PYQs Based Test - 20 : General Aptitude

If f(x) = x² for each x ϵ (-∞,∞), then $\frac{f(f\left(f\left(x\right))\right)}{f\left(x\right)}$ is equal to ___

There are five levels {P, Q, R, S, T} in a linear supply chain before a product reaches customers, as shown in the figure.



At each of the five levels, the price of the product is increased by 25%. If the product is produced at level P at the cost of Rs. 120 per unit, what is the price paid (in rupees) by the customers?

In the above figure, O is the center of the circle and, M and N lie on the circle.

The area of the right triangle MON is 50 cm ².

What is the area of the circle in cm ²?

In a 500 m race, P and Q have speeds in the ratio of 3 ∶ 4. Q starts the race when P has already covered 140 m.

What is the distance between P and Q (in m) when P wins the race?

The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of the fixed axes 1-1, 2-2 or 3-3 chosen uniformly at random.

What is the probability that the disc DOES NOT retain the same front and rear views after the flipping operation?