# Zonal Theorem

## Trending Questions

**Q.**In a city 45% of the people read English and Hindi newspapers. 15% read only Urdu newspaper and 75% read Hindi newspaper. If nobody reads all the three newspapers and everybody read atleast one newspaper out of English, Hindi and Urdu news papers, how many read Urdu newspaper?

- Min 30%
- Max 45%
- Max 55%
- Min 25%

**Q.**In a town of 10, 000 families it was found that 40% family buy newspaper A, 20% buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers, then number of families which buy A only is

- 3100
- 3300
- 2900
- 1400

**Q.**How many like photography or gardening but not horse riding?

- 106
- 114
- 110
- 102

**Q.**What is the ratio of the number of athletes qualified in long jump only to the athletes qualified in either javelin or hammer throw?

- 22 : 13
- 11 : 42
- 22 : 39
- 11 : 84

**Q.**In our coaching there were 200 students entolled for DI, 150 for English and 150 for Maths of these 80 students enrolled for both DI and English. 60 students enrolled for Maths and English, while 70 students enrolled for DI and Maths. Some of these students who are enrolled for DI classes only. Priyanka teaches those students who are enrolled for English only and Varun teaches students who are enrolled for Maths only. Sarvesh is a senior most faculty therefore, he can teach all the three subjects. Students always prefer a specialist for their respective subjects. If Diwakar teaches 80 students then the other three faculty can be arranged in terms of the number of students. Taught as:

- Sarvesh > Varun > Priyanka
- None of these
- Sarvesh > Priyanka >Varun
- Varun > Sarvesh >Priyanka

**Q.**In a hostel of 100 students capacity, 42 are science graduate, 34 are law graduate and 58 are commerce graduate. 8 students are science and law graduate, 13 students are law and commerce graduate, 18 students are commerce and science graduate. How many students ar only science graduate?

**Q.**In a pollution study of 1500 Indian canals the following data were reported. 520 were polluted by sulphur compounds, 335 polluted by phosphate 425 were polluted by crude oil, 100 were polluted by both crude oil and sulphur compounds, 180 were polluted by both sulphur compounds and phosphate, 150 were polluted by both phosphates and crude oil and 28 were polluted by sulphur compounds, phosphates and crude oil. How many of the canals were polluted by at least one of the three impurities? How many of the canals were polluted by exactly one of the three impurities?

- 678, 512
- 768, 504
- 916, 496
- 878, 504

**Q.**A survey was conducted of 100 people to find out whether they had read recent issues of Golmal, a monthly magazine. The summarized information regarding readership in 3 mpnths is given below:

Only September : 18; September but not August : 23;

July : 48; July and August : 10;

September and July : 8;

September : 28;

None of the three months : 24.

What is the number of surveyed people who have read exactly two consecutive issues (out of the three)?

- 7
- 9
- 12
- 14

**Q.**Out of 180 students in a class 7 students failed in all the three subjects viz, Physics, Chemistry, Maths. only 144 students pass in only one subject and 21 students pass in only two subjects.

(a) How many studens passed in all the three subjects?

(b) How many students passed in atleast two subjects?

(c) How many students passed in at most two subjects but atleast in one subject?

- 8, 25, 150
- 8, 29, 145
- 8, 29, 165
- 8, 25, 130

**Q.**

A group of people like - Khus, Mango, or Orange. 60 like Khus, 50 like Orange, 48 like Mango. 12 like Khus and Mango, 15 like Mango and Orange, and 20 like Orange and Khus. What are the minimum and the maximum number of people in the group respectively?

- 115, 119
- 111, 123
- 111, 121
- 123, 135