BBA-DBE Bangalore 2026

In an election held in a town, there were three candidates Arjun, Bhavesh, and Charan. Out of the total registered voters, 18% did not cast their votes. During counting, it was found that 6% of the votes polled were declared invalid. Among the valid votes, Arjun received 40% of the votes, while Bhavesh and Charan received the remaining valid votes in the ratio of 7 : 5, respectively. If Arjun won the election by 1,44,525 votes over Charan, then find the total number of registered voters in the town.

Two inlet pipes A and B can fill a tank in 18 hours and 24 hours, respectively, while an outlet pipe C can empty the full tank in X hours. Initially, all three pipes are opened together. After 8 hours, pipe B is closed, and another 6 hours later, pipe C is also closed. The remaining portion of the tank is then filled by pipe A alone. If the tank gets completely filled in a total of 16 hours, find the value of X.

The ratio between two consecutive natural numbers (in ascending order) is reversed if seven is added to the first number and four is added to the second number. The sum of the two consecutive numbers is _______.

A company produces rectangular advertising boards such that the width is always at least 8 cm shorter than the length, and both the length and width are integers. If the area of a board cannot be more than $320\text{ cm}^2$ and the width is $x$ cm, then find the maximum possible value of $x$.

The company earned an average profit of ₹1,50,000 on each exported car and ₹80,000 on each car sold within the country. What is the percentage increase in the difference between export profit and domestic profit (in ₹ crore) in 2024 compared to 2023 if the profit margins remained the same?

Find the percentage by which the total number of cars sold within the country in 2022 and 2023 together exceeds the total number of cars sold within the country in 2020 and 2024 together. (Round off your answer to two decimal places.)

Find the total number of cars exported by the company in the years 2021 and 2024.

Find the ratio of the total number of cars exported in 2020 and 2021 together to the total number of cars manufactured in 2024.

A businessman purchased some notebooks for ₹960. If he had bought 8 more notebooks for the same amount, the cost of each notebook would have decreased by ₹4. What was the original number of notebooks purchased?

If all the letters of the word MANAGER are arranged to form 7-letter words (with or without meaning), and all such words are arranged lexicographically (as in a dictionary), how many of these words will precede the word MANAGER?

The time taken by a boat to travel a certain distance upstream is equal to the time taken by it to travel 2.5 times the same distance downstream. The speed of the boat in still water is 7 km/h. How much time (in hours) will the boat take to travel 20 km upstream and 36 km downstream?

A bookstore sold 320 books in a week, including fiction and non-fiction books. Each fiction book was sold for ₹240, and each non-fiction book for ₹180. If the total revenue earned from all the books sold was ₹65,760, find the absolute difference between the numbers of fiction books and non- fiction books sold.

A sum of money is invested at a compound interest of 21% per annum compounded annually for 1 year. An equal sum is invested at 20% per annum compound interest compounded half yearly for 1 year. Which of the following statements is correct?

ABCD is a cyclic quadrilateral. AB and DC are produced to meet at P. AD and BC are produced to meet at Q.

If $\angle AQB=2x^\circ$, $\angle QAB=3x^\circ$ and $\angle BPC=x^\circ$, then what is the value of $x$?

Find the area (in square units) of the triangle formed by the region bounded by the x-axis, the straight line $3x+7y=42$, and the straight line $4x+9y=72$.

A theatre has 30 rows of seats arranged in such a way that the number of seats in each row forms an arithmetic progression. The first row contains 18 seats, and each successive row has 3 more seats than the previous row. Due to renovation rules, only those rows whose seat count is divisible by 6 are reserved for premium booking. Find the total number of premium seats in the theatre.

Find the sum of the squares of the first twelve positive multiples of 8.

The 5th term of an arithmetic sequence is 20 and its 10th term is 35. The first term of a geometric sequence is the same as the first term of the arithmetic sequence mentioned above, while the 4th term of the geometric sequence is 1. What will be the sum to infinity of the arithmetic-geometric sequence whose $n$-th term is given by $[a+(n-1)d]\times r^{n-1}$, where $a$ is the first term of both the arithmetic and the geometric sequences, $d$ is the common difference of the arithmetic sequence, and $r$ is the common ratio of the geometric sequence?

The length of each side of a regular hexagon is 12 cm. The length of one of the diagonals of a rhombus whose area is equal to $\sqrt{3}$ times the area of the hexagon is 72 cm. What is the length (in cm) of the other diagonal of the rhombus?

A polynomial $P(x)=x^4+3x^3-5x^2+7x+9$ is divided separately by $(x-2)$ and $(x+1)$, giving remainders $R_1$ and $R_2$, respectively. Find the value of $\dfrac{R_1+R_2}{2}$.