Set 3

Eight students – S1 to S8 – are fighting for supremacy in a college. To prove their supremacy, these eight students compete with each other on one or more of five skills. Two students are said to be in a clash if there is at least one skill where they have equal proficiency. The table below lists the number of clashes for these students.

**Q1. How many clashes did S6 have?**

**Q2. The number of students competing on one skill set is atmost …**

**Q3. ****Each skill is given as many points as it has the number of students who have that skill set. If there is exactly one skill set where there was no clash, then the sum total of all the points is ______**

**Q4. The number of skill sets on which S1 competed is atmost…**

A travel agency operates in India and Nepal only and organizes tours for its customers. The travel agency had to organize trips to Switzerland, France and Italy for 40 of its customers. There were two more Nepalese customers than Indian customers. The packages offered by them included those where only one country, exactly two out of three countries or all three countries could be visited. Each package was taken by at least one traveller.

The following facts were also known:

- The ratio of the number of Nepalese travelers who selected the package for all three countries and the number of Indians who selected the same package is 1 : 2.
- 6 people selected both France and Italy, such that atleast one of these did not select Switzerland.
- The numbers of Indians who selected only Switzerland and only Italy were 20% more and 40% less than the number of Indians who only selected France respectively.
- The number of Indians who selected both Switzerland and France but not Italy was the same as the number of Nepalese who selected both Switzerland and Italy but not France; and this number was not 0.
- Less than 10 people selected only Switzerland and their number was 60% of the number of people who selected only France. Among those people who selected exactly one country, maximum people selected only France.
- 32 people selected exactly one place.

- 60%
- 50%
- 40%
- 30%

- 2 : 5
- 9 : 16
- 9 : 23
- 2 : 1

- 26.3%
- 23.6%
- 21%
- 15.7%

- 2
- 3
- 5
- 6

**Correct Answer 1**

c. 40%

**Correct Answer 2**

b. 9 : 16

**Correct Answer 3**

a. 26.3%

**Correct Answer 4**

b. 3

Ten colleges: COET, COEP, MIT, VIT, CNT, SNT, DNA, ABS, XOT, and ORT were rated on eight parameters: Accessibility, Infrastructure, Resources, Canteen, Industry Interface, Placement, Reputation and Alumni Network. Every college got non-negative integral points on every parameter.

The tables below gives the cumulative points of all the colleges parameter wise and also the cumulative points scored by each college on all the parameters put together. For instance, taking into account the points given to all the colleges, Resources got 25 points in all and VIT got 7 points in all across all parameters.

- 88.75
- 80.5
- 86.25
- 81.25

- 4
- 0
- 2
- 1

- 4
- 3
- 5
- 2

- 0
- 2
- 3
- 1

**Correct Answer 1**

d. 81.25

**Correct Answer 2**

d. 1

**Correct Answer 3**

b. 3

**Correct Answer 4**

a. 0

Maya weight management clinic had height, weight and BMI records for all its patients. It calculated the BMI as the approximate ratio of weight (in kg) to the square of the height (in m). A partially filled spreadsheet with records for seven randomly selected female patients is shown below. No two patients had the same height or weight. Heights (in cm) and weights (in kg) are integral

*As per norms, the clinic classifies patients into four categories based on their BMI: *

*Underweight – BMI < 18.5*

*Normal – 18.5 ≤ BMI < 25*

*Overweight – 25 ≤ BMI < 30 *

*Obese – 30 ≤ BMI *

*It is also known that: *

*The average weight of the random sample selected is 60 kg.**There is atleast one patient from each category and there are more “Normal” patients than the other three categories combined. The “Overweight” person has been asked to reduce exactly 5 kgs of weight to be just counted as “Normal”.**Nidhi was also taller than Pooja and shorter than Manisha. Rubina was heavier than Manisha but lighter than Pooja**The median height was 1.57 m (for Preeti) while the mean height was between 1.58 and 1.59 m.**Asma was 56% heavier than Rubina*

**Q1. ****What was Asma’s height (in cm)?**

**Q2. Kinjal was heavier and taller than how many people?**

**Q3. By how much did the highest BMI in the normal category exceed the lowest BMI in the normal category?**

**Q4. What maximum integral weight gain (in kg) would let Rubina be “normal”?**

In a laboratory, unit samples of chemicals A, B, C, D, E and F are made by mixing ingredients L, M, N, O and P by weight as shown in the table below:

The cost of each ingredient (in Rs. per mg) is: L – 150; M – 50; N – 125; O – 100; P – 75

A unit sample of chemical ABC represents a new sample formed by mixing a unit sample each of chemicals A, B and C. Similarly, unit samples of chemicals BCD, CDE and DEF are made

- ABC
- BCD
- CDE
- DEF

- A
- B
- C
- D

- 2
- 3
- 4
- 5

A cold drink manufacturing company produces 5 different types of cold drinks. The pie-chart given below shows the volume, in percentage, of each type of cold drink produced by that company in the last financial year.

The following information about the company is also known:

In the last financial year the company made a profit of 10 million dollars.

The total volume of cold drinks produced was 1 million litres.

Cold drinks of type C and D together made 45% of the total profit while cold drinks of type B and C together made 35% of the total profit.

The table below gives incomplete information about the profit (in dollars) made per litre for each type of cold drink.

**Q1. How much profit (in million dollars) did the cold drink of type E make?**

**Q2. What volume (in litres) of cold drink of type D was manufactured?**

**Q3. What is the profit per litre (in dollars) made by the cold drink of type C?**

**Q4. ****Considering the total profit made by the company, by how many percent points is the share of profit made by cold drink of type B less than that by cold drink of type C?**

**Correct Answer 1**

1 Million

**Correct Answer 2**

1.5 Litres

**Correct Answer 3**

20

**Correct Answer 4**

5% Less

The four faculties at a coaching institute are – Mukesh, Gautam, Vilas and Lakshman. Each of them teaches a different topic and each topic is related to a different course. The topics are – Aptitude, DI and DS, Verbal ability and NLP. The four courses, that these topics are related to are GRE, GMAT, CAT and Soft Skills – not necessarily in that order. Neither Lakshman nor Mukesh teach on any topic related to either CAT or GRE. Neither Aptitude nor DI and DS is related to either Soft Skills or GRE. Lakshman teaches NLP.

- Neither Gautam nor Vilas delivers a lecture on DI and DS
- Neither Aptitude nor DI and DS is the topic of Vilas
- Neither Vilas nor Mukesh teaches Aptitude
- None of the above

- Lakshman deals with the topic related to Soft Skills.
- Verbal ability is the topic related to GRE.
- DI and DS is the topic related to GMAT.

- Only I
- Only I and II
- Only III
- None of these

- Soft Skills
- CAT
- GMAT
- Cannot be determined

- Aptitude
- DI and DS
- Verbal ability
- Cannot be determined

**Correct Answer 1**

c. Neither Vilas nor Mukesh teaches Aptitude

**Correct Answer 2**

b. Only I and II

**Correct Answer 3**

b. CAT

**Correct Answer 4**

c. Verbal ability

The following Table gives the number of students across six different classes of Pune Modern School in the years 2010 and 2011.

It is also known that:

- New students join the school only in class V.
- No student leaves the school before passing out class X.
- The students who fail in a class in a year will study in the same class next year.

**Q1. What was the maximum possible number of students who joined the school in 2011? **

- 60%
- 16%
- 58.66%
- More than one of these

- 46.66%
- 48.33%
- 53.33%
- None of these

- 33.33%
- 67%
- 58%
- None of these

**Correct Answer 1**

76

**Correct Answer 2**

a. 60%

**Correct Answer 3**

b. 48.33%

**Correct Answer 4**

d. None of these

A sports drink manufacturing company carries out certain processes while manufacturing each bottle of its product. These processes have been listed in the first column of the table. Some processes can be carried out independently, while others may be dependent on the completion of other processes. The second column of the table lists the processes which must mandatorily be completed before the process mentioned in the first column begins. The third column lists the costs (in Rs.) of carrying out the processes mentioned in the first column to manufacture each bottle of the sports drink. One bottle is said to be manufactured when exactly one of processes E or K is completed. Completion of any process once is sufficient to ensure that all its dependent processes can also be started (provided their respective mandatory processes are also completed). For example: If H is completed once, both A and J can be started, provided C has been completed.

- Rs. 38
- Rs. 36
- Rs. 34
- None of these

- 23 minutes
- 26 minutes
- 28 minutes
- 37 minutes

- 49 minutes
- 46 minutes
- 34 minutes
- None of these

**Correct Answer 1**

d. None of these

**Correct Answer 2**

a. 23 minutes

**Correct Answer 3**

d. None of these

The table given below shows the answers given by four people, namely Mithun, Rajnikant, Prabhudeva and Naresh in an entrance exam taken by CICIC Bank. The question paper contained four questions, all carrying equal marks and each of them having four answer choices, namely pq, qr, rs and st. The examiner forgot the correct answers to the questions, but he remembers that each one of them got at least one answer correct and that at least one person answered a question correctly. No two people had same total marks in the exam.

- Mithun
- Rajnikant
- Naresh
- Cannot be determined

- 4
- 8
- -4
- Cannot be determined

- pq
- qr
- st
- Data Insufficient

**Correct Answer 1**

a. Mithun

**Correct Answer 2**

20

**Correct Answer 3**

a. 4

**Correct Answer 4**

b. qr

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