IIM Bangalore UG and BBA DBE · Paper 8

At a canteen, 3 sandwiches and 2 juices cost ₹270, while 2 sandwiches and 3 juices cost ₹230. What is the total cost (in ₹) of one sandwich and one juice?

The price of a phone was increased by 20%, then reduced by 20%, and later increased by 10%. What is the net change in its price compared with the original price?

What are the order and the degree of the differential equation $\frac{d^2y}{dx^2} = \sqrt{1 + \left(\frac{dy}{dx}\right)^3}$?

The table gives the number of athletes from five states who took part in different types of events at the recent National Games.

State: Track, Field, Swimming, Racket sports, Boxing and wrestling

Punjab: 420, 312, 540, 168, 360

Haryana: 288, 384, 480, 216, 384

Bihar: 552, 360, 432, 192, 456

Kerala: 528, 576, 504, 144, 408

Manipur: 336, 432, 408, 240, 396

In that National Games, if we consider participants from all states of India, including the five for which data has been provided, the total number of participants in the track events was 475% more than those who represented the five given states in track events, the total number of participants in the field events was 525% of those who represented the five given states in field events, and the total number of participants in swimming events was 4 times those who represented the five given states in swimming events. What was the combined number of participants in these three types of events at this National Games, if participants from all states of India were counted?

The sum of the first 3 terms of an AP is 6 and that of the last 3 terms is 16. If the AP has 13 terms, what is the arithmetic mean of the three terms that are exactly at the middle of the progression?

P invested ₹1 crore for a period of 5 years. Q invested the same amount for the same period that yields 10% interest compounded annually. At the end of 5 years, P received ₹94,900 more than what Q did. What annual rate of simple interest had P received on his investment?

A shopkeeper sold article A at a profit of 18% and article B at a loss of 10%, thus making an overall profit of ₹85. If he had sold article A at an 11% loss and article B at an 8% profit, he would have suffered a loss of ₹34. Find the sum (in ₹) of the cost prices of article A and article B.

A room, with a length of 18 m, a height of 15 m and a total surface area of $1332 \text{ m}^2$, is to be divided into 4 m wide small rooms by inserting plywood sheets in the room. To minimise the expenditure on the purchase of these sheets, how many $18 \text{ m} \times 15 \text{ m}$ sheets will be required to construct the maximum possible number of such small rooms, if the length and the height of the small rooms remain the same as that of the original room?

What is the area of the triangle with vertices $A(1, 1, 1)$, $B(2, 3, 4)$ and $C(4, -1, 2)$?

In how many ways can 10 identical chocolates be shared among 4 children so that every child gets at least 1 chocolate and no child gets more than 4?

Komal and Shalu walk 10 km together from the same point towards a point A in the north. From point A, Komal walks 6 km towards the south and then she walks 3 km towards the east. Also, from point A, Shalu walks 4 km towards the west and then walks 6 km towards the south. What is the distance between Shalu and Komal?

In a group of six persons named P, Q, R, S, T and U, each has a different age. R is elder than T. Q is younger than S. P is elder than U. U is elder than Q. S is younger than U. T is elder than P. Who is second eldest in the group?

The numbers below come from a Venn diagram of a group of people who are doctors, cricketers or musicians.

Doctors 113, Cricketers 79, Musicians 125

Doctors and Cricketers 33, Doctors and Musicians 74, Cricketers and Musicians 29

All three 18

(Each figure for two categories includes the people who belong to all three.)

How many doctors are musicians but are not cricketers?

Pointing to a girl, a man named Arjun said, "She is the daughter of my mother's only daughter." How is Arjun related to the girl?

Statement: Over the past three years, the number of students from a town who take the state engineering entrance test has fallen by 30%, while the number who take management entrance tests has doubled.

Conclusions:

I. More students from the town now take management entrance tests than take the state engineering entrance test.

II. Three years ago, fewer students from the town took management entrance tests than do so now.

Which of the conclusions follow(s) from the statement?

Read the passage and answer the question that follows.

Scholars once believed that agriculture spread from a single Middle Eastern point of origin to the four corners of the world. Today, scholars agree that agriculture sprang up in other parts of the world not by the action of Middle Eastern farmers exporting their revolution but entirely independently. People in Central America domesticated maize and beans without knowing anything about wheat and pea cultivation in the Middle East. South Americans learned how to raise potatoes and llamas, unaware of what was going on in either Mexico or the Levant. China's first revolutionaries domesticated rice, millet and pigs. North America's first gardeners were those who got tired of combing the undergrowth for edible gourds and decided to cultivate pumpkins. New Guineans tamed sugar cane and bananas, while the first West African farmers made African millet, African rice, sorghum and wheat conform to their needs. From these initial focal points, agriculture spread far and wide. By the first century AD, the vast majority of people throughout most of the world were agriculturists.

Which of the following is the most appropriate summary of the passage?

Choose the answer that best completes the analogy based on the semantic relationship between the first two words.

Learned : Scholarly :: Superficial : ?

Select the appropriate option that refers to the given sentence.

An indirect reference to someone or something

The given sentences, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a letter. Choose the most logical order of the sentences from among the given choices to construct a coherent paragraph.

A) The rise in inflation is a global phenomenon.

B) Although the reserve bank of India recently signaled higher short term interest rates, by and large it has preferred to restrain an explosive growth of bank lending only in certain sectors where bubbles are seen to be developing.

C) Along with many other countries, India is learning that there are no simple solutions.

D) The central bank has to strive for a balance between the imperatives of holding the price line and meeting genuine credit requirements.

E) Restraining credit growth by raising interest rates has not always been feasible.

F) For policy makers, supply side solutions involve the balancing of conflicting interests.

Four phrases are highlighted in the text below. Select the CORRECT option that shows the most appropriate one-word substitutes.

Leadership plays a pivotal role in organizational success. Effective leaders possess (a) magnetic qualities, which enables them to inspire and motivate their teams. They also exhibit (b) willingness to change in different conditions. Moreover, leaders with astute decision-making skills can make sound judgments based on critical analysis and (c) quick judgement without reasoning. Furthermore, communication skills are crucial for leaders to articulate their (d) specific view of the future, delegate tasks, and foster collaboration among team members.