# Vocational training complements traditional education by providing

Q 38:- Vocational training complements traditional education by providing practical skills and hands-on experience. While education equips individuals with a broad knowledge base. Vocational training focuses on job-specific skills, enhancing employability thus making the students self-reliant. Keeping this in view, a teacher made the following table giving the frequency distribution of students/adults undergoing vocational training from the training institute.                     [CBSE   2024]

From the above answer the following question :

(i) What is the lower limit of the model class of the above data ?                (1)

(ii) (a) Find the median class of the above data.                      (2)

OR

(b) Find the number of participants of age less than 50 years who undergo vocational training.                                         (2)

(iii) Give the empirical relationship between mean, median and mode.       (1)

Solution:- (i) Lower limit of the model class is 20

(ii) Cumulative frequency data

N = 365

N/2 = 365/2 = 182.5

The median class of the above data = 22 – 24

OR

(ii) (b) The number of participants of age less than 50 years who undergo vocational training is

= 361

(iii)The empirical relationship between mean, median and mode

3 median = mode + 2 mean

Q 36:- Teaching Mathematics through activities is a powerful approach that enhances students understanding and angagement. Keeping this in mind, Ms. Mukta planed a prime number game for class 5 students. She announces the number 2 in her class and asked the first student to multiply it by a prime number and passed it to second student. Second student also multiplied it by a prime number and passed it to third student. In this way by multiplying to a prime number, the last student got 173250.                      [CBSE    2024]

Now, Mukta asked some questions as given below to the students:

(i) What is the least prime number used by students ?             (1)

(ii) (a) How many students are in the class ?         (2)

Solution:- See full solution

Q 37:- A stable owner has four horses. He usually  tie these horses with 7 m long rope to pegs at each corner of a square shaped grass field of 20 m length, to graze in his farm. But tying with rope sometimes results in injuries to his horses, so he decided to buid fence around the area so that each horse can graze.        [CBSE   2024]

Based on the above, answer the following question :

(i) Find the area of the square shaped grass field.              (1)

(ii) (a) Find the area of the total field in which these horses can graze.                 (2)

OR

(b) If the length of the rope of each horse is increased from 7 m to 10 m, find the area grazed by one horse. (Use π = 3.14)                                (2)

(iii) What is area of the field that is left ungrazed, if the length of the rope of each horse is 7 cm ?                             (1)

Solution:- See full solution