Practice Test for IIFT - 12 - CAT MCQ

Answer the following question based on the information given below.

A drug manufacturing company presents the data on manufacturing of four new types of drugs that it started manufacturing in 2015. The first table shows the breakup of the manufacturing in each month (in thousand units) and the second table shows the share of the types of drugs being manufactured in each quarter as a percentage of the total manufactured drugs for that quarter.

Some parameters have been defined as under:

Quarter production efficiency = (Average monthly production of the drug in the quarter - Total average monthly production)/ Total average monthly production

Quarter comparison ratio = (Average monthly production of the drug in a quarter) / (Average monthly production of the drug in other quarter)

Quarter percent = (The total production in a quarter / Total production) x 100

Q.

Which quarter has the second highest quarter percent?

Answer the following question based on the information given below.

A drug manufacturing company presents the data on manufacturing of four new types of drugs that it started manufacturing in 2015. The first table shows the breakup of the manufacturing in each month (in thousand units) and the second table shows the share of the types of drugs being manufactured in each quarter as a percentage of the total manufactured drugs for that quarter.

Some parameters have been defined as under:

Quarter production efficiency = (Average monthly production of the drug in the quarter - Total average monthly production)/ Total average monthly production

Quarter comparison ratio = (Average monthly production of the drug in a quarter) / (Average monthly production of the drug in other quarter)

Quarter percent = (The total production in a quarter / Total production) x 100

Q.

The quarter comparison ratio for Vitamins is the least for which of the following two quarters?

Answer the following question based on the information given below.
The chart below shows the break-up of the total salary expenditure of a company in 2011-12 in its five departments. There are no other departments in this company. The total salary paid out is Rs. 1,200 lakh.

The chart below shows the highest salary for any employee and average salary per employee for each department in 2011-12. All figures in the chart are in Rs. lakhs.

The chart below shows the contribution of salary expenditure to total expenditure for some fiscal years.

Q.

What could be the maximum number of people in the M&A department that earn the highest possible salary package for that department?

Answer the following question based on the information given below.
The chart below shows the break-up of the total salary expenditure of a company in 2011-12 in its five departments. There are no other departments in this company. The total salary paid out is Rs. 1,200 lakh.

The chart below shows the highest salary for any employee and average salary per employee for each department in 2011-12. All figures in the chart are in Rs. lakhs.

The chart below shows the contribution of salary expenditure to total expenditure for some fiscal years.

Q.

The expenditure on salaries for the HR department is the same in 2010-11 and 2011-12. The salary expenditure on HR in 2010-11 forms what percentage of the total expenditure of the company in that fiscal?

Answer the following question based on the information given below.
The chart below shows the break-up of the total salary expenditure of a company in 2011-12 in its five departments. There are no other departments in this company. The total salary paid out is Rs. 1,200 lakh.

The chart below shows the highest salary for any employee and average salary per employee for each department in 2011-12. All figures in the chart are in Rs. lakhs.

The chart below shows the contribution of salary expenditure to total expenditure for some fiscal years.

Q.

What is the total expenditure of the company per employee for the year 2011-12 (in Rs. lakhs)?

Answer the following question based on the information given below.
The chart below shows the break-up of the total salary expenditure of a company in 2011-12 in its five departments. There are no other departments in this company. The total salary paid out is Rs. 1,200 lakh.

The chart below shows the highest salary for any employee and average salary per employee for each department in 2011-12. All figures in the chart are in Rs. lakhs.

The chart below shows the contribution of salary expenditure to total expenditure for some fiscal years.

Q.

If the income has constant income as well as constant expenditure on salary each year, which year is the most profitable?

Answer the following question based on the information given below.

A telecom company - XYZ - recently conducted a market survey over three years which asked people to rate their company on different parameters. The data obtained was then put in a chart as shown below:

Q.

 If the final rating of a parameter is given by (0.714 x Rating of 2015) + (0.571 x Rating of 2014) + (0.362 x Rating of 2013), which of these parameters will have the best final rating?

Answer the following question based on the information given below.

A telecom company - XYZ - recently conducted a market survey over three years which asked people to rate their company on different parameters. The data obtained was then put in a chart as shown below:

Q.

Rating Performance is measured as

Which of these parameters has the highest rating performance?

Answer the following question based on the information given below.

A telecom company - XYZ - recently conducted a market survey over three years which asked people to rate their company on different parameters. The data obtained was then put in a chart as shown below:

Q.

Which of these has the highest growth in rating from 2013 to 2015?

Answer the following question based on the information given below.

A telecom company - XYZ - recently conducted a market survey over three years which asked people to rate their company on different parameters. The data obtained was then put in a chart as shown below:

Q.

Which of these parameters has the highest average yearly rating?

Answer the following question based on the information given below.

To assess the quality of education that was being imparted by the local schools in the state, the education ministry had assigned the project to an external research agency to find out the details of the students who had passed in the recently held state wide examinations.

The survey was carried out across Class VIII, Class IX and Class X students of the state. To speed up the survey, the areas from where these students came were categorized into three zones: Zone A, Zone B and Zone C. The number of students sampled in each zone was 1000. The survey form was a simple four question paper in which the participant had to fill in the answer applicable to him.

The questions asked were:

Did you pass in Class VIII?

Did you pass in Class IX?

Did you pass in Class X?

Have you failed in your examination?

The answers to all the questions were to be in either YES or NO. There was no other answer possible.

The survey report was presented in the following format. The percentages as shown mean the percentage of students who answered YES to that particular question.

In the above charts, only the creator of the questionnaire knew what the options A, B, C and D meant.

In Zone C, he knew from looking at the above charts that 220 students of all the participants in the survey had failed in the examination. And further more, in all the three zones put together, the difference between the number of students who had passed in Class IX and those who had passed in Class X was 100.

Q.

If in Zone A where the number of students who had passed in  Class VIII was minimum possible, then which of the following statements can be definitely concluded?

a.    The maximum number of students had passed in Class IX in Zone B.

b.     The minimum number of students had passed in Class X in Zone B.

c.     The minimum number of students had passed in Class X in Zone C.

d.    The maximum number of students had passed in Class IX in Zone A.

e.    The minimum number of students had failed in all classes put together in Zone A.

Answer the following question based on the information given below.

To assess the quality of education that was being imparted by the local schools in the state, the education ministry had assigned the project to an external research agency to find out the details of the students who had passed in the recently held state wide examinations.

The survey was carried out across Class VIII, Class IX and Class X students of the state. To speed up the survey, the areas from where these students came were categorized into three zones: Zone A, Zone B and Zone C. The number of students sampled in each zone was 1000. The survey form was a simple four question paper in which the participant had to fill in the answer applicable to him.

The questions asked were:

Did you pass in Class VIII?

Did you pass in Class IX?

Did you pass in Class X?

Have you failed in your examination?

The answers to all the questions were to be in either YES or NO. There was no other answer possible.

The survey report was presented in the following format. The percentages as shown mean the percentage of students who answered YES to that particular question.

In the above charts, only the creator of the questionnaire knew what the options A, B, C and D meant.

In Zone C, he knew from looking at the above charts that 220 students of all the participants in the survey had failed in the examination. And further more, in all the three zones put together, the difference between the number of students who had passed in Class IX and those who had passed in Class X was 100.

Q.

If the number of students who had passed in Class X in all zones put together is minimum possible, then which of the given statements is definitely false?

a. Of all the students who had passed in Class IX in all the zones put together, the minimum were from Zone A.

b. Of all the students who had passed in Class VIII in all the zones put together, the minimum were from Zone B.

c. Of all the students who had failed in all classes put together, the minimum were from Zone A.

d. Of all the students who had failed in all classes put together, the maximum were from Zone B.

Answer the following question based on the information given below.

To assess the quality of education that was being imparted by the local schools in the state, the education ministry had assigned the project to an external research agency to find out the details of the students who had passed in the recently held state wide examinations.

The survey was carried out across Class VIII, Class IX and Class X students of the state. To speed up the survey, the areas from where these students came were categorized into three zones: Zone A, Zone B and Zone C. The number of students sampled in each zone was 1000. The survey form was a simple four question paper in which the participant had to fill in the answer applicable to him.

The questions asked were:

Did you pass in Class VIII?

Did you pass in Class IX?

Did you pass in Class X?

Have you failed in your examination?

The answers to all the questions were to be in either YES or NO. There was no other answer possible.

The survey report was presented in the following format. The percentages as shown mean the percentage of students who answered YES to that particular question.

In the above charts, only the creator of the questionnaire knew what the options A, B, C and D meant.

In Zone C, he knew from looking at the above charts that 220 students of all the participants in the survey had failed in the examination. And further more, in all the three zones put together, the difference between the number of students who had passed in Class IX and those who had passed in Class X was 100.

Q.

If in Zone B, the number of students who had passed in Class VIII was minimum possible, then which of the following statements is definitely true?

a. In Zone A, the number of students who failed in either Class IX or Class X was 9.33% of total surveyed students.

b. In Zone C, the number of students who failed in either Class VIII or Class X was 19% of total surveyed students.

c. In Zone B, the number of students who failed in Class IX or Class VIII was 63.5% of students surveyed from that zone.

d. In Zone C, the number of students who failed in either Class IX or Class X was 43% of students surveyed from that zone.

Answer the following question based on the information given below.

To assess the quality of education that was being imparted by the local schools in the state, the education ministry had assigned the project to an external research agency to find out the details of the students who had passed in the recently held state wide examinations.

The survey was carried out across Class VIII, Class IX and Class X students of the state. To speed up the survey, the areas from where these students came were categorized into three zones: Zone A, Zone B and Zone C. The number of students sampled in each zone was 1000. The survey form was a simple four question paper in which the participant had to fill in the answer applicable to him.

The questions asked were:

Did you pass in Class VIII?

Did you pass in Class IX?

Did you pass in Class X?

Have you failed in your examination?

The answers to all the questions were to be in either YES or NO. There was no other answer possible.

The survey report was presented in the following format. The percentages as shown mean the percentage of students who answered YES to that particular question.

In the above charts, only the creator of the questionnaire knew what the options A, B, C and D meant.

In Zone C, he knew from looking at the above charts that 220 students of all the participants in the survey had failed in the examination. And further more, in all the three zones put together, the difference between the number of students who had passed in Class IX and those who had passed in Class X was 100.

Q.

A maximum of how many statements can be simultaneously true?

a.    In Zone A, 13.5% students had failed in all the classes put together.

b.    In Zone C, 7% of the students of all zones put together had passed in Class X.

c.    In Zone B, 185 students had passed in Class IX.

d.    In Zone C, 220 students had passed in Class X.

e.    In Zone B, 180 students had passed in Class VIII.

Answer the following question based on the information given below.

To assess the quality of education that was being imparted by the local schools in the state, the education ministry had assigned the project to an external research agency to find out the details of the students who had passed in the recently held state wide examinations.

The survey was carried out across Class VIII, Class IX and Class X students of the state. To speed up the survey, the areas from where these students came were categorized into three zones: Zone A, Zone B and Zone C. The number of students sampled in each zone was 1000. The survey form was a simple four question paper in which the participant had to fill in the answer applicable to him.

The questions asked were:

Did you pass in Class VIII?

Did you pass in Class IX?

Did you pass in Class X?

Have you failed in your examination?

The answers to all the questions were to be in either YES or NO. There was no other answer possible.

The survey report was presented in the following format. The percentages as shown mean the percentage of students who answered YES to that particular question.

In the above charts, only the creator of the questionnaire knew what the options A, B, C and D meant.

In Zone C, he knew from looking at the above charts that 220 students of all the participants in the survey had failed in the examination. And further more, in all the three zones put together, the difference between the number of students who had passed in Class IX and those who had passed in Class X was 100.

Q.

If 18.5% of students passed in class VIII in Zone B, what is  the total number of students who passed in class X across the three Zones

Three persons A, B, and C together have to finish a task. It takes 75 minutes  for them to finish one-fourth of the task. A and C together take 75% of theMarks time taken by A and B together to finish the task. C takes 300 minutes lessthan B to finish the task. What is the time taken by A alone to finish the task?

Find the sum of the series:

A giraffe, standing at a point, G is watching the top of a tree of height 50 meters, which makes an angle of elevation of 30° with the giraffe’s eye. The giraffe walks a distance of 31V3 meters towards the tree to watch its top and the angle of the elevation becomes 60°. What is the height of the giraffe?

Two alloys are required to make a specific alloy used for metal extraction. This alloy is used in the mixture of metal extraction. The ratio of copper and iron in the first and the second alloy is 2 : 3 and 1 : 3 respectively. These alloys are mixed in different ratios everyday depending upon the needs of the metal extractor. On a particular day, an alloy having 90% copper was required. In what ratio the given two alloys be mixed?

The area of the shaded region shown in the figure is x. If D is the centre of the circle and ABCDEF is a regular hexagon, what is the area of the circle in terms of x?

In a group, there are 2 adults and 3 children. An adult is at least 18 years old.

Two years ago, the age of the eldest person from the group equals the sum of the current ages of the children. The current age of the youngest adult is 6 less than the sum of the current ages of the children. Three years ago, the ratio of the ages of the children was 1:2:4. There are exactly 3 adults in the group after 3 years. What is the sum of the current ages of the members of the group, if all ages are integral?

A gorilla eats an orange, an apple, a mango, a peach and a guava one by one at random. What is the probability that it eats the apple before eating the mango and guava

In a class of 56 students, each student studies at least one out of 3 languages - German, Spanish and French. 24 students study German, 28 students study Spanish and 30 students study French. 4 students study German and Spanish, but not French. 6 students study German and French, but not Spanish. 4 students study all the three languages. How many students study Spanish and French but not German?

There are three types of fruits at a fruit shop - apples, bananas and oranges. All apples cost the same, all bananas cost the same and all oranges cost the same. The total cost of apples, bananas and oranges is Rs. 2160. The average cost of each fruit is Rs. 36. The average cost of apples and bananas is Rs. 39, of bananas and oranges is Rs. 360/11 and of apples and oranges is 110/3. Were apples Rs. 1 costlier, bananas Rs. 6 costlier and oranges Rs. 7 costlier, the total average would be Rs. 41. What is the number of apples, bananas and oranges and the cost of each unit of these respective fruits?

Ajinkya starts walking in the north for 16 m. Then, he turns back and walks south for 8 m. Again he turns and walks north for 4 m. He continues this process of walking half the previous distance after turning. What will be his approximate distance from the starting point after he has turned around for 42⁴² times?

A rectangular shed ABCD of length 10^3 m and breadth 5 m exists on a field as shown in the figure below. A cow is πthered to the point O with a rope of length 28 m. Points O, A and B are collinear. l(OB) =10 m. Find the total area of the field (in sq.m) that the cow can graze, given that, it cannot enπr the shed.

Let A ₁ be a circle of radius r₁. An equilateral triangle B₁ is inscribed in this circle A₁ such that all the vertices of B₁ lie on the circumference of A₁. Another circle A₂ is inscribed in the triangle By such that touches all three sides of B₁. Another equilateral triangle B^ is inscribed in the circle A₂. Another circle A₃ is inscribed in the triangle B₂ and so on. What is the ratio of the perimeter of A₁₆  to the perimeter of B₁₃ ?