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Test: CAT Logical Reasoning & Data Interpretation- 7 - CAT MCQ


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Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 1

Directions: Read the information carefully and answer the question that follows.

Apple launched its tablet i-pad on April 1, 2010. For the tablet, which was sold exclusively online, the bookings started on April 1, 2010 and ended on September 30, 2010. There was only 1 model in the entire line up and it was offered at a fixed price. There were 3 modes of booking. Premium booking (product delivered in the same month at 5% premium), i.e. one had to pay 105% of the price of the tablet.
Normal booking (product delivered in the next month), i.e. if the booking was done in the nth month, it was delivered in the (n + 1)th month, without any extra charge.
Discounted booking (product delivered in next to next month), i.e. if the booking was done in the nth month, it was delivered in the (n + 2)th month, at 2% discount, i.e. one had to pay 98% of the price of the tablet. The payment for all kind of deliveries was done in the month of the booking.

In every month, except April, exactly 1/5th of the bookings were normal bookings.

The following table gives the number of bookings and the number of deliveries for the given period.

Q. What is the number of discounted bookings of tablets in May?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 1

Let the number of normal bookings in August be 'a'. The construction of the following table shall be useful.

Now, if we see the column for October,
Number of deliveries made in October = Number of normal bookings in September + Number of discounted bookings in August
790 = 272 + 1135 - a
Or, a = 617
Now, the value of 'a' can be verified from the column for November.
Number of deliveries made in November = Number of discounted bookings in September = 148 + a
Putting 'a' as 617 in the above equation, we get the number of deliveries in November as 148 + 617 = 765
This is given in the table.
Now, substituting the value of 'a' as 617 in the above table, we get the following table.

There were 577 discounted bookings of tablets in May.

Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 2

Directions: Read the information carefully and answer the question that follows.

Apple launched its tablet i-pad on April 1, 2010. For the tablet, which was sold exclusively online, the bookings started on April 1, 2010 and ended on September 30, 2010. There was only 1 model in the entire line up and it was offered at a fixed price. There were 3 modes of booking. Premium booking (product delivered in the same month at 5% premium), i.e. one had to pay 105% of the price of the tablet.
Normal booking (product delivered in the next month), i.e. if the booking was done in the nth month, it was delivered in the (n + 1)th month, without any extra charge.
Discounted booking (product delivered in next to next month), i.e. if the booking was done in the nth month, it was delivered in the (n + 2)th month, at 2% discount, i.e. one had to pay 98% of the price of the tablet. The payment for all kind of deliveries was done in the month of the booking.

In every month, except April, exactly 1/5th of the bookings were normal bookings.

The following table gives the number of bookings and the number of deliveries for the given period.

Q. In which month was there the highest increase in premium bookings of tablets as compared to the the previous month?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 2

Let the number of normal bookings in August be 'a'. The construction of the following table shall be useful.

Now, if we see the column for October,
Number of deliveries made in October = Number of normal bookings in September + Number of discounted bookings in August
790 = 272 + 1135 - a
Or, a = 617
Now, the value of 'a' can be verified from the column for November.
Number of deliveries made in November = Number of discounted bookings in September = 148 + a
Putting 'a' as 617 in the above equation, we get the number of deliveries in November as 148 + 617 = 765
This is given in the table.
Now, substituting the value of 'a' as 617 in the above table, we get the following table.

From July to August, there was the highest increase in premium bookings of tablets, i.e 362 - 183 = 179

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*Answer can only contain numeric values
Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 3

Directions: Read the information carefully and answer the question that follows.

Apple launched its tablet i-pad on April 1, 2010. For the tablet, which was sold exclusively online, the bookings started on April 1, 2010 and ended on September 30, 2010. There was only 1 model in the entire line up and it was offered at a fixed price. There were 3 modes of booking. Premium booking (product delivered in the same month at 5% premium), i.e. one had to pay 105% of the price of the tablet.
Normal booking (product delivered in the next month), i.e. if the booking was done in the nth month, it was delivered in the (n + 1)th month, without any extra charge.
Discounted booking (product delivered in next to next month), i.e. if the booking was done in the nth month, it was delivered in the (n + 2)th month, at 2% discount, i.e. one had to pay 98% of the price of the tablet. The payment for all kind of deliveries was done in the month of the booking.

In every month, except April, exactly 1/5th of the bookings were normal bookings.

The following table gives the number of bookings and the number of deliveries for the given period.

Q. For how many months was the premium collected more than the discount given?


Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 3

Let the number of normal bookings in August be 'a'. The construction of the following table shall be useful.

Now, if we see the column for October,
Number of deliveries made in October = Number of normal bookings in September + Number of discounted bookings in August
790 = 272 + 1135 - a
Or, a = 617
Now, the value of 'a' can be verified from the column for November.
Number of deliveries made in November = Number of discounted bookings in September = 148 + a
Putting 'a' as 617 in the above equation, we get the number of deliveries in November as 148 + 617 = 765
This is given in the table.
Now, substituting the value of 'a' as 617 in the above table, we get the following table.

et the price be Rs. 100.
So, the premium is Rs. 5 per premium booking and the discount is Rs. 2 per discounted booking.
Let us now evaluate the total premium collected and the total discount given month wise.
The construction of the following table shall be useful.

From the above table, it is evident that the premium collected was more than the discount given for the months of May, August and September i.e. for 3 months.

Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 4

Directions: Read the information carefully and answer the question that follows.

Apple launched its tablet i-pad on April 1, 2010. For the tablet, which was sold exclusively online, the bookings started on April 1, 2010 and ended on September 30, 2010. There was only 1 model in the entire line up and it was offered at a fixed price. There were 3 modes of booking. Premium booking (product delivered in the same month at 5% premium), i.e. one had to pay 105% of the price of the tablet.
Normal booking (product delivered in the next month), i.e. if the booking was done in the nth month, it was delivered in the (n + 1)th month, without any extra charge.
Discounted booking (product delivered in next to next month), i.e. if the booking was done in the nth month, it was delivered in the (n + 2)th month, at 2% discount i.e. one had to pay 98% of the price of the tablet. The payment for all kind of deliveries was done in the month of the booking.

In every month, except April, exactly 1/5th of the bookings were normal bookings.

The following table gives the number of bookings and the number of deliveries for the given period.

Q. In which of the following months was the number of premium bookings as a percentage of total bookings the highest?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 4

Let the number of normal bookings in August be 'a'. The construction of the following table shall be useful.

Now, if we see the column for October,
Number of deliveries made in October = Number of normal bookings in September + Number of discounted bookings in August
790 = 272 + 1135 - a
Or, a = 617
Now, the value of 'a' can be verified from the column for November.
Number of deliveries made in November = Number of discounted bookings in September = 148 + a
Putting 'a' as 617 in the above equation, we get the number of deliveries in November as 148 + 617 = 765
This is given in the table.
Now, substituting the value of 'a' as 617 in the above table, we get the following table.

The construction of the following table shall be useful now.

From the above table, it is obvious that the number of premium bookings as a percentage of total number of bookings is the highest for the month of August. Hence, answer option (1) is correct.

Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 5

Directions: Read the information carefully and answer the question that follows.

Apple launched its tablet i-pad on April 1, 2010. For the tablet, which was sold exclusively online, the bookings started on April 1, 2010 and ended on September 30, 2010. There was only 1 model in the entire line up and it was offered at a fixed price. There were 3 modes of booking. Premium booking (product delivered in the same month at 5% premium), i.e. one had to pay 105% of the price of the tablet.
Normal booking (product delivered in the next month), i.e. if the booking was done in the nth month, it was delivered in the (n + 1)th month, without any extra charge.
Discounted booking (product delivered in next to next month), i.e. if the booking was done in the nth month, it was delivered in the (n + 2)th month, at 2% discount i.e. one had to pay 98% of the price of the tablet. The payment for all kind of deliveries was done in the month of the booking.

In every month, except April, exactly 1/5th of the bookings were normal bookings.

The following table gives the number of bookings and the number of deliveries for the given period.

Q. How many tablets booked in June were delivered in August?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 5

Let the number of normal bookings in August be 'a'. The construction of the following table shall be useful.

Now, if we see the column for October,
Number of deliveries made in October = Number of normal bookings in September + Number of discounted bookings in August
790 = 272 + 1135 - a
Or, a = 617
Now, the value of 'a' can be verified from the column for November.
Number of deliveries made in November = Number of discounted bookings in September = 148 + a
Putting 'a' as 617 in the above equation, we get the number of deliveries in November as 148 + 617 = 765
This is given in the table.
Now, substituting the value of 'a' as 617 in the above table, we get the following table.

From the above table, it is evident that the number of tablets booked under discounted bookings in June were delivered in August i.e. 538 tablets. Hence, answer option (2) is correct.

Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 6

Directions: Read the given information carefully and answer the question that follows.

Mr. Webster has an ice-cream shop, where he sells ice creams of different companies (Company A, Company B, Company C, Company D and Company E). The maximum price at which he can sell an ice-cream is called MRP (Maximum Retail Price). The MRP for each of the five ice-cream service companies is a distinct value, such as Rs. 5, Rs. 10, Rs. 15, Rs. 20 and Rs. 25, not necessarily in that order. On a particular day, Mr. Webster sold exactly seven ice-creams, each to a different customer. The customers were Abigail, Avril, Kevin, Lacy, Lexie, Terry and Theon.

The following information is known about the ice-creams that he sold.
(1) He sold at least one ice-cream from each ice-cream company.
(2) The MRP of ice-cream of Company A is greater than Rs. 15, but he did not sell ice-cream of Company A to Avril.
(3) He sold two ice-creams, one to Kevin and one to Lacy, of the same ice-cream company of MRP Rs. 10.
(4) He sold Company D ice-cream to Abigail for Rs. 11 and the maximum selling price of any ice-cream that he sold to any of the seven customers was Rs. 23.
(5) He sold the ice-cream with MRP of Rs. 15 only to Theon.
(6) He sold two ice-creams of Company B, one of which was to Lexie and sold ice-cream of Company E for Rs. 12.

Q. Mr. Webster sold an ice-cream of Company B to which of the following customers?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 6

From (2), Company A should have an MRP of Rs. 20 or Rs. 25.
From (4), Company D should have an MRP of Rs. 15 or Rs. 20 or Rs. 25.
From (6), he sold two ice-creams of Company B. He sold ice-cream of another company to Lacy and Kevin. Hence, Mr. Webster would have sold exactly one ice-cream of all the other companies.
From (5), Theon bought an ice-cream from ice-cream company with MRP of Rs. 15. Hence, Company D will not have Rs. 15 as MRP.
From (4), Mr. Webster sold an ice-cream at price of Rs. 23. This cannot be of Company D (since he sold an ice-cream at price of Rs. 11 of Company D).
Therefore, Company A will have an MRP of Rs. 25 and Company D will have an MRP of Rs. 20.
Mr. Webster could not have sold an ice-cream of Company A to Kevin, Lacy, Abigail, Avril, Lexie or Theon. Hence, Mr. Webster sold an ice-cream to Terry of Company A.
From (6), Company E will have an MRP of Rs. 15.
Also, from (3), he sold ice-creams to Kevin and Lacy of Company C.
From (5), Mr. Webster sold an ice-cream of Company E to Theon and sold an ice-cream of Company B to Lexie and Avril.

The following table presents this information.

*Answer can only contain numeric values
Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 7

Directions: Read the given information carefully and answer the question that follows.

Mr. Webster has an ice-cream shop, where he sells ice creams of different companies (Company A, Company B, Company C, Company D and Company E). The maximum price at which he can sell an ice-cream is called MRP (Maximum Retail Price). The MRP for each of the five ice-cream service companies is a distinct value, such as Rs. 5, Rs. 10, Rs. 15, Rs. 20 and Rs. 25, not necessarily in that order. On a particular day, Mr. Webster sold exactly seven ice-creams, each to a different customer. The customers were Abigail, Avril, Kevin, Lacy, Lexie, Terry and Theon.

The following information is known about the ice-creams that he sold.
(1) He sold at least one ice-cream from each ice-cream company.
(2) The MRP of ice-cream of Company A is greater than Rs. 15, but he did not sell ice-cream of Company A to Avril.
(3) He sold two ice-creams, one to Kevin and one to Lacy, of the same ice-cream company of MRP Rs. 10.
(4) He sold Company D ice-cream to Abigail for Rs. 11 and the maximum selling price of any ice-cream that he sold to any of the seven customers was Rs. 23.
(5) He sold the ice-cream with MRP of Rs. 15 only to Theon.
(6) He sold two ice-creams of Company B, one of which was to Lexie and sold ice-cream of Company E for Rs. 12.

Q. What is the MRP(in Rs.) of Company E's ice-cream?


Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 7

From (2), Company A should have an MRP of Rs. 20 or Rs. 25.
From (4), Company D should have an MRP of Rs. 15 or Rs. 20 or Rs. 25.
From (6), he sold two ice-creams of Company B. He sold ice-cream of another company to Lacy and Kevin. Hence, Mr. Webster would have sold exactly one ice-cream of all the other companies.
From (5), Theon bought an ice-cream from ice-cream company with MRP of Rs. 15. Hence, Company D will not have Rs. 15 as MRP.
From (4), Mr. Webster sold an ice-cream at price of Rs. 23. This cannot be of Company D (since he sold an ice-cream at price of Rs. 11 of Company D).
Therefore, Company A will have an MRP of Rs. 25 and Company D will have an MRP of Rs. 20.
Mr. Webster could not have sold an ice-cream of Company A to Kevin, Lacy, Abigail, Avril, Lexie or Theon. Hence, Mr. Webster sold an ice-cream to Terry of Company A.
From (6), Company E will have an MRP of Rs. 15.
Also, from (3), he sold ice-creams to Kevin and Lacy of Company C.
From (5), Mr. Webster sold an ice-cream of Company E to Theon and sold an ice-cream of Company B to Lexie and Avril.

The following table presents this information.

The maximum retail price of an ice-cream that can be sold of Company E is Rs. 15.

Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 8

Directions: Read the given information carefully and answer the question that follows.

Mr. Webster has an ice-cream shop, where he sells ice creams of different companies (Company A, Company B, Company C, Company D and Company E). The maximum price at which he can sell an ice-cream is called MRP (Maximum Retail Price). The MRP for each of the five ice-cream service companies is a distinct value, such as Rs. 5, Rs. 10, Rs. 15, Rs. 20 and Rs. 25, not necessarily in that order. On a particular day, Mr. Webster sold exactly seven ice-creams, each to a different customer. The customers were Abigail, Avril, Kevin, Lacy, Lexie, Terry and Theon.

The following information is known about the ice-creams that he sold.
(1) He sold at least one ice-cream from each ice-cream company.
(2) The MRP of ice-cream of Company A is greater than Rs. 15, but he did not sell ice-cream of Company A to Avril.
(3) He sold two ice-creams, one to Kevin and one to Lacy, of the same ice-cream company of MRP Rs. 10.
(4) He sold Company D ice-cream to Abigail for Rs. 11 and the maximum selling price of any ice-cream that he sold to any of the seven customers was Rs. 23.
(5) He sold the ice-cream with MRP of Rs. 15 only to Theon.
(6) He sold two ice-creams of Company B, one of which was to Lexie and sold ice-cream of Company E for Rs. 12.

Q. Mr. Webster sold two ice-creams of which of the following companies to two different customers?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 8

From (2), Company A should have an MRP of Rs. 20 or Rs. 25.
From (4), Company D should have an MRP of Rs. 15 or Rs. 20 or Rs. 25.
From (6), he sold two ice-creams of Company B. He sold ice-cream of another company to Lacy and Kevin. Hence, Mr. Webster would have sold exactly one ice-cream of all the other companies.
From (5), Theon bought an ice-cream from ice-cream company with MRP of Rs. 15. Hence, Company D will not have Rs. 15 as MRP.
From (4), Mr. Webster sold an ice-cream at price of Rs. 23. This cannot be of Company D (since he sold an ice-cream at price of Rs. 11 of Company D).
Therefore, Company A will have an MRP of Rs. 25 and Company D will have an MRP of Rs. 20.
Mr. Webster could not have sold an ice-cream of Company A to Kevin, Lacy, Abigail, Avril, Lexie or Theon. Hence, Mr. Webster sold an ice-cream to Terry of Company A.
From (6), Company E will have an MRP of Rs. 15.
Also, from (3), he sold ice-creams to Kevin and Lacy of Company C.
From (5), Mr. Webster sold an ice-cream of Company E to Theon and sold an ice-cream of Company B to Lexie and Avril.

The following table presents this information.

Mr. Webster sold Company C ice-creams to two customers.

*Answer can only contain numeric values
Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 9

Directions: Read the given information carefully and answer the question that follows.

Mr. Webster has an ice-cream shop, where he sells ice creams of different companies (Company A, Company B, Company C, Company D and Company E). The maximum price at which he can sell an ice-cream is called MRP (Maximum Retail Price). The MRP for each of the five ice-cream service companies is a distinct value, such as Rs. 5, Rs. 10, Rs. 15, Rs. 20 and Rs. 25, not necessarily in that order. On a particular day, Mr. Webster sold exactly seven ice-creams, each to a different customer. The customers were Abigail, Avril, Kevin, Lacy, Lexie, Terry and Theon.

The following information is known about the ice-creams that he sold.
(1) He sold at least one ice-cream from each ice-cream company.
(2) The MRP of ice-cream of Company A is greater than Rs. 15, but he did not sell ice-cream of Company A to Avril.
(3) He sold two ice-creams, one to Kevin and one to Lacy, of the same ice-cream company of MRP Rs. 10.
(4) He sold Company D ice-cream to Abigail for Rs. 11 and the maximum selling price of any ice-cream that he sold to any of the seven customers was Rs. 23.
(5) He sold the ice-cream with MRP of Rs. 15 only to Theon.
(6) He sold two ice-creams of Company B, one of which was to Lexie and sold ice-cream of Company E for Rs. 12.

Q. What can be the maximum selling price (in Rs.) of the ice-cream that Mr. Webster sold to Avril?


Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 9

From (2), Company A should have an MRP of Rs. 20 or Rs. 25.
From (4), Company D should have an MRP of Rs. 15 or Rs. 20 or Rs. 25.
From (6), he sold two ice-creams of Company B. He sold ice-cream of another company to Lacy and Kevin. Hence, Mr. Webster would have sold exactly one ice-cream of all the other companies.
From (5), Theon bought an ice-cream from ice-cream company with MRP of Rs. 15. Hence, Company D will not have Rs. 15 as MRP.
From (4), Mr. Webster sold an ice-cream at price of Rs. 23. This cannot be of Company D (since he sold an ice-cream at price of Rs. 11 of Company D).
Therefore, Company A will have an MRP of Rs. 25 and Company D will have an MRP of Rs. 20.
Mr. Webster could not have sold an ice-cream of Company A to Kevin, Lacy, Abigail, Avril, Lexie or Theon. Hence, Mr. Webster sold an ice-cream to Terry of Company A.
From (6), Company E will have an MRP of Rs. 15.
Also, from (3), he sold ice-creams to Kevin and Lacy of Company C.
From (5), Mr. Webster sold an ice-cream of Company E to Theon and sold an ice-cream of Company B to Lexie and Avril.

The following table presents this information.

He could have sold an ice-cream of selling price less than or equal to Rs. 5 to Avril.
Thus the maximum selling price at which he can sell the ice cream is the same as the MRP of the ice cream i.e. Rs. 5

*Answer can only contain numeric values
Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 10

Directions: Read the given information carefully and answer the question that follows.

Mr. Webster has an ice-cream shop, where he sells ice creams of different companies (Company A, Company B, Company C, Company D and Company E). The maximum price at which he can sell an ice-cream is called MRP (Maximum Retail Price). The MRP for each of the five ice-cream service companies is a distinct value, such as Rs. 5, Rs. 10, Rs. 15, Rs. 20 and Rs. 25, not necessarily in that order. On a particular day, Mr. Webster sold exactly seven ice-creams, each to a different customer. The customers were Abigail, Avril, Kevin, Lacy, Lexie, Terry and Theon.

The following information is known about the ice-creams that he sold.
(1) He sold at least one ice-cream from each ice-cream company.
(2) The MRP of ice-cream of Company A is greater than Rs. 15, but he did not sell ice-cream of Company A to Avril.
(3) He sold two ice-creams, one to Kevin and one to Lacy, of the same ice-cream company of MRP Rs. 10.
(4) He sold Company D ice-cream to Abigail for Rs. 11 and the maximum selling price of any ice-cream that he sold to any of the seven customers was Rs. 23.
(5) He sold the ice-cream with MRP of Rs. 15 only to Theon.
(6) He sold two ice-creams of Company B, one of which was to Lexie and sold ice-cream of Company E for Rs. 12.

Q. What is the difference between the MRPs (in Rs.) of ice creams sold to Abigail and Terry?


Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 10

From (2), Company A should have an MRP of Rs. 20 or Rs. 25.
From (4), Company D should have an MRP of Rs. 15 or Rs. 20 or Rs. 25.
From (6), he sold two ice-creams of Company B. He sold ice-cream of another company to Lacy and Kevin. Hence, Mr. Webster would have sold exactly one ice-cream of all the other companies.
From (5), Theon bought an ice-cream from ice-cream company with MRP of Rs. 15. Hence, Company D will not have Rs. 15 as MRP.
From (4), Mr. Webster sold an ice-cream at price of Rs. 23. This cannot be of Company D (since he sold an ice-cream at price of Rs. 11 of Company D).
Therefore, Company A will have an MRP of Rs. 25 and Company D will have an MRP of Rs. 20.
Mr. Webster could not have sold an ice-cream of Company A to Kevin, Lacy, Abigail, Avril, Lexie or Theon. Hence, Mr. Webster sold an ice-cream to Terry of Company A.
From (6), Company E will have an MRP of Rs. 15.
Also, from (3), he sold ice-creams to Kevin and Lacy of Company C.
From (5), Mr. Webster sold an ice-cream of Company E to Theon and sold an ice-cream of Company B to Lexie and Avril.

The following table presents this information.

Difference between the MRPs (in Rs.) of ice creams sold to Abigail and Terry = Rs. 25 - Rs. 20 = Rs. 5

Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 11

Directions: Read the information given below and answer the question that follows.

Mr. Smith, a renowned neurosurgeon, works in four different hospitals – Hospital-1, Hospital-2, Hospital-3 and Hospital-4, situated in different cities. When travelling between any two hospitals, he always travels by car. Further, journey between any two hospitals is completed in one day. Also, if he starts a journey from any hospital on a day, he reaches that hospital again only after at least ten days. Last year, on September 1, Mr. Smith reached Hospital-2 from Hospital-4. During the months of September and October of that year, Mr. Smith travelled only on September 4, September 7, September 13, September 18, September 22, September 26, October 1, October 7 and October 13. On October 13, he reached Hospital-2. The number of days that he stayed in any hospital does not include the day on which he reached that hospital and the day on which he started a journey from that hospital.

Q. For how many days did Mr. Smith stay in Hospital-2, during the period September 1st to October 13th?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 11

Given that from September 1st to September 4th, he was in Hospital-2.
On September 4th, he starts a journey. He cannot be travelling to Hospital-2 or Hospital-4, since he left Hospital-4 and reached Hospital-2 on September 1st.
Hence, he could have travelled to Hospital-1 or Hospital-3.

On September 7th, he could not have travelled to Hospital-2 or Hospital-4 because he left Hospital-4 and Hospital-2 on September 1st and September 4th respectively (in both cases, ten days have not elapsed). Hence, he could have travelled to Hospital-3 or Hospital-1 on September 7th (depending on where he travelled to on September 4th). Hence, on September 4th and September 7th, he must have travelled to Hospital-3 and Hospital-1 in any order.
On September 13th, he could not have travelled to Hospital-2 (because he left Hospital-2 on September 4th and cannot travel to Hospital-2 until after September 14th. He could not have travelled to Hospital-3 or Hospital-1. Hence, he must have travelled to Hospital-4.

Case 1: Consider that he travelled to Hospital-1 on September 4th and Hospital-3 on September 7th.
On September 18th, he could not have travelled to Hospital-3. Hence, he must have travelled to Hospital-2 or Hospital-1. On September 22nd, he could not have travelled to Hospital-3 or Hospital-4. Hence, he must have travelled to Hospital-2 or Hospital-1 (depending on where he travelled to on September 18th). Hence, on September 18th and September 22nd, he must have travelled to Hospital-2 and Hospital-1 in any order.
On September 26th, he could not have travelled to Hospital-2, Hospital-1, or Hospital-4. Hence, he must have travelled to Hospital-3.
On October 1st, he could not have travelled to Hospital-1 or Hospital-2 (because he would have left any Hospital earliest by September 22nd). Hence, he must have travelled to Hospital-4.
On October 7th, he could have travelled to Hospital-2 or Hospital-1. But he reached Hospital-2 on 13th, hence, he must have travelled to Hospital-1 on October 7th.

Case 2: We can consider the case that he travelled to Hospital-3 on September 4th and Hospital-1 on September 7th.
In this case, all the instances when he travelled to Hospital-1 in the previous case, he travelled to Hospital-3 and vice versa.
The possible cases are presented in the following table:

In both the cases, Mr. Smith stayed in Hospital-2 for total 5 days.

Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 12

Directions: Read the information given below and answer the question that follows.

Mr. Smith, a renowned neurosurgeon, works in four different hospitals – Hospital-1, Hospital-2, Hospital-3 and Hospital-4, situated in different cities. When travelling between any two hospitals, he always travels by car. Further, journey between any two hospitals is completed in one day. Also, if he starts a journey from any hospital on a day, he reaches that hospital again only after at least ten days. Last year, on September 1, Mr. Smith reached Hospital-2 from Hospital-4. During the months of September and October of that year, Mr. Smith travelled only on September 4, September 7, September 13, September 18, September 22, September 26, October 1, October 7 and October 13. On October 13, he reached Hospital-2. The number of days that he stayed in any hospital does not include the day on which he reached that hospital and the day on which he started a journey from that hospital.

Q. For how many days did Mr. Smith stay in Hospital-1, during the period September 1st to October 13th?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 12

Given that from September 1st to September 4th, he was in Hospital-2.
On September 4th, he starts a journey. He cannot be travelling to Hospital-2 or Hospital-4, since he left Hospital-4 and reached Hospital-2 on September 1st.
Hence, he could have travelled to Hospital-1 or Hospital-3.

On September 7th, he could not have travelled to Hospital-2 or Hospital-4 because he left Hospital-4 and Hospital-2 on September 1st and September 4th respectively (in both cases, ten days have not elapsed). Hence, he could have travelled to Hospital-3 or Hospital-1 on September 7th (depending on where he travelled to on September 4th). Hence, on September 4th and September 7th, he must have travelled to Hospital-3 and Hospital-1 in any order.
On September 13th, he could not have travelled to Hospital-2 (because he left Hospital-2 on September 4th and cannot travel to Hospital-2 until after September 14th. He could not have travelled to Hospital-3 or Hospital-1. Hence, he must have travelled to Hospital-4.

Case 1: Consider that he travelled to Hospital-1 on September 4th and Hospital-3 on September 7th.
On September 18th, he could not have travelled to Hospital-3. Hence, he must have travelled to Hospital-2 or Hospital-1. On September 22nd, he could not have travelled to Hospital-3 or Hospital-4. Hence, he must have travelled to Hospital-2 or Hospital-1 (depending on where he travelled to on September 18th). Hence, on September 18th and September 22nd, he must have travelled to Hospital-2 and Hospital-1 in any order.
On September 26th, he could not have travelled to Hospital-2, Hospital-1, or Hospital-4. Hence, he must have travelled to Hospital-3.
On October 1st, he could not have travelled to Hospital-1 or Hospital-2 (because he would have left any Hospital earliest by September 22nd). Hence, he must have travelled to Hospital-4.
On October 7th, he could have travelled to Hospital-2 or Hospital-1. But he reached Hospital-2 on 13th, hence, he must have travelled to Hospital-1 on October 7th.

Case 2: We can consider the case that he travelled to Hospital-3 on September 4th and Hospital-1 on September 7th.
In this case, all the instances when he travelled to Hospital-1 in the previous case, he travelled to Hospital-3 and vice versa.
The possible cases are presented in the following table:

In case 1, Mr. Smith stayed in Hospital-1 for 10 days and in case 2, he stayed in Hospital-1 for 9 days.
So, option 4 is correct.

Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 13

Directions: Read the information given below and answer the question that follows.

Mr. Smith, a renowned neurosurgeon, works in four different hospitals – Hospital-1, Hospital-2, Hospital-3 and Hospital-4, situated in different cities. When travelling between any two hospitals, he always travels by car. Further, journey between any two hospitals is completed in one day. Also, if he starts a journey from any hospital on a day, he reaches that hospital again only after at least ten days. Last year, on September 1, Mr. Smith reached Hospital-2 from Hospital-4. During the months of September and October of that year, Mr. Smith travelled only on September 4, September 7, September 13, September 18, September 22, September 26, October 1, October 7 and October 13. On October 13, he reached Hospital-2. The number of days that he stayed in any hospital does not include the day on which he reached that hospital and the day on which he started a journey from that hospital.

Q. If Mr. Smith stayed in Hospital-3 on September 19, in which hospital did Mr. Smith stay on October 10?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 13

Given that from September 1st to September 4th, he was in Hospital-2.
On September 4th, he starts a journey. He cannot be travelling to Hospital-2 or Hospital-4, since he left Hospital-4 and reached Hospital-2 on September 1st.
Hence, he could have travelled to Hospital-1 or Hospital-3.

On September 7th, he could not have travelled to Hospital-2 or Hospital-4 because he left Hospital-4 and Hospital-2 on September 1st and September 4th respectively (in both cases, ten days have not elapsed). Hence, he could have travelled to Hospital-3 or Hospital-1 on September 7th (depending on where he travelled to on September 4th). Hence, on September 4th and September 7th, he must have travelled to Hospital-3 and Hospital-1 in any order.
On September 13th, he could not have travelled to Hospital-2 (because he left Hospital-2 on September 4th and cannot travel to Hospital-2 until after September 14th. He could not have travelled to Hospital-3 or Hospital-1. Hence, he must have travelled to Hospital-4.

Case 1: Consider that he travelled to Hospital-1 on September 4th and Hospital-3 on September 7th.
On September 18th, he could not have travelled to Hospital-3. Hence, he must have travelled to Hospital-2 or Hospital-1. On September 22nd, he could not have travelled to Hospital-3 or Hospital-4. Hence, he must have travelled to Hospital-2 or Hospital-1 (depending on where he travelled to on September 18th). Hence, on September 18th and September 22nd, he must have travelled to Hospital-2 and Hospital-1 in any order.
On September 26th, he could not have travelled to Hospital-2, Hospital-1, or Hospital-4. Hence, he must have travelled to Hospital-3.
On October 1st, he could not have travelled to Hospital-1 or Hospital-2 (because he would have left any Hospital earliest by September 22nd). Hence, he must have travelled to Hospital-4.
On October 7th, he could have travelled to Hospital-2 or Hospital-1. But he reached Hospital-2 on 13th, hence, he must have travelled to Hospital-1 on October 7th.

Case 2: We can consider the case that he travelled to Hospital-3 on September 4th and Hospital-1 on September 7th.
In this case, all the instances when he travelled to Hospital-1 in the previous case, he travelled to Hospital-3 and vice versa.
The possible cases are presented in the following table:

From the above table it is clear that if Mr. Smith stayed in Hospital-3 on September 19, then on October 10th he stayed in Hospital-3.

Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 14

Directions: Read the information given below and answer the question that follows.

Mr. Smith, a renowned neurosurgeon, works in four different hospitals – Hospital-1, Hospital-2, Hospital-3 and Hospital-4, situated in different cities. When travelling between any two hospitals, he always travels by car. Further, journey between any two hospitals is completed in one day. Also, if he starts a journey from any hospital on a day, he reaches that hospital again only after at least ten days. Last year, on September 1, Mr. Smith reached Hospital-2 from Hospital-4. During the months of September and October of that year, Mr. Smith travelled only on September 4, September 7, September 13, September 18, September 22, September 26, October 1, October 7 and October 13. On October 13, he reached Hospital-2. The number of days that he stayed in any hospital does not include the day on which he reached that hospital and the day on which he started a journey from that hospital.

Q. Which of the following cannot be the origin and destination Mr. Smith took during the period from September 1 to October 13?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 14

Given that from September 1st to September 4th, he was in Hospital-2.
On September 4th, he starts a journey. He cannot be travelling to Hospital-2 or Hospital-4, since he left Hospital-4 and reached Hospital-2 on September 1st.
Hence, he could have travelled to Hospital-1 or Hospital-3.

On September 7th, he could not have travelled to Hospital-2 or Hospital-4 because he left Hospital-4 and Hospital-2 on September 1st and September 4th respectively (in both cases, ten days have not elapsed). Hence, he could have travelled to Hospital-3 or Hospital-1 on September 7th (depending on where he travelled to on September 4th). Hence, on September 4th and September 7th, he must have travelled to Hospital-3 and Hospital-1 in any order.
On September 13th, he could not have travelled to Hospital-2 (because he left Hospital-2 on September 4th and cannot travel to Hospital-2 until after September 14th. He could not have travelled to Hospital-3 or Hospital-1. Hence, he must have travelled to Hospital-4.

Case 1: Consider that he travelled to Hospital-1 on September 4th and Hospital-3 on September 7th.
On September 18th, he could not have travelled to Hospital-3. Hence, he must have travelled to Hospital-2 or Hospital-1. On September 22nd, he could not have travelled to Hospital-3 or Hospital-4. Hence, he must have travelled to Hospital-2 or Hospital-1 (depending on where he travelled to on September 18th). Hence, on September 18th and September 22nd, he must have travelled to Hospital-2 and Hospital-1 in any order.
On September 26th, he could not have travelled to Hospital-2, Hospital-1, or Hospital-4. Hence, he must have travelled to Hospital-3.
On October 1st, he could not have travelled to Hospital-1 or Hospital-2 (because he would have left any Hospital earliest by September 22nd). Hence, he must have travelled to Hospital-4.
On October 7th, he could have travelled to Hospital-2 or Hospital-1. But he reached Hospital-2 on 13th, hence, he must have travelled to Hospital-1 on October 7th.

Case 2: We can consider the case that he travelled to Hospital-3 on September 4th and Hospital-1 on September 7th.
In this case, all the instances when he travelled to Hospital-1 in the previous case, he travelled to Hospital-3 and vice versa.
The possible cases are presented in the following table:

Mr. Smith did not travel from Hospital-2 to Hospital-4 during the given period.

Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 15

Directions: Read the information given below and answer the question that follows.

Mr. Smith, a renowned neurosurgeon, works in four different hospitals – Hospital-1, Hospital-2, Hospital-3 and Hospital-4, situated in different cities. When travelling between any two hospitals, he always travels by car. Further, journey between any two hospitals is completed in one day. Also, if he starts a journey from any hospital on a day, he reaches that hospital again only after at least ten days. Last year, on September 1, Mr. Smith reached Hospital-2 from Hospital-4. During the months of September and October of that year, Mr. Smith travelled only on September 4, September 7, September 13, September 18, September 22, September 26, October 1, October 7 and October 13. On October 13, he reached Hospital-2. The number of days that he stayed in any hospital does not include the day on which he reached that hospital and the day on which he started a journey from that hospital.

Q. Mr. Smith stayed in which of the following hospitals on September 22?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 15

Given that from September 1st to September 4th, he was in Hospital-2.
On September 4th, he starts a journey. He cannot be travelling to Hospital-2 or Hospital-4, since he left Hospital-4 and reached Hospital-2 on September 1st.
Hence, he could have travelled to Hospital-1 or Hospital-3.

On September 7th, he could not have travelled to Hospital-2 or Hospital-4 because he left Hospital-4 and Hospital-2 on September 1st and September 4th respectively (in both cases, ten days have not elapsed). Hence, he could have travelled to Hospital-3 or Hospital-1 on September 7th (depending on where he travelled to on September 4th). Hence, on September 4th and September 7th, he must have travelled to Hospital-3 and Hospital-1 in any order.
On September 13th, he could not have travelled to Hospital-2 (because he left Hospital-2 on September 4th and cannot travel to Hospital-2 until after September 14th. He could not have travelled to Hospital-3 or Hospital-1. Hence, he must have travelled to Hospital-4.

Case 1: Consider that he travelled to Hospital-1 on September 4th and Hospital-3 on September 7th.
On September 18th, he could not have travelled to Hospital-3. Hence, he must have travelled to Hospital-2 or Hospital-1. On September 22nd, he could not have travelled to Hospital-3 or Hospital-4. Hence, he must have travelled to Hospital-2 or Hospital-1 (depending on where he travelled to on September 18th). Hence, on September 18th and September 22nd, he must have travelled to Hospital-2 and Hospital-1 in any order.
On September 26th, he could not have travelled to Hospital-2, Hospital-1, or Hospital-4. Hence, he must have travelled to Hospital-3.
On October 1st, he could not have travelled to Hospital-1 or Hospital-2 (because he would have left any Hospital earliest by September 22nd). Hence, he must have travelled to Hospital-4.
On October 7th, he could have travelled to Hospital-2 or Hospital-1. But he reached Hospital-2 on 13th, hence, he must have travelled to Hospital-1 on October 7th.

Case 2: We can consider the case that he travelled to Hospital-3 on September 4th and Hospital-1 on September 7th.
In this case, all the instances when he travelled to Hospital-1 in the previous case, he travelled to Hospital-3 and vice versa.
The possible cases are presented in the following table:

We cannot determine the answer.

Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 16

Directions: Answer the question on the basis of the information given below.

In the evaluation process for a professional football team, the coaching staff meticulously assessed the performance of four talented women players: Emma, Grace, Hannah, and Olivia. The team management aimed to determine their eligibility and potential selection for the upcoming season. To make informed decisions, the coaching staff analysed the players' scoring records from the past 8 games, labelled as Game 1 through Game 8. Collectively, the four players had scored a total of 14 goals across these games. Notably, each player had contributed by scoring at least two goal, showcasing their individual contributions to the team's success. Additionally, no two players had the same total number of goals. Several key facts emerged from the analysis of these players' scoring records.

(i) Surprisingly, only one goal was scored in every odd-numbered game.
(ii) Emma scored 2 goals in Game 4 and emerged as a dominant scorer, surpassing Grace in terms of the number of goals scored.
(iii) The player with the highest number of goals achieved this feat scoring in exactly four games, including Game 3 and Game 7.
(iv) Hannah is known for her lowest scoring capabilities, and scored in Game 2 and Game 8. Furthermore, Olivia and Grace both scored 2 goals each in Game 4 and Game 6, respectively.
(v) Interestingly, goals scored in Game 1, Game 2 and Game 4 are in geometric progression (GP).
(vi) The second highest number of goals scored is unique and it is scored in Game 6.

Q. Which of the following can be the possible player(s) who scored goal in Game 1?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 16

Only one goal was scored in every odd-numbered game.

Emma recorded two goals in Game 4.

Goals scored in Game 1, Game 2 and Game 4 are in GP.
Let the common ratio be r.

Goals scored should be a real number and total goals should be 14, so the only possible value of r is 2.

The game with the second highest number of goals scored is Game 6.
As the sum of scores is 14 and already in the above table 10 goals have been scored; in Game 6, the score will be 3 and the Game 8 score will be 1.

No two players had the same total number of goals.
So, their individuals score will be 2, 3, 4, and 5 as this is the only possible way for the sum to be 14.
Emma emerged as a dominant scorer – it means Emma scored 5 goals.
Hannah is known for her lowest scoring capabilities, and scored in Game 2 and Game 8.
The player with the highest number of goals achieved this feat scoring in exactly four games, including Game 3 and Game 7.

Olivia and Grace both scored 2 goals each in Game 4 and Game 6, respectively.

Either Olivia's score is 3 and Grace score's is 4 or Olivia's score is 4 and Grace's score is 3.
Based on the information provided:

*Answer can only contain numeric values
Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 17

Directions: Answer the question on the basis of the information given below.

In the evaluation process for a professional football team, the coaching staff meticulously assessed the performance of four talented women players: Emma, Grace, Hannah, and Olivia. The team management aimed to determine their eligibility and potential selection for the upcoming season. To make informed decisions, the coaching staff analysed the players' scoring records from the past 8 games, labelled as Game 1 through Game 8. Collectively, the four players had scored a total of 14 goals across these games. Notably, each player had contributed by scoring at least two goal, showcasing their individual contributions to the team's success. Additionally, no two players had the same total number of goals. Several key facts emerged from the analysis of these players' scoring records.

(i) Surprisingly, only one goal was scored in every odd-numbered game.
(ii) Emma scored 2 goals in Game 4 and emerged as a dominant scorer, surpassing Grace in terms of the number of goals scored.
(iii) The player with the highest number of goals achieved this feat scoring in exactly four games, including Game 3 and Game 7.
(iv) Hannah is known for her lowest scoring capabilities, and scored in Game 2 and Game 8. Furthermore, Olivia and Grace both scored 2 goals each in Game 4 and Game 6, respectively.
(v) Interestingly, goals scored in Game 1, Game 2 and Game 4 are in geometric progression (GP).
(vi) The second highest number of goals scored is unique and it is scored in Game 6.

Q. What is the maximum possible number of games in which Olivia scored goal? Key in the value.


Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 17

Only one goal was scored in every odd-numbered game.

Emma recorded two goals in Game 4.

Goals scored in Game 1, Game 2 and Game 4 are in GP.
Let the common ratio be r.

Goals scored should be a real number and total goals should be 14, so the only possible value of r is 2.

The game with the second highest number of goals scored is Game 6.
As the sum of scores is 14 and already in the above table 10 goals have been scored; in Game 6, the score will be 3 and the Game 8 score will be 1.

No two players had the same total number of goals.
So, their individuals score will be 2, 3, 4, and 5 as this is the only possible way for the sum to be 14.
Emma emerged as a dominant scorer – it means Emma scored 5 goals.
Hannah is known for her lowest scoring capabilities, and scored in Game 2 and Game 8.
The player with the highest number of goals achieved this feat scoring in exactly four games, including Game 3 and Game 7.

Olivia and Grace both scored 2 goals each in Game 4 and Game 6, respectively.

Either Olivia's score is 3 and Grace score's is 4 or Olivia's score is 4 and Grace's score is 3.
Based on the information provided:

Olivia scored 2 goals in Game 4 and she can score maximum 4 goals. Hence, she can score 1 goal each in two games.
Therefore, Olivia scored goals in maximum 3 games.

*Answer can only contain numeric values
Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 18

Directions: Answer the question on the basis of the information given below.

In the evaluation process for a professional football team, the coaching staff meticulously assessed the performance of four talented women players: Emma, Grace, Hannah, and Olivia. The team management aimed to determine their eligibility and potential selection for the upcoming season. To make informed decisions, the coaching staff analysed the players' scoring records from the past 8 games, labelled as Game 1 through Game 8. Collectively, the four players had scored a total of 14 goals across these games. Notably, each player had contributed by scoring at least two goal, showcasing their individual contributions to the team's success. Additionally, no two players had the same total number of goals. Several key facts emerged from the analysis of these players' scoring records.

(i) Surprisingly, only one goal was scored in every odd-numbered game.
(ii) Emma scored 2 goals in Game 4 and emerged as a dominant scorer, surpassing Grace in terms of the number of goals scored.
(iii) The player with the highest number of goals achieved this feat scoring in exactly four games, including Game 3 and Game 7.
(iv) Hannah is known for her lowest scoring capabilities, and scored in Game 2 and Game 8. Furthermore, Olivia and Grace both scored 2 goals each in Game 4 and Game 6, respectively.
(v) Interestingly, goals scored in Game 1, Game 2 and Game 4 are in geometric progression (GP).
(vi) The second highest number of goals scored is unique and it is scored in Game 6.

Q. For how many games is the number of goals scored less than the number of goals scored in Game 8? Key in the value.


Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 18

Only one goal was scored in every odd-numbered game.

Emma recorded two goals in Game 4.

Goals scored in Game 1, Game 2 and Game 4 are in GP.
Let the common ratio be r.

Goals scored should be a real number and total goals should be 14, so the only possible value of r is 2.

The game with the second highest number of goals scored is Game 6.
As the sum of scores is 14 and already in the above table 10 goals have been scored; in Game 6, the score will be 3 and the Game 8 score will be 1.

No two players had the same total number of goals.
So, their individuals score will be 2, 3, 4, and 5 as this is the only possible way for the sum to be 14.
Emma emerged as a dominant scorer – it means Emma scored 5 goals.
Hannah is known for her lowest scoring capabilities, and scored in Game 2 and Game 8.
The player with the highest number of goals achieved this feat scoring in exactly four games, including Game 3 and Game 7.

Olivia and Grace both scored 2 goals each in Game 4 and Game 6, respectively.

Either Olivia's score is 3 and Grace score's is 4 or Olivia's score is 4 and Grace's score is 3.
Based on the information provided:

Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 19

Directions: Answer the question on the basis of the information given below.

In the evaluation process for a professional football team, the coaching staff meticulously assessed the performance of four talented women players: Emma, Grace, Hannah, and Olivia. The team management aimed to determine their eligibility and potential selection for the upcoming season. To make informed decisions, the coaching staff analysed the players' scoring records from the past 8 games, labelled as Game 1 through Game 8. Collectively, the four players had scored a total of 14 goals across these games. Notably, each player had contributed by scoring at least two goal, showcasing their individual contributions to the team's success. Additionally, no two players had the same total number of goals. Several key facts emerged from the analysis of these players' scoring records.

(i) Surprisingly, only one goal was scored in every odd-numbered game.
(ii) Emma scored 2 goals in Game 4 and emerged as a dominant scorer, surpassing Grace in terms of the number of goals scored.
(iii) The player with the highest number of goals achieved this feat scoring in exactly four games, including Game 3 and Game 7.
(iv) Hannah is known for her lowest scoring capabilities, and scored in Game 2 and Game 8. Furthermore, Olivia and Grace both scored 2 goals each in Game 4 and Game 6, respectively.
(v) Interestingly, goals scored in Game 1, Game 2 and Game 4 are in geometric progression (GP).
(vi) The second highest number of goals scored is unique and it is scored in Game 6.

Consider the following statements:
(i) The sum of goals scored in Game 6, Game 7 and Game 8 is equal to the sum of goals scored in Game 4 and Game 5.
(ii) The second highest number of goals scored is 2.

Q. Which of the above statements is/are correct?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 19

Only one goal was scored in every odd-numbered game.

Emma recorded two goals in Game 4.

Goals scored in Game 1, Game 2 and Game 4 are in GP.
Let the common ratio be r.

Goals scored should be a real number and total goals should be 14, so the only possible value of r is 2.

The game with the second highest number of goals scored is Game 6.
As the sum of scores is 14 and already in the above table 10 goals have been scored; in Game 6, the score will be 3 and the Game 8 score will be 1.

No two players had the same total number of goals.
So, their individuals score will be 2, 3, 4, and 5 as this is the only possible way for the sum to be 14.
Emma emerged as a dominant scorer – it means Emma scored 5 goals.
Hannah is known for her lowest scoring capabilities, and scored in Game 2 and Game 8.
The player with the highest number of goals achieved this feat scoring in exactly four games, including Game 3 and Game 7.

Olivia and Grace both scored 2 goals each in Game 4 and Game 6, respectively.

Either Olivia's score is 3 and Grace score's is 4 or Olivia's score is 4 and Grace's score is 3.
Based on the information provided:

Sum of goals scored in Game 6, Game 7 and Game 8 = 3 + 1 + 1 = 5
Sum of goals scored in Game 4 and Game 5 = 4 + 1 = 5
So, statement (i) is correct.
Statement (ii) is wrong.

Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 20

Directions: Answer the question on the basis of the information given below.

In the evaluation process for a professional football team, the coaching staff meticulously assessed the performance of four talented women players: Emma, Grace, Hannah, and Olivia. The team management aimed to determine their eligibility and potential selection for the upcoming season. To make informed decisions, the coaching staff analysed the players' scoring records from the past 8 games, labelled as Game 1 through Game 8. Collectively, the four players had scored a total of 14 goals across these games. Notably, each player had contributed by scoring at least two goal, showcasing their individual contributions to the team's success. Additionally, no two players had the same total number of goals. Several key facts emerged from the analysis of these players' scoring records.

(i) Surprisingly, only one goal was scored in every odd-numbered game.
(ii) Emma scored 2 goals in Game 4 and emerged as a dominant scorer, surpassing Grace in terms of the number of goals scored.
(iii) The player with the highest number of goals achieved this feat scoring in exactly four games, including Game 3 and Game 7.
(iv) Hannah is known for her lowest scoring capabilities, and scored in Game 2 and Game 8. Furthermore, Olivia and Grace both scored 2 goals each in Game 4 and Game 6, respectively.
(v) Interestingly, goals scored in Game 1, Game 2 and Game 4 are in geometric progression (GP).
(vi) The second highest number of goals scored is unique and it is scored in Game 6.

Consider the following statements:
(i) The sum of goals scored in Game 6, Game 7 and Game 8 is equal to the sum of goals scored in Game 4 and Game 5.
(ii) The second highest number of goals scored is 2.

Q. If Emma scored goal in Game 1, then which of following groups of players scored goals in Game 6?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 7 - Question 20

Only one goal was scored in every odd-numbered game.

Emma recorded two goals in Game 4.

Goals scored in Game 1, Game 2 and Game 4 are in GP.
Let the common ratio be r.

Goals scored should be a real number and total goals should be 14, so the only possible value of r is 2.

The game with the second highest number of goals scored is Game 6.
As the sum of scores is 14 and already in the above table 10 goals have been scored; in Game 6, the score will be 3 and the Game 8 score will be 1.

No two players had the same total number of goals.
So, their individuals score will be 2, 3, 4, and 5 as this is the only possible way for the sum to be 14.
Emma emerged as a dominant scorer – it means Emma scored 5 goals.
Hannah is known for her lowest scoring capabilities, and scored in Game 2 and Game 8.
The player with the highest number of goals achieved this feat scoring in exactly four games, including Game 3 and Game 7.

Olivia and Grace both scored 2 goals each in Game 4 and Game 6, respectively.

Either Olivia's score is 3 and Grace score's is 4 or Olivia's score is 4 and Grace's score is 3.
Based on the information provided:

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