Venn Diagram

Q.

In a group of students, $65$ play football, $45$ play hockey, $42$ play cricket, $20$ play football and hockey, $25$ play football and cricket, $15$ play hockey and cricket, and 8 play all three games. Find the total number of students in the group.

(Assume that each student in the group plays at least one game.)

1. $100$
2. $35$
3. $57$
4. $125$

Q.

Result (Percentage)	30 - 40	40 - 50	50 - 60	60 -70	70 - 80	80 - 90	90 - 100
No. of students	7	33	45	65	47	18	5

Q.

There was a survey in a city about number of people reading newspaper A, B and C. there are 42% of people read newspaper A; 51% of people read newspaper B and 68% of people read paper C. 30% of people read both newspaper A and B. 28% reads B and C and 36% read C and A. 8% do not read any newspaper. Find the percentage of people read all the three newspaper.

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Q.

In a team of 11, seven are batsmen, six are bowlers and one of them is a wicket keeper-batsman. How many of them are all-rounders (both batting and balling)?

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Q. Some students went for the picnic. The bugdet for the food is Rs 240. Because 4students failed to go the cost of food to each student will increase Rs 5 . So how many students went for the picnic?

Q.

Steve saw $313$ birds during a bird-watching trip to Yellowstone National Park. He observed $15$ more trumpeter swans than sand-hill cranes. He saw twice as many mountain chickadees as dusky grouses. How many birds of each type did Steve observe if he saw half as many trumpeter swans as dusky grouses?

Q.

Write the multiples of $3$ between $71$ and $93$.

Q. A total of 324 coins of 20 paise and 25 paise makes a sum of Rs 71 . The number of 25 paise coins is ___

Q.

In a factory 70% of the workers like oranges and 64% likes apples. If each worker likes, at least one fruit, then what percentage of workers like both the fruit?

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Q. The following sequence of the operations is performed on a stack PUSH(10), PUSH(20), POP, PUSH(10), PUSH(20), POP, POP, POP, PUSH(20), POP the sequence of values popped out is

1. 20, 10, 20, 10, 20
2. 20, 20, 10, 10, 20
3. 10, 20, 20, 10, 20
4. 20, 20, 10, 20, 10

Q.

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

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Q.

Q. A segment $AB$ is divided at point $P$ Such that $\frac{PB}{NB}=\frac{3}{7},$ then find the ratio $AP:PB$