Aptitude and Reasoning Questions

Three numbers are given in which the second is triple the first and is also double the third. If the average of the three numbers is 66. Find the first number.

A girl walking at the speed of 2 km/hr covers a certain distance in 7 hours 30 minutes. If she covers the same distance by cycle in 5 hours, then what is the speed (in km/hr) of cycle?

PQ is the chord of a circle whose centre is O. ROS is a line segment originating from a point R on the circle that intersect PQ produced at point S such that QS = OR. If ∠QSR = 30°, then what is the value (in degrees)of POR?

A polygon has 9 sides. What is its interior angle?

The smallest of the fractions among 5/8, 3/4, 13/16, 7/12 is ___.

In the following question, four number pairs are given. The number on left side of (–) is related to the number of 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.

Below are given statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with the commonly known facts.

Statements :
1) Beacuse of motor vehicles like cars, pollution has increased manifold.
2) Resiratory diseases are increasing due to pollution.

Conclusions :
1) If cars were not there pollution would be nil.
2) Doctors earn a lot due tgo pollution.

Decide which of the given conclusions logically follows from the given statements.

Consider the given question and decide which of the following statements is sufficient to answer the question.

What are the values of p, q and r?

Statements :

$$\begin{gathered} 1. p+q2 = 16 \\ 2. p - q = 4; r = 2p \end{gathered}$$