Hey can you please provide me AP SSC Maths Important Questions?

As you want the Important Questions of AP SSC Maths so here I am providing you some important questions:


Question 1:
Prove ∼ (p ⇒ q ) ≡ p Λ ∼ q.

Question 2:
If A B, then prove A ∪ B = B.

Question 3:
If f(x) = x + 2, g(x) = x - 3, find (fog)−1 x.

Question 4:
Solve x2 − 6x + 8 > 0.

Question 5:
A sweetshop makes gift packet of sweets combines two special types of sweets A and B which weight 7 kg. Atleast 3 kg of A and no more than 5 kg of B should be used. The shop makes a profit of Rs. 15 on A and Rs. 20 on B per kg. Determine the product mix so as to obtain maximum profit (write inequalities only).

Question 6:
If the sum of the first 'n' natural numbers is S1 and that of their squares S2 and cubes S3, show that 9S2 2 = S3(1 + 8S1).

Question 7:
Draw the graph of y = x2 −5x + 6.

Question 8;
Maximise f = 5x + 7y subject to the constraints 2x + 3y ≤12, 3x + y ≤12, x ≥0, y ≥0

Question 9:
Number of elements in the range of Constant function
A) 1
B) O
C) 2
D) Infinite

Question 10:
If (x - 2) is exactly divisible by x3 −3x2 + 4x + k then k = ?