CAT Introduction to Analytical Puzzles - Practice Questions & MCQ

Directions for question: In this fictitious tale, the two legendary mathematicians and astronomers Aryabhatta and Varahamihira met at a dinner party hosted by King Chandragupta Vikramaditya at his palace in Pataliputra. 

Aryabhatta, the senior and moodier among the two, being slightly inebriated with the excellent ‘somras’ served by the king, and in a very good mood, suddenly said to Varahamihira -- ‘If distinct alphabets of the English language stand for distinct digits, then SATURN plus URANUS will be equal to JUPITER’!! 

Though initially puzzled by this sudden statement from Aryabhatta, Varahamihira quickly regained composure and solved the challenge thrown by Aryabhatta.

Question: In sync with the thought process of Aryabhatta, what would be the summation of the letters of ‘PARASITE’?

Directions for question:
On 1st February 2022, Ms Dipali Goenka, MD & CEO of Christy’s, a subsidiary of Gujarat based M/s Welspun India, received a large order for supplying handmade players’ towels for the centenary Wimbledon Tennis tournament in July 2022, and the ICC Men’s T-20 World Cup in October 2022, both to be delivered by the last date of June 2022.
Christy’s have
a) Twenty cutters whose job is to cut the towel fabric supplied by M/s Welspun India.
b) Fifty printers who do the dyeing and screen printing on the towels
c) Twenty stitchers whose job is to do the border stitching and monogramming on the towels
d) Five packers who fold, pack and seal the towels
Each of the hundred employees mentioned above works for ten hours per day.
Each of the Wimbledon towels requires forty minutes for cutting the towel fabric, two hours for dyeing and screen printing, forty minutes for border stitching and monogramming, and ten minutes for folding, packing and sealing. Whereas the ICC World Cup towels require one hour, two hours, eighty minutes and fifteen minutes respectively for the same above mentioned activities.
At Christy’s, the following steps are followed in order, after the arrival of the towel fabric, till the final packed product is obtained:
Step I: Cutting of towel fabric by the cutters.
Step II: Dyeing and screen printing on the towels by the printers.
Step III: Stitching and monogramming on the towels by the stitchers.
Step IV: Folding, packing and sealing of towels by the packers.
Question: What is the maximum number of Wimbledon towels that Christy’s can complete in a day?

Directions for question:
On 1st February 2022, Ms Dipali Goenka, MD & CEO of Christy’s, a subsidiary of Gujarat based M/s Welspun India, received a large order for supplying handmade players’ towels for the centenary Wimbledon Tennis tournament in July 2022, and the ICC Men’s T-20 World Cup in October 2022, both to be delivered by the last date of June 2022. 

Christy’s have 

a) Twenty cutters whose job is to cut the towel fabric supplied from M/s Welspun India 

b) Fifty printers who do the dyeing and screen printing on the towels 

c) Twenty stitchers whose job is to do the border stitching and monogramming on the towels 

d) Five packers who fold, pack and seal the towels 

Each of the hundred employees mentioned above work for ten hours per day. 

Each of the Wimbledon towels require forty minutes for cutting the towel fabric, two hours for dyeing and screen printing, forty minutes for border stitching and monogramming, and ten minutes for folding, packing and sealing. Whereas the ICC World Cup towels require one hour, two hours, eighty minutes and fifteen minutes respectively for the same above-mentioned activities. 

At Christy’s, the following steps are followed in order, after the arrival of the towel fabric, till the final packed product is obtained :

Step I: Cutting of towel fabric by the cutters

Step II: Dyeing and screen printing on the towels by the printers

Step III: Stitching and monogramming on the towels by the stitchers

Step IV: Folding, packing and sealing of towels by the packers 

Question: On a particular day Christy’s decided to complete a hundred ICC World Cup towels. How many Wimbledon towels can be completed on that day?

Directions for question: 
On 1st February 2022, Ms Dipali Goenka, MD & CEO of Christy’s, a subsidiary of Gujarat-based M/s Welspun India, received a large order for supplying handmade players’ towels for the centenary Wimbledon Tennis tournament in July 2022, and the ICC Men’s T-20 World Cup in October 2022, both to be delivered by the last date of June 2022. 

Christy’s have 

a) Twenty cutters whose job is to cut the towel fabric supplied by M/s Welspun India 

b) Fifty printers who do the dyeing and screen printing on the towels 

c) Twenty stitchers whose job is to do the border stitching and monogramming on the towels 

d) Five packers who fold, pack and seal the towels 

Each of the hundred employees mentioned above works for ten hours per day. 

Each of the Wimbledon towels requires forty minutes for cutting the towel fabric, two hours for dyeing and screen printing, forty minutes for border stitching and monogramming, and ten minutes for folding, packing and sealing. Whereas the ICC World Cup towels require one hour, two hours, eighty minutes and fifteen minutes respectively for the same above-mentioned activities. 

At Christy’s, the following steps are followed in order, after the arrival of the towel fabric, till the final packed product is obtained :

Step I: Cutting of towel fabric by the cutters

Step II: Dyeing and screen printing on the towels by the printers

Step III: Stitching and monogramming on the towels by the stitchers

Step IV: Folding, packing and sealing of towels by the packers 

Question: If Christy’s decides to make two hundred Wimbledon towels only and no other towels on a particular day, how many total man-hours will remain unutilized on that day? (Man – hours for a task = number of men who can do the task * number of hours for the task.)

Directions for questions:
Four young men and fast friends – Anirban, Bhaskar, Shubhayu and Sugato, who had been placed in top companies in their hometown Kolkata directly from college in 2021, decided to splurge their 2022 Durga Puja bonus payments on themselves. They went shopping together and each purchased at least one out of the three items – an iPhone 14, a Bose Music System and an LG Microwave Oven. The costs of these three items were Rs 78,750, Rs 33,750 and Rs 45,000, in no particular order. It was also known that :
a) No friend purchased more than one item of any type.
b) Also, it was known that one of the friends did not purchase an iPhone-14, one of them did not purchase the Bose Music System, and two of them did not purchase the LG Microwave Oven.
c) Anirban spent the most and Shubhayu spent the least.
d) No two friends spent the same amount.
Question: If Shubhayu spent Rs 33,750 and Sugato spent the second highest amount among the four friends, then what could be the minimum amount that Bhaskar had spent?

Directions for question: Consultancy firm M/S McKinsey & Company was hired by the World Health Organization in 2022 and was given the task of evaluating the total health budgets (in million USD) of five countries namely Ghana, Egypt, Nigeria, Libya and South Africa.                    

Each of the above-mentioned countries allocates its total health budget behind two parameters – healthcare budget and research and development budget. Moreover, the total health budget of each country was different and was a multiple of 50 million USD. 

The report submitted by the firm had the following points: 
i)  Among the five countries, Ghana had the lowest total health budget and also spent the lowest on healthcare. 
ii) South Africa, which had the highest total health budget and Egypt were the only countries to allocate 50% of their total health budget to healthcare. 
iii) Nigeria’s healthcare budget allocation matched that of Egypt. Also, their research and development budget allocation was double that of Ghana's research and development budget allocation. 
iv) Libya was second to only South Africa and ahead of other countries in the total health budget as well as allocation to healthcare budget and research and development budget. 
v) Ghana's healthcare budget allocation was only 10% of the highest healthcare budget allocation amongst all the five countries which was 250 million USD. 
vi) Except Ghana's healthcare budget allocation, all other healthcare budget allocations were a multiple of 50 million USD. 

From the above report, find the answer to the question that follows:
Question: The ratio of the Research and Development Budget allocation to the Healthcare Budget allocation is termed the RPR Index. What was the RPR Index of the five countries taken together as per the report of M/S McKinsey & Company?