The article

There are 450 students in a college. Each student has to choose one or more elective out of management, history and physics. Further following information is also known –

We get following venn diagram –

Considering students who took management as an elective we have,

y + x + 84 + 75 = 238

x + y = 79

Considering students who took history as an elective we have,

137 – y + x + 84 + 52 = 240

y – x = 33

Adding both the equation we get,

2y = 112

y = 56

So, x = 23

So, number of students who took all the three electives = 23

Number of students who took only management = 56

Number of students who took only history = 137 – 56 = 81

So, the number of students who took only physics = 450 – 240 – 56 – 75 = 79

Thus, we get following venn diagram –

Number of students who selected both management and physics as elective = 75 + 23 = 98

350 people are living in a particular village. There are three drinks Tea, Coffee and Hot chocolate available in the village. Each citizen has to vote for one or more of the three drinks which he/she like. It is known that:

Since 62 people like both Tea and Hot chocolate

62 – 46 = 16 people like only Tea and Hot chocolate

Since 53 people like both Hot chocolate and Coffee

53 – 46 = 7 people like only Hot chocolate and Coffee

Since 89 people like both Tea and Coffee

89 – 46 = 43 people like only Tea and Coffee.

Thus, number of people who like only Tea = 120 – 46 – 16 – 43 = 15

Thus, number of people who like only Coffee= 160 – 43 – 46 – 7 = 64

Number of people who like only Hot chocolate = 350 – 160 – 16 – 15 = 159

We get following venn diagram –

The results of annual health inspection of 100 schoolchildren is given in the following venn diagrams. It was discovered that 55% of the children were malnourished while 60% were underweight.

As 60% are underweight, 60 students are underweight and 40 adequate weight. Similarly, 55 are malnourished and 45 are adequately nourished.

Let’s fill in the values given in the two venn diagrams

Hence, vaccinated, adeq wgt and malnourished = 55 – 5 – 25 – 0 = 25

Hence, vaccinated, adeq wgt and adeq nourished = 40 – 25- 5 – 0 = 10

Hence, not vaccinate, underweight and adeq nourished = 60 – 5 – 25 – 10 = 20

Hence, total number of students who are vaccinated = 5 + 10 + 25 + 10 = 50

© 2013 - 2023 SPLessons.com