Logical Reasoning

Five friends – Umang, Viren, Xavier, Falak and Gagan collected gold on the sea shore. They collected a total of 100 gold.

None of them collected less than 10 gold each. No two among them collected the same number of gold. Following information is given regarding the number of gold with each one of them:

I.    Umang collected the same number of gold as Viren and Xavier put together.

II.  Xavier collected 3 more gold than the cube of an integer.

III. The number of gold collected by Umang was the square of an integer.

IV. The number of gold collected by Viren was the square of an integer.

V.  The number of gold collected by Falak and Gagan are in the ratio 4 : 3.

What was the number of gold collected by Viren?

Directions for questions: Read the information carefully and answer the questions given below.

Five friends – Umang, Viren, Xavier, Falak and Gagan collected gold on the sea shore. They collected a total of 100 gold.

None of them collected less than 10 gold each. No two among them collected the same number of gold. Following information is given regarding the number of gold with each one of them:

I.    Umang collected the same number of gold as Viren and Xavier put together.

II.  Xavier collected 3 more gold than the cube of an integer.

III. The number of gold collected by Umang was the square of an integer.

IV. The number of gold collected by Viren was the square of an integer.

V.  The number of gold collected by Falak and Gagan are in the ratio 4 : 3.

What was the number of gold collected by Umang?

Aigue, Bipin, Charistakis and Dimitrios are four Fashion Designers who took part in one of London fashion week, Lopez fashion week, Paris fashion week and Milan fashion week fashion shows in four consecutive months of a year (not in that order). These shows were held in Atlanta, Beijing, Indonesia and Frankfurt (not in that order). The following information is given about the previous year fashion shows which generally start in Beijing every year. No two shows were held at the same location. No two Fashion Designers participated in the same show and no one participated in more than one show.

I. Aigue did not take part in the Paris fashion week show and Charistakis's show, London fashion week was held in the month of October.

II. Lopez, the fashion show in which Dimitrios took part was in the last month of the year. He did not go to the location starting with a vowel.

III. Aigue and Bipin had common initials with the name of the respective location where their shows were held.

IV. Paris fashion week show was in September

Which fashion show was held in Beijing?

Aigue, Bipin, Charistakis and Dimitrios are four Fashion Designers who took part in one of London fashion week, Lopez fashion week, Paris fashion week and Milan fashion week fashion shows in four consecutive months of a year (not in that order). These shows were held in Atlanta, Beijing, Indonesia and Frankfurt (not in that order). The following information is given about the previous year fashion shows which generally start in Beijing every year. No two shows were held at the same location. No two Fashion Designers participated in the same show and no one participated in more than one show.

I. Aigue did not take part in the Paris fashion week show and Charistakis's show, London fashion week was held in the month of October.

II. Lopez, the fashion show in which Dimitrios took part was in the last month of the year. He did not go to the location starting with a vowel.

III. Aigue and Bipin had common initials with the name of the respective location where their shows were held.

IV. Paris fashion week show was in September

Which fashion show was held in Indonesia?

Aigue, Bipin, Charistakis and Dimitrios are four Fashion Designers who took part in one of London fashion week, Lopez fashion week, Paris fashion week and Milan fashion week fashion shows in four consecutive months of a year (not in that order). These shows were held in Atlanta, Beijing, Indonesia and Frankfurt (not in that order). The following information is given about the previous year fashion shows which generally start in Beijing every year. No two shows were held at the same location. No two Fashion Designers participated in the same show and no one participated in more than one show.

I. Aigue did not take part in the Paris fashion week show and Charistakis's show, London fashion week was held in the month of October.

II. Lopez, the fashion show in which Dimitrios took part was in the last month of the year. He did not go to the location starting with a vowel.

III. Aigue and Bipin had common initials with the name of the respective location where their shows were held.

IV. Paris fashion week show was in September

Bipin's show was held in which month?

Directions for questions: Read the information carefully and answer the questions given below.

Aigue, Bipin, Charistakis and Dimitrios are four Fashion Designers who took part in one of London fashion week, Lopez fashion week, Paris fashion week and Milan fashion week fashion shows in four consecutive months of a year (not in that order). These shows were held in Atlanta, Beijing, Indonesia and Frankfurt (not in that order). The following information is given about the previous year fashion shows which generally start in Beijing every year. No two shows were held at the same location. No two Fashion Designers participated in the same show and no one participated in more than one show.

I. Aigue did not take part in the Paris fashion week show and Charistakis's show, London fashion week was held in the month of October.

II. Lopez, the fashion show in which Dimitrios took part was in the last month of the year. He did not go to the location starting with a vowel.

III. Aigue and Bipin had common initials with the name of the respective location where their shows were held.

IV. Paris fashion week show was in September

Aigue's fashion show was in which month and which country?

Sanskaram Karoti (SK) is a spiritual organisation involved in performing spiritual rites. Currently it has 37 volunteers. They are involved in three jobs : Meditation , Yoga and Pooja. Each volunteer working with Sanskaram Karoti (SK) has to be involved in at least one of the three jobs mentioned above.

• A maximum number of volunteers are involved in Yoga. Among them, the number of volunteers involved in Yoga alone is equal to the volunteers having additional involvement in the Pooja.

• The number of volunteers involved in Pooja alone is double the number of volunteers involved in all the three jobs.

 • 17 volunteers are involved in Meditation.

 • The number of volunteers involved in Meditation alone is one less than the number of volunteers involved in Pooja alone.

• Ten volunteers involved in the Meditation are also involved in at least one more job.

Based on the information given above the maximum number of volunteers involved, in both pooja and meditation but not in yoga.

Sanskaram Karoti (SK) is a spiritual organisation involved in performing spiritual rites. Currently it has 37 volunteers. They are involved in three jobs : Meditation , Yoga and Pooja. Each volunteer working with Sanskaram Karoti (SK) has to be involved in at least one of the three jobs mentioned above.

• A maximum number of volunteers are involved in Yoga. Among them, the number of volunteers involved in Yoga alone is equal to the volunteers having additional involvement in the Pooja.

• The number of volunteers involved in Pooja alone is double the number of volunteers involved in all the three jobs.

 • 17 volunteers are involved in Meditation.

 • The number of volunteers involved in Meditation alone is one less than the number of volunteers involved in Pooja alone.

• Ten volunteers involved in the Meditation are also involved in at least one more job.

How many volunteers are involved in only yoga?

Sanskaram Karoti (SK) is a spiritual organisation involved in performing spiritual rites. Currently it has 37 volunteers. They are involved in three jobs : Meditation , Yoga and Pooja. Each volunteer working with Sanskaram Karoti (SK) has to be involved in at least one of the three jobs mentioned above.

• A maximum number of volunteers are involved in Yoga. Among them, the number of volunteers involved in Yoga alone is equal to the volunteers having additional involvement in the Pooja.

• The number of volunteers involved in Pooja alone is double the number of volunteers involved in all the three jobs.

 • 17 volunteers are involved in Meditation.

 • The number of volunteers involved in Meditation alone is one less than the number of volunteers involved in Pooja alone.

• Ten volunteers involved in the Meditation are also involved in at least one more job.

Which of the following additional information would enable to find the exact number of volunteers involved in various jobs?

Directions for questions: Answer the questions on the basis of the information given below:

Sanskaram Karoti (SK) is a spiritual organisation involved in performing spiritual rites. Currently it has 37 volunteers. They are involved in three jobs : Meditation , Yoga and Pooja. Each volunteer working with Sanskaram Karoti (SK) has to be involved in at least one of the three jobs mentioned above.

• A maximum number of volunteers are involved in Yoga. Among them, the number of volunteers involved in Yoga alone is equal to the volunteers having additional involvement in the Pooja.

• The number of volunteers involved in Pooja alone is double the number of volunteers involved in all the three jobs.

 • 17 volunteers are involved in Meditation.

 • The number of volunteers involved in Meditation alone is one less than the number of volunteers involved in Pooja alone.

• Ten volunteers involved in the Meditation are also involved in at least one more job.

Based on the information given above, the minimum number of volunteers involved in both Yoga and Meditation, but not in the Pooja is ______.