Aptitude and Reasoning Questions

What will come in the place of question mark (?) in the following question (You do not have to calculate the exact value)?

(184.002 - 29 ÷ 5) × 29.997 = ?

If 2y cosθ = x sinθ and 2x secθ - y cosecθ = 3 then what is the value of x2+4y2

Two pipes X and Y can fill an empty tank in 16 hours and 20 hours respectively. Pipe Z alone can empty the completely filled tank in 25 hours. Firstly both pipes X and Y are opened and after 6 hours pipe Z is also opened. What will be the total time (in hours) taken to completely fill the tank?

If x2+y2+z2-8x+6y-4z+29 = 0, then find the value of z(x+y).

A bag has Rs 20 in the form of 1­-rupee, 50­-paise and 10­-paise coins in the ratio of 2:3:5. Find the number of 50­-paise coins.

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

Sowing, Irrigation, Hoeing, ?

If "+" means "minus", "x" means "divided by", "÷" means "plus" and "-" means "multiplied by", then 38 x 2 – 6 + 19 ÷ 35 = ?

The following situations involve a cluster of three or more geometrical figures, having one or more dots placed at any point inside the cluster. This cluster is followed by a set of four alternative figures each composed of a cluster of the same type of figures. Now, for each dot, we have to observe the region in which it is enclosed i.e. In which of the geometrical figure this region is common. From amongst the figures marked (a), (b), (c) and (d), select the figure which satisfies the same conditions of placement of the dot as in fig. (X).