CBSE Class 12 Mathematics Daily Practice Questions 22 October 2023

CBSE Class 12 Mathematics Daily Practice Questions 22 October 2023: Solving CBSE Class 12 Mathematics practice questions helps students to be ready for different types of questions and solve problems within the given time frame. Candidates can ace CBSE Class 12 Mathematics exam if they practice questions from each topic daily as it will help in better retention and application of learned knowledge. 

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CBSE Class 12 Mathematics Daily Practice Questions 22 October 2023

Check out the CBSE Class 12 Mathematics daily practice questions for 22th October here:

Section A: Multiple Choice Questions

Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a function from A to B. Based on the given information, f is best defined as:
a) Surjective function 
b) Injective function
c) Bijective function 
d) function

Section B: Very Short Answer
Find the vector joining the points P(2, 3, 0) and Q(– 1, – 2, – 4) directed from P to Q.

Section C: Short Answer Type Questions

A man and his wife appear for an interview for two posts. The probability of the husband’s selection is 1/7 and that of the wife’s selection is 1/5. Find the probability that only one of them will be selected.

Section D: Long Answer Type

The length x of a rectangle is decreasing at the rate of 3 cm/minute and the width y is increasing at the rate of 2cm/min. when x = 10cm and y = 6cm, find the ratio of change of 

(a) the perimeter 

(b) the area of the rectangle.

Section E: Case Study

The fuel cost per hour for running a train is proportional to the square of the speed it generates in km per hour. If the fuel costs Rs. 48 per hour at speed 16 km per hour and the fixed charges to run the train amount to Rs. 1200 per hour. Assume the speed of the train as v km/h. Based on the given information, answer the following questions.

(i) Given that the fuel cost per hour is k times the square of the speed the train generates in km/h, the value of k is:

a) 16/3

b) 1/3

c) 3 

d) 3/16

(ii) The most economical speed to run the train is:

a) 18km/h 

b) 5km/h

c) 80km/h 

d) 40km/h

(iii) The fuel cost for the train to travel 500km at the most economical speed is:

a) Rs. 3750

b) Rs. 750

c) Rs. 7500

d) Rs. 75000

(iv) The total cost of the train to travel 500km at the most economical speed is:

a) Rs. 3750 

b) Rs. 75000

c) Rs. 7500 

d) Rs. 15000

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