PGDBA 2023 Maths Solutions

Qs 26. Let

and

, where

is non-zero and

are real numbers. Let

for some vector

. Then the value of

is

A.
B.
C.
D.

Qs 27. The value of the integral

is

A.
B.
C.
D.

Qs 28. The value of the integral

is

A.
B.
C.
D.

Qs 29. The value of

is

A.
B.
C.
D.

Consider the following figure, where each square is a house. Some pairs of houses are connected by a narrow lane, as indicated in the diagram by connecting lines.

Qs 30. Now, the owners decide to paint these houses (each with a single color) keeping in mind that two connected houses can't be painted with the same color. What will be the minimum number of different colors needed to paint all these houses?

A.
B.
C.
D.

Qs 31. The coefficient of

in the expansion of

is

A.
B.
C.
D.

Qs 32. A man standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is

. When he goes 48 meters away from the bank along the line joining the person and the tree, he finds the angle to the tree to be

. Then the height of the tree is

A.
B.
C.
D.

Qs 33. A government office assigns a distinct license plate for each vehicle registered under it. Each licence plate contains two letters of the English alphabet followed by four digits. In order to avoid confusion no licence plate is allowed to contain both the letter $O$ and the number 0 . What is the maximum number of vehicles that can be registered by this office?