In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like neither Mathematics nor English. The number of students in the group is
Fill in the regions of a Venn diagram with two overlapping circles, one for Mathematics and one for English.
The overlapping region, representing students who like both subjects, is given directly as 4.
The part of the Mathematics circle that does not overlap with English, plus the part of the English circle that does not overlap with Mathematics, plus the overlap, plus the 6 students outside both circles, together give a total group size of 20 students.
Final answer: 20.
A student needs to enroll for a minimum of 60 credits. A student cannot enroll for
more than 70 credits. The credits are divided amongst project and three distinct
sets of courses namely, core courses, specialization courses, and elective courses.
It is compulsory for a student to enroll for exactly 15 credits of core courses and
exactly 20 credits of project. In addition, a student has to enroll for a minimum of
10 credits of specialization courses. The maximum credits of elective courses that
a student can enroll for is ______
For positive real numbers π and πΎ, the function π»πΎ(π) is defined as:
π»πΎ(π) = max(πβπΎ, 0). The max function is defined as:
max(π, π) = {π,
when π> π
π,
when πβ€π
The graph below shows the plot of a function π(π) versus π.
π(π) can be expressed as _____.
The values of Stock A and Stock B on a particular day are Rs. 50 and Rs. 80,
respectively. An investor invests Rs. 100 in Stock A and Rs. 80 in Stock B. He
sells all the stocks the next day when the value of Stock A is Rs. 55 and Stock B
is Rs. 70. The profit made by the investor is Rs. ________