1
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $\alpha, \beta, \gamma$ are the roots of the equation $x^3+p x^2+q x+r=0$, then $\alpha^3+\beta^3+\gamma^3=$
A

$p^3-3 p q+r$

B

$p^2-2 p q+r$

C

$3 p q-3 r-p^3$

D

$3 p q+3 r+p^3$

2
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If all possible 4 -digit numbers are formed by choosing 4 different digits from the given digits $1,2,3,5,8$ then the sum of all such 4 -digit numbers is

A

199980

B

999990

C

506616

D

479952

3
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The number of ways of forming the ordered pairs $(p, q)$ such that $p>q$ by choosing $p$ and $q$ from the first 50 natural numbers is
A

1275

B

1250

C

1225

D

1200

4
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The number of ways in which a committee of 7 members can be formed from 6 teachers, 5 fathers and 4 students in such a way that at least one from each group is included and teachers form the majority among them, is

A

1865

B

2370

C

3050

D

4380