Dear Reader, Below are three logical questions to practice for CTS. These are not hard to answer, but a good understanding of the question is important.

Question 1

A marketing company devised a methodology of spreading its message through one another. One person can tell it to 3 persons in 4 minutes and these three persons tell the other three persons each in further 4 minutes and the process continues so on. How many minutes will it take to spread the message to 2187 persons.

a) 48 minutes b) 24 minutes c) 32 minutes d) 28 minutes

Answer : d) 28 minutes.

Solution :

3 persons are told in 4 minutes
9 persons are told in 8 minutes
27 persons are told in 12 minutes
81 persons are told in 16 minutes
243 persons are told in 20 minutes
729 persons are told in 24 minutes.
2187 persons are told in 28 minutes

Question 2

A secret can be told to only 2 persons in 3 minutes. Each person in turn tells 2 other persons in the next minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way?

a) 1024 b) 2048 c) 512 d) 4096

Answer : a) 1024

Solution :

In three minutes the secret is told to -- 2 persons
In six minutes (from start) the secret is told to - 4 persons
In nine minutes (from start) the secret is told to - 8 persons
In 12 minutes the secret is told to - 16 persons
15 minutes - 32 persons
18 minutes - 64 persons
21 minutes - 128 persons
24 minutes - 256 persons
27 minutes - 512 person
30 minutes - 1024 persons

Question 3

A multi level marketing devised a training program by which a trainer could convince 40 persons every 60 minutes he conducts the program. And in the next 60 minutes those each of those 40 persons will convince 40 persons. If this process is repeated how many people can be trained/convinced by the company in 300 minutes?

a)2560000 b) 102400000 c) 64000 d) 5120000

Answer : b) 102400000

Solution :

One trainer convinces/trains in 60 minutes - 40 people
120 minutes - 40 x 40 = 1600
180 minutes - 1600 x 40 = 64000
240 minutes - 64000 x 40 =2560000
300 minutes - 2560000 x 40 = 102400000 people