Aptitude and Reasoning Questions

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?

Find the volume (in cm3) of a cube of side 7.5 cm.

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements
 
Statement I:
All cells are chargers
Statement II:
All batteries are cells

Conclusion I:
Some chargers are batteries
Conclusion II:
All batteries are chargers

In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., 'B' can be represented by 00, 13 etc., and 'A' can be represented by 55, 69 etc.

Similarly you have to identify the set for the word 'GIRL'

From the given alternatives, select the word which CANNOT be formed using the letters of the given word.

Headstrong

In the morning, X and Y walk towards each other in a park. When they meet, Y's shadow falls towards the left side of X. In which direction was X facing?

The value of tan(-405°)

The perimeter of a square is 30 cm. Find its area (in cm²).