List of top Questions asked in GATE DA- 2026

P, Q and R are three points on a circle of radius 10cm with O as its center. PQ = RQ and $\angle$PQR = 45$^\circ$ the area of the shaded region PQRO is __________ cm$^2$.

Consider the following Python code: 

If \( xyz \) is a three-digit number and the product of its digits is \( 70 \), then find the sum of the digits.

Given the Python code: 

Which of the following recurrence relations represents the average case time complexity of QuickSort?
Consider a binary tree whose preorder traversal is \[ P, Q, S, E, R, F, G \] and inorder traversal is \[ S, Q, E, P, F, R, G. \] Which of the following statements is correct?
In a data warehouse, a 3D cube initially has dimensions: Product type, Month, and Country. After visualization, the dimension Country is refined into State. Which OLAP operation is performed?
Node size = 4096 B
Node pointer = 10 B
Search key = 11 B
Record pointer = 12 B
Find the maximum number of node pointers.
Consider the ER model:
E1 (A11, A12, A13)
E2 (A21, A22, A23)
Where:
- A21 is the key of E2
- A22 is a multivalued attribute
- R12 is a many-to-many relationship between E1 and E2
Find the minimum number of relations required to convert this ER model into tables.
Consider the relation \( R(A, B, C, D, E) \)
Functional Dependencies:
\[ A \rightarrow BC \] \[ CD \rightarrow E \] \[ E \rightarrow A \] Find the number of candidate keys.
Which of the following logical statements is not valid?