Aptitude and Reasoning Questions

Two trees are standing along the opposite sides of a road. Distance between the two trees is 400 metres. There is a point on the road between the trees. The angle of depressions of the point from the top of the trees are 45 deg and 60 deg. If the height of the tree which makes 45 deg angle is 200 metres, then what will be the height (in metres) of the other tree?

A right circular cylinder has height as 18 cm and radius as 7 cm. The cylinder is cut in three equal parts (by 2 cuts parallel to base). What is the percentage increase in total surface area?

If ( x - 5)2 + (y - 2)2 + (z - 9)2 = 0, then value of (x + y - z) is

$$\begin{gathered} ∆ABC is similar to ∆PQR. If ratio of perimeters of ∆ABC and ∆PQR is 1:2 and \\ if PQ = 10 cm then what is the length of AB (in cm)? \end{gathered}$$

Find the odd letters from the given alternatives.

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem 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 radios are electric goods.
(II) All table­lamps are electric goods.

Conclusions:
(I) Some radios are table­lamps.
(II) Some table lamps are radios.

The HCF of 24, 60 and 90 is:

If Reena sold 12 mobile phones for Rs. 1,88,160 which cost Rs. 14,056 per phone, what was the total profit made by her?