Aptitude and Reasoning Questions

A thief is stopped by a policeman from a distance of 350 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 7 km/h and that of police man as 12 km/h, how far the thief would have run, before he is over taken?

PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be

In a certain code language, '+' represents 'x', '-' represents '+', 'x' represents '÷' and '÷' represents '-'. What is the answer to the following question?

54 x 9 - 3 ÷ 4 = ?

The perimeter of two similar triangles ABC and PQR are 36 cms and 24 cms respectively. If PQ = 10 cm then the length of AB is

Given below is a statement followed by some conclusions. Decide which of the given conclusions logically follows from the given statements.

Statement : Fortune favors the brave.

Conclusions :
I. Risks are necessary for success.
II. Cowards die many times before their death.

Consider the given statement(s) and decide which of the given assumption(s) is/are implicit in the statement.

Statement:
"The use of antibiotic tablets, destabilises the gut bacteria".

Assumptions:
I. There are friendly bacteria in the gut.
II. Gut health is foremost for overall health.

X attempts 94 questions and gets 141 marks. If for every correct answer 4 marks is given, and for every wrong answer 1 mark is deducted, then the number of questions wrongly answered by X is __.

If 1/4th of the wall is painted blue, 1/2 is painted yellow and remaining 3 m is painted white, what is the length of the wall?