PYQs Based Test - 19 : General Aptitude

Five different books (P, Q, R, S, T) are to be arranged on a shelf. The books R and S are to be arranged first second, respectively from the right side of the shelf. The number of different orders in which P, Q and T may be arranged is ________.

The current population of a city is 1,10,250. If it has been increasing at the rate of 5% per annum, what was its population 2 years ago?

A superadditive function f(⋅) satisfies the following property:

$f\left(x_1+x_2\right)\ge f\left(x_1\right)+f\left(x_2\right)$

Which of the following functions is a superadditive function for x > 1?

Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively.

Let X, Y and Z represent the following operations:

X: rotation of the square by 180 degree with respect to the S-Q axis.

Y: rotation of the square by 180 degree with respect to the P-R axis.

Z: rotation of the square by 90 degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point T.

Consider the following three distinct sequences of operation (which are applied in the left to right order).

(1) XYZZ

(2) XY

(3) ZZZZ

Which one of the following statements is correct as per the information provided above?

Four points P(0, 1), Q(0, -3), R(-2, -1), and S(2, -1) represent the vertices of a quadrilateral.

What is the area enclosed by the quadrilateral?