) y/x

Q9. Out of 500 car owners investigated 450 owned maruti cars and 150 owned pajero cars, 30 owned both cars . This data is

(a) correct (b) incorrect (c) can't say (d) none of these

Q10. Evaluate

(a) a/4 (b) 3 (c) 3a/2 (d) 2

Solution.


= 3a²/2a

= (3/2)a