BBA-DBE Bangalore 2024 · Slot 2

Among the five types of events, which one saw maximum participation from athletes of the five given states, taken together?

Approximately what percentage of the total number of participants from the five states taken together was equal to the total number of
participants from Punjab?

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?

$67.5 \%$ of all participants from Kerala at the Games were female. If we look at the sex-ratio of participants from Kerala as per the type of events, $56.25 \%$ of those in track events and $\frac{7}{9}$ of those in field events were female. The ratio of female and male participants from the state in swimming events was given as $9: 5$. If the number of female participants from Kerala in boxing and wrestling was $y$ times the number of their male counterparts in the same type of events, which of the options below is the closest to the minimum value of $y$ ?

Let $\dfrac{m}{n} = \dfrac{90^2+5 \times 90+4}{90^2+5\times 90+6} \times \dfrac{91^2+5\times 91+4}{91^2+5\times 91+6} \times .......\times \dfrac{98^2+5\times 98+4}{98^2+5\times 98+6}$ where m and n are co-primes.

What is the value of $|m - n|$ ?

If the number 123k578 is divisible by 11, then what is the value of k?

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

A, B and C work in a workshop for creating identical idols. A can craft 10 idols in 150 days. Similarly, B and C can individually create 16 idols in 192 days and 320 days, respectively. B works every day, A works only on alternate days starting from the first day, i.e. 1st March, and C also works only on alternate days starting from the second day, i.e 2nd March. On which date will the construction of 2 idols be completed?

A boy agrees to work at the rate of one rupee on the first day, two rupees on the second day, four rupees on third day and
so on, thus getting on any day twice the amount he received just the day before. How many rupees will the boy earn in all, if
he started working on the $5^{th}$ of March and completed the work on the $28^{th}$ of March?

Out of 7 different consonants and 4 different vowels, how many words (not necessarily meaningful) of 4 consonants and 2 vowels can be formed?

A room, with a length of 18m, a height of 15 m and a total surface area of 1332 m² is to be divided into 4 m wide small rooms, by inserting plywood sheets in the room. To minimize the expenditure on the purchase of these sheets, how many 18 m × 15 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?

The simple interest on a certain sum of money invested at 7.5% per annum for 4 years is ₹243. What was the sum (in ₹) invested?

Nidhi reached her institute in 3 hours while travelling by bus with a wheel radius of 70 cm and making 250 revolutions in one minute. One day, she left for the institute one hour later than usual time. Then to reach her institute on time, she should increase her speed by ____. [Use $\pi = \frac{22}{7}$]

If the equation $(m - 3)x^2 - 2mx + 5m = 0$ has real and positive roots, then the possible value(s) of m lies in:

A pair of consecutive odd positive integers, both of which are smaller than 19, have a sum that is more than 22. How many such pairs will be there, if we allow a number to be in more than one pair?

The measure of each exterior angle of a regular polygon having ‘p' sides is half of the measure of each of its interior angles. The value of 'p' is:

The average of three numbers is 19 while the average of two of these numbers is 21.25. What is the value of the third number?

Regarding the function $f(x)=x^{2}-5 x+1$ and $g(x)=1-x-x^{3}$ on the set of real numbers, which of the following statements is not true?

Ravish paid ₹640 for a jar of 40 chocolates where the amount paid included the cost of the jar. Harish paid a total of ₹1540 for one jar containing 55 chocolates and a second jar containing 45 chocolates, where the amount paid included the cost of both the jars. If all jars cost the same, and all chocolates cost the same, how much (in ₹) would Satish have to pay for a jar containing 35 chocolates, if the amount he has to pay includes the cost of the jar as well as that of the chocolates he bought?

PQRS is a cyclic quadrilateral whose diagonals PR and QS intersect at the point T. $\angle SQR$ measures $72^\circ$, and $\angle QPR$ measures $28^\circ$. What is the measure of $\angle QRS$?