I) The Venn diagram for the given information would look like this:
------------------------------
| Lumbini |
------------------------------
\ /
\ /
\ /
--------------------------------------------------------------------------
\ /
\ /
\ /
-------------------------------
| Both |
-------------------------------
/ \
/ \
/ \
--------------------------------------------------------------------------
/ \
/ \
/ \
------------------------------
| Pokhara |
------------------------------
II) To find the number of students who liked neither Lumbini nor Pokhara, we need to subtract the number of students who liked Lumbini, liked Pokhara, or liked both from the total number of students:
Total students = 125
Liked Lumbini = 65
Liked Pokhara = 75
Liked both = 25
Number of students who liked neither = Total students - Liked Lumbini - Liked Pokhara + Liked both
Number of students who liked neither = 125 - 65 - 75 + 25
Number of students who liked neither = 10
Therefore, 10 students liked neither Lumbini nor Pokhara.
III) To find the number of students who liked only Lumbini, we need to subtract the number of students who liked both from the number of students who liked Lumbini:
Liked Lumbini = 65
Liked both = 25
Number of students who liked only Lumbini = Liked Lumbini - Liked both
Number of students who liked only Lumbini = 65 - 25
Number of students who liked only Lumbini = 40
Therefore, 40 students liked only Lumbini.
In a survey of 125 students of class 10 in a school, 65 preferred to visit lumbini, 75 preferred to visit Pokhara and 25 preferred both places in their annual excursion. (I) show above information in a venn-diagram (ii) find number of students who liked neither of two places (iii) find the number of students who liked only Lumbini
1 answer