IIM Bangalore (BBA-DBE) (QA) PYQs

A merchant made two types of mixed oils P & Q with three different types of oils, X, Y and Z in the ratios 3:2:5 and 4:3:3 respectively with the costs of each litre of X, Y and Z being ₹120, ₹125 and ₹150 respectively. How much profit will the merchant make if he sells 100 litres each of P and Q at the same rate of ₹136 per litre?

If $1, \omega, \omega^2$ are the cube roots of unity, then the value of $ \dfrac{1+9+11\omega^2}{\omega^2+9+11\omega} + \dfrac{3+5\omega+7\omega^2}{3\omega+5\omega^2+7} $ is:

The ratio of monthly income of P to monthly income of Q is 9: 11, and P's savings are $\frac{100}{3}$ % more than Q's savings. What is the expenditure (in ₹) of P, if the sum of monthly income of P and Q is ₹2,40,000, and expenditure (in ₹) of Q is ₹84000?

In a flight of 1400 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 450 km/h and the time of flight increased by 60 minutes. The speed of the aircraft due to bad weather is what percent (rounded off to 2 decimal places) of the original speed of the aircraft?

What is the sum of the infinite series: $1 - \frac{1}{2} - \frac{1}{4} + \frac{1}{8} - \frac{1}{16} - \frac{1}{32} + \frac{1}{64} - \frac{1}{128} - \frac{1}{256} + \dots?$

A and C together can complete a certain work in 30 days. B is 20% more efficient than C. A, B and C together can do the same work in 20 days. C alone completed one fourth of the work and the remaining work was completed by A and B together. In how many days was the entire work completed?

A person hosts a party of 13 guests and places 5 of them on one table and the remaining on the other table, the tables being round. In how many ways can he arrange the guests?

Find the area (in square units) bounded by $x=6, y=0, 3x-2y=0$, and $x-4y+10=0$.

If $x - 2y + 4z = 6$, $3x + y + 5z = 4$ and $2x - y + 3z = 4$, then what is the value of $(2x – 3y + 5z)$?

If f: R -> R is defined by f(x) = 2x – 3 and g: R -> R is defined by g(x) = x³ + 5, then (fog)⁻¹(-9) is equal to:

In an election between two candidates, A and B, 18% of total voters did not cast their votes. 15% of the votes polled were declared invalid. B received 56% of the total valid votes and won by a majority of 6273 votes. The number of valid votes received by A was:

If six arithmetic means are inserted between 3 and $\frac{13}{2}$, the ratio of the fifth and the first mean is:

In $\triangle ABC$, $AD$ is the bisector of $\angle A$ meeting $BC$ at $D$. If $AB = 30$ cm, $BC = 20$ cm and the length of $BD$ is 4 cm less than $DC$, then the length (in cm) of $AC$ is

In a business partnership among P, Q, R and S, the profit is shared as follows: $\frac{\text{P's share}}{\text{Q's share}} = \frac{2}{3}$, $\frac{\text{Q's share}}{\text{R's share}} = \frac{4}{5}$, $\frac{\text{R's share}}{\text{S's share}} = \frac{5}{12}$. If the total profit is ₹24850, the difference (in ₹) of the combined share of profit of P and S and that of Q and R taken together is

The perimeter of a rhombus is $148 \text{ cm}$ and one of its diagonals is $70 \text{ cm}$. Its area is equal to the area of a trapezium whose parallel sides are $x \text{ cm}$ and $50 \text{ cm}$ and the distance between the parallel sides is $14 \text{ cm}$. What is the value of $x$?

The time taken by a boat to cover a certain distance in still water is 20% less than the time it takes to cover the same distance upstream. The speed of the stream is 4.5 km/h. How much total time (in hours) will the boat take to cover 60 km downstream and 30 km upstream?