CBSE-CLASS-XII SERIES
Applied-mathematics

Absolute Maxima And Absolute Minima

16 previous year questions.

Volume: 16 Ques
Yield: Medium

High-Yield Trend

16
2024

Chapter Questions
16 MCQs

01
PYQ 2024
hard
applied-mathematics ID: cbse-cla
Evaluate and hence show the region on the graph whose area it represents.
02
PYQ 2024
medium
applied-mathematics ID: cbse-cla
Find the intervals in which the following function is strictly increasing or strictly decreasing:
03
PYQ 2024
medium
applied-mathematics ID: cbse-cla
Semi-annually.
04
PYQ 2024
medium
applied-mathematics ID: cbse-cla
What will be the computer system's book value at the end of the first year and a half?
05
PYQ 2024
medium
applied-mathematics ID: cbse-cla
What is the rate of depreciation?
06
PYQ 2024
medium
applied-mathematics ID: cbse-cla
Given that the scores of a set of candidates on an IQ test are normally distributed, if the IQ test has a mean of 100 and a standard deviation of 10, determine the probability that a candidate who takes the test will score between 90 and 110.
[Given and ]
07
PYQ 2024
medium
applied-mathematics ID: cbse-cla

At 6 % p.a., compounded quarterly, find the present value of a perpetuity of ₹ 600 payable at the end of each quarter.

08
PYQ 2024
easy
applied-mathematics ID: cbse-cla

Find the effective rate which is equivalent to a normal rate of 10% p.a. compounded:

Given:

09
PYQ 2024
easy
applied-mathematics ID: cbse-cla

A recent accounting graduate opened a new business and installed a computer system that costs ₹ 45,200. The computer system will be depreciated linearly over 3 years and will have a scrap value of ₹ 0.

10
PYQ 2024
medium
applied-mathematics ID: cbse-cla
Assertion (A): The function is strictly increasing on . Reason (R): If is continuous on and derivable on , then is strictly increasing on if for all .
11
PYQ 2024
hard
applied-mathematics ID: cbse-cla
A mobile phone costs ₹ 12,000 and its scrap value after a useful life of 3 years is ₹ 3,000. Then, the book value of the mobile phone at the end of 2 years is:
1
₹ 3,000
2
₹ 6,000
3
₹ 5,000
4
₹ 7,000
12
PYQ 2024
medium
applied-mathematics ID: cbse-cla
The function is:
1
Increasing in
2
Decreasing in
3
Increasing in and decreasing in
4
Increasing in and decreasing in
13
PYQ 2024
medium
applied-mathematics ID: cbse-cla
If and , then:
1

2

3

4

14
PYQ 2024
easy
applied-mathematics ID: cbse-cla

In number theory, it is often important to find factors of an integer . The number has two trivial factors, namely 1 and . Any other factor, if it exists, is called a non-trivial factor of . Naresh has plotted a graph of some constraints (linear inequations) with points , , , , and . This graph is constructed using three non-trivial constraints and two trivial constraints. One of the non-trivial constraints is .

Graph for trivial constraints

Based on the above information, answer the following questions:

15
PYQ 2024
easy
applied-mathematics ID: cbse-cla

On her birthday, Prema decides to donate some money to children of an orphanage home.

Birthday

If there are 8 children less, everyone gets ₹ 10 more. However, if there are 16 children more, everyone gets ₹ 10 less. Let the number of children in the orphanage home be and the amount to be donated to each child be .

Based on the above information, answer the following questions:

16
PYQ 2024
easy
applied-mathematics ID: cbse-cla

Let denote the number of hours a Class 12 student studies during a randomly selected school day. The probability that can take the values , for an unknown constant :