IIM Bangalore UG and BBA DBE · Paper 6

The table gives economic indicators of six countries for the financial year 2022-23. The debt to GDP ratio measures total debt (public and private) relative to GDP; the fiscal deficit is total expenditure minus total revenue.

Country: Inflation (%), Long-term interest rate (% p.a.), Debt to GDP ratio (%), Fiscal deficit (% of GDP)

Country 1: 2.33, 3.57, 71.28, 4.92

Country 2: 3.66, 4.24, 101.91, 5.04

Country 3: 2.59, 5.11, 62.43, 6.06

Country 4: 2.72, 3.68, 47.72, 5.08

Country 5: 3.05, 6.55, 8.21, 2.3

Country 6: 1.88, 4.12, 46.31, 4.12

In the financial year 2022-23, only countries with a long-term interest rate below 4%, a debt to GDP ratio under 60% and a fiscal deficit not exceeding 4.6% received a AAA rating among the six considered. The number of country(ies) with AAA rating is(are):

A sum of ₹7,740 is divided between X, Y and Z such that the ratio of the share of X to the combined share of Y and Z is $4 : 11$ and the ratio of the share of Z to the combined share of X and Y is $1 : 3$. What is the share (in ₹) of Y?

Find the sum of the smallest value and the greatest value of $x$ that satisfy the inequality $|5x + 5| - 8 \le 17$.

A batter's average after 24 innings is 42 runs. How many runs must she score in the 25th innings to raise her average to 45?

A pie chart of a family's monthly budget of ₹60,000 shows these shares.

Next month the rent goes up by 20%. The budget stays the same, and the whole increase is taken out of savings. How much will the family save next month?

If $f(x) = x - 1$ and $g(f(x)) = 3 + 2x - x^2 + x^3$, which of the options below gives a correct expression for $g(x)$?

A container holds 80 litres of pure milk. 8 litres are taken out and replaced with water. This is done two more times, so the process happens three times in all. How many litres of milk are left in the container?

What is $\int e^x (x + 1)^2\,dx$?

What is the term independent of $x$ in the expansion of $\left(2x^2 - \frac{1}{x}\right)^9$?

Sahil can complete a job in 20 days when working alone. Manoj is twice as fast as Sahil and three times as fast as Ashish in the same job. The collaborative work arrangement involves Sahil and Manoj working on the first day, Sahil and Ashish on the second day, and Manoj and Ashish on the third day. This three-day cycle continues till the work is completed. What fraction of the total work will then be done by Ashish till the job is completed?

What should come in place of ‘?’ in the given series?

7, 17, 26, 34, ?

In a certain code language, 'sky is blue' is written as 'ka lo mi', 'blue sea waves' is written as 'mi ro ti', and 'sea is deep' is written as 'pa lo ro'. The codes within a phrase need not be in the same order as the words. Which of the following is the code for 'deep sky'?

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

All mangoes are oranges.

No banana is orange.

Conclusions:

I. No mango is a banana.

II. At least some oranges are mangoes.

If 1st January 2020 is a Wednesday, then what will be the day of the week on 15th September 2020?

Republic Day in 2027 (26 January) falls on a Tuesday. What weekday does Republic Day fall on in 2029?

Select the CORRECT option to fill in the blank.

I drove out early one morning to Hemis to witness one of the greatest events of the Ladakhi calendar, the Tse-Chu festival. ______. I concluded that this is how the traditional culture flourished, until a Ladakhi pointed out that such goods could be aimed only at the tourist market. The few Ladakhis in evidence were clustered around the homemade roulette wheels set among the trees.

Read the passage and answer the question that follows.

Drawing is arguably the most ancient form of visual art, whether on the body or on stone. The earliest known drawing by a human was reported in 2018 from the Blombos Cave, South Africa: some 73,000 years ago, a human hand took an ochre crayon and carved a crosshatch design on a silcrete stone flake. The medium of drawing is engrained in us all. It's our first means of expression and creativity. Drawing has always been vital to every artist's practice, dating from the Renaissance when drawing flourished, to today, when artists use drawings to create powerful films and express their personal grief and loneliness. Though drawing's popularity has "ebbed and flowed for centuries", there was a deep ebb in the 1970s, when the academic art world saw it as "very unfashionable". Drawing is enjoying popularity again, appreciated for its therapeutic qualities and the sense of "flow" it engenders, especially since the lockdowns during the pandemic. Student intake (online) at the Royal Drawing School (RDS), London, doubled in 2020 from 1,000 students a week, and has grown steadily to 3,000 today, with the life drawing module accounting for more than half of the enrolments. "I think that showed there was a real longing for human touch and contact," says Balchin, principal of RDS. Students confirmed it helped mental wellbeing. "Many came purely for that… to slow the pace of life."

Picking up a pencil or charcoal and mindfully making marks connects us to our haptic skills and offers a respite or rest from the relentless digital drain, which is important for mental health. According to Gilbert, a curator of modern art, drawing in particular, offers "a relief from looking at screens, which we're so addicted to. A life drawing class, especially, forces you to look at the world, one not mediated through a screen, and translate that". Zhang, a contemporary Chinese artist believes that art has "the power to assuage psychological suffering". Robert Malbert, a writer on contemporary art, relates to the idea of drawing's healing properties: "I've always drawn in a mildly therapeutic way," he says. "When drawing from nature, I find concentrated time sitting in a natural environment, drawing… is definitely mood enhancing." He equates it to doing yoga "when you're not thinking of anything else".

Which of the following statements is NOT TRUE according to the text?

Select the CORRECT option that shows the most appropriate idiom to fill in the blank and complete the sentence below.

The applicant for the gym membership was reluctant to ______ until she had verified all the pros and cons of the facility.

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

A. The team worked tirelessly through the night, fueled by coffee and determination.

B. Finally, as the first light of dawn crept over the horizon, they completed the project.

C. Despite the setbacks they faced, they never lost sight of their goal.

D. It was a moment of triumph, marking the culmination of weeks of hard work.

The given sentences, when arranged in the correct order, form a coherent paragraph. Each sentence is labelled. Select the most logical sequence of the sentences from the options given below to construct a meaningful paragraph, keeping 1 as the first sentence and 6 as the last sentence.

Social media platforms constantly present carefully curated images of success, luxury, achievement, and happiness that rarely reflect people’s actual lives.

P - This unhealthy dependence on external approval eventually leads to stress, emotional exhaustion, loss of individuality, and a lingering sense of depression.

Q - As this fear intensifies, many individuals begin neglecting their genuine relationships, personal aspirations, and emotional well-being while seeking online validation.

R - Continuous exposure to these idealised portrayals gradually creates feelings of inadequacy, dissatisfaction, and the fear of missing out among viewers.

S - To overcome such anxiety, individuals must practise self-reflection, identify their authentic values and aspirations, and reject impulsive desires shaped by digital trends.

Once people begin living according to their true purpose rather than social media expectations, they experience greater freedom, inner peace, confidence, and lasting happiness.