Aptitude and Reasoning Questions

Two circles of equal radii intersect each other such that one circle will pass through the centre of the other circle. The distance between the centre of two circles is equal to 6 cm. Find the length (in cm) of common chord.

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

Consider the given statements true and decide which of the given conclusions can definitely be drawn from the given statements.

Statements :

All apples are red. No red fruits are cheap.

Conclusions :

1. All apples are cheap.

2. Red apples are not cheap.

What is the sum of the measures of all the interior angles of a regular polygon of 6 sides?

 In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be atvariance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement I: All hats are caps

Statement II: All headgears are hats

Conclusion I: No caps are headgears

Conclusion II: No headgears are caps

The angle of elevation of an aeroplane from a point on the ground is 60 deg. After flying for 30 seconds, the angle of elevation changes to 30 deg. If the aeroplane is flying at a height of 4500 m, then what is the speed (in m/s) of aeroplane?

If DE is parallel to BC and bisects the other two sides of the triangle ABC such that the ratio AD/DB = 5/13 and the length of the part EC is 26 cm. Then determine the length of AE (in cm).

 In a fraction when 3 is added to its numerator and denominator it becomes 4/5. And it becomes 1/2 when 2 is subtracted from both the numerator and denominator. Find the fraction.