IIM Bangalore UG and BBA DBE · Paper 7

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

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:

A team of 6 interns can digitise 900 pages in 5 days, working 6 hours a day. How many interns, working at the same rate, are needed to digitise 1,200 pages in 4 days, working 5 hours a day?

A region lies between the curve $y = x^2$ and the line $y = 2x$. Find its area.

Find the slope $\frac{dy}{dx}$ of the curve $x^2 + xy + y^2 = 7$ at the point $(1, 2)$.

The data below are for six institutes, U to Z, affiliated with an educational council. The total number of students (male and female) in all six institutes taken together is 5500.

Share of all students (pie chart): U 12%, V 8%, W 24%, X 15%, Y 21%, Z 20%

Number of male students (radar graph): U 350, V 200, W 650, X 400, Y 800, Z 700

If 25% of the female students from institute V are transferred to institute Z and 20% of the male students from institute Z are transferred to institute W, then after the transfer, the percentage (up to two decimal places) by which the number of students in institute Z is more than that of the students in institute U is ______.

When 1060, 2590 and 4255 are divided by the greatest number $x$, the remainder in each case is $y$. What is the value of $(3x - 14y)$?

If $3x^2 - ax + 6 = ax^2 + 2x + 2$ has only one (repeated) solution, then the positive integral solution of $a$ is:

A number is chosen at random from the integers 1 to 50. What is the probability that it is divisible by 4 or by 6?

Two cyclists start at the same time from towns X and Y and ride towards each other at constant speeds. They first meet 60 km from X. Each rides on to the other town, turns back at once, and they meet again 40 km from Y. How far apart are X and Y?

The numbers below come from a Venn diagram of the students studying Math, English and Hindi. (NOTE: You have to take the given data to be true even if they seem to be at variance from commonly known facts.)

Math 29, English 25, Hindi 25

Math and English 8, Math and Hindi 4, English and Hindi 5

All three subjects 3

(Each figure for two subjects includes the students who study all three.)

How many students are studying Math as well as English but not Hindi?

MPQO is related to SVWU in a certain way based on the English alphabetical order. In the same way, DGHF is related to JMNL. To which of the following is KNOM related, following the same logic?

Seven people, A, B, C, D, E, F and G, are sitting in a row, facing north. Only two people sit to the left of E. Only three people sit between E and A. B sits second to the right of C. B is not an immediate neighbour of A. D sits to the immediate right of F.

Who sits at the extreme left end of the line?

In a row of students facing north, Anu is 14th from the left end and Bala is 20th from the right end. When they swap places, Anu becomes 25th from the left end. What is Bala's position from the right end after the swap?

Six friends, Kabir, Lata, Mohan, Nisha, Omar and Priya, live on the six floors of a building, one on each floor; the lowest floor is floor 1 and the top floor is floor 6. Each plays a different game: cricket, football, hockey, tennis, chess and badminton.

Omar lives below Kabir, and exactly two people live between them.

The cricket player lives immediately below Kabir.

Nisha lives above Kabir but below Mohan.

Lata lives below Priya.

The tennis player lives immediately above the chess player.

The football player lives immediately above the badminton player.

The chess player lives below the badminton player.

Mohan does not play hockey.

Which game does the person who lives immediately above Kabir play?

Replace “like finding a needle in a haystack” in the sentence below with the CORRECT option.

Finding your lost friend during Haj in Mecca will be like finding a needle in a haystack.

Select the CORRECT option to fill in the blank.

The selectors were criticized for choosing a weak team for the World Cup. The team faced defeats in the initial stages and performed well later. Contrary to general belief the ______.

Fill in the blanks with suitable words from the options given below.

The effects of artificial intelligence (AI) are profound and multifaceted, transforming various aspects of _______ and industry. AI enhances efficiency and productivity by automating routine tasks and enabling advanced data analysis, leading to _______ solutions and insights in fields such as healthcare, finance, and transportation.

Select the most appropriate option to fill in the blank.

Her collection of paintings is very __________.

Choose the most appropriate set of words to fill in the blanks in the sentence below.

The RTE admission confirmation deadline was extended to May 15 ______ 4986 students failed ______ confirm allotted seats, ensuring eligible candidates receive another opportunity ______ admission confirmation.