A cone with a height of 12 cm and a base radius of 5 cm contains an inscribed cylinder. What should be the height and radius of the cylinder to maximize its volume?
Which of the following is common to the method of election of the
members of Rajya Sabha and Lok Sabha?
a. Every citizen above the age of 18 is an eligible voter
b. Voter can give preference order for different candidates
c. Every vote has equal value
d. The winner must get more than half the votes
A rectangular field is to be enclosed by a fence and divided into two parts by another fence parallel to one side. If 600 meters of fencing is available, what dimensions maximize the area of the field?
The population of a town grows at a rate proportional to its current population. If the population was 5000 in 2010 and reached 8000 in 2020, find an expression for the population as a function of time. Estimate the population in 2030.
Which of the following tasks are not performed by the Election
Commission?
a. Preparing the Electoral Rolls
b. Nominating the candidates
c. Setting up polling booths
d. Implementing the model code of conduct
e. Supervising the Panchayat elections
A circular oil spill on water is expanding at a rate of 3 meters per second. How fast is the area of the spill increasing when the radius reaches 10 meters? Use related rates to find the answer.
A person invests 5000 rupees in an account that grows at an annual interest rate of 6 percent, compounded annually. Using the exponential growth formula, calculate the value of the investment after 10 years.
Which of the following resembles most a direct democracy?
a. Discussions in a family meeting
b. Election of the class monitor
c. Choice of a candidate by a political party
d. Decisions taken by the Gram Sabha
e. Opinion polls conducted by the media
A person is standing 50 meters away from the nearest point on a straight road. There is a streetlight located 40 meters along the road from this point. At what angle should the person look up to maximize their view of the streetlight? Formulate the problem and find the solution using trigonometric functions.
A company manufactures two types of products, A and B. Each unit of A requires 3 hours of machine time and 2 hours of labor, while each unit of B requires 2 hours of machine time and 4 hours of labor. The machine has a maximum available time of 60 hours, and labor is limited to 50 hours per week. If the profit per unit of A is 40 rupees and per unit of B is 50 rupees, how many units of each product should be produced weekly to maximize profit? Formulate this problem as a linear programming problem.
+91 94284 01196 (WhatsApp only)
C-15, Suvidhapark Society, Amitnagar circle, Karelibaug, Vadodara (390018)
© Copyright 2025. Doubtora. All Rights Reserved
