Question

There are 40 students in a class. Each student is sitting one after the other occupying 1 bench at a time. They got a task to count themselves that how many students are present on that day They started counting from 1 and finished at 38.

I) How many students are sitting at odd places?
(a) 38. (b) All (c) 2. (d) 19

II) If students sitting at prime number of places went for practising cultural program, then how many students are left in the class.

(a) 36. (b) 26. (c) 19. (d) 40

Ill) If students sitting at composite number of places went for practising spots then how many students went for sports

a) 36. (b) 26. (c) 19. (d) 40​

Answer 1

I) (d) 19 students are sitting in odd places.

II) (b) 26 students are left in the class.

III) 25 students went for sports.

Given:

There are 40 students in a class.

Each student is sitting one after the other occupying 1 bench at a time.

They started counting from 1 and finished at 38.

To Find:

We have to find that,

I) How many students are sitting at odd places?

II) If students sitting at the prime number of places went for practicing cultural program, then how many students are left in the class.

Ill) If students sitting at the composite number of places went for practicing sports then how many students went for sports.

Solution:

Students of the class got a task to count themselves that how many students are present on that day.

They started counting from 1 and finished at 38.

As there is an even number of students in the class, therefore, there are 38 ÷ 2 = 19 students sitting at odd places.

Hence,  (d) 19 students are sitting in odd places.

Again,

We know that, there are 12 prime numbers between 1 and 38 , i.e., 2,3,5,7,11,13,17,19,23,29,31,37.

So, 12 students went to the practice cultural program.

Hence, (38-12)= 26 students are left in the class.

Again,

There are 25 composite numbers between 1 and 38.

Hence, 25 students went for sports.

#SPJ2

Answer 2

Answer:

Step-by-step explanation: