A cube is to be cut into 8 pieces of equal size and shape. Here, each cut should be straight and it should not stop till it reaches the other end of the cube.

The minimum number of such cuts required is

In the $4 \times 4$ array shown below, each cell of the first three rows has either a cross (X) or a number.

The number in a cell represents the count of the immediate neighboring cells (left, right, top, bottom, diagonals) NOT having a cross (X). Given that the last row has no crosses (X), the sum of the four numbers to be filled in the last row is

In a recently conducted national entrance test, boys constituted 65% of those who appeared for the test. Girls constituted the remaining candidates and they accounted for 60% of the qualified candidates.

Which one of the following is the correct logical inference based on the information provided in the above passage?

The corners and mid-points of the sides of a triangle are named using the distinct letters P, Q, R, S, T and U, but not necessarily in the same order. Consider the following statements :

$$\bullet$$ The line joining P and R is parallel to the line joining Q and S.

$$\bullet$$ P is placed on the side opposite to the corner T.

$$\bullet$$ S and U cannot be placed on the same side.

Which one of the following statements is correct based on the above information?