Aptitude and Reasoning Questions

Find the odd word/letters/numbers pair from the given alternatives.

Determine the value of ‘r’ for which the equation 13x + 5 = rx + 18 has no solution.

An office worker walks 4 km East from his home to reach a taxi-stand. He catches a taxi from there which goes 10 km South, then the taxi turns right and goes a further 15 km. Here he gets down and takes a bus. This bus travels 2 km North, then travels 3 km West then it turns to its right and travels 8 km to reach the man's office. Where is this man's office with respect to his home?

If Cot θ = 24/7, then Sin θ = ?

Find the sum of interior angles of a dodecagon?

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

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).

A piece of paper is folded and cut as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.