All Courses
Get the App Signup / Login
Sign in Open App
CAT Exam  >  CAT Tests  >  Practice Test for IIFT - 8 - CAT MCQ

Practice Test for IIFT - 8 - CAT MCQ


Test Description

30 Questions MCQ Test - Practice Test for IIFT - 8

Practice Test for IIFT - 8 for CAT 2024 is part of CAT preparation. The Practice Test for IIFT - 8 questions and answers have been prepared according to the CAT exam syllabus.The Practice Test for IIFT - 8 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Practice Test for IIFT - 8 below.
Solutions of Practice Test for IIFT - 8 questions in English are available as part of our course for CAT & Practice Test for IIFT - 8 solutions in Hindi for CAT course. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free. Attempt Practice Test for IIFT - 8 | 120 questions in 120 minutes | Mock test for CAT preparation | Free important questions MCQ to study for CAT Exam | Download free PDF with solutions
Practice Test for IIFT - 8 - Question 1
Save

Group Question

Answer the following questions based on the information given below.


Modes of transport between Cities

Distance between cities in kms

Mode of Transport and Cost

 

 

Q. For which of the following direct trips, is the travel time the least?

Detailed Solution for Practice Test for IIFT - 8 - Question 1

Travel time = Distance/Speed A - E : Distance = 500 km, mode of transport - train (@ 65 kmph) and travel time = 500/65 ⇒ 7.7 hours

B - D : Distance = 1200 km, mode of transport - train (@ 65 kmph) and travel time = 1200/65 ⇒ 18.5 hours

C - F : Distance = 500 km, mode of transport - bus (@ 50 kmph) and travel time = 500/50 = 10 hours D - A : Distance = 200 km, mode of transport - ship (@ 30 kmph) and travel time = 200/30 = 6.67 hours Hence, option 4.

Practice Test for IIFT - 8 - Question 2
Save

Modes of transport between Cities

Distance between cities in kms

Mode of Transport and Cost

 

 

Q. If the ship service across the country is discontinued due to a super cyclone, which of these is the least cost route from B to F?

Detailed Solution for Practice Test for IIFT - 8 - Question 2

Solution: Cost = Distance travelled in Km x Cost per Km, for each leg of the journey.
B - A - F: B-A by train and A-F by bus. i.e. (700 x 2) + (600 x 3) = Rs. 3,200

B - C - F: B-C by airplane and C-F by bus. (800 x 6) + (500 x 3) = Rs. 6,300

B - D - F : B-D by train and D-F by airplane. (1200 x 2) + (900 x 6) = Rs. 7,800

B - E - F : B-E by bus and E-F by bus.

(100 x 3) + (400 x 3) = Rs. 1,500 Thus, B-E-F is the least cost route.
Hence, option 4.

1 Crore+ students have signed up on EduRev. Have you? Download the App
Practice Test for IIFT - 8 - Question 3
Save

Modes of transport between Cities

Distance between cities in kms

Mode of Transport and Cost

 

 

Q. A person from city E wants to visit A, D and F only,  necessarily in that order. What would be the minimum travel cost incurred by him (in Rs.)?

Detailed Solution for Practice Test for IIFT - 8 - Question 3

There are 6 possible ways: 

E - A - D - F
Cost = (500 x 3) + (200 x 6) + (900 x 6) = Rs. 8,100

E - A - F - D
Cost = (500 x 3) + (600 x 3) + (900 x 6) = Rs. 8,700

E - D - A - F
Cost = (200 x 2) + (200 x 1) + (600 x 3) = Rs. 2,400

E - D - F - A
Cost = (200 x 2) + (900 x 6) + (600 x 2) = Rs. 7,000 

E - F - A - D
Cost = (400 x 3) + (600 x 2) + (200 x 6) = Rs. 3,600

E - F - D - A
Cost = (400 x 3) + (900 x 6) + (200 x 1) = Rs. 6,800 Thus, the minimum cost incurred is Rs. 2,400 over the path E - D - A - F
Hence, option 2.

 

Practice Test for IIFT - 8 - Question 4
Save

Modes of transport between Cities

Distance between cities in kms

Mode of Transport and Cost

 

 

Q. Which of the following cities can be reached from C in the least time?
Detailed Solution for Practice Test for IIFT - 8 - Question 4

This question can be answered by direct observation. From the table, wr.r.t C, A is the closest among the four cities mentioned and the mode of transportation there is airplane, which is the fastest mode.
Thus, C - A takes the least possible time.
Hence, option 4.

Practice Test for IIFT - 8 - Question 5
Save

Modes of transport between Cities

Distance between cities in kms

Mode of Transport and Cost

 

 

Q. Which of these is the least cost way to reach C from E?
Detailed Solution for Practice Test for IIFT - 8 - Question 5

(1) Train from E to C Cost = 1100 x2 = Rs. 2,200 (2) Train from E to D and a bus from D to C Cost = 200 x 2 + 600 x 3 = Rs. 2,200 (3) Bus from E to F and a train from F to C Cost = 400 x 3 + 500 x 2 = Rs. 2,200 Hence, option 4.

Practice Test for IIFT - 8 - Question 6
Save

Group Question

Answer the following question based on the information given below.


The charts given below describe the mobile network sector of a country. The total number of customers catered to by various mobile network providers is 100 million. Each customer uses only one network provider from among Airtel, Vodafone, Docomo, BSNL and Idea.


The pie chart below shows the market share of these five companies (% terms for number of customers) in 2011 

 

The bar graph below shows the company-wise annual (Year-on- Year) growth rate in the number of customers from 2012 to 2014

 

The bar graph below shows the percentage of customers who are less than 25 years of age (from 2012 to 2014) 

 

 

Q. What is the total number of customers less than 25 years of  age across all mobile network providers in the year 2012? 
Detailed Solution for Practice Test for IIFT - 8 - Question 6

In 2011, since total customers = 100 million, customers of the various network providers are 34 million, 29 million, 21 million, 10 million and 6 million respectively.
The total number of customers less than 25 years of age across all mobile network providers in the year 2012 = (34 x 1.1 x 0.5) + (29 x 1.05 x 0.5)+ (21 x 1.15 x 0.2) + (10 x 1.2 x 0.1) +(6 x 1.1 x 0.25) = 18.7 + 15.225 + 4.83 + 1.2 + 1.65
= 41.605 million Hence, option 3

Practice Test for IIFT - 8 - Question 7
Save

The charts given below describe the mobile network sector of a country. The total number of customers catered to by various mobile network providers is 100 million. Each customer uses only one network provider from among Airtel, Vodafone, Docomo, BSNL and Idea.


The pie chart below shows the market share of these five companies (% terms for number of customers) in 2011 

 

The bar graph below shows the company-wise annual (Year-on- Year) growth rate in the number of customers from 2012 to 2014

 

The bar graph below shows the percentage of customers who are less than 25 years of age (from 2012 to 2014) 

 

 

Q. The number of Docomo users in 2014, when compared to 2012,_____.
Detailed Solution for Practice Test for IIFT - 8 - Question 7

The number of Docomo users in 2012 = 21 x 1.15 = 24.15 million.
The number of Docomo users in 2014 = 21 x 1.15 x 1.1 x 1.15 = 30.55 million.
Thus, the number of Docomo users increased by 6.4 million.
Hence, option 1.

Practice Test for IIFT - 8 - Question 8
Save

The charts given below describe the mobile network sector of a country. The total number of customers catered to by various mobile network providers is 100 million. Each customer uses only one network provider from among Airtel, Vodafone, Docomo, BSNL and Idea.


The pie chart below shows the market share of these five companies (% terms for number of customers) in 2011 

 

The bar graph below shows the company-wise annual (Year-on- Year) growth rate in the number of customers from 2012 to 2014

 

The bar graph below shows the percentage of customers who are less than 25 years of age (from 2012 to 2014) 

 

 

Q. How many customers of Airtel in the year 2013 are 25 years old or older?  
Detailed Solution for Practice Test for IIFT - 8 - Question 8

The number of customers of Airtel who are 25 years old or older in the year 2013 = 34 x 1.1 x 1.1 x (1-0.45) = 34 x 1.1 x 1.1 x 0.55 = 22.627 million 

Hence, option 2.

Practice Test for IIFT - 8 - Question 9
Save

The charts given below describe the mobile network sector of a country. The total number of customers catered to by various mobile network providers is 100 million. Each customer uses only one network provider from among Airtel, Vodafone, Docomo, BSNL and Idea.


The pie chart below shows the market share of these five companies (% terms for number of customers) in 2011 

 

The bar graph below shows the company-wise annual (Year-on- Year) growth rate in the number of customers from 2012 to 2014

 

The bar graph below shows the percentage of customers who are less than 25 years of age (from 2012 to 2014) 

 

 

Q. In 2012, among customers who are less than 25 years of age, approximately what percentage are Vodafone users?
Detailed Solution for Practice Test for IIFT - 8 - Question 9

From the solution to the first question, the total number of customers less than 25 years of age across all mobile network providers in the year 2012 = 41.6 million.
The number of Vodafone users less than 25 years of age in the year 2012 = 29 x 1.05 x 0.5 = 15.225 million.
Required percentage = 15.225/41.6 x 100 = 36.6% Hence, option 3.

Practice Test for IIFT - 8 - Question 10
Save

The charts given below describe the mobile network sector of a country. The total number of customers catered to by various mobile network providers is 100 million. Each customer uses only one network provider from among Airtel, Vodafone, Docomo, BSNL and Idea.


The pie chart below shows the market share of these five companies (% terms for number of customers) in 2011 

 

The bar graph below shows the company-wise annual (Year-on- Year) growth rate in the number of customers from 2012 to 2014

 

The bar graph below shows the percentage of customers who are less than 25 years of age (from 2012 to 2014) 

 

 

Q. What is the approximate sum of the number of Idea and BSNL users in the year 2013?
Detailed Solution for Practice Test for IIFT - 8 - Question 10

The number of BSNL users in 2013 = 10x1.2 x 1.15 = 13.8 million.
The number of Idea users in 2013 = 6 x 1.1 x 1.05 = 6.93 million. 

Required sum = 13.8 + 6.93 = 20.73 million.
Hence, option 3.

Practice Test for IIFT - 8 - Question 11
Save

Group Question

Answer the following question based on the information given below.


In the years 2012 and 2013, the intake for MBA colleges IIM-F, IIM-V, IIM-X and IIM-Z was 250, the intake for IIM-Y was 300, the intake for IIM-W was 500 and the intake for IIM-N was 400. In the years 2014 and 2015, the intake for IIM-F, IIM-V, IIM-X and IIM-Z was 300 each, the intake for IIM-Y was 400, the intake for IIM-W was 700 and for IIM-N was 500. Table-1 gives the number of students with engineering background out of the total intake for each of the colleges in the years 2012 to 2015.Table-2 shows the number of male engineers and Table-3 shows the number of female non-engineers.

 

Table-1: Number of Engineers

 

Table-2: Number of Male Engineers

 

Table-3: Number of Female Non-Engineers

Analyse the given tables and answer the following questions.

 

Q. In the year 2013, what is the number of colleges in which  the number of female engineers was more than the number of female non-engineers?  
Detailed Solution for Practice Test for IIFT - 8 - Question 11

The number of female engineers is given in the table below: 

Comparing it with Table-3, in the year 2013, the number of colleges in which the number of engineering females was more than the number of non-engineering females is 6.
Hence, option 3.

Practice Test for IIFT - 8 - Question 12
Save

In the years 2012 and 2013, the intake for MBA colleges IIM-F, IIM-V, IIM-X and IIM-Z was 250, the intake for IIM-Y was 300, the intake for IIM-W was 500 and the intake for IIM-N was 400. In the years 2014 and 2015, the intake for IIM-F, IIM-V, IIM-X and IIM-Z was 300 each, the intake for IIM-Y was 400, the intake for IIM-W was 700 and for IIM-N was 500. Table-1 gives the number of students with engineering background out of the total intake for each of the colleges in the years 2012 to 2015.Table-2 shows the number of male engineers and Table-3 shows the number of female non-engineers.

 

Table-1: Number of Engineers

 

Table-2: Number of Male Engineers

 

Table-3: Number of Female Non-Engineers

Analyse the given tables and answer the following questions.

 

Q. In which of the following colleges has the percentage of engineers out of total intake not been more than 50% in every year from 2012 to 2015?
Detailed Solution for Practice Test for IIFT - 8 - Question 12

In Table-1, if the number of engineers is more than half of the total intake in a particular year, then the percentage of engineers is more than 50%.
Thus, we can see that the percentage of engineers out of total intake is more than 50% in every year only for IIM-Y.
Hence, option 3.

Practice Test for IIFT - 8 - Question 13
Save

In the years 2012 and 2013, the intake for MBA colleges IIM-F, IIM-V, IIM-X and IIM-Z was 250, the intake for IIM-Y was 300, the intake for IIM-W was 500 and the intake for IIM-N was 400. In the years 2014 and 2015, the intake for IIM-F, IIM-V, IIM-X and IIM-Z was 300 each, the intake for IIM-Y was 400, the intake for IIM-W was 700 and for IIM-N was 500. Table-1 gives the number of students with engineering background out of the total intake for each of the colleges in the years 2012 to 2015.Table-2 shows the number of male engineers and Table-3 shows the number of female non-engineers.

 

Table-1: Number of Engineers

 

Table-2: Number of Male Engineers

 

Table-3: Number of Female Non-Engineers

Analyse the given tables and answer the following questions.

 

Q. For which of the given colleges is the sum of non-engineers in 2012 and 2013 more than the sum of non-engineers in 2014 and 2015?
Detailed Solution for Practice Test for IIFT - 8 - Question 13

The number of non-engineers is given in the table below. 

We can see that the sum of non-engineers in 2012 and 2013 is more than the sum of non-engineers in 2014 and 2015 only for IIM-Y.
Hence, option 2.

Practice Test for IIFT - 8 - Question 14
Save

In the years 2012 and 2013, the intake for MBA colleges IIM-F, IIM-V, IIM-X and IIM-Z was 250, the intake for IIM-Y was 300, the intake for IIM-W was 500 and the intake for IIM-N was 400. In the years 2014 and 2015, the intake for IIM-F, IIM-V, IIM-X and IIM-Z was 300 each, the intake for IIM-Y was 400, the intake for IIM-W was 700 and for IIM-N was 500. Table-1 gives the number of students with engineering background out of the total intake for each of the colleges in the years 2012 to 2015.Table-2 shows the number of male engineers and Table-3 shows the number of female non-engineers.

 

Table-1: Number of Engineers

 

Table-2: Number of Male Engineers

 

Table-3: Number of Female Non-Engineers

Analyse the given tables and answer the following questions.

 

Q. In which year(s), for IIM-Z, was the number of nonengineering males more than the number of engineering males?
Detailed Solution for Practice Test for IIFT - 8 - Question 14

Number of male non-engineers = Intake - (Number of engineers + number of female non-engineers) The number of male non-engineers is given in the table below: 

Comparing with Table-2, the number of non-engineering males is more than the number of engineering males in the year 2015.
Hence, option 3.

Practice Test for IIFT - 8 - Question 15
Save

In the years 2012 and 2013, the intake for MBA colleges IIM-F, IIM-V, IIM-X and IIM-Z was 250, the intake for IIM-Y was 300, the intake for IIM-W was 500 and the intake for IIM-N was 400. In the years 2014 and 2015, the intake for IIM-F, IIM-V, IIM-X and IIM-Z was 300 each, the intake for IIM-Y was 400, the intake for IIM-W was 700 and for IIM-N was 500. Table-1 gives the number of students with engineering background out of the total intake for each of the colleges in the years 2012 to 2015.Table-2 shows the number of male engineers and Table-3 shows the number of female non-engineers.

 

Table-1: Number of Engineers

 

Table-2: Number of Male Engineers

 

Table-3: Number of Female Non-Engineers

Analyse the given tables and answer the following questions.

 

Q. Which of the following statement(s) is/are true? 

I. For IIM-N, the number of non-engineering males was highest in the year 2015.
II. Out of the total number of non-engineers at IIM-F in the year 2014, the number of females was approximately 40%.
III. In 2013, the number of engineering females was highest in IIM-N.
Detailed Solution for Practice Test for IIFT - 8 - Question 15

Using the tables given in previous solutions, we can see that only statements I and II are correct.
In 2013, the number of engineering females was highest in IIM-Z.
Hence, option 2.

Practice Test for IIFT - 8 - Question 16
Save

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 the time taken by A and B together to finish the task. C takes 300 minutes less than B to finish the task. What is the time taken by A alone to finish the task?
Detailed Solution for Practice Test for IIFT - 8 - Question 16

Since A, B and C take 75 minutes to finish one-fourth of a task, they take 300 minutes i.e. 5 hours, to complete the entire task.
Let the total work be some multiple of 5, say 25 units.
Let a, b and c be the amount of work done by A, B and C per hour. a + b + c = 25/5 = 5 units/hour ... (i) A and C together take 75% of the time taken by A and B together to finish the task.

Substituting this value of a in (i), 3c - 4 b + b + c = 5. 4c - 3b = 5 ... (ii) C takes 300 minutes less than B to finish the task i.e. C takes 5 hours less.

Substituting the value of c from (ii) in (iii) 

15b + 25 - 20b = 3b2 + 5b,  
3b2 + 10b - 25 = 0
.*.b = 5/3 o r -15 .

b has to be positive as it corresponds to amount of work done by B per hour i.e. b = 5/3 Substituting this value in (iii), c = 5/2 Substituting the value of b and c in (i),

Hence, option 4.

Practice Test for IIFT - 8 - Question 17
Save

Find the sum of the series: 
Detailed Solution for Practice Test for IIFT - 8 - Question 17

The given series is: 


Hence, option 3.

Practice Test for IIFT - 8 - Question 18
Save

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 31√3 meters towards the tree to watch its top and the angle of the elevation becomes 60°. What is the height of the giraffe?
Detailed Solution for Practice Test for IIFT - 8 - Question 18

Let the height of the giraffe be h m.
Hence, the given situation can be represented as shown below:  

Practice Test for IIFT - 8 - Question 19
Save

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?
Detailed Solution for Practice Test for IIFT - 8 - Question 19

Since both the alloys have copper content of less than 90%, it is not possible to obtain an alloy having 90% copper content by mixing these alloys in any proportion.
Hence, option 4.
 

Practice Test for IIFT - 8 - Question 20
Save

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? 
Detailed Solution for Practice Test for IIFT - 8 - Question 20

Area of the shaded region is x.

Hence, option 3.

Practice Test for IIFT - 8 - Question 21
Save

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?
Detailed Solution for Practice Test for IIFT - 8 - Question 21

Currently there are 2 adults in the group and 3 years later there are exactly 3 adults in the group.
Thus the eldest child in the initial group could be 15, 16 or 17 years old. Also, 3 years before, the ratio o f the ages o f the children was 1 : 2 : 4 . 3 years ago, ages o f the children are 3, 6 and 12 (to get the ratio 1 : 2 : 4 ) Current ages of children are 6, 9 and 15.
Sum of the ages of children = 30 Two years ago, the age of eldest person from the group equals the sum of the current ages of the children. => 30 = E - 2 or E = 32. 

The current age of the youngest adult is 6 less than the sum of the current ages of the children. => 30 = Y + 6 or Y= 24 Sum of the current ages of the group = 30 + 32 + 24 = 86 Hence, option 4.

Practice Test for IIFT - 8 - Question 22
Save

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?
Detailed Solution for Practice Test for IIFT - 8 - Question 22

The 5 fruits can be eaten in 5! = 120 ways.
The apple has to be the first, second or third fruit to be eaten.
Case 1: The apple is eaten first.
Since the apple just has to be eaten before the mango and guava (and the relative order of the mango and guava is unimportant), the remaining four fruits can be eaten in 4! = 24 ways.
Case 2: The apple is eaten second.
Now, the mango and guava can be eaten third, fourth or fifth in 3C2 ways ie. 3 ways.
Also, the order of the mango and guava can be interchanged, they can be eaten in 3 x 2 = 6 ways.

The remaining two fruits can be eaten in 2! = 2 ways. Total ways = 6 x 2 = 1 2 ways Case 3: The apple is eaten third.
The mango and guava have to be fourth and fifth (in any order). Since their order can be interchanged, they can be eaten in 2 ways.
The remaining two fruits can be eaten in 2! = 2 ways. Total ways = 2 x 2 = 4 ways Total number of ways in which the apple is eaten before the mango and guava = 24 + 12 + 4 = 40

Hence, option 1.

Practice Test for IIFT - 8 - Question 23
Save

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?
Detailed Solution for Practice Test for IIFT - 8 - Question 23

The given data can be represented as shown below: 

So c + d = 20 ..... (iii) From (ii) and (iii), b = c ..... (iv) The total number of students in the class = 56. Therefore 24 + b + d + c = 56.

b + d + c = 3 2 ..... (v) From (iii) and (v), b = 12 and then from (ii), d= 8 Thus, the number of students who study Spanish and French, but not German = 8
Hence, option 1.

Practice Test for IIFT - 8 - Question 24
Save

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?
Detailed Solution for Practice Test for IIFT - 8 - Question 24

The data in the question gives us six equations in six unknowns, which are difficult to solve. So we evaluate options instead.
We can see that only option 1 satisfies the fact that the total cost is Rs. 2160. Hence, option 1.

Practice Test for IIFT - 8 - Question 25
Save

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?
Detailed Solution for Practice Test for IIFT - 8 - Question 25

The distances travlled by Ajinkya will form a G.P. with a = 16 and r = -1/2. For the total distance, the direction of the travel will not matter.
Since he takes 4242 turns, this can be considered as an approximate infinite series
Thus, the distance will be 16/(1+1/2) = 10.66 m Hence, option 2.

Practice Test for IIFT - 8 - Question 26
Save

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 tethered 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 enter the shed.
Detailed Solution for Practice Test for IIFT - 8 - Question 26

The path used to graze by the cow is as shown below: 

As shown in the figure, the total area of the field that the cow can graze 

Hence, option 3.

Practice Test for IIFT - 8 - Question 27
Save

Let A1 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 B1 such that A2 touches all three sides of B1. Another equilateral triangle B2 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 o f A16 to the perimeter of B13 ?
Detailed Solution for Practice Test for IIFT - 8 - Question 27

Radius of circle A1 is r1. 

It can be observed from the figure that, radius of A2 is r1/2 and length of side of B1 is √3r1
Thus, the radii of circles A1, A2, A3 and so on, form a GP with common ratio 1/2.
Also, the length o f each side o f triangles B1, B2 , B3 and so on, form a GP with common ratio 1/2.

Hence, option 1.

Practice Test for IIFT - 8 - Question 28
Save

Tata Motors manufactures cars in two batches. 1/9th of the cars in batch A and 2/7th of the cars in batch B are defective. If two cars are selected, one each from each batch, what is the probability that exactly one of the cars is non-defective?
Detailed Solution for Practice Test for IIFT - 8 - Question 28

Exactly one of the cars is non-defective.
Required probability = (Batch A is non-defective and B is defective) or (Batch A is defective and B is non-defective) = (8/9) x (2/7) + (1/9) x (5/7) = 21/63
= 1/3
Hence, option 3.

Practice Test for IIFT - 8 - Question 29
Save

The efficiency of tap A is 80% less than that of tap B. If both the taps are simultaneously opened, the tank gets filled in 60 hours. What is the time taken to fill the tank if only tap A is opened?
Detailed Solution for Practice Test for IIFT - 8 - Question 29

The efficiency of tap A is 80% less than that of tap B i.e. it is 20% of tap B’ efficiency.
Let the efficiency of tap B be 1 unit/hour. Efficiency of tap A = 0.2 units/hour When both taps are opened simultaneously, they fill 0.2 + 1 i.e. 1.2 units/hour.
Since the tank gets filled in 60 hours, capacity of tank = 60 x 1.2 = 72 units

Hence, option 2.

Practice Test for IIFT - 8 - Question 30
Save

If f{x} denotes the smallest integer greater than or equal to x, what is the positive difference between the maximum and minimum value of y * f{x} such that: - 3 .2  x  3.2 and y = (y ,y  integers, |y| < 15}  
Detailed Solution for Practice Test for IIFT - 8 - Question 30

The maximum value of f{x} as well as y is positive.
So, y x f{x} takes its maximum value when both f{x} and y are maximum.
Maximum value of y x f{x} = 14 xf{3.2} = 14 x 4 = 56. The minimum value of f{x} as well as y is negative.
Hence, if both of them are considered for minimum value of y x f{x}, the product becomes positive (which is not minimum).

Hence, consider the minimum value of one and the maximum value of the other variable to get the minimum product (as their signs will be negative).
Minimum value of y x f{x} = -14 xf{3.2} = -14 x 4 = -56 Hence, option 4.
Note: If you take y = 14 (maximum) and f{-3.2} = -3 (i.e. minimum), the product becomes -42. This is not the minimum value of the product, as seen above.

View more questions
Information about Practice Test for IIFT - 8 Page
In this test you can find the Exam questions for Practice Test for IIFT - 8 solved & explained in the simplest way possible. Besides giving Questions and answers for Practice Test for IIFT - 8, EduRev gives you an ample number of Online tests for practice

Top Courses for CAT

Download as PDF

Top Courses for CAT

Important Questions for Practice Test for IIFT - 8

Find all the important questions for Practice Test for IIFT - 8 at EduRev.Get fully prepared for Practice Test for IIFT - 8 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Practice Test for IIFT - 8 syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Practice Test for IIFT - 8 resources.

Practice Test for IIFT - 8 MCQs with Answers

Prepare for the Practice Test for IIFT - 8 within the CAT exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Practice Test for IIFT - 8

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Practice Test for IIFT - 8 with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup